Integrals 7201 to 7300

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^2 \left (d+e x^2\right )} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^2/(e*x^2+d),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1156\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x (a+b \arctan (c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(a+b*arctan(c*x))/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1158\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \arctan (c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arctan(c*x))/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1161\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1162\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^2 \left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^2/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1163\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 (a+b \arctan (c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3*(a+b*arctan(c*x))/(e*x^2+d)^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1165\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x (a+b \arctan (c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(a+b*arctan(c*x))/(e*x^2+d)^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1166\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \arctan (c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arctan(c*x))/(e*x^2+d)^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1169\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/(e*x^2+d)^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1170\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^2 \left (d+e x^2\right )^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^2/(e*x^2+d)^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1171\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3*(e*x^2+d)^(1/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1172\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(e*x^2+d)^(1/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1173\)

Maxima [F(-2)]

Exception generated. \[ \int x \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(e*x^2+d)^(1/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e-c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1174\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(1/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1175\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} (a+b \arctan (c x))}{x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(1/2)*(a+b*arctan(c*x))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1176\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} (a+b \arctan (c x))}{x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(1/2)*(a+b*arctan(c*x))/x^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1177\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} (a+b \arctan (c x))}{x^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(1/2)*(a+b*arctan(c*x))/x^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1178\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} (a+b \arctan (c x))}{x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(1/2)*(a+b*arctan(c*x))/x^4,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1179\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} (a+b \arctan (c x))}{x^5} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(1/2)*(a+b*arctan(c*x))/x^5,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1180\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} (a+b \arctan (c x))}{x^6} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(1/2)*(a+b*arctan(c*x))/x^6,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1181\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \left (d+e x^2\right )^{3/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3*(e*x^2+d)^(3/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1182\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \left (d+e x^2\right )^{3/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(e*x^2+d)^(3/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1183\)

Maxima [F(-2)]

Exception generated. \[ \int x \left (d+e x^2\right )^{3/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(e*x^2+d)^(3/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e-c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1184\)

Maxima [F(-2)]

Exception generated. \[ \int \left (d+e x^2\right )^{3/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(3/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1185\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} (a+b \arctan (c x))}{x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(3/2)*(a+b*arctan(c*x))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1186\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} (a+b \arctan (c x))}{x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(3/2)*(a+b*arctan(c*x))/x^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1187\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} (a+b \arctan (c x))}{x^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(3/2)*(a+b*arctan(c*x))/x^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1188\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} (a+b \arctan (c x))}{x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(3/2)*(a+b*arctan(c*x))/x^4,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1189\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} (a+b \arctan (c x))}{x^5} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(3/2)*(a+b*arctan(c*x))/x^5,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1190\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} (a+b \arctan (c x))}{x^6} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(3/2)*(a+b*arctan(c*x))/x^6,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1191\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \left (d+e x^2\right )^{5/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3*(e*x^2+d)^(5/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1192\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \left (d+e x^2\right )^{5/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(e*x^2+d)^(5/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1193\)

Maxima [F(-2)]

Exception generated. \[ \int x \left (d+e x^2\right )^{5/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(e*x^2+d)^(5/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e-c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1194\)

Maxima [F(-2)]

Exception generated. \[ \int \left (d+e x^2\right )^{5/2} (a+b \arctan (c x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(5/2)*(a+b*arctan(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1195\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{5/2} (a+b \arctan (c x))}{x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(5/2)*(a+b*arctan(c*x))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1196\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{5/2} (a+b \arctan (c x))}{x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(5/2)*(a+b*arctan(c*x))/x^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1197\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{5/2} (a+b \arctan (c x))}{x^3} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(5/2)*(a+b*arctan(c*x))/x^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1198\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{5/2} (a+b \arctan (c x))}{x^4} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x^2+d)^(5/2)*(a+b*arctan(c*x))/x^4,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1199\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3*(a+b*arctan(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1200\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arctan(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1201\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x (a+b \arctan (c x))}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(a+b*arctan(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e-c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1202\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1203\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x/(e*x^2+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1204\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^2 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^2/(e*x^2+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1205\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^3 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^3/(e*x^2+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1206\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^4 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^4/(e*x^2+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1207\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 (a+b \arctan (c x))}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3*(a+b*arctan(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1208\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \arctan (c x))}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arctan(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1209\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x (a+b \arctan (c x))}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(a+b*arctan(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e-c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1210\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e-c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1211\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1212\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^2 \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^2/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1213\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^3 \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^3/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1214\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^4 \left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^4/(e*x^2+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1215\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 (a+b \arctan (c x))}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^4*(a+b*arctan(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1216\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3 (a+b \arctan (c x))}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^3*(a+b*arctan(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1217\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x (a+b \arctan (c x))}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(a+b*arctan(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e-c^2*d>0)', see `assume?` for m 
ore detail
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1219\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x/(e*x^2+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1221\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^2 \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^2/(e*x^2+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1222\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^3 \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^3/(e*x^2+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1223\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c x)}{x^4 \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))/x^4/(e*x^2+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1224\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)}{\left (c+d x^2\right )^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arctan(a*x)/(d*x^2+c)^(7/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1225\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)}{\left (c+d x^2\right )^{9/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arctan(a*x)/(d*x^2+c)^(9/2),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1226\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \arctan (c x))^2}{d+e x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arctan(c*x))^2/(e*x^2+d),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1260\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x))^2}{d+e x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))^2/(e*x^2+d),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1262\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x))^2}{x^2 \left (d+e x^2\right )} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))^2/x^2/(e*x^2+d),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1264\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 (a+b \arctan (c x))^2}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arctan(c*x))^2/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1267\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x (a+b \arctan (c x))^2}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(a+b*arctan(c*x))^2/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1268\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x))^2}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))^2/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1269\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {(a+b \arctan (c x))^2}{x^2 \left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(c*x))^2/x^2/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number \(279\)

