Integrals 6701 to 6800

Maxima [F(-2)]

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

integrate(x^2*(c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2,x, algo 
rithm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(583\)

Maxima [F(-2)]

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

integrate(x*(c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2,x, algori 
thm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(584\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2,x, algorith 
m="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(585\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2/x,x, algori 
thm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(586\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2/x^2,x, algo 
rithm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(587\)

Maxima [F(-2)]

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

integrate(x^2*(a+b*arccos(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algo 
rithm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(588\)

Maxima [F(-2)]

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

integrate(x*(a+b*arccos(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algori 
thm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(589\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algorith 
m="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(590\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/x/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algori 
thm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(591\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/x^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(1/2),x, algo 
rithm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(592\)

Maxima [F(-2)]

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

integrate(x^2*(a+b*arccos(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algo 
rithm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(593\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/x/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algori 
thm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(596\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/x^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algo 
rithm="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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(597\)

Maxima [F(-2)]

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

integrate(x^4*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(626\)

Maxima [F(-2)]

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

integrate(x^2*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(628\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(630\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(632\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))/x^4/(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(634\)

Maxima [F(-2)]

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

integrate(x*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(636\)

Maxima [F(-2)]

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

integrate(x^4*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(639\)

Maxima [F(-2)]

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

integrate(x^2*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(640\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(641\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(642\)

Maxima [F(-2)]

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

integrate(x^4*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(648\)

Maxima [F(-2)]

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

integrate(x^2*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(649\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(650\)

Maxima [F(-2)]

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

integrate((e*x^2+d)^(1/2)*(a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(651\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(652\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(653\)

Maxima [F(-2)]

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

integrate((a+b*arccos(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(665\)

Maxima [F(-2)]

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

integrate((e*x^2+d)^(1/2)*(a+b*arccos(c*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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(666\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(667\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*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+c^2*d>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(668\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^(1/2)/(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(691\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^(3/2)/(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(695\)

Maxima [F(-2)]

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

integrate(1/(e*x^2+d)/(a+b*arccos(c*x))^(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/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(700\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccos(c*x))/(g*x+f),x, algorithm="max 
ima")
 

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(g-c*f>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5

Test file number \(275\)

Integral number in file \(4\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccos(c*x))/(g*x+f)^2,x, algorithm="m 
axima")
 

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(g-c*f>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5

Test file number \(275\)

Integral number in file \(5\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/(g*x+f),x, algorithm="max 
ima")
 

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(g-c*f>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5

Test file number \(275\)

Integral number in file \(9\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/(g*x+f),x, algorithm="max 
ima")
 

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(g-c*f>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5

Test file number \(275\)

Integral number in file \(13\)

Maxima [F(-2)]

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

integrate(arctan(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/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(55\)

Maxima [F(-2)]

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

integrate(arctan(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/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(59\)

Maxima [F(-2)]

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

integrate(-arctan(-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/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(68\)

Maxima [F(-2)]

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

integrate(-arctan(-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/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(72\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan \left (\frac {c x}{\sqrt {a-c^2 x^2}}\right )^m}{\sqrt {d-\frac {c^2 d x^2}{a}}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(arctan(c*x/(-c^2*x^2+a)^(1/2))^m/(d-c^2*d*x^2/a)^(1/2),x, algori 
thm="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/276_5.3

Test file number \(276\)

Integral number in file \(134\)

Maxima [F(-2)]

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

integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^m/(b*x^2+a)^(1/2),x, algori 
thm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found  sqrt((-_SAGE_VAR_b*_SAGE_VAR_x^2)-_SAGE_VAR_a)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(140\)

Maxima [F(-2)]

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

integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^2/(b*x^2+a)^(1/2),x, algori 
thm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found  sqrt((-_SAGE_VAR_b*_SAGE_VAR_x^2)-_SAGE_VAR_a)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(141\)

Maxima [F(-2)]

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

integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))/(b*x^2+a)^(1/2),x, algorith 
m="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found  sqrt((-_SAGE_VAR_b*_SAGE_VAR_x^2)-_SAGE_VAR_a)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(142\)

Maxima [F(-2)]

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

integrate(1/(b*x^2+a)^(1/2)/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2)),x, algori 
thm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found  sqrt((-_SAGE_VAR_b*_SAGE_VAR_x^2)-_SAGE_VAR_a)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(143\)

Maxima [F(-2)]

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

integrate(1/(b*x^2+a)^(1/2)/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^2,x, algo 
rithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found  sqrt((-_SAGE_VAR_b*_SAGE_VAR_x^2)-_SAGE_VAR_a)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(144\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b x^2} \arctan \left (\frac {e x}{\sqrt {-\frac {a e^2}{b}-e^2 x^2}}\right )^3} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(b*x^2+a)^(1/2)/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^3,x, algo 
rithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imagi 
nary; found  sqrt((-_SAGE_VAR_b*_SAGE_VAR_x^2)-_SAGE_VAR_a)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/276_5.3

