Integrals 901 to 1000

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(136\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(137\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(138\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(139\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(140\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(141\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(142\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(143\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(144\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(145\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(146\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(147\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(148\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(3/2)/x,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(149\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(3/2)/x^2,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
                                                                                    
                                                                                    
 

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 \(150\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*arcsin(c*x))^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(151\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsin(c*x))^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(152\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(153\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(5/2)/x,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(154\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(5/2)/x^2,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(155\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(156\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(157\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(158\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(159\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(160\)

Fricas [F(-2)]

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

integrate(x^2/(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(161\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(162\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(163\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(164\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(165\)

Fricas [F(-2)]

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

integrate(x^2/(a+b*arcsin(c*x))^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(166\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsin(c*x))^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(167\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(168\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(169\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(170\)

Fricas [F(-2)]

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

integrate((b*x)^m*arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
                                                                                    
                                                                                    
 

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 \(171\)

Fricas [F(-2)]

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

integrate((b*x)^m*arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(172\)

Fricas [F(-2)]

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

integrate((b*x)^m/arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(173\)

Fricas [F(-2)]

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

integrate((b*x)^m/arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(174\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(80\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(81\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(82\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(83\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(84\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(85\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)*(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(86\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(87\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(3/2)/(-c^2*d*x^2+d),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(88\)

Fricas [F(-2)]

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

integrate((a+b*arcsin(c*x))^(3/2)/(-c^2*d*x^2+d)^2,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(89\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(90\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(91\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(92\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(93\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(94\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(95\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)^3/(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(96\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
                                                                                    
                                                                                    
 

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 \(97\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(98\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(99\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(100\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(101\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(102\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(1/2),x, algorithm="fricas")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(103\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(1/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(104\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(1/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(105\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(1/2)/(-a^2*c*x^2+c)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(106\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(107\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(108\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(109\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(110\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(111\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(112\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arcsin(a*x)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(113\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(114\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(115\)

Fricas [F(-2)]

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

integrate(arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(116\)

Fricas [F(-2)]

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

integrate((a^2-x^2)^(3/2)*arcsin(x/a)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(117\)

Fricas [F(-2)]

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

integrate((a^2-x^2)^(1/2)*arcsin(x/a)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
                                                                                    
                                                                                    
 

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 \(118\)

Fricas [F(-2)]

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

integrate(arcsin(x/a)^(1/2)/(a^2-x^2)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(120\)

Fricas [F(-2)]

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

integrate(arcsin(x/a)^(1/2)/(a^2-x^2)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(121\)

Fricas [F(-2)]

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

integrate((a^2-x^2)^(3/2)*arcsin(x/a)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(122\)

Fricas [F(-2)]

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

integrate((a^2-x^2)^(1/2)*arcsin(x/a)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(123\)

Fricas [F(-2)]

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

integrate(arcsin(x/a)^(3/2)/(a^2-x^2)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(125\)

Fricas [F(-2)]

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

integrate(arcsin(x/a)^(3/2)/(a^2-x^2)^(5/2),x, algorithm="fricas")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(126\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(127\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(128\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(129\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(130\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(131\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(132\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(133\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(134\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(135\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(137\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(138\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(139\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/arcsin(a*x)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(140\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(142\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
                                                                                    
                                                                                    
 

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 \(143\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(182\)