Integrals 6701 to 6800

Maxima [F(-2)]

Exception generated. $$\int x^2(d+cdx{)}^{3/2}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $583$

Maxima [F(-2)]

Exception generated. $$\int x(d+cdx{)}^{3/2}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x*(c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2,x, algori 
thm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $584$

Maxima [F(-2)]

Exception generated. $$\int (d+cdx{)}^{3/2}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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 $585$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+cdx{)}^{3/2}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^2}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate((c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arccos(c*x))^2/x,x, algori 
thm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $586$

Maxima [F(-2)]

Exception generated. $$\int \frac{(d+cdx{)}^{3/2}(e-cex{)}^{3/2}(a+b\arccos (cx){)}^2}{x^2}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $587$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $588$

Maxima [F(-2)]

Exception generated. $$\int \frac{x(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $589$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arccos (cx){)}^2}{\sqrt{d+cdx}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ 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 $590$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arccos (cx){)}^2}{x\sqrt{d+cdx}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $591$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arccos (cx){)}^2}{x^2\sqrt{d+cdx}\sqrt{e-cex}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $592$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2(a+b\arccos (cx){)}^2}{(d+cdx{)}^{3/2}(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $593$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arccos (cx){)}^2}{x(d+cdx{)}^{3/2}(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

integrate((a+b*arccos(c*x))^2/x/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x, algori 
thm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $596$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arccos (cx){)}^2}{x^2(d+cdx{)}^{3/2}(e-cex{)}^{3/2}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $597$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $626$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
                                                                                    
                                                                                    
 

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

Test file number $273$

Integral number in file $628$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\arccos (cx)}{d+e{x}^2}dx=\text{Exception raised: ValueError}$$ 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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $630$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $632$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $634$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $636$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $639$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $640$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $641$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $642$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^4(a+b\arccos (cx))}{{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ Input:

integrate(x^4*(a+b*arccos(c*x))/(e*x^2+d)^3,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $648$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^2(a+b\arccos (cx))}{{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $649$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\arccos (cx)}{{(d+e{x}^2)}^3}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $650$

Maxima [F(-2)]

Exception generated. $$\int \sqrt{d+e{x}^2}(a+b\arccos (cx))dx=\text{Exception raised: ValueError}$$ 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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $651$

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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $652$

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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $653$

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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $665$

Maxima [F(-2)]

Exception generated. $$\int \sqrt{d+e{x}^2}(a+b\arccos (cx){)}^{2}dx=\text{Exception raised: ValueError}$$ 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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $666$

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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $667$

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/273_5.2.4_arcsin

Test file number $273$

Integral number in file $668$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $691$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
 

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

Test file number $273$

Integral number in file $695$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{(d+e{x}^2)\sqrt{a+b\arccos (cx)}}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(e>0)', see `assume?` for more de 
tails)Is e
                                                                                    
                                                                                    
 

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

Test file number $273$

Integral number in file $700$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for mor 
e details)
 

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

Test file number $275$

Integral number in file $4$

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for mor 
e details)
 

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

Test file number $275$

Integral number in file $5$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(d-c^{2}d{x}^2)}^{3/2}(a+b\arccos (cx))}{f+gx}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for mor 
e details)
 

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

Test file number $275$

Integral number in file $9$

Maxima [F(-2)]

Exception generated. $$\int \frac{{(d-c^{2}d{x}^2)}^{5/2}(a+b\arccos (cx))}{f+gx}dx=\text{Exception raised: ValueError}$$ Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(g-c*f>0)', see `assume?` for mor 
e details)
 

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

Test file number $275$

Integral number in file $13$

Maxima [F(-2)]

Exception generated. $$\int \frac{\arctan (c+(1+ic)\tan (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(arctan(c+(1+I*c)*tan(b*x+a))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

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

Test file number $276$

Integral number in file $55$

Maxima [F(-2)]

Exception generated. $$\int \frac{\arctan (c+(-1+ic)\tan (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(arctan(c+(-1+I*c)*tan(b*x+a))/x,x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

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

Test file number $276$

Integral number in file $59$

Maxima [F(-2)]

Exception generated. $$\int \frac{\arctan (c+(1-ic)\cot (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(-arctan(-c-(1-I*c)*cot(b*x+a))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

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

Test file number $276$

Integral number in file $68$

Maxima [F(-2)]

Exception generated. $$\int \frac{\arctan (c+(-1-ic)\cot (a+bx))}{x}dx=\text{Exception raised: ValueError}$$ Input:

integrate(-arctan(-c-(-1-I*c)*cot(b*x+a))/x,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c-1>0)', see `assume?` for more 
details)Is
 

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

Test file number $276$

Integral number in file $72$

Maxima [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

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

Test file number $276$

Integral number in file $134$

Maxima [F(-2)]

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

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

Output:

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

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

Test file number $276$

Integral number in file $140$

Maxima [F(-2)]

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

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

Output:

