Integrals 2101 to 2200

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(82\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(83\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(84\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(85\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(86\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(87\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(88\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(89\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(90\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(91\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(92\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(93\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(94\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(95\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(96\)

Fricas [F(-2)]

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

integrate(arccosh(x/a)^(1/2)/(a^2-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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(97\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(98\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(99\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(100\)

Fricas [F(-2)]

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

integrate(arccosh(x/a)^(3/2)/(a^2-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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(101\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(102\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(103\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(5/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(104\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(105\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(106\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(1/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(107\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(108\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(109\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(5/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(110\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(111\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(112\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(114\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(115\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(3/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(116\)

Fricas [F(-2)]

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

integrate((-a^2*c*x^2+c)^(1/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(117\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(119\)

Fricas [F(-2)]

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

integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(120\)

Fricas [F(-2)]

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

integrate((e*x^2+d)^2*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(160\)

Fricas [F(-2)]

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

integrate((e*x^2+d)*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(161\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(162\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(c*x))^(1/2)/(e*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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(163\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(c*x))^(1/2)/(e*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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(164\)

Fricas [F(-2)]

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

integrate((e*x^2+d)*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(165\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(166\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(c*x))^(3/2)/(e*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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(167\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(c*x))^(3/2)/(e*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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(168\)

Fricas [F(-2)]

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

integrate((e*x^2+d)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(169\)

Fricas [F(-2)]

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

integrate((e*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(170\)

Fricas [F(-2)]

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

integrate(1/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(171\)

Fricas [F(-2)]

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

integrate(1/(e*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(172\)

Fricas [F(-2)]

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

integrate(1/(e*x^2+d)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(173\)

Fricas [F(-2)]

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

integrate((e*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(174\)

Fricas [F(-2)]

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

integrate(1/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(175\)

Fricas [F(-2)]

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

integrate(1/(e*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(176\)

Fricas [F(-2)]

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

integrate(1/(e*x^2+d)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/333_7.2.3

Test file number \(333\)

Integral number in file \(177\)

Fricas [F(-2)]

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

integrate(x^3*(-c^2*d*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(307\)

Fricas [F(-2)]

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

integrate(x^2*(-c^2*d*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(308\)

Fricas [F(-2)]

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

integrate(x*(-c^2*d*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(309\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(310\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)/x/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(311\)

Fricas [F(-2)]

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

integrate(x^3*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fric 
as")
 

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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(312\)

Fricas [F(-2)]

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

integrate(x^2*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm="fric 
as")
 

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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(313\)

Fricas [F(-2)]

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

integrate(x*(-c^2*d*x^2+d)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(314\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(315\)

Fricas [F(-2)]

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

integrate((-c^2*d*x^2+d)^2/x/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(316\)

Fricas [F(-2)]

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

integrate(x/(-x^2+1)^(1/2)/arccosh(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/7.2_Inverse_hyperbolic_cosine/334_7.2.4

Test file number \(334\)

Integral number in file \(317\)

Fricas [F(-2)]

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

integrate(arctanh(a*x)^(1/2)/(-a^2*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/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(280\)

Fricas [F(-2)]

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

integrate(arctanh(a*x)^(1/2)/(-a^2*x^2+1)^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/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(320\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {\text {arctanh}(a x)}}{\left (1-a^2 x^2\right )^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(arctanh(a*x)^(1/2)/(-a^2*x^2+1)^4,x, 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/7.3_Inverse_hyperbolic_tangent/339_7.3.4

Test file number \(339\)

Integral number in file \(348\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {sech}^{-1}\left (a x^n\right )}{x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(arcsech(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/7.5_Inverse_hyperbolic_secant/346_7.5

Test file number \(346\)

Integral number in file \(29\)

Fricas [F(-2)]

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

integrate(arcsech(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/7.5_Inverse_hyperbolic_secant/346_7.5

Test file number \(346\)

Integral number in file \(31\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\text {csch}^{-1}\left (a x^n\right )}{x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(arccsch(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/7.6_Inverse_hyperbolic_cosecant/348_7.6

Test file number \(348\)

Integral number in file \(23\)

Fricas [F(-2)]

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

integrate(arccsch(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/7.6_Inverse_hyperbolic_cosecant/348_7.6

Test file number \(348\)

Integral number in file \(25\)

Fricas [F(-2)]

Exception generated. \[ \int x^{100} \Gamma (0,a x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^100*exp_integral_e(1,a*x),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((x 
)^(((100)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),(a)*(x))):   There 
are no library operations named exp_integral_e       Use HyperDoc Browse o 
r issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(1\)

Fricas [F(-2)]

