Integrals 601 to 700

Fricas [F(-2)]

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

integrate(1/(c*cos(b*x+a)^m)^(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/4_Trig_functions/4.2_Cosine/197_4.2.0

Test file number \(197\)

Integral number in file \(62\)

Fricas [F(-2)]

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

integrate(1/(c*cos(b*x+a)^m)^(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/4_Trig_functions/4.2_Cosine/197_4.2.0

Test file number \(197\)

Integral number in file \(63\)

Fricas [F(-2)]

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

integrate(x*cos(b*x+a)^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(75\)

Fricas [F(-2)]

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

integrate(cos(b*x+a)^(1/2)/x,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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(77\)

Fricas [F(-2)]

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

integrate(x*cos(b*x+a)^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(78\)

Fricas [F(-2)]

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

integrate(cos(b*x+a)^(3/2)/x,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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(80\)

Fricas [F(-2)]

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

integrate(-1/3*x/cos(b*x+a)^(1/2)+x*cos(b*x+a)^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(81\)

Fricas [F(-2)]

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

integrate(cos(x)^(3/2)/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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(82\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(83\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(85\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(86\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(88\)

Fricas [F(-2)]

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

integrate(x/cos(b*x+a)^(3/2)+x*cos(b*x+a)^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(89\)

Fricas [F(-2)]

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

integrate(x/cos(x)^(3/2)+x*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(90\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\cos ^{\frac {7}{2}}(x)}+\frac {3}{5} x \sqrt {\cos (x)}\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x/cos(x)^(7/2)+3/5*x*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(92\)

Fricas [F(-2)]

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

integrate(x^2/cos(x)^(3/2)+x^2*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(93\)

Fricas [F(-2)]

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

integrate(x/sec(x)^(3/2)-1/3*x*sec(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(94\)

Fricas [F(-2)]

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

integrate(x/sec(x)^(5/2)-3/5*x/sec(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(95\)

Fricas [F(-2)]

Exception generated. \[ \int \left (\frac {x}{\sec ^{\frac {7}{2}}(x)}-\frac {5}{21} x \sqrt {\sec (x)}\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x/sec(x)^(7/2)-5/21*x*sec(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(96\)

Fricas [F(-2)]

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

integrate(x^2/sec(x)^(3/2)-1/3*x^2*sec(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(97\)

Fricas [F(-2)]

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

integrate(x^3*(a+a*cos(d*x+c))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(143\)

Fricas [F(-2)]

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

integrate(x^2*(a+a*cos(d*x+c))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(144\)

Fricas [F(-2)]

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

integrate(x*(a+a*cos(d*x+c))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(145\)

Fricas [F(-2)]

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

integrate((a+a*cos(d*x+c))^(1/2)/x,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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(147\)

Fricas [F(-2)]

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

integrate((a+a*cos(d*x+c))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(148\)

Fricas [F(-2)]

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

integrate((a+a*cos(d*x+c))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(149\)

Fricas [F(-2)]

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

integrate(x^3*(a+a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(150\)

Fricas [F(-2)]

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

integrate(x^2*(a+a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(151\)

Fricas [F(-2)]

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

integrate(x*(a+a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(152\)

Fricas [F(-2)]

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

integrate((a+a*cos(x))^(1/2)/x,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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(154\)

Fricas [F(-2)]

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

integrate((a+a*cos(x))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(155\)

Fricas [F(-2)]

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

integrate((a+a*cos(x))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(156\)

Fricas [F(-2)]

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

integrate(x^3*(a-a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(157\)

Fricas [F(-2)]

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

integrate(x^2*(a-a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(158\)

Fricas [F(-2)]

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

integrate(x*(a-a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(159\)

Fricas [F(-2)]

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

integrate((a-a*cos(x))^(1/2)/x,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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(161\)

Fricas [F(-2)]

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

integrate((a-a*cos(x))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(162\)

Fricas [F(-2)]

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

integrate((a-a*cos(x))^(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(163\)

Fricas [F(-2)]

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

integrate(x^3*(a+a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(164\)

Fricas [F(-2)]

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

integrate(x^2*(a+a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(165\)

Fricas [F(-2)]

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

integrate(x*(a+a*cos(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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(166\)

Fricas [F(-2)]

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

integrate((a+a*cos(x))^(3/2)/x,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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(167\)

Fricas [F(-2)]

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

integrate((a+a*cos(x))^(3/2)/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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(168\)