Test file number \(276\)

Integral number in file \(145\)

Maxima [F(-2)]

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

integrate(arctan(c*(b*x+a))*log(d*(b*x+a))/(b*x+a),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/276_5.3

Test file number \(276\)

Integral number in file \(146\)

Maxima [F(-2)]

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

integrate(x*arctan(a*x)^(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/277_5.3.2

Test file number \(277\)

Integral number in file \(41\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(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/277_5.3.2

Test file number \(277\)

Integral number in file \(42\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x,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/277_5.3.2

Test file number \(277\)

Integral number in file \(43\)

Maxima [F(-2)]

Exception generated. \[ \int x \arctan (a x)^{3/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x*arctan(a*x)^(3/2),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/277_5.3.2

Test file number \(277\)

Integral number in file \(44\)

Maxima [F(-2)]

Exception generated. \[ \int \arctan (a x)^{3/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(arctan(a*x)^(3/2),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/277_5.3.2

Test file number \(277\)

Integral number in file \(45\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arctan (a x)^{3/2}}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(arctan(a*x)^(3/2)/x,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/277_5.3.2

Test file number \(277\)

Integral number in file \(46\)

Maxima [F(-2)]

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

integrate(x/arctan(a*x)^(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/277_5.3.2

Test file number \(277\)

Integral number in file \(47\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/arctan(a*x)^(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/277_5.3.2

Test file number \(277\)

Integral number in file \(48\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \sqrt {\arctan (a x)}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/x/arctan(a*x)^(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/277_5.3.2

Test file number \(277\)

Integral number in file \(49\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x/arctan(a*x)^(3/2),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/277_5.3.2

Test file number \(277\)

Integral number in file \(50\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/arctan(a*x)^(3/2),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/277_5.3.2

Test file number \(277\)

Integral number in file \(51\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \arctan (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/x/arctan(a*x)^(3/2),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/277_5.3.2

Test file number \(277\)

Integral number in file \(52\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/278_5.3.3

Test file number \(278\)

Integral number in file \(27\)

Maxima [F(-2)]

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

integrate((a+b*arctan(c*x))/(d+I*c*d*x)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(54\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

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 \(64\)

Maxima [F(-2)]

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

integrate((a+b*arctan(c*x))^2/(d+I*c*d*x)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(107\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

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 \(110\)

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

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 \(117\)

Maxima [F(-2)]

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

integrate((a+b*arctan(c*x))^3/(d+I*c*d*x)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(124\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(685\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(686\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(687\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)*arctan(a*x)^(1/2)/x,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/279_5.3.4

Test file number \(279\)

Integral number in file \(688\)

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^2*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(689\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^2*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(690\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(691\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2*arctan(a*x)^(1/2)/x,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/279_5.3.4

Test file number \(279\)

Integral number in file \(692\)

Maxima [F(-2)]

Exception generated. \[ \int x^m \left (c+a^2 c x^2\right )^3 \sqrt {\arctan (a x)} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^m*(a^2*c*x^2+c)^3*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(693\)

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^3*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(694\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3*arctan(a*x)^(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/279_5.3.4

Test file number \(279\)

Integral number in file \(695\)

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3*arctan(a*x)^(1/2)/x,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/279_5.3.4

Test file number \(279\)

Integral number in file \(696\)

Maxima [F(-2)]

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

integrate(x^m*arctan(a*x)^(1/2)/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(697\)

Maxima [F(-2)]

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

integrate(x^3*arctan(a*x)^(1/2)/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(698\)

Maxima [F(-2)]

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

integrate(x^2*arctan(a*x)^(1/2)/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(699\)

Maxima [F(-2)]

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

integrate(x*arctan(a*x)^(1/2)/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(700\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(701\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(702\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x^2/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(703\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x^3/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(704\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x^4/(a^2*c*x^2+c),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/279_5.3.4

Test file number \(279\)

Integral number in file \(705\)

Maxima [F(-2)]

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

integrate(x^m*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(706\)

Maxima [F(-2)]

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

integrate(x^3*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(707\)

Maxima [F(-2)]

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

integrate(x^2*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(708\)

Maxima [F(-2)]

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

integrate(x*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(709\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/(a^2*c*x^2+c)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(710\)

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x/(a^2*c*x^2+c)^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/279_5.3.4

Test file number \(279\)

Integral number in file \(711\)

Maxima [F(-2)]

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

integrate(x^m*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^3,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/279_5.3.4

Test file number \(279\)

Integral number in file \(712\)

Maxima [F(-2)]

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

integrate(x^5*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^3,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/279_5.3.4

Test file number \(279\)

Integral number in file \(713\)