1,1,49,0,0.761858," ","integrate(x^2*sin(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{b n x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 3 \, x^{3} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} + 9}"," ",0,"-(b*n*x^3*cos(b*n*log(x) + b*log(c) + a) - 3*x^3*sin(b*n*log(x) + b*log(c) + a))/(b^2*n^2 + 9)","A",0
2,1,49,0,0.844068," ","integrate(x*sin(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{b n x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 2 \, x^{2} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} + 4}"," ",0,"-(b*n*x^2*cos(b*n*log(x) + b*log(c) + a) - 2*x^2*sin(b*n*log(x) + b*log(c) + a))/(b^2*n^2 + 4)","A",0
3,1,45,0,0.905105," ","integrate(sin(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{b n x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - x \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} + 1}"," ",0,"-(b*n*x*cos(b*n*log(x) + b*log(c) + a) - x*sin(b*n*log(x) + b*log(c) + a))/(b^2*n^2 + 1)","A",0
4,1,20,0,0.594753," ","integrate(sin(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","-\frac{\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n}"," ",0,"-cos(b*n*log(x) + b*log(c) + a)/(b*n)","A",0
5,1,44,0,0.532492," ","integrate(sin(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","-\frac{b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{{\left(b^{2} n^{2} + 1\right)} x}"," ",0,"-(b*n*cos(b*n*log(x) + b*log(c) + a) + sin(b*n*log(x) + b*log(c) + a))/((b^2*n^2 + 1)*x)","A",0
6,1,46,0,0.759828," ","integrate(sin(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","-\frac{b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2 \, \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{{\left(b^{2} n^{2} + 4\right)} x^{2}}"," ",0,"-(b*n*cos(b*n*log(x) + b*log(c) + a) + 2*sin(b*n*log(x) + b*log(c) + a))/((b^2*n^2 + 4)*x^2)","A",0
7,1,80,0,0.813056," ","integrate(x^2*sin(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","-\frac{6 \, b n x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 9 \, x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(2 \, b^{2} n^{2} + 9\right)} x^{3}}{3 \, {\left(4 \, b^{2} n^{2} + 9\right)}}"," ",0,"-1/3*(6*b*n*x^3*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + 9*x^3*cos(b*n*log(x) + b*log(c) + a)^2 - (2*b^2*n^2 + 9)*x^3)/(4*b^2*n^2 + 9)","A",0
8,1,78,0,0.509069," ","integrate(x*sin(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","-\frac{2 \, b n x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2 \, x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(b^{2} n^{2} + 2\right)} x^{2}}{4 \, {\left(b^{2} n^{2} + 1\right)}}"," ",0,"-1/4*(2*b*n*x^2*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + 2*x^2*cos(b*n*log(x) + b*log(c) + a)^2 - (b^2*n^2 + 2)*x^2)/(b^2*n^2 + 1)","A",0
9,1,73,0,0.433536," ","integrate(sin(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","-\frac{2 \, b n x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(2 \, b^{2} n^{2} + 1\right)} x}{4 \, b^{2} n^{2} + 1}"," ",0,"-(2*b*n*x*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + x*cos(b*n*log(x) + b*log(c) + a)^2 - (2*b^2*n^2 + 1)*x)/(4*b^2*n^2 + 1)","A",0
10,1,40,0,0.657841," ","integrate(sin(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{b n \log\left(x\right) - \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{2 \, b n}"," ",0,"1/2*(b*n*log(x) - cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
11,1,71,0,0.672747," ","integrate(sin(a+b*log(c*x^n))^2/x^2,x, algorithm=""fricas"")","-\frac{2 \, b^{2} n^{2} + 2 \, b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1}{{\left(4 \, b^{2} n^{2} + 1\right)} x}"," ",0,"-(2*b^2*n^2 + 2*b*n*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) - cos(b*n*log(x) + b*log(c) + a)^2 + 1)/((4*b^2*n^2 + 1)*x)","A",0
12,1,69,0,0.525728," ","integrate(sin(a+b*log(c*x^n))^2/x^3,x, algorithm=""fricas"")","-\frac{b^{2} n^{2} + 2 \, b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 2 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2}{4 \, {\left(b^{2} n^{2} + 1\right)} x^{2}}"," ",0,"-1/4*(b^2*n^2 + 2*b*n*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) - 2*cos(b*n*log(x) + b*log(c) + a)^2 + 2)/((b^2*n^2 + 1)*x^2)","A",0
