Integrals 601 to 700

Fricas [F(-2)]

Exception generated. 1(ccosm(a+bx))3/2dx=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. 1(ccosm(a+bx))5/2dx=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. xcos(a+bx)dx=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. cos(a+bx)xdx=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. xcos32(a+bx)dx=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. cos32(a+bx)xdx=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. (x3cos(a+bx)+xcos32(a+bx))dx=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. cos32(x)x3dx=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. xcos(a+bx)dx=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. 1xcos(a+bx)dx=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. xcos32(a+bx)dx=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. 1xcos32(a+bx)dx=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. (xcos32(a+bx)+xcos(a+bx))dx=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. (xcos32(x)+xcos(x))dx=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. (xcos72(x)+35xcos(x))dx=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. (x2cos32(x)+x2cos(x))dx=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. (xsec32(x)13xsec(x))dx=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. (xsec52(x)3x5sec(x))dx=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. (xsec72(x)521xsec(x))dx=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. (x2sec32(x)13x2sec(x))dx=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. x3a+acos(c+dx)dx=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. x2a+acos(c+dx)dx=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. xa+acos(c+dx)dx=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. a+acos(c+dx)xdx=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. a+acos(c+dx)x2dx=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. a+acos(c+dx)x3dx=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. x3a+acos(x)dx=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. x2a+acos(x)dx=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. xa+acos(x)dx=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. a+acos(x)xdx=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. a+acos(x)x2dx=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. a+acos(x)x3dx=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. x3aacos(x)dx=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. x2aacos(x)dx=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. xaacos(x)dx=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. aacos(x)xdx=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. aacos(x)x2dx=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. aacos(x)x3dx=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. x3(a+acos(x))3/2dx=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. x2(a+acos(x))3/2dx=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. x(a+acos(x))3/2dx=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. (a+acos(x))3/2xdx=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. (a+acos(x))3/2x2dx=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. (a+acos(x))3/2x3dx=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. a+acos(c+dx)3xdx=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. 1abcos5(x)dx=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. 1a+bcos5(x)dx=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. tan(x)a+bcos3(x)dx=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. (btanp(c+dx))5/2dx=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. (btanp(c+dx))3/2dx=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. btanp(c+dx)dx=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. 1btanp(c+dx)dx=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. 1(btanp(c+dx))3/2dx=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. 1(btanp(c+dx))5/2dx=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. (dsec(e+fx))3/2a+btan(e+fx)dx=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. (dsec(e+fx))5/2(a+btan(e+fx))2dx=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. tan(c+dx)3a+iatan(c+dx)dx=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. (btann(e+fx))5/2dx=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. (btann(e+fx))3/2dx=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. btann(e+fx)dx=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. 1btann(e+fx)dx=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. 1(btann(e+fx))3/2dx=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. 1(btann(e+fx))5/2dx=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. x3aasin(e+fx)c+csin(e+fx)dx=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. x2aasin(e+fx)c+csin(e+fx)dx=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. xaasin(e+fx)c+csin(e+fx)dx=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. aasin(e+fx)c+csin(e+fx)xdx=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. aasin(e+fx)c+csin(e+fx)x2dx=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. aasin(e+fx)c+csin(e+fx)x3dx=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. x3aasin(e+fx)(c+csin(e+fx))3/2dx=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. x2aasin(e+fx)(c+csin(e+fx))3/2dx=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. xaasin(e+fx)(c+csin(e+fx))3/2dx=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. aasin(e+fx)(c+csin(e+fx))3/2xdx=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. aasin(e+fx)(c+csin(e+fx))3/2x2dx=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. aasin(e+fx)(c+csin(e+fx))3/2x3dx=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. (g+hx)3aasin(e+fx)c+csin(e+fx)dx=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. (g+hx)2aasin(e+fx)c+csin(e+fx)dx=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. (g+hx)aasin(e+fx)c+csin(e+fx)dx=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. aasin(e+fx)(g+hx)c+csin(e+fx)dx=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. x2aasin(e+fx)(c+csin(e+fx))3/2dx=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. csc(x)(xcos(x)4sec(x)tan(x))dx=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. (x4bx3+3sin(a+bx)+x2cos(a+bx)x3+3sin(a+bx)+4xx3+3sin(a+bx)3b)dx=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. x2cos(a+bx)x3+3sin(a+bx)dx=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. sin3(a+bx)sin(c+dx)dx=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. sin2(a+bx)sin(c+dx)dx=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. sin(a+bx)sin(c+dx)dx=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. cos(c+dx)sin3(a+bx)dx=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. cos(c+dx)sin2(a+bx)dx=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. cos(c+dx)sin(a+bx)dx=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. cos3(a+bx)cos(c+dx)dx=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. cos2(a+bx)cos(c+dx)dx=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. cos(a+bx)cos(c+dx)dx=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. xcos52(a+bx)sin(a+bx)dx=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. xcos32(a+bx)sin(a+bx)dx=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. xcos(a+bx)sin(a+bx)dx=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. xsin(a+bx)cos(a+bx)dx=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. xsin(a+bx)cos32(a+bx)dx=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. xsin(a+bx)cos52(a+bx)dx=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. xsin(a+bx)cos72(a+bx)dx=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. xsin(a+bx)cos92(a+bx)dx=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