Integrals 6601 to 6700

Maxima [F(-2)]

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

integrate(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 \(133\)

Maxima [F(-2)]

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

integrate(arccos(a*x)^n/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 \(134\)

Maxima [F(-2)]

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

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

Test file number \(271\)

Integral number in file \(135\)

Maxima [F(-2)]

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

integrate((b*x)^(3/2)*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 \(136\)

Maxima [F(-2)]

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

integrate((b*x)^(1/2)*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 \(137\)

Maxima [F(-2)]

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

integrate(arccos(a*x)^n/(b*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 \(138\)

Maxima [F(-2)]

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

integrate(arccos(a*x)^n/(b*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 \(139\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(85\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(90\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(101\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(102\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(103\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(106\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(107\)

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/272_5.2.3

Test file number \(272\)

Integral number in file \(108\)

Maxima [F(-2)]

Exception generated. \[ \int \left (-\frac {3 x}{8 \left (1-x^2\right ) \sqrt {\arccos (x)}}+\frac {x \arccos (x)^{3/2}}{\left (1-x^2\right )^2}\right ) \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(-3/8*x/(-x^2+1)/arccos(x)^(1/2)+x*arccos(x)^(3/2)/(-x^2+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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(443\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(444\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(445\)

Maxima [F(-2)]

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

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

Test file number \(273\)

Integral number in file \(446\)

Maxima [F(-2)]

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

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

Test file number \(273\)

Integral number in file \(447\)

Maxima [F(-2)]

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

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

Test file number \(273\)

Integral number in file \(448\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(449\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(450\)

Maxima [F(-2)]

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

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

Test file number \(273\)

Integral number in file \(451\)

Maxima [F(-2)]

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

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

Test file number \(273\)

Integral number in file \(452\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(453\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(454\)

Maxima [F(-2)]

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

integrate(arccos(a*x)^(5/2)/(-a^2*c*x^2+c)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(455\)

Maxima [F(-2)]

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

integrate(arccos(a*x)^(5/2)/(-a^2*c*x^2+c)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(456\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(3/2)*arccos(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(457\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(1/2)*arccos(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(458\)

Maxima [F(-2)]

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

integrate(arccos(x/a)^(1/2)/(a^2-x^2)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(459\)

Maxima [F(-2)]

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

integrate(arccos(x/a)^(1/2)/(a^2-x^2)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(460\)

Maxima [F(-2)]

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

integrate(arccos(x/a)^(1/2)/(a^2-x^2)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(461\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(3/2)*arccos(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(462\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(1/2)*arccos(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(463\)

Maxima [F(-2)]

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

integrate(arccos(x/a)^(3/2)/(a^2-x^2)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(464\)

Maxima [F(-2)]

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

integrate(arccos(x/a)^(3/2)/(a^2-x^2)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(465\)

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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(466\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(5/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(467\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(468\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(469\)

Maxima [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(1/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(470\)

Maxima [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(471\)

Maxima [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(472\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(5/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(473\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(474\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(475\)

Maxima [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(1/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(476\)

Maxima [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(477\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{5/2} \arccos (a x)^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(-a^2*c*x^2+c)^(5/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(478\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(479\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(480\)

Maxima [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(1/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(481\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\left (c-a^2 c x^2\right )^{3/2} \arccos (a x)^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(-a^2*c*x^2+c)^(3/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(482\)

Maxima [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(483\)

Maxima [F(-2)]

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

integrate(x^m*arccos(a*x)^n/(-a^2*x^2+1)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(499\)

Maxima [F(-2)]

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

integrate(x^3*arccos(a*x)^n/(-a^2*x^2+1)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(500\)

Maxima [F(-2)]

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

integrate(x^2*arccos(a*x)^n/(-a^2*x^2+1)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(501\)

Maxima [F(-2)]

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

integrate(x*arccos(a*x)^n/(-a^2*x^2+1)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(502\)

Maxima [F(-2)]

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

integrate(arccos(a*x)^n/x/(-a^2*x^2+1)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(504\)

Maxima [F(-2)]

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

integrate(arccos(a*x)^n/x^2/(-a^2*x^2+1)^(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/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(505\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(5/2)*(-c*e*x+e)^(1/2)*(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 \(542\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(1/2)*(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 \(543\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(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 \(544\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(1/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(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 \(545\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(1/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(3/2),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 \(546\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(1/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(5/2),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 \(547\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(5/2)*(-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 \(548\)

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 \(549\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(-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 \(550\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(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 \(551\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(3/2),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 \(552\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(5/2),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 \(553\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(5/2)*(-c*e*x+e)^(5/2)*(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 \(554\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(5/2)*(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 \(555\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(5/2)*(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 \(556\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(5/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(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 \(557\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(5/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(3/2),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 \(558\)

Maxima [F(-2)]

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

integrate((-c*e*x+e)^(5/2)*(a+b*arccos(c*x))^2/(c*d*x+d)^(5/2),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 \(559\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(5/2)*(a+b*arccos(c*x))^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 \(560\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(a+b*arccos(c*x))^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 \(561\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(a+b*arccos(c*x))^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 \(562\)

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 \(563\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/(c*d*x+d)^(3/2)/(-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 \(564\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/(c*d*x+d)^(5/2)/(-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 \(565\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(5/2)*(a+b*arccos(c*x))^2/(-c*e*x+e)^(3/2),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 \(566\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(a+b*arccos(c*x))^2/(-c*e*x+e)^(3/2),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 \(567\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(a+b*arccos(c*x))^2/(-c*e*x+e)^(3/2),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 \(568\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(3/2),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 \(569\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(3/2),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 \(571\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(5/2)*(a+b*arccos(c*x))^2/(-c*e*x+e)^(5/2),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 \(572\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(3/2)*(a+b*arccos(c*x))^2/(-c*e*x+e)^(5/2),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 \(573\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(a+b*arccos(c*x))^2/(-c*e*x+e)^(5/2),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 \(574\)

Maxima [F(-2)]

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

integrate((a+b*arccos(c*x))^2/(c*d*x+d)^(1/2)/(-c*e*x+e)^(5/2),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 \(575\)

Maxima [F(-2)]

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

integrate(x^2*(c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(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 \(578\)

Maxima [F(-2)]

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

integrate(x*(c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(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 \(579\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(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 \(580\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(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 \(581\)

Maxima [F(-2)]

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

integrate((c*d*x+d)^(1/2)*(-c*e*x+e)^(1/2)*(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 \(582\)