Exception generated. \[ \int x^2 \Gamma (0,a x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^2*exp_integral_e(1,a*x),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((x 
)^(((2)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),(a)*(x))):   There ar 
e no library operations named exp_integral_e       Use HyperDoc Browse or 
issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(2\)

Fricas [F(-2)]

Exception generated. \[ \int x \Gamma (0,a x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x*exp_integral_e(1,a*x),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated (x) 
*(exp_integral_e(((1)::EXPR INT),(a)*(x))):   There are no library operati 
ons named exp_integral_e       Use HyperDoc Browse or issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(3\)

Fricas [F(-2)]

Exception generated. \[ \int \Gamma (0,a x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(exp_integral_e(1,a*x),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated exp 
_integral_e(((1)::EXPR INT),(a)*(x)):   There are no library operations na 
med exp_integral_e       Use HyperDoc Browse or issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(4\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a x)}{x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(exp_integral_e(1,a*x)/x,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((x 
)^(((-1)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),(a)*(x))):   There a 
re no library operations named exp_integral_e       Use HyperDoc Browse or 
 issue
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(5\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a x)}{x^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((x 
)^(((-2)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),(a)*(x))):   There a 
re no library operations named exp_integral_e       Use HyperDoc Browse or 
 issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(6\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a x)}{x^3} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(exp_integral_e(1,a*x)/x^3,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((x 
)^(((-3)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),(a)*(x))):   There a 
re no library operations named exp_integral_e       Use HyperDoc Browse or 
 issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(7\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a x)}{x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(exp_integral_e(1,a*x)/x^4,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((x 
)^(((-4)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),(a)*(x))):   There a 
re no library operations named exp_integral_e       Use HyperDoc Browse or 
 issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(8\)

Fricas [F(-2)]

Exception generated. \[ \int (d x)^m \Gamma (0,b x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*x)^m*exp_integral_e(1,b*x),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
d)*(x))^(m))*(exp_integral_e(((1)::EXPR INT),(b)*(x))):   There are no lib 
rary operations named exp_integral_e       Use HyperDoc Browse or issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(79\)

Fricas [F(-2)]

Exception generated. \[ \int (c+d x)^3 \Gamma (0,a+b x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*x+c)^3*exp_integral_e(1,b*x+a),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
(d)*(x))+(c))^(((3)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),((b)*(x)) 
+(a))):   There are no library operations named exp_integral_e       Use H 
yperDoc
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(102\)

Fricas [F(-2)]

Exception generated. \[ \int (c+d x)^2 \Gamma (0,a+b x) \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
(d)*(x))+(c))^(((2)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),((b)*(x)) 
+(a))):   There are no library operations named exp_integral_e       Use H 
yperDoc
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(103\)

Fricas [F(-2)]

Exception generated. \[ \int (c+d x) \Gamma (0,a+b x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*x+c)*exp_integral_e(1,b*x+a),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
d)*(x))+(c))*(exp_integral_e(((1)::EXPR INT),((b)*(x))+(a))):   There are 
no library operations named exp_integral_e       Use HyperDoc Browse or is 
sue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(104\)

Fricas [F(-2)]

Exception generated. \[ \int \Gamma (0,a+b x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(exp_integral_e(1,b*x+a),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated exp 
_integral_e(((1)::EXPR INT),((b)*(x))+(a)):   There are no library operati 
ons named exp_integral_e       Use HyperDoc Browse or issue
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(105\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a+b x)}{c+d x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(exp_integral_e(1,b*x+a)/(d*x+c),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
(d)*(x))+(c))^(((-1)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),((b)*(x) 
)+(a))):   There are no library operations named exp_integral_e       Use 
HyperDo
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(106\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a+b x)}{(c+d x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
(d)*(x))+(c))^(((-2)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),((b)*(x) 
)+(a))):   There are no library operations named exp_integral_e       Use 
HyperDo
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(107\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a+b x)}{(c+d x)^3} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
(d)*(x))+(c))^(((-3)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),((b)*(x) 
)+(a))):   There are no library operations named exp_integral_e       Use 
HyperDo
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(108\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\Gamma (0,a+b x)}{(c+d x)^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(exp_integral_e(1,b*x+a)/(d*x+c)^4,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
(d)*(x))+(c))^(((-4)::EXPR INT)))*(exp_integral_e(((1)::EXPR INT),((b)*(x) 
)+(a))):   There are no library operations named exp_integral_e       Use 
HyperDo
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(109\)

Fricas [F(-2)]