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

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

Test file number $276$

Integral number in file $141$

Maxima [F(-2)]

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

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

Output:

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

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

Test file number $276$

Integral number in file $142$

Maxima [F(-2)]

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

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

Output:

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

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

Test file number $276$

Integral number in file $143$

Maxima [F(-2)]

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

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

Output:

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

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

Test file number $276$

Integral number in file $144$

Maxima [F(-2)]

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

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

Output:

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

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

Test file number $276$

Integral number in file $145$

Maxima [F(-2)]

Exception generated. $$\int \frac{\arctan (c(a+bx))\log (d(a+bx))}{a+bx}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

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

Test file number $276$

Integral number in file $146$

Maxima [F(-2)]

Exception generated. $$\int x\sqrt{\arctan (ax)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $41$

Maxima [F(-2)]

Exception generated. $$\int \sqrt{\arctan (ax)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $42$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{\arctan (ax)}}{x}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(arctan(a*x)^(1/2)/x,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $43$

Maxima [F(-2)]

Exception generated. $$\int x\arctan (ax{)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x*arctan(a*x)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $44$

Maxima [F(-2)]

Exception generated. $$\int \arctan (ax{)}^{3/2}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(arctan(a*x)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $45$

Maxima [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $46$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{\sqrt{\arctan (ax)}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x/arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $47$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{\arctan (ax)}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $48$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{x\sqrt{\arctan (ax)}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/x/arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $49$

Maxima [F(-2)]

Exception generated. $$\int \frac{x}{\arctan (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x/arctan(a*x)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $50$

Maxima [F(-2)]

Exception generated. $$\int \frac{1}{\arctan (ax{)}^{3/2}}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(1/arctan(a*x)^(3/2),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $51$

Maxima [F(-2)]

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

integrate(1/x/arctan(a*x)^(3/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/277_5.3.2

Test file number $277$

Integral number in file $52$

Maxima [F(-2)]

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

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

Output:

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

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

Test file number $278$

Integral number in file $27$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\arctan (cx)}{(d+icdx{)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $54$

Maxima [F(-2)]

Exception generated. $$\int \frac{a+b\arctan (cx)}{x^2(d+icdx{)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $64$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arctan (cx){)}^2}{(d+icdx{)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $107$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arctan (cx){)}^2}{x^3(d+icdx{)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $110$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arctan (cx){)}^2}{x^2(d+icdx{)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $117$

Maxima [F(-2)]

Exception generated. $$\int \frac{(a+b\arctan (cx){)}^3}{(d+icdx{)}^2}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $124$

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $685$

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $686$

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $687$

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)*arctan(a*x)^(1/2)/x,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $688$

Maxima [F(-2)]

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

integrate(x^m*(a^2*c*x^2+c)^2*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $689$

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^2*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $690$

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $691$

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^2*arctan(a*x)^(1/2)/x,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $692$

Maxima [F(-2)]

Exception generated. $$\int x^m{(c+a^{2}c{x}^2)}^3\sqrt{\arctan (ax)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x^m*(a^2*c*x^2+c)^3*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $693$

Maxima [F(-2)]

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

integrate(x*(a^2*c*x^2+c)^3*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $694$

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3*arctan(a*x)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $695$

Maxima [F(-2)]

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

integrate((a^2*c*x^2+c)^3*arctan(a*x)^(1/2)/x,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $696$

Maxima [F(-2)]

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

integrate(x^m*arctan(a*x)^(1/2)/(a^2*c*x^2+c),x, algorithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $697$

Maxima [F(-2)]

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

integrate(x^3*arctan(a*x)^(1/2)/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $698$

Maxima [F(-2)]

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

integrate(x^2*arctan(a*x)^(1/2)/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $699$

Maxima [F(-2)]

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

integrate(x*arctan(a*x)^(1/2)/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $700$

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $701$

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $702$

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x^2/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $703$

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x^3/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $704$

Maxima [F(-2)]

Exception generated. $$\int \frac{\sqrt{\arctan (ax)}}{x^4(c+a^{2}c{x}^2)}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(arctan(a*x)^(1/2)/x^4/(a^2*c*x^2+c),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $705$

Maxima [F(-2)]

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

integrate(x^m*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $706$

Maxima [F(-2)]

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

integrate(x^3*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $707$

Maxima [F(-2)]

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

integrate(x^2*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $708$

Maxima [F(-2)]

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

integrate(x*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $709$

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/(a^2*c*x^2+c)^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $710$

Maxima [F(-2)]

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

integrate(arctan(a*x)^(1/2)/x/(a^2*c*x^2+c)^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $711$

Maxima [F(-2)]

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

integrate(x^m*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^3,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $712$

Maxima [F(-2)]

Exception generated. $$\int \frac{x^5\sqrt{\arctan (ax)}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: RuntimeError}$$ Input:

integrate(x^5*arctan(a*x)^(1/2)/(a^2*c*x^2+c)^3,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $713$