Integrals 201 to 300

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(363\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(364\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(365\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(366\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(367\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(368\)

Fricas [F(-2)]

Exception generated. \[ \int (e x)^{-1+3 n} \left (a+b \sqrt {c+d x^n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(369\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(370\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(371\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(372\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(373\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(374\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(375\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(376\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(377\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(378\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(379\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   do_a 
lg_rde: unimplemented kernel
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(380\)

Fricas [F(-2)]

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

integrate((x^n/(1+x^n))^(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/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(100\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/79_1.1.6.1

Test file number \(79\)

Integral number in file \(132\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/79_1.1.6.1

Test file number \(79\)

Integral number in file \(133\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a x^n+b x^{1+n}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/79_1.1.6.1

Test file number \(79\)

Integral number in file \(134\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/79_1.1.6.1

Test file number \(79\)

Integral number in file \(135\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/79_1.1.6.1

Test file number \(79\)

Integral number in file \(136\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/79_1.1.6.1

Test file number \(79\)

Integral number in file \(137\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/80_1.1.6.2

Test file number \(80\)

Integral number in file \(441\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/80_1.1.6.2

Test file number \(80\)

Integral number in file \(442\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/80_1.1.6.2

Test file number \(80\)

Integral number in file \(443\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/80_1.1.6.2

Test file number \(80\)

Integral number in file \(444\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/80_1.1.6.2

Test file number \(80\)

Integral number in file \(445\)

Fricas [F(-2)]

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

integrate((e*x)^m*(d*x+c)*(a*x^n+b*x^(1+n))^(5/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/82_1.1.6.4

Test file number \(82\)

Integral number in file \(370\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/82_1.1.6.4

Test file number \(82\)

Integral number in file \(371\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/82_1.1.6.4

Test file number \(82\)

Integral number in file \(372\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/82_1.1.6.4

Test file number \(82\)

Integral number in file \(373\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/82_1.1.6.4

Test file number \(82\)

Integral number in file \(374\)

Fricas [F(-2)]

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

integrate((e*x)^m*(d*x+c)/(a*x^n+b*x^(1+n))^(5/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/82_1.1.6.4

Test file number \(82\)

Integral number in file \(375\)

Fricas [F(-2)]

Exception generated. \[ \int x^{-1-\frac {j}{2}} \sqrt {a x^j+b x^n} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(-1-1/2*j)*(a*x^j+b*x^n)^(1/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(343\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(344\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(345\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(346\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(347\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(349\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(350\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(351\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(352\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (a x^3+b x^n\right )^{3/2}}{(c x)^{11/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a*x^3+b*x^n)^(3/2)/(c*x)^(11/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(353\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(354\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(355\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(357\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(358\)

Fricas [F(-2)]

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

integrate((c*x)^(7/2)*(a/x^3+b*x^n)^(3/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(359\)

Fricas [F(-2)]

Exception generated. \[ \int c^5 x^5 \left (\frac {a}{x^4}+b x^n\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(360\)

Fricas [F(-2)]

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

integrate((c*x)^(-1+1/2*j)/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(369\)

Fricas [F(-2)]

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

integrate((c*x)^(1/2)/(a*x^3+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(370\)

Fricas [F(-2)]

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

integrate(1/(a*x^2+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(371\)

Fricas [F(-2)]

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

integrate(1/(c*x)^(1/2)/(a*x+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(372\)

Fricas [F(-2)]

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

integrate(1/(c*x)^(3/2)/(a/x+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(374\)

Fricas [F(-2)]

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

integrate(1/c^2/x^2/(a/x^2+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(375\)

Fricas [F(-2)]

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

integrate(1/(c*x)^(5/2)/(a/x^3+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(376\)

Fricas [F(-2)]

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

integrate((c*x)^(-1+3/2*j)/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(377\)

Fricas [F(-2)]

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

integrate((c*x)^(7/2)/(a*x^3+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(378\)

Fricas [F(-2)]

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

integrate(c^2*x^2/(a*x^2+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(379\)

Fricas [F(-2)]

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

integrate((c*x)^(1/2)/(a*x+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(380\)

Fricas [F(-2)]

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

integrate(1/(c*x)^(5/2)/(a/x+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(382\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{c^4 x^4 \left (\frac {a}{x^2}+b x^n\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/c^4/x^4/(a/x^2+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(383\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(c x)^{11/2} \left (\frac {a}{x^3}+b x^n\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(c*x)^(11/2)/(a/x^3+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(384\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{c^7 x^7 \left (\frac {a}{x^4}+b x^n\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/c^7/x^7/(a/x^4+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(385\)

Fricas [F(-2)]

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

integrate(1/(x^n*(a+b*x^(2-n)))^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(394\)

Fricas [F(-2)]

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

integrate(1/(x*(b*x+a*x^(-1+n)))^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(396\)

Fricas [F(-2)]

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

integrate(1/(x^n*(a-b*x^(2-n)))^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(397\)

Fricas [F(-2)]

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

integrate(1/(x*(-b*x+a*x^(-1+n)))^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(399\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(400\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(401\)

Fricas [F(-2)]

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

integrate((c*x)^m/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(402\)

Fricas [F(-2)]

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

integrate((c*x)^m/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(403\)

Fricas [F(-2)]

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

integrate((c*x)^m/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(404\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(405\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {a x^j+b x^n} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(406\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a x^j+b x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(407\)

Fricas [F(-2)]

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

integrate(1/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(408\)

Fricas [F(-2)]

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

integrate(1/(a*x^j+b*x^n)^(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/1_Algebraic_functions/1.1_Binomial/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(409\)

Fricas [F(-2)]

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

integrate((1+c^(1/2)*x^2/a^(1/2))/(e*x^2+d)/(c*x^4+a)^(1/2),x, algorithm=" 
fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   catd 
ef: division by zero
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(81\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(100\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(101\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(102\)

Fricas [F(-2)]

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

integrate(1/(a+b*x^n+c*x^(2*n))^(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/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(103\)

Fricas [F(-2)]

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

integrate(1/(a+b*x^n+c*x^(2*n))^(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/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(104\)

Fricas [F(-2)]

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

integrate(1/(a+b*x^n+c*x^(2*n))^(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/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(105\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(77\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(85\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(93\)

Fricas [F(-2)]

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

integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p*(d*x)^m,x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(101\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(212\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(213\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(214\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(215\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(217\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(218\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(219\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(220\)