Integrals 7201 to 7300

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\arctan (cx)}{x^2(d+e{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x(a+b\arctan (cx))}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b\arctan (cx))}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^2{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^3(a+b\arctan (cx))}{{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x(a+b\arctan (cx))}{{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b\arctan (cx))}{{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^2{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int x^3\sqrt{d+e{x}^2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x^2\sqrt{d+e{x}^2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x\sqrt{d+e{x}^2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+e{x}^2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+e{x}^2}(a+b\arctan (cx))}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+e{x}^2}(a+b\arctan (cx))}{x^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+e{x}^2}(a+b\arctan (cx))}{x^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+e{x}^2}(a+b\arctan (cx))}{x^4}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+e{x}^2}(a+b\arctan (cx))}{x^5}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+e{x}^2}(a+b\arctan (cx))}{x^6}dx=\text{Exception raised: ValueError}$$ 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. $$\int x^3{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x^2{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int {(d+e{x}^2)}^{3/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))}{x^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))}{x^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))}{x^4}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))}{x^5}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{3/2}(a+b\arctan (cx))}{x^6}dx=\text{Exception raised: ValueError}$$ 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. $$\int x^3{(d+e{x}^2)}^{5/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x^2{(d+e{x}^2)}^{5/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x{(d+e{x}^2)}^{5/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int {(d+e{x}^2)}^{5/2}(a+b\arctan (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{5/2}(a+b\arctan (cx))}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{5/2}(a+b\arctan (cx))}{x^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{5/2}(a+b\arctan (cx))}{x^3}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(d+e{x}^2)}^{5/2}(a+b\arctan (cx))}{x^4}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^3(a+b\arctan (cx))}{\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b\arctan (cx))}{\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x(a+b\arctan (cx))}{\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^2\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^3\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^4\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^3(a+b\arctan (cx))}{{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b\arctan (cx))}{{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x(a+b\arctan (cx))}{{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^2{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^3{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^4{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^4(a+b\arctan (cx))}{{(d+e{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^3(a+b\arctan (cx))}{{(d+e{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x(a+b\arctan (cx))}{{(d+e{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x{(d+e{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^2{(d+e{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^3{(d+e{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arctan (cx)}{x^4{(d+e{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\arctan (ax)}{{(c+d{x}^2)}^{7/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\arctan (ax)}{{(c+d{x}^2)}^{9/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b\arctan (cx){)}^2}{d+e{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arctan (cx){)}^2}{d+e{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arctan (cx){)}^2}{x^2(d+e{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b\arctan (cx){)}^2}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x(a+b\arctan (cx){)}^2}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arctan (cx){)}^2}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arctan (cx){)}^2}{x^2{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int (a+bx{)}^2\sqrt{\arctan (a+bx)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{a+b\arctan (c+dx)}{e+fx+g{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(c+(1+ic)\tan (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(c-(1-ic)\tan (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int x^2{\cot }^{-1}(c+(1-ic)\cot (a+bx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x{\cot }^{-1}(c+(1-ic)\cot (a+bx))dx=\text{Exception raised: ValueError}$$ 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. $$\int {\cot }^{-1}(c+(1-ic)\cot (a+bx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(c+(1-ic)\cot (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int x^2{\cot }^{-1}(c-(1+ic)\cot (a+bx))dx=\text{Exception raised: ValueError}$$ 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. $$\int x{\cot }^{-1}(c-(1+ic)\cot (a+bx))dx=\text{Exception raised: ValueError}$$ 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. $$\int {\cot }^{-1}(c-(1+ic)\cot (a+bx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(c-(1+ic)\cot (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{c+d{x}^2}{\cot }^{-1}(ax)dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(ax)}{{(c+d{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(ax)}{{(c+d{x}^2)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(ax)}{{(c+d{x}^2)}^{7/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{\cot }^{-1}(ax)}{{(c+d{x}^2)}^{9/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int (a+bx{)}^2\sqrt{{\cot }^{-1}(a+bx)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{a+b{\cot }^{-1}(c+dx)}{e+fx+g{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int (d+ex{)}^{3/2}(a+b{\sec }^{-1}(cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+ex}(a+b{\sec }^{-1}(cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b{\sec }^{-1}(cx)}{\sqrt{d+ex}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b{\sec }^{-1}(cx)}{(d+ex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b{\sec }^{-1}(cx)}{(d+ex{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b{\sec }^{-1}(cx)}{(d+ex{)}^{7/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b{\sec }^{-1}(cx))}{d+e{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b{\sec }^{-1}(cx)}{d+e{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b{\sec }^{-1}(cx)}{x^2(d+e{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^4(a+b{\sec }^{-1}(cx))}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{x^2(a+b{\sec }^{-1}(cx))}{{(d+e{x}^2)}^2}dx=\text{Exception raised: ValueError}$$ 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 $101$