Integrals 6501 to 6600

Maxima [F(-2)]

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

integrate((e*x+d)^(1/2)*(g*x+f)^(1/2)*(a+b*arcsin(c*x)),x, algorithm="maxi 
ma")
 

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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(96\)

Maxima [F(-2)]

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

integrate((g*x+f)^(1/2)*(a+b*arcsin(c*x))/(e*x+d)^(1/2),x, algorithm="maxi 
ma")
 

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*(d*g-e*f)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(97\)

Maxima [F(-2)]

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

integrate((a+b*arcsin(c*x))/(e*x+d)^(1/2)/(g*x+f)^(1/2),x, algorithm="maxi 
ma")
 

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*g-e*f>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(98\)

Maxima [F(-2)]

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

integrate((a+b*arcsin(c*x))/(e*x+d)^(3/2)/(g*x+f)^(1/2),x, algorithm="maxi 
ma")
 

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*(d*g-e*f)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(99\)

Maxima [F(-2)]

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

integrate((a+b*arcsin(c*x))/(e*x+d)^(5/2)/(g*x+f)^(1/2),x, algorithm="maxi 
ma")
 

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*(d*g-e*f)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(100\)

Maxima [F(-2)]

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

integrate((a+b*arcsin(c*x))/(e*x+d)^(3/2)/(g*x+f)^(3/2),x, algorithm="maxi 
ma")
 

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*g-e*f>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(101\)

Maxima [F(-2)]

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

integrate((a+b*arcsin(c*x))/(e*x+d)^(5/2)/(g*x+f)^(3/2),x, algorithm="maxi 
ma")
 

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*(d*g-e*f)>0)', see `assume?` f 
or more de
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(102\)

Maxima [F(-2)]

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

integrate((a+b*arcsin(c*x))/(e*x+d)^(5/2)/(g*x+f)^(5/2),x, algorithm="maxi 
ma")
 

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*g-e*f>0)', see `assume?` for m 
ore detail
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(103\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(107\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(108\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(112\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(116\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arcsin(c*x))^2/(g*x+f),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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(134\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/(g*x+f),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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(138\)

Maxima [F(-2)]

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

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/(g*x+f),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/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(142\)

Maxima [F(-2)]

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

integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+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-c*d)*(e+c*d)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(165\)

Maxima [F(-2)]

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

integrate((h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+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-c*d)*(e+c*d)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(166\)

Maxima [F(-2)]

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

integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^2,x, algorithm="ma 
xima")
 

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)*(e+c*d)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(174\)

Maxima [F(-2)]

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

integrate((i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^3,x, algorithm="ma 
xima")
 

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)*(e+c*d)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(175\)

Maxima [F(-2)]

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

integrate((f*x^2+e*x+d)*(a+b*arcsin(c*x))^2/(h*x+g)^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(h-c*g>0)', see `assume?` for mor 
e details)
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(181\)

Maxima [F(-2)]

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

integrate((e*h*x^2+2*d*h*x+e*f)*(a+b*arcsin(c*x))^2/(e*x+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-c*d)*(e+c*d)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(182\)

Maxima [F(-2)]

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

integrate((e*h*x^2+2*d*h*x+e*f)^2*(a+b*arcsin(c*x))^2/(e*x+d)^2,x, algorit 
hm="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)*(e+c*d)>0)', see `assume 
?` for mor
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/267_5.1.5

Test file number \(267\)

Integral number in file \(183\)

Maxima [F(-2)]

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

integrate(arccos(b*x+a)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(6\)

Maxima [F(-2)]

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

integrate(arccos(b*x+a)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(7\)

Maxima [F(-2)]

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

integrate(arccos(b*x+a)/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(a-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(8\)

Maxima [F(-2)]

Exception generated. \[ \int \arccos (a+b x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(arccos(b*x+a)^(5/2),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/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(14\)

Maxima [F(-2)]

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

integrate(arccos(b*x+a)^(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/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(15\)

Maxima [F(-2)]

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

integrate(arccos(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/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(16\)

Maxima [F(-2)]

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

integrate(1/arccos(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/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(17\)

Maxima [F(-2)]

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

integrate(1/arccos(b*x+a)^(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/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(18\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\arccos (a+b x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/arccos(b*x+a)^(5/2),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/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(19\)

Maxima [F(-2)]

Exception generated. \[ \int \left (a+b \arccos \left (1+d x^2\right )\right )^4 \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*arccos(d*x^2+1))^4,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(50\)

Maxima [F(-2)]

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

integrate((a+b*arccos(d*x^2+1))^3,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(51\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(52\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(54\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(55\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(56\)