Exception generated. \[ \int (c+d x)^m \Gamma (0,a+b x) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*x+c)^m*exp_integral_e(1,b*x+a),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >> An error occurred when FriCAS evaluated ((( 
(d)*(x))+(c))^(m))*(exp_integral_e(((1)::EXPR INT),((b)*(x))+(a))):   Ther 
e are no library operations named exp_integral_e       Use HyperDoc Browse 
 or iss
 

input file name test_cases/rubi_tests/8_Special_functions/355_8.6

Test file number \(355\)

Integral number in file \(182\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   loge 
xtint: unhandled kernel
 

input file name test_cases/rubi_tests/8_Special_functions/358_8.9

Test file number \(358\)

Integral number in file \(84\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   loge 
xtint: unhandled kernel
 

input file name test_cases/rubi_tests/8_Special_functions/358_8.9

Test file number \(358\)

Integral number in file \(85\)

Fricas [F(-2)]

Exception generated. \[ \int (1-x)^{2014} x \, dx=\text {Exception raised: RecursionError} \] Input:

integrate((1-x)^2014*x,x, algorithm="fricas")
 

Output:

Exception raised: RecursionError >> maximum recursion depth exceeded
 

input file name test_cases/extra_tests/359_MIT

Test file number \(359\)

Integral number in file \(105\)

Fricas [F(-2)]

Exception generated. \[ \int (1-x)^{2020} x \, dx=\text {Exception raised: RecursionError} \] Input:

integrate((1-x)^2020*x,x, algorithm="fricas")
 

Output:

Exception raised: RecursionError >> maximum recursion depth exceeded
 

input file name test_cases/extra_tests/359_MIT

Test file number \(359\)

Integral number in file \(227\)

Fricas [F(-2)]

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

integrate((log(1/x)/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/extra_tests/359_MIT

Test file number \(359\)

Integral number in file \(259\)

Fricas [F(-2)]

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

integrate(1/2*2^(1/2)/log(x)^(1/2)+2^(1/2)*log(x)^(1/2),x, algorithm="fric 
as")
 

Output:

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

input file name test_cases/extra_tests/359_MIT

Test file number \(359\)

Integral number in file \(302\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (e^x \log \left (\log \left (e^{x+x^2}-e^x x\right )\right )\right )^{2/9} \left (-4-4 x+e^{x^2} (4+8 x)+\left (4 e^{x^2}-4 x\right ) \log \left (e^{x+x^2}-e^x x\right ) \log \left (\log \left (e^{x+x^2}-e^x x\right )\right )\right )}{\left (9 e^{x^2}-9 x\right ) \log \left (e^{x+x^2}-e^x x\right ) \log \left (\log \left (e^{x+x^2}-e^x x\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((4*exp(x^2)-4*x)*log(exp(x)*exp(x^2)-exp(x)*x)*log(log(exp(x)*e 
xp(x^2)-exp(x)*x))+(8*x+4)*exp(x^2)-4*x-4)*(exp(x)*log(log(exp(x)*exp(x^2) 
-exp(x)*x)))^(2/9)/(9*exp(x^2)-9*x)/log(exp(x)*exp(x^2)-exp(x)*x)/log(log( 
exp(x)*exp(x^2)-exp(x)*x)),x, algorithm="fricas")
 

Output:

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

input file name test_cases/extra_tests/361_Hebisch_1

Test file number \(361\)

Integral number in file \(833\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {-6-3 e^x+e^{\frac {1}{3} \left (3 x+\log \left (2+e^x-\log \left (\frac {5}{2}\right )\right )\right )} \left (6+4 e^x-3 \log \left (\frac {5}{2}\right )\right )+3 \log \left (\frac {5}{2}\right )+\left (-6-3 e^x+3 \log \left (\frac {5}{2}\right )\right ) \log (x)}{6+3 e^x-3 \log \left (\frac {5}{2}\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(((4*exp(x)+3*log(2/5)+6)*exp(1/3*log(exp(x)+log(2/5)+2)+x)+(-3*e 
xp(x)-3*log(2/5)-6)*log(x)-3*exp(x)-3*log(2/5)-6)/(3*exp(x)+3*log(2/5)+6), 
x, algorithm="fricas")
 

Output:

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

input file name test_cases/extra_tests/361_Hebisch_1

Test file number \(361\)

Integral number in file \(975\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{3} \left (-e^{-4+\sqrt [4]{x}}-3 x \log (3)\right )} \left (-e^{-4+\sqrt [4]{x}} \sqrt [4]{x}-12 x \log (3)\right )}{48 x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/48*(-x^(1/4)*exp(x^(1/4)-4)-12*x*log(3))*exp(-1/3*exp(x^(1/4)- 
4)-x*log(3))/x,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/extra_tests/361_Hebisch_1

Test file number \(361\)

Integral number in file \(2446\)