Integrals 1301 to 1400

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^3*arctan(a*x)^(3/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $783$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*arctan(a*x)^(3/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $784$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*arctan(a*x)^(3/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $785$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $786$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $787$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^5\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $789$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^4\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^4*arctan(a*x)^(3/2)/(a^2*c*x^2+c)^3,x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $790$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $791$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $792$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $793$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $794$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $795$

Fricas [F(-2)]

Exception generated. $$\int x^2\sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $797$

Fricas [F(-2)]

Exception generated. $$\int x\sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $798$

Fricas [F(-2)]

Exception generated. $$\int \sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $799$

Fricas [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{3/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $800$

Fricas [F(-2)]

Exception generated. $$\int x^2{(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $802$

Fricas [F(-2)]

Exception generated. $$\int x{(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $803$

Fricas [F(-2)]

Exception generated. $$\int {(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $804$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{3/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $805$

Fricas [F(-2)]

Exception generated. $$\int x^2{(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $807$

Fricas [F(-2)]

Exception generated. $$\int x{(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $808$

Fricas [F(-2)]

Exception generated. $$\int {(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $809$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{3/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $810$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{3/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^3*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $812$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{3/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $813$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{3/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $814$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $815$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $816$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x^2\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x^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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $817$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x^3\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x^3/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $818$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x^4\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x^4/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $819$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^3*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $821$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $822$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $823$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $824$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $825$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x^2{(c+a^{2}c{x}^2)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x^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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $826$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^5\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $828$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^4\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^4*arctan(a*x)^(3/2)/(a^2*c*x^2+c)^(5/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $829$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $830$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $831$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $832$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $833$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $834$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{3/2}}{x^2{(c+a^{2}c{x}^2)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(3/2)/x^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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $835$

Fricas [F(-2)]

Exception generated. $$\int x^2(c+a^{2}c{x}^2)\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $837$

Fricas [F(-2)]

Exception generated. $$\int x(c+a^{2}c{x}^2)\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $838$

Fricas [F(-2)]

Exception generated. $$\int (c+a^{2}c{x}^2)\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $839$

Fricas [F(-2)]

Exception generated. $$\int \frac{(c+a^{2}c{x}^2)\arctan (ax{)}^{5/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $840$

Fricas [F(-2)]

Exception generated. $$\int \frac{(c+a^{2}c{x}^2)\arctan (ax{)}^{5/2}}{x^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $841$

Fricas [F(-2)]

Exception generated. $$\int x^2{(c+a^{2}c{x}^2)}^2\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^2*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $843$

Fricas [F(-2)]

Exception generated. $$\int x{(c+a^{2}c{x}^2)}^2\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^2*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $844$

Fricas [F(-2)]

Exception generated. $$\int {(c+a^{2}c{x}^2)}^2\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^2*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $845$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^2\arctan (ax{)}^{5/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $846$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^2\arctan (ax{)}^{5/2}}{x^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^2*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $847$

Fricas [F(-2)]

Exception generated. $$\int x^2{(c+a^{2}c{x}^2)}^3\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^3*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $849$

Fricas [F(-2)]

Exception generated. $$\int x{(c+a^{2}c{x}^2)}^3\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^3*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $850$

Fricas [F(-2)]

Exception generated. $$\int {(c+a^{2}c{x}^2)}^3\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^3*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $851$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^3\arctan (ax{)}^{5/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $852$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^3\arctan (ax{)}^{5/2}}{x^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^3*arctan(a*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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $853$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{5/2}}{c+a^{2}c{x}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^3*arctan(a*x)^(5/2)/(a^2*c*x^2+c),x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $855$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{5/2}}{c+a^{2}c{x}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*arctan(a*x)^(5/2)/(a^2*c*x^2+c),x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $856$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{5/2}}{c+a^{2}c{x}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*arctan(a*x)^(5/2)/(a^2*c*x^2+c),x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $857$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x(c+a^{2}c{x}^2)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x/(a^2*c*x^2+c),x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $859$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x^2(c+a^{2}c{x}^2)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x^2/(a^2*c*x^2+c),x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $860$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x^3(c+a^{2}c{x}^2)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x^3/(a^2*c*x^2+c),x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $861$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x^4(c+a^{2}c{x}^2)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x^4/(a^2*c*x^2+c),x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $862$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^3*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $864$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $865$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $866$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $867$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x{(c+a^{2}c{x}^2)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x/(a^2*c*x^2+c)^2,x, 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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $868$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^5\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $870$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^4\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^4*arctan(a*x)^(5/2)/(a^2*c*x^2+c)^3,x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $871$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $872$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $873$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $874$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $875$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x{(c+a^{2}c{x}^2)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $876$

Fricas [F(-2)]

Exception generated. $$\int x^2\sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $878$

Fricas [F(-2)]

Exception generated. $$\int x\sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $879$

Fricas [F(-2)]

Exception generated. $$\int \sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^(1/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $880$

Fricas [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+a^{2}c{x}^2}\arctan (ax{)}^{5/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $881$

Fricas [F(-2)]

Exception generated. $$\int x^2{(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $883$

Fricas [F(-2)]

Exception generated. $$\int x{(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $884$

Fricas [F(-2)]

Exception generated. $$\int {(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^(3/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $885$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^{3/2}\arctan (ax{)}^{5/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $886$

Fricas [F(-2)]

Exception generated. $$\int x^2{(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $888$

Fricas [F(-2)]

Exception generated. $$\int x{(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*(a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $889$

Fricas [F(-2)]

Exception generated. $$\int {(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a^2*c*x^2+c)^(5/2)*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $890$

Fricas [F(-2)]

Exception generated. $$\int \frac{{(c+a^{2}c{x}^2)}^{5/2}\arctan (ax{)}^{5/2}}{x}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $891$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^3\arctan (ax{)}^{5/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^3*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $893$

Fricas [F(-2)]

Exception generated. $$\int \frac{x^2\arctan (ax{)}^{5/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $894$

Fricas [F(-2)]

Exception generated. $$\int \frac{x\arctan (ax{)}^{5/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x*arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $895$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $896$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $897$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x^2\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x^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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $898$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x^3\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x^3/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $899$

Fricas [F(-2)]

Exception generated. $$\int \frac{\arctan (ax{)}^{5/2}}{x^4\sqrt{c+a^{2}c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(arctan(a*x)^(5/2)/x^4/(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/5.3_Inverse_tangent/279_5.3.4

Test file number $279$

Integral number in file $900$