Integrals 1701 to 1800

Fricas [F(-2)]

Exception generated. \[ \int \left (-\frac {3 d^2 e^{a+b x}}{4 \left (b^2-\frac {9 d^2}{4}\right ) \sqrt {\sinh (c+d x)}}+e^{a+b x} \sinh ^{\frac {3}{2}}(c+d x)\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(-3/4*d^2*exp(b*x+a)/(b^2-9/4*d^2)/sinh(d*x+c)^(1/2)+exp(b*x+a)*s 
inh(d*x+c)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/6_Hyperbolic_functions/6.7_Hyperbolic_exponential/321_6.7.1

Test file number \(321\)

Integral number in file \(17\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(41\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(42\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(43\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(44\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(45\)

Fricas [F(-2)]

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

integrate(x*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(46\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(47\)

Fricas [F(-2)]

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

integrate(x^2/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(48\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(49\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(50\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(51\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(52\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(53\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(54\)

Fricas [F(-2)]

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

integrate(x/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(55\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(56\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(118\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(119\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(120\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(121\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(122\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+c))^(1/2)/(d*e*x+c*e),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/324_7.1

Test file number \(324\)

Integral number in file \(123\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(124\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(125\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(126\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(127\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(128\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+c))^(3/2)/(d*e*x+c*e),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/324_7.1

Test file number \(324\)

Integral number in file \(129\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(130\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(131\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(132\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(133\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(134\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+c))^(5/2)/(d*e*x+c*e),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/324_7.1

Test file number \(324\)

Integral number in file \(135\)

Fricas [F(-2)]

Exception generated. \[ \int (c e+d e x)^4 (a+b \text {arcsinh}(c+d x))^{7/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*e*x+c*e)^4*(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(136\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3*(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(137\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(138\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(139\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(140\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(d*x+c))^(7/2)/(d*e*x+c*e),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/324_7.1

Test file number \(324\)

Integral number in file \(141\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(142\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(143\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(144\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(145\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(146\)

Fricas [F(-2)]

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

integrate(1/(d*e*x+c*e)/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(147\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(148\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(149\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(150\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(151\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(152\)

Fricas [F(-2)]

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

integrate(1/(d*e*x+c*e)/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(153\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(154\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(155\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(156\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(157\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(158\)

Fricas [F(-2)]

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

integrate(1/(d*e*x+c*e)/(a+b*arcsinh(d*x+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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(159\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(c e+d e x)^4}{(a+b \text {arcsinh}(c+d x))^{7/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*e*x+c*e)^4/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(160\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(161\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(162\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(163\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(164\)

Fricas [F(-2)]

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

integrate(1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(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/324_7.1

Test file number \(324\)

Integral number in file \(165\)

Fricas [F(-2)]

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

integrate(x^m*arcsinh(a*x^n),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/324_7.1

Test file number \(324\)

Integral number in file \(242\)

Fricas [F(-2)]

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

integrate(x^2*arcsinh(a*x^n),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/324_7.1

Test file number \(324\)

Integral number in file \(243\)

Fricas [F(-2)]

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

integrate(x*arcsinh(a*x^n),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/324_7.1

Test file number \(324\)

Integral number in file \(244\)

Fricas [F(-2)]

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

integrate(arcsinh(a*x^n),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/324_7.1

Test file number \(324\)

Integral number in file \(245\)

Fricas [F(-2)]

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

integrate(arcsinh(a*x^n)/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/324_7.1

Test file number \(324\)

Integral number in file \(246\)

Fricas [F(-2)]

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

integrate(arcsinh(a*x^n)/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/324_7.1

Test file number \(324\)

Integral number in file \(247\)

Fricas [F(-2)]

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

integrate(arcsinh(a*x^n)/x^3,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/324_7.1

Test file number \(324\)

Integral number in file \(248\)

Fricas [F(-2)]

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

integrate((a-I*b*arcsin(-1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(263\)

Fricas [F(-2)]

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

integrate((a-I*b*arcsin(-1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(264\)

Fricas [F(-2)]

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

integrate((a-I*b*arcsin(-1+I*d*x^2))^(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/324_7.1

Test file number \(324\)

Integral number in file \(265\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(-1+I*d*x^2))^(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/324_7.1

Test file number \(324\)

Integral number in file \(266\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(-1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(267\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(-1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(268\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(-1+I*d*x^2))^(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/324_7.1

Test file number \(324\)

Integral number in file \(269\)

Fricas [F(-2)]

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

integrate((a-I*b*arcsin(1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(270\)

Fricas [F(-2)]

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

integrate((a-I*b*arcsin(1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(271\)

Fricas [F(-2)]

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

integrate((a-I*b*arcsin(1+I*d*x^2))^(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/324_7.1

Test file number \(324\)

Integral number in file \(272\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(1+I*d*x^2))^(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/324_7.1

Test file number \(324\)

Integral number in file \(273\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(274\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(1+I*d*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/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/324_7.1

Test file number \(324\)

Integral number in file \(275\)

Fricas [F(-2)]

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

integrate(1/(a-I*b*arcsin(1+I*d*x^2))^(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/324_7.1

Test file number \(324\)

Integral number in file \(276\)

Fricas [F(-2)]

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

integrate(arcsinh(c*exp(b*x+a)),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/324_7.1

Test file number \(324\)

Integral number in file \(283\)

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/325_7.1.1

Test file number \(325\)

Integral number in file \(8\)

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/325_7.1.1

Test file number \(325\)

Integral number in file \(9\)

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/325_7.1.1

Test file number \(325\)

Integral number in file \(10\)

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/325_7.1.1

Test file number \(325\)

Integral number in file \(11\)

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/325_7.1.1

Test file number \(325\)

Integral number in file \(12\)

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/325_7.1.1

Test file number \(325\)

Integral number in file \(13\)

Fricas [F(-2)]

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

integrate(1/(a+b*arcsinh(c*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/325_7.1.1

Test file number \(325\)

Integral number in file \(14\)

Fricas [F(-2)]

Exception generated. \[ \int x^4 \sqrt {\text {arcsinh}(a x)} \, dx=\text {Exception raised: TypeError} \] 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 \(106\)

Fricas [F(-2)]

Exception generated. \[ \int x^3 \sqrt {\text {arcsinh}(a x)} \, dx=\text {Exception raised: TypeError} \] 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 \(107\)

Fricas [F(-2)]

Exception generated. \[ \int x^2 \sqrt {\text {arcsinh}(a x)} \, dx=\text {Exception raised: TypeError} \] 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 \(108\)

Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {\text {arcsinh}(a x)} \, dx=\text {Exception raised: TypeError} \] 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 \(109\)

Fricas [F(-2)]

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

integrate(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 \(110\)

Fricas [F(-2)]

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

integrate(arcsinh(a*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 \(111\)