Integrals 6601 to 6700

Maxima [F(-2)]

Exception generated. $$\int \arccos (ax{)}^{n}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^n}{x}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^n}{x^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int (bx{)}^{3/2}\arccos (ax{)}^{n}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \sqrt{bx}\arccos (ax{)}^{n}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^n}{\sqrt{bx}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^n}{(bx{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{a+b\arccos (cx)}{d+e{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{d+e{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+e{x}^2}(a+b\arccos (cx))dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arccos (cx)}{\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{a+b\arccos (cx)}{{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+e{x}^2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{\sqrt{d+e{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{{(d+e{x}^2)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int (-\frac{3x}{8(1-x^2)\sqrt{\arccos (x)}}+\frac{x\arccos (x{)}^{3/2}}{{(1-x^2)}^2})dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(c-a^{2}c{x}^2)}^{3/2}\sqrt{\arccos (ax)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \sqrt{c-a^{2}c{x}^2}\sqrt{\arccos (ax)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{\arccos (ax)}}{\sqrt{c-a^{2}c{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{\arccos (ax)}}{{(c-a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{\arccos (ax)}}{{(c-a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(c-a^{2}c{x}^2)}^{3/2}\arccos (ax{)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \sqrt{c-a^{2}c{x}^2}\arccos (ax{)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^{3/2}}{\sqrt{c-a^{2}c{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^{3/2}}{{(c-a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(c-a^{2}c{x}^2)}^{3/2}\arccos (ax{)}^{5/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \sqrt{c-a^{2}c{x}^2}\arccos (ax{)}^{5/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^{5/2}}{\sqrt{c-a^{2}c{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^{5/2}}{{(c-a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(a^2-x^2)}^{3/2}\sqrt{\arccos \left(\frac{x}{a}\right)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{\arccos \left(\frac{x}{a}\right)}}{{(a^2-x^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{\arccos \left(\frac{x}{a}\right)}}{{(a^2-x^2)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int {(a^2-x^2)}^{3/2}\arccos {\left(\frac{x}{a}\right)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos {\left(\frac{x}{a}\right)}^{3/2}}{{(a^2-x^2)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{(c-a^{2}c{x}^2)}^{5/2}}{\sqrt{\arccos (ax)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{(c-a^{2}c{x}^2)}^{3/2}}{\sqrt{\arccos (ax)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{c-a^{2}c{x}^2}}{\sqrt{\arccos (ax)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{\sqrt{c-a^{2}c{x}^2}\sqrt{\arccos (ax)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(c-a^{2}c{x}^2)}^{3/2}\sqrt{\arccos (ax)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(c-a^{2}c{x}^2)}^{5/2}\sqrt{\arccos (ax)}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{(c-a^{2}c{x}^2)}^{5/2}}{\arccos (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{(c-a^{2}c{x}^2)}^{3/2}}{\arccos (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{c-a^{2}c{x}^2}}{\arccos (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{\sqrt{c-a^{2}c{x}^2}\arccos (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(c-a^{2}c{x}^2)}^{3/2}\arccos (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(c-a^{2}c{x}^2)}^{5/2}\arccos (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{{(c-a^{2}c{x}^2)}^{3/2}}{\arccos (ax{)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\sqrt{c-a^{2}c{x}^2}}{\arccos (ax{)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{\sqrt{c-a^{2}c{x}^2}\arccos (ax{)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(c-a^{2}c{x}^2)}^{3/2}\arccos (ax{)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{{(c-a^{2}c{x}^2)}^{5/2}\arccos (ax{)}^{5/2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{x^m\arccos (ax{)}^n}{\sqrt{1-a^2{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{x^3\arccos (ax{)}^n}{\sqrt{1-a^2{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{x^2\arccos (ax{)}^n}{\sqrt{1-a^2{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{x\arccos (ax{)}^n}{\sqrt{1-a^2{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^n}{x\sqrt{1-a^2{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{\arccos (ax{)}^n}{x^2\sqrt{1-a^2{x}^2}}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int (d+cdx{)}^{5/2}\sqrt{e-cex}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int (d+cdx{)}^{3/2}\sqrt{e-cex}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+cdx}\sqrt{e-cex}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{e-cex}(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{e-cex}(a+b\arccos (cx){)}^2}{(d+cdx{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{e-cex}(a+b\arccos (cx){)}^2}{(d+cdx{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int (d+cdx{)}^{5/2}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int (d+cdx{)}^{3/2}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+cdx}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(e-cex{)}^{3/2}(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(e-cex{)}^{3/2}(a+b\arccos (cx){)}^2}{(d+cdx{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(e-cex{)}^{3/2}(a+b\arccos (cx){)}^2}{(d+cdx{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int (d+cdx{)}^{5/2}(e-cex{)}^{5/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int (d+cdx{)}^{3/2}(e-cex{)}^{5/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+cdx}(e-cex{)}^{5/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(e-cex{)}^{5/2}(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(e-cex{)}^{5/2}(a+b\arccos (cx){)}^2}{(d+cdx{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(e-cex{)}^{5/2}(a+b\arccos (cx){)}^2}{(d+cdx{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(d+cdx{)}^{5/2}(a+b\arccos (cx){)}^2}{\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(d+cdx{)}^{3/2}(a+b\arccos (cx){)}^2}{\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+cdx}(a+b\arccos (cx){)}^2}{\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{(d+cdx{)}^{3/2}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{(d+cdx{)}^{5/2}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(d+cdx{)}^{5/2}(a+b\arccos (cx){)}^2}{(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(d+cdx{)}^{3/2}(a+b\arccos (cx){)}^2}{(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+cdx}(a+b\arccos (cx){)}^2}{(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{(d+cdx{)}^{5/2}(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(d+cdx{)}^{5/2}(a+b\arccos (cx){)}^2}{(e-cex{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(d+cdx{)}^{3/2}(a+b\arccos (cx){)}^2}{(e-cex{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+cdx}(a+b\arccos (cx){)}^2}{(e-cex{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}(e-cex{)}^{5/2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int x^2\sqrt{d+cdx}\sqrt{e-cex}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int x\sqrt{d+cdx}\sqrt{e-cex}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{d+cdx}\sqrt{e-cex}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+cdx}\sqrt{e-cex}(a+b\arccos (cx){)}^2}{x}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt{d+cdx}\sqrt{e-cex}(a+b\arccos (cx){)}^2}{x^2}dx=\text{Exception raised: ValueError}$$ 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 $582$