Integrals 1901 to 2000

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(111\)

Fricas [F(-2)]

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

integrate((a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^(5/2),x, algorithm="frica 
s")
 

Output:

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

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

Test file number \(327\)

Integral number in file \(112\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(113\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(114\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(115\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(116\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(117\)

Fricas [F(-2)]

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

integrate((a^2+x^2)^(3/2)*arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(118\)

Fricas [F(-2)]

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

integrate((a^2+x^2)^(1/2)*arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(119\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(121\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(122\)

Fricas [F(-2)]

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

integrate((a^2+x^2)^(3/2)*arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(123\)

Fricas [F(-2)]

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

integrate((a^2+x^2)^(1/2)*arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(124\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(126\)

Fricas [F(-2)]

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

integrate(arcsinh(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/7.1_Inverse_hyperbolic_sine/327_7.1.3

Test file number \(327\)

Integral number in file \(127\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(128\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(129\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(130\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(131\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(132\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(133\)

Fricas [F(-2)]

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

integrate((c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^(3/2),x, algorithm="frica 
s")
 

Output:

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

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

Test file number \(327\)

Integral number in file \(134\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(135\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(136\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(138\)

Fricas [F(-2)]

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

integrate(1/(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^(3/2),x, algorithm="fri 
cas")
 

Output:

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

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

Test file number \(327\)

Integral number in file \(139\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(140\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(141\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(143\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(144\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(183\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(184\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(185\)

Fricas [F(-2)]

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

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

Test file number \(327\)

Integral number in file \(186\)

Fricas [F(-2)]

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

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

Test file number \(327\)

Integral number in file \(187\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(188\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(189\)

Fricas [F(-2)]

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

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

Test file number \(327\)

Integral number in file \(190\)

Fricas [F(-2)]

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

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

Test file number \(327\)

Integral number in file \(191\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(192\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(193\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(194\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(195\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(196\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(197\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(198\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(199\)

Fricas [F(-2)]

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

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

Output:

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

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

Test file number \(327\)

Integral number in file \(200\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(446\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(447\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(448\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(449\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(450\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(451\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(452\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(453\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(454\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(455\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(456\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(457\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(458\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/7_Inverse_hyperbolic_functions/7.1_Inverse_hyperbolic_sine/328_7.1.4

Test file number \(328\)

Integral number in file \(459\)

Fricas [F(-2)]

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

integrate(x/(x^2+1)^(1/2)/arcsinh(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/328_7.1.4

Test file number \(328\)

Integral number in file \(460\)

Fricas [F(-2)]

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

integrate(1/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(9\)

Fricas [F(-2)]

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

integrate(1/(a-b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(10\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(72\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(73\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(74\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(75\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(76\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(77\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(78\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(79\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(80\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(81\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(82\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(83\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(84\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(85\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(86\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(87\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(88\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)*(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(89\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(90\)

Fricas [F(-2)]

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

integrate((a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(91\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(92\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(93\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(94\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(95\)

Fricas [F(-2)]

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

integrate(1/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(96\)

Fricas [F(-2)]

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

integrate(1/(d*e*x+c*e)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(97\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(98\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(99\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(100\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(101\)

Fricas [F(-2)]

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

integrate(1/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(102\)

Fricas [F(-2)]

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

integrate(1/(d*e*x+c*e)/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(103\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^4/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(104\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^3/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(105\)

Fricas [F(-2)]

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

integrate((d*e*x+c*e)^2/(a+b*arccosh(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/7.2_Inverse_hyperbolic_cosine/330_7.2

Test file number \(330\)

Integral number in file \(106\)