Integrals 6301 to 6400

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(276\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(277\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(278\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(280\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(281\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(282\)

Maxima [F(-2)]

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

integrate(arcsin(x^2+1)^2,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(290\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(292\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(293\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(294\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(295\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(296\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(297\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(298\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(346\)

Maxima [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/262_5.1

Test file number \(262\)

Integral number in file \(347\)

Maxima [F(-2)]

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

integrate(x^4*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(96\)

Maxima [F(-2)]

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

integrate(x^3*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(97\)

Maxima [F(-2)]

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

integrate(x^2*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(98\)

Maxima [F(-2)]

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

integrate(x*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(99\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(100\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(101\)

Maxima [F(-2)]

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

integrate(x^4*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(102\)

Maxima [F(-2)]

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

integrate(x^3*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(103\)

Maxima [F(-2)]

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

integrate(x^2*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(104\)

Maxima [F(-2)]

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

integrate(x*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(105\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(106\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(107\)

Maxima [F(-2)]

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

integrate(x^4*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(108\)

Maxima [F(-2)]

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

integrate(x^3*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(109\)

Maxima [F(-2)]

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

integrate(x^2*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(110\)

Maxima [F(-2)]

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

integrate(x*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(111\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(112\)

Maxima [F(-2)]

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

integrate(arcsin(a*x)^(5/2)/x,x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(113\)

Maxima [F(-2)]

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

integrate(x^4/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(114\)

Maxima [F(-2)]

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

integrate(x^3/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(115\)

Maxima [F(-2)]

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

integrate(x^2/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(116\)

Maxima [F(-2)]

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

integrate(x/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(117\)

Maxima [F(-2)]

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

integrate(1/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(118\)

Maxima [F(-2)]

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

integrate(1/x/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(119\)

Maxima [F(-2)]

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

integrate(1/x^2/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(120\)

Maxima [F(-2)]

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

integrate(x^6/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(121\)

Maxima [F(-2)]

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

integrate(x^5/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(122\)

Maxima [F(-2)]

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

integrate(x^4/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(123\)

Maxima [F(-2)]

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

integrate(x^3/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(124\)

Maxima [F(-2)]

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

integrate(x^2/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(125\)

Maxima [F(-2)]

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

integrate(x/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(126\)

Maxima [F(-2)]

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

integrate(1/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(127\)

Maxima [F(-2)]

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

integrate(1/x/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(128\)

Maxima [F(-2)]

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

integrate(x^4/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(129\)

Maxima [F(-2)]

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

integrate(x^3/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(130\)

Maxima [F(-2)]

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

integrate(x^2/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(131\)

Maxima [F(-2)]

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

integrate(x/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(132\)

Maxima [F(-2)]

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

integrate(1/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(133\)

Maxima [F(-2)]

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

integrate(1/x/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(134\)

Maxima [F(-2)]

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

integrate(x^4/arcsin(a*x)^(7/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(135\)

Maxima [F(-2)]

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

integrate(x^3/arcsin(a*x)^(7/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(136\)

Maxima [F(-2)]

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

integrate(x^2/arcsin(a*x)^(7/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(137\)

Maxima [F(-2)]

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

integrate(x/arcsin(a*x)^(7/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(138\)

Maxima [F(-2)]

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

integrate(1/arcsin(a*x)^(7/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(139\)

Maxima [F(-2)]

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

integrate(1/x/arcsin(a*x)^(7/2),x, algorithm="maxima")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(140\)

Maxima [F(-2)]

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

integrate((b*x)^m*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(171\)

Maxima [F(-2)]

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

integrate((b*x)^m*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(172\)

Maxima [F(-2)]

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

integrate((b*x)^m/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(173\)

Maxima [F(-2)]

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

integrate((b*x)^m/arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(174\)

Maxima [F(-2)]

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

integrate(x^3*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(175\)

Maxima [F(-2)]

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

integrate(x^2*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(176\)

Maxima [F(-2)]

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

integrate(x*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(177\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(178\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(179\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(180\)

Maxima [F(-2)]

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

integrate((b*x)^(3/2)*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(181\)

Maxima [F(-2)]

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

integrate((b*x)^(1/2)*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(182\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(183\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(184\)

Maxima [F(-2)]

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

integrate((b*x)^m*arcsin(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/5.1_Inverse_sine/264_5.1.2

Test file number \(264\)

Integral number in file \(185\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(102\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(103\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(104\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(105\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(106\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(107\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(108\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(109\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(110\)

Maxima [F(-2)]

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

integrate(arcsin(a*x)^(3/2)/(-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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(111\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(112\)

Maxima [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(113\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(114\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(115\)

Maxima [F(-2)]

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

integrate(arcsin(a*x)^(5/2)/(-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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(116\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(3/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(117\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(1/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(118\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(119\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(120\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(121\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(3/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(122\)

Maxima [F(-2)]

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

integrate((a^2-x^2)^(1/2)*arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(123\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(124\)

Maxima [F(-2)]

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

integrate(arcsin(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/5.1_Inverse_sine/265_5.1.3

Test file number \(265\)

Integral number in file \(125\)