Integral number in file \(1271\)

Maxima [F(-2)]

Exception generated. \[ \int (a+b x)^2 \sqrt {\arctan (a+b x)} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((b*x+a)^2*arctan(b*x+a)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/280_5.3.5

Test file number \(280\)

Integral number in file \(31\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \arctan (c+d x)}{e+f x+g x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arctan(d*x+c))/(g*x^2+f*x+e),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*e*g-f^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/280_5.3.5

Test file number \(280\)

Integral number in file \(62\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c+(1+i c) \tan (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arccot(c+(1+I*c)*tan(b*x+a))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(17\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c-(1-i c) \tan (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arccot(c-(1-I*c)*tan(b*x+a))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(21\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(pi-arccot(-c-(1-I*c)*cot(b*x+a))),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(27\)

Maxima [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(pi-arccot(-c-(1-I*c)*cot(b*x+a))),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(28\)

Maxima [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(pi-arccot(-c-(1-I*c)*cot(b*x+a)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(29\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c+(1-i c) \cot (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((pi-arccot(-c-(1-I*c)*cot(b*x+a)))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(30\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(pi-arccot(-c+(1+I*c)*cot(b*x+a))),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(31\)

Maxima [F(-2)]

Exception generated. \[ \int x \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x*(pi-arccot(-c+(1+I*c)*cot(b*x+a))),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(32\)

Maxima [F(-2)]

Exception generated. \[ \int \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx=\text {Exception raised: ValueError} \] Input:

integrate(pi-arccot(-c+(1+I*c)*cot(b*x+a)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(33\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(c-(1+i c) \cot (a+b x))}{x} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((pi-arccot(-c+(1+I*c)*cot(b*x+a)))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/281_5.4

Test file number \(281\)

Integral number in file \(34\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {c+d x^2} \cot ^{-1}(a x) \, dx=\text {Exception raised: ValueError} \] Input:

integrate((d*x^2+c)^(1/2)*arccot(a*x),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/284_5.4.4

Test file number \(284\)

Integral number in file \(13\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a x)}{\left (c+d x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arccot(a*x)/(d*x^2+c)^(3/2),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/284_5.4.4

Test file number \(284\)

Integral number in file \(15\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a x)}{\left (c+d x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arccot(a*x)/(d*x^2+c)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/284_5.4.4

Test file number \(284\)

Integral number in file \(16\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a x)}{\left (c+d x^2\right )^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arccot(a*x)/(d*x^2+c)^(7/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/284_5.4.4

Test file number \(284\)

Integral number in file \(17\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a x)}{\left (c+d x^2\right )^{9/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(arccot(a*x)/(d*x^2+c)^(9/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(d-a^2*c>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/284_5.4.4

Test file number \(284\)

Integral number in file \(18\)

Maxima [F(-2)]

Exception generated. \[ \int (a+b x)^2 \sqrt {\cot ^{-1}(a+b x)} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((b*x+a)^2*arccot(b*x+a)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/285_5.4.5

Test file number \(285\)

Integral number in file \(15\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \cot ^{-1}(c+d x)}{e+f x+g x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arccot(d*x+c))/(g*x^2+f*x+e),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*e*g-f^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.4_Inverse_cotangent/285_5.4.5

Test file number \(285\)

Integral number in file \(44\)

Maxima [F(-2)]

Exception generated. \[ \int (d+e x)^{3/2} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)^(3/2)*(a+b*arcsec(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(63\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {d+e x} \left (a+b \sec ^{-1}(c x)\right ) \, dx=\text {Exception raised: ValueError} \] Input:

integrate((e*x+d)^(1/2)*(a+b*arcsec(c*x)),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(64\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{\sqrt {d+e x}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arcsec(c*x))/(e*x+d)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(65\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{(d+e x)^{3/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arcsec(c*x))/(e*x+d)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(66\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{(d+e x)^{5/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arcsec(c*x))/(e*x+d)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(67\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{(d+e x)^{7/2}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arcsec(c*x))/(e*x+d)^(7/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e+c*d>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(68\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (a+b \sec ^{-1}(c x)\right )}{d+e x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(91\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{d+e x^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arcsec(c*x))/(e*x^2+d),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(93\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \sec ^{-1}(c x)}{x^2 \left (d+e x^2\right )} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((a+b*arcsec(c*x))/x^2/(e*x^2+d),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(95\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^4*(a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(100\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (a+b \sec ^{-1}(c x)\right )}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: ValueError} \] Input:

integrate(x^2*(a+b*arcsec(c*x))/(e*x^2+d)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.5_Inverse_secant/287_5.5.1

Test file number \(287\)

Integral number in file \(101\)