Integrals 1801 to 1900

Fricas [F(-2)]

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

integrate(x^4*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(112\)

Fricas [F(-2)]

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

integrate(x^3*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(113\)

Fricas [F(-2)]

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

integrate(x^2*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(114\)

Fricas [F(-2)]

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

integrate(x*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(115\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(116\)

Fricas [F(-2)]

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

integrate(arcsinh(a*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(117\)

Fricas [F(-2)]

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

integrate(x^4*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(118\)

Fricas [F(-2)]

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

integrate(x^3*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(119\)

Fricas [F(-2)]

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

integrate(x^2*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(120\)

Fricas [F(-2)]

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

integrate(x*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(121\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(122\)

Fricas [F(-2)]

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

integrate(arcsinh(a*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(123\)

Fricas [F(-2)]

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

integrate(x^4/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(124\)

Fricas [F(-2)]

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

integrate(x^3/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(125\)

Fricas [F(-2)]

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

integrate(x^2/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(126\)

Fricas [F(-2)]

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

integrate(x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(127\)

Fricas [F(-2)]

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

integrate(1/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(128\)

Fricas [F(-2)]

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

integrate(1/x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(129\)

Fricas [F(-2)]

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

integrate(1/x^2/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(130\)

Fricas [F(-2)]

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

integrate(x^4/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(131\)

Fricas [F(-2)]

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

integrate(x^3/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(132\)

Fricas [F(-2)]

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

integrate(x^2/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(133\)

Fricas [F(-2)]

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

integrate(x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(134\)

Fricas [F(-2)]

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

integrate(1/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(135\)

Fricas [F(-2)]

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

integrate(1/x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(136\)

Fricas [F(-2)]

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

integrate(x^3/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(137\)

Fricas [F(-2)]

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

integrate(x^2/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(138\)

Fricas [F(-2)]

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

integrate(x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(139\)

Fricas [F(-2)]

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

integrate(1/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(140\)

Fricas [F(-2)]

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

integrate(1/x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(141\)

Fricas [F(-2)]

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

integrate(x^3/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(142\)

Fricas [F(-2)]

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

integrate(x^2/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(143\)

Fricas [F(-2)]

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

integrate(x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(144\)

Fricas [F(-2)]

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

integrate(1/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(145\)

Fricas [F(-2)]

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

integrate(1/x/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(146\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(147\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(148\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(149\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(150\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(151\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(152\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(153\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(154\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(155\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(156\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(157\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(158\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(159\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(160\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(161\)

Fricas [F(-2)]

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

integrate(x^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(162\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(163\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(164\)

Fricas [F(-2)]

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

integrate(1/x/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(165\)

Fricas [F(-2)]

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

integrate(1/x^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(166\)

Fricas [F(-2)]

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

integrate(x^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(167\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(168\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(169\)

Fricas [F(-2)]

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

integrate(1/x/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(170\)

Fricas [F(-2)]

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

integrate(1/x^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(171\)

Fricas [F(-2)]

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

integrate(x^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(172\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(173\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(174\)

Fricas [F(-2)]

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

integrate(1/x/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(175\)

Fricas [F(-2)]

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

integrate(1/x^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(176\)

Fricas [F(-2)]

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

integrate(x^m*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(177\)

Fricas [F(-2)]

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

integrate(x^m*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(178\)

Fricas [F(-2)]

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

integrate(x^m/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(179\)

Fricas [F(-2)]

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

integrate(x^m/arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/326_7.1.2

Test file number \(326\)

Integral number in file \(180\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(80\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(81\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(82\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(83\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(84\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(85\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)*(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(86\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(87\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(88\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(89\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^3/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(90\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(91\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(92\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(93\)

Fricas [F(-2)]

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

integrate(1/(c^2*d*x^2+d)/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(94\)

Fricas [F(-2)]

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

integrate(1/(c^2*d*x^2+d)^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(95\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^3/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(96\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(97\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(98\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(99\)

Fricas [F(-2)]

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

integrate(1/(c^2*d*x^2+d)/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(100\)

Fricas [F(-2)]

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

integrate(1/(c^2*d*x^2+d)^2/(a+b*arcsinh(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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(101\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^(1/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(102\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^(1/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(103\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^(1/2)*(a+b*arcsinh(c*x))^(1/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(104\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(c*x))^(1/2)/(c^2*d*x^2+d)^(1/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(105\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(c*x))^(1/2)/(c^2*d*x^2+d)^(3/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(106\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(c*x))^(1/2)/(c^2*d*x^2+d)^(5/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(107\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^(3/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(108\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^(1/2)*(a+b*arcsinh(c*x))^(3/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(109\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^(1/2),x, algorithm="frica 
s")
 

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(110\)