Fricas [F(-2)]

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

integrate((a+a*cos(x))^(3/2)/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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(169\)

Fricas [F(-2)]

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

integrate((a+a*cos(d*x+c))^(1/3)/x,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/4_Trig_functions/4.2_Cosine/201_4.2.10

Test file number \(201\)

Integral number in file \(184\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a-b \cos ^5(x)} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(a-b*cos(x)^5),x, algorithm="fricas")
 

Output:

Exception raised: RuntimeError >> no explicit roots found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/210_4.2.7.1

Test file number \(210\)

Integral number in file \(21\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a+b \cos ^5(x)} \, dx=\text {Exception raised: RuntimeError} \] Input:

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

Output:

Exception raised: RuntimeError >> no explicit roots found
 

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/210_4.2.7.1

Test file number \(210\)

Integral number in file \(28\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   fail 
ed of mode Union(SparseUnivariatePolynomial(Expression(Complex(Integer))), 
failed) cannot be coerced to mode SparseUnivariatePolynomial(Expression(Co 
mplex(Int
 

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/211_4.2.7.2

Test file number \(211\)

Integral number in file \(50\)

Fricas [F(-2)]

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

integrate((b*tan(d*x+c)^p)^(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/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number \(214\)

Integral number in file \(46\)

Fricas [F(-2)]

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

integrate((b*tan(d*x+c)^p)^(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/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number \(214\)

Integral number in file \(47\)

Fricas [F(-2)]

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

integrate((b*tan(d*x+c)^p)^(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/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number \(214\)

Integral number in file \(48\)

Fricas [F(-2)]

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

integrate(1/(b*tan(d*x+c)^p)^(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/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number \(214\)

Integral number in file \(49\)

Fricas [F(-2)]

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

integrate(1/(b*tan(d*x+c)^p)^(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/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number \(214\)

Integral number in file \(50\)

Fricas [F(-2)]

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

integrate(1/(b*tan(d*x+c)^p)^(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/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number \(214\)

Integral number in file \(51\)

Fricas [F(-2)]

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

integrate((d*sec(f*x+e))^(3/2)/(a+b*tan(f*x+e)),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/215_4.3.1.2

Test file number \(215\)

Integral number in file \(613\)

Fricas [F(-2)]

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

integrate((d*sec(f*x+e))^(5/2)/(a+b*tan(f*x+e))^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/4_Trig_functions/4.3_Tangent/215_4.3.1.2

Test file number \(215\)

Integral number in file \(619\)

Fricas [F(-2)]

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

integrate(tan(d*x+c)^(1/3)*(a+I*a*tan(d*x+c))^(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/4_Trig_functions/4.3_Tangent/217_4.3.2.1

Test file number \(217\)

Integral number in file \(250\)

Fricas [F(-2)]

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

integrate((b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number \(220\)

Integral number in file \(19\)

Fricas [F(-2)]

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

integrate((b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number \(220\)

Integral number in file \(20\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {b \tan ^n(e+f x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number \(220\)

Integral number in file \(21\)

Fricas [F(-2)]

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

integrate(1/(b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number \(220\)

Integral number in file \(22\)

Fricas [F(-2)]

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

integrate(1/(b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number \(220\)

Integral number in file \(23\)

Fricas [F(-2)]

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

integrate(1/(b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number \(220\)

Integral number in file \(24\)

Fricas [F(-2)]

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

integrate(x^3*(a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(87\)

Fricas [F(-2)]

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

integrate(x^2*(a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(88\)

Fricas [F(-2)]

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

integrate(x*(a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(1/2),x, algorithm="fr 
icas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(89\)

Fricas [F(-2)]

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

integrate((a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(1/2)/x,x, algorithm="fr 
icas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(90\)

Fricas [F(-2)]

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

integrate((a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(91\)

Fricas [F(-2)]

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

integrate((a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(92\)

Fricas [F(-2)]

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

integrate(x^3*(a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(93\)

Fricas [F(-2)]

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

integrate(x^2*(a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(94\)

Fricas [F(-2)]

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

integrate(x*(a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(3/2),x, algorithm="fr 
icas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(95\)

Fricas [F(-2)]

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

integrate((a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(3/2)/x,x, algorithm="fr 
icas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(96\)

Fricas [F(-2)]

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

integrate((a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(3/2)/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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(97\)

Fricas [F(-2)]

