Integrals 1101 to 1200

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(111\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(112\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^4}{\arccos (a x)^{7/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4/arccos(a*x)^(7/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(113\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(114\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(115\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(116\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(117\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(118\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(125\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(126\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(127\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(128\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(173\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(174\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(175\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(176\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(177\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(178\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(179\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(180\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(181\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(182\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(183\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(184\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(185\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(186\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(187\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(188\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(189\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(190\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(191\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(192\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(193\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(194\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(195\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(196\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(197\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(198\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(199\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(200\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(201\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/271_5.2.2

Test file number \(271\)

Integral number in file \(202\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(433\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(434\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(435\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(436\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(437\)

Fricas [F(-2)]

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

integrate(x^3*(-c^2*d*x^2+d)^2/(a+b*arccos(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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(438\)

Fricas [F(-2)]

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

integrate(x^2*(-c^2*d*x^2+d)^2/(a+b*arccos(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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(439\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(440\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(441\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(442\)

Fricas [F(-2)]

Exception generated. \[ \int \left (-\frac {3 x}{8 \left (1-x^2\right ) \sqrt {\arccos (x)}}+\frac {x \arccos (x)^{3/2}}{\left (1-x^2\right )^2}\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(-3/8*x/(-x^2+1)/arccos(x)^(1/2)+x*arccos(x)^(3/2)/(-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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(443\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(444\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(445\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(446\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(447\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(448\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(449\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(450\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(451\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(452\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(453\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(454\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(455\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(456\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(457\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(458\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(460\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(461\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(462\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(463\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(465\)

Fricas [F(-2)]

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

integrate(x/(-x^2+1)^(1/2)/arccos(x)^(1/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(466\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(467\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(468\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(469\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(470\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(471\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(472\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(473\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(474\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(475\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(477\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(478\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(479\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(480\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(482\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(483\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(688\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(689\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(690\)

Fricas [F(-2)]

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

integrate((a+b*arccos(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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(691\)

Fricas [F(-2)]

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

integrate((a+b*arccos(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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(692\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(693\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(694\)

Fricas [F(-2)]

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

integrate((a+b*arccos(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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(695\)

Fricas [F(-2)]

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

integrate((a+b*arccos(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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(696\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(697\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin

Test file number \(273\)

Integral number in file \(698\)