Maxima [F(-2)]

Exception generated. \[ \int \left (a+b \arccos \left (1+d x^2\right )\right )^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(64\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(65\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(66\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(67\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(68\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(69\)

Maxima [F(-2)]

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

integrate(1/(a+b*arccos(d*x^2+1))^(7/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(70\)

Maxima [F(-2)]

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

integrate(x/(-x^2+1)^(1/2)/arccos(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/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(92\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(94\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/269_5.2

Test file number \(269\)

Integral number in file \(95\)

Maxima [F(-2)]

Exception generated. \[ \int x^4 \sqrt {\arccos (a x)} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(74\)

Maxima [F(-2)]

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

integrate(x^3*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(75\)

Maxima [F(-2)]

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

integrate(x^2*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(76\)

Maxima [F(-2)]

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

integrate(x*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(77\)

Maxima [F(-2)]

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

integrate(arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(78\)

Maxima [F(-2)]

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

integrate(arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(79\)

Maxima [F(-2)]

Exception generated. \[ \int x^4 \arccos (a x)^{3/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(80\)

Maxima [F(-2)]

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

integrate(x^3*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(81\)

Maxima [F(-2)]

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

integrate(x^2*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(82\)

Maxima [F(-2)]

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

integrate(x*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(83\)

Maxima [F(-2)]

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

integrate(arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(84\)

Maxima [F(-2)]

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

integrate(arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(85\)

Maxima [F(-2)]

Exception generated. \[ \int x^4 \arccos (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4*arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(86\)

Maxima [F(-2)]

Exception generated. \[ \int x^3 \arccos (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^3*arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(87\)

Maxima [F(-2)]

Exception generated. \[ \int x^2 \arccos (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^2*arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(88\)

Maxima [F(-2)]

Exception generated. \[ \int x \arccos (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x*arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(89\)

Maxima [F(-2)]

Exception generated. \[ \int \arccos (a x)^{5/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(90\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\arccos (a x)^{5/2}}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(arccos(a*x)^(5/2)/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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(91\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4}{\sqrt {\arccos (a x)}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(92\)

Maxima [F(-2)]

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

integrate(x^3/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(93\)

Maxima [F(-2)]

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

integrate(x^2/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(94\)

Maxima [F(-2)]

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

integrate(x/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(95\)

Maxima [F(-2)]

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

integrate(1/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(96\)

Maxima [F(-2)]

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

integrate(1/x/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(97\)

Maxima [F(-2)]

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

integrate(1/x^2/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(98\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^6}{\arccos (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^6/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(99\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5}{\arccos (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^5/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(100\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4}{\arccos (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(101\)

Maxima [F(-2)]

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

integrate(x^3/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(102\)

Maxima [F(-2)]

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

integrate(x^2/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(103\)

Maxima [F(-2)]

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

integrate(x/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(104\)

Maxima [F(-2)]

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

integrate(1/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(105\)

Maxima [F(-2)]

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

integrate(1/x/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(106\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4}{\arccos (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4/arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(107\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3}{\arccos (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^3/arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(108\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2}{\arccos (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^2/arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(109\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\arccos (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x/arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(110\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\arccos (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(111\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \arccos (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/x/arccos(a*x)^(5/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(112\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4}{\arccos (a x)^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4/arccos(a*x)^(7/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(113\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^3}{\arccos (a x)^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^3/arccos(a*x)^(7/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(114\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2}{\arccos (a x)^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^2/arccos(a*x)^(7/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(115\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x}{\arccos (a x)^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x/arccos(a*x)^(7/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(116\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\arccos (a x)^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/arccos(a*x)^(7/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(117\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{x \arccos (a x)^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/x/arccos(a*x)^(7/2),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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(118\)

Maxima [F(-2)]

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

integrate((b*x)^m*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(125\)

Maxima [F(-2)]

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

integrate((b*x)^m*arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(126\)

Maxima [F(-2)]

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

integrate((b*x)^m/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(127\)

Maxima [F(-2)]

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

integrate((b*x)^m/arccos(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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(128\)

Maxima [F(-2)]

Exception generated. \[ \int (b x)^m \arccos (a x)^n \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((b*x)^m*arccos(a*x)^n,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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(129\)

Maxima [F(-2)]

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

integrate(x^3*arccos(a*x)^n,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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(130\)

Maxima [F(-2)]

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

integrate(x^2*arccos(a*x)^n,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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(131\)

Maxima [F(-2)]

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

integrate(x*arccos(a*x)^n,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/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(132\)