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

integrate((a-a*sin(f*x+e))^(1/2)*(c+c*sin(f*x+e))^(3/2)/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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(98\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(g+h x)^3 \sqrt {a-a \sin (e+f x)}}{\sqrt {c+c \sin (e+f x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((h*x+g)^3*(a-a*sin(f*x+e))^(1/2)/(c+c*sin(f*x+e))^(1/2),x, algor 
ithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(99\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(g+h x)^2 \sqrt {a-a \sin (e+f x)}}{\sqrt {c+c \sin (e+f x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((h*x+g)^2*(a-a*sin(f*x+e))^(1/2)/(c+c*sin(f*x+e))^(1/2),x, algor 
ithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(100\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(g+h x) \sqrt {a-a \sin (e+f x)}}{\sqrt {c+c \sin (e+f x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((h*x+g)*(a-a*sin(f*x+e))^(1/2)/(c+c*sin(f*x+e))^(1/2),x, algorit 
hm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(101\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a-a \sin (e+f x)}}{(g+h x) \sqrt {c+c \sin (e+f x)}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a-a*sin(f*x+e))^(1/2)/(h*x+g)/(c+c*sin(f*x+e))^(1/2),x, algorit 
hm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(102\)

Fricas [F(-2)]

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

integrate(x^2*(a-a*sin(f*x+e))^(1/2)/(c+c*sin(f*x+e))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(104\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {\csc (x)} (x \cos (x)-4 \sec (x) \tan (x)) \, dx=\text {Exception raised: TypeError} \] Input:

integrate(csc(x)^(1/2)*(x*cos(x)-4*sec(x)*tan(x)),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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(808\)

Fricas [F(-2)]

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

integrate(x^4/b/(x^3+3*sin(b*x+a))^(1/2)+x^2*cos(b*x+a)/(x^3+3*sin(b*x+a)) 
^(1/2)+4/3*x*(x^3+3*sin(b*x+a))^(1/2)/b,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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(874\)

Fricas [F(-2)]

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

integrate(x^2*cos(b*x+a)/(x^3+3*sin(b*x+a))^(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/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number \(254\)

Integral number in file \(875\)

Fricas [F(-2)]

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

integrate(sin(b*x+a)^3*sin(d*x+c)^(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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(136\)

Fricas [F(-2)]

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

integrate(sin(b*x+a)^2*sin(d*x+c)^(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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(137\)

Fricas [F(-2)]

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

integrate(sin(b*x+a)*sin(d*x+c)^(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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(138\)

Fricas [F(-2)]

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

integrate(cos(d*x+c)^(1/2)*sin(b*x+a)^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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(221\)

Fricas [F(-2)]

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

integrate(cos(d*x+c)^(1/2)*sin(b*x+a)^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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(222\)

Fricas [F(-2)]

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

integrate(cos(d*x+c)^(1/2)*sin(b*x+a),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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(223\)

Fricas [F(-2)]

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

integrate(cos(b*x+a)^3*cos(d*x+c)^(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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(353\)

Fricas [F(-2)]

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

integrate(cos(b*x+a)^2*cos(d*x+c)^(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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(354\)

Fricas [F(-2)]

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

integrate(cos(b*x+a)*cos(d*x+c)^(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/4_Trig_functions/4_Miscellaneous/256_4.2

Test file number \(256\)

Integral number in file \(355\)

Fricas [F(-2)]

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

integrate(x*cos(b*x+a)^(5/2)*sin(b*x+a),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/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(328\)

Fricas [F(-2)]

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

integrate(x*cos(b*x+a)^(3/2)*sin(b*x+a),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/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(329\)

Fricas [F(-2)]

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

integrate(x*cos(b*x+a)^(1/2)*sin(b*x+a),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/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(330\)

Fricas [F(-2)]

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

integrate(x*sin(b*x+a)/cos(b*x+a)^(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/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(331\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(332\)

Fricas [F(-2)]

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

integrate(x*sin(b*x+a)/cos(b*x+a)^(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/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(333\)

Fricas [F(-2)]

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

integrate(x*sin(b*x+a)/cos(b*x+a)^(7/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(334\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x \sin (a+b x)}{\cos ^{\frac {9}{2}}(a+b x)} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x*sin(b*x+a)/cos(b*x+a)^(9/2),x, algorithm="fricas")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/257_4.3

Test file number \(257\)

Integral number in file \(335\)