13,1,138,0,0.459522," ","integrate(x^2*sin(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{{\left(b^{3} n^{3} + 9 \, b n\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, {\left(b^{3} n^{3} + 3 \, b n\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - {\left({\left(b^{2} n^{2} + 9\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(7 \, b^{2} n^{2} + 9\right)} x^{3}\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{3 \, {\left(b^{4} n^{4} + 10 \, b^{2} n^{2} + 9\right)}}"," ",0,"1/3*((b^3*n^3 + 9*b*n)*x^3*cos(b*n*log(x) + b*log(c) + a)^3 - 3*(b^3*n^3 + 3*b*n)*x^3*cos(b*n*log(x) + b*log(c) + a) - ((b^2*n^2 + 9)*x^3*cos(b*n*log(x) + b*log(c) + a)^2 - (7*b^2*n^2 + 9)*x^3)*sin(b*n*log(x) + b*log(c) + a))/(b^4*n^4 + 10*b^2*n^2 + 9)","A",0
14,1,140,0,0.643783," ","integrate(x*sin(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{3} n^{3} + 4 \, b n\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, {\left(3 \, b^{3} n^{3} + 4 \, b n\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 2 \, {\left({\left(b^{2} n^{2} + 4\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(7 \, b^{2} n^{2} + 4\right)} x^{2}\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{9 \, b^{4} n^{4} + 40 \, b^{2} n^{2} + 16}"," ",0,"(3*(b^3*n^3 + 4*b*n)*x^2*cos(b*n*log(x) + b*log(c) + a)^3 - 3*(3*b^3*n^3 + 4*b*n)*x^2*cos(b*n*log(x) + b*log(c) + a) - 2*((b^2*n^2 + 4)*x^2*cos(b*n*log(x) + b*log(c) + a)^2 - (7*b^2*n^2 + 4)*x^2)*sin(b*n*log(x) + b*log(c) + a))/(9*b^4*n^4 + 40*b^2*n^2 + 16)","A",0
15,1,130,0,0.521658," ","integrate(sin(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{3} n^{3} + b n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, {\left(3 \, b^{3} n^{3} + b n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - {\left({\left(b^{2} n^{2} + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - {\left(7 \, b^{2} n^{2} + 1\right)} x\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{9 \, b^{4} n^{4} + 10 \, b^{2} n^{2} + 1}"," ",0,"(3*(b^3*n^3 + b*n)*x*cos(b*n*log(x) + b*log(c) + a)^3 - 3*(3*b^3*n^3 + b*n)*x*cos(b*n*log(x) + b*log(c) + a) - ((b^2*n^2 + 1)*x*cos(b*n*log(x) + b*log(c) + a)^2 - (7*b^2*n^2 + 1)*x)*sin(b*n*log(x) + b*log(c) + a))/(9*b^4*n^4 + 10*b^2*n^2 + 1)","A",0
16,1,37,0,0.624457," ","integrate(sin(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","\frac{\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{3 \, b n}"," ",0,"1/3*(cos(b*n*log(x) + b*log(c) + a)^3 - 3*cos(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
17,1,127,0,0.914936," ","integrate(sin(a+b*log(c*x^n))^3/x^2,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{3} n^{3} + b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, {\left(3 \, b^{3} n^{3} + b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - {\left(7 \, b^{2} n^{2} - {\left(b^{2} n^{2} + 1\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{{\left(9 \, b^{4} n^{4} + 10 \, b^{2} n^{2} + 1\right)} x}"," ",0,"(3*(b^3*n^3 + b*n)*cos(b*n*log(x) + b*log(c) + a)^3 - 3*(3*b^3*n^3 + b*n)*cos(b*n*log(x) + b*log(c) + a) - (7*b^2*n^2 - (b^2*n^2 + 1)*cos(b*n*log(x) + b*log(c) + a)^2 + 1)*sin(b*n*log(x) + b*log(c) + a))/((9*b^4*n^4 + 10*b^2*n^2 + 1)*x)","A",0
18,1,129,0,0.697536," ","integrate(sin(a+b*log(c*x^n))^3/x^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{3} n^{3} + 4 \, b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, {\left(3 \, b^{3} n^{3} + 4 \, b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 2 \, {\left(7 \, b^{2} n^{2} - {\left(b^{2} n^{2} + 4\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{{\left(9 \, b^{4} n^{4} + 40 \, b^{2} n^{2} + 16\right)} x^{2}}"," ",0,"(3*(b^3*n^3 + 4*b*n)*cos(b*n*log(x) + b*log(c) + a)^3 - 3*(3*b^3*n^3 + 4*b*n)*cos(b*n*log(x) + b*log(c) + a) - 2*(7*b^2*n^2 - (b^2*n^2 + 4)*cos(b*n*log(x) + b*log(c) + a)^2 + 4)*sin(b*n*log(x) + b*log(c) + a))/((9*b^4*n^4 + 40*b^2*n^2 + 16)*x^2)","A",0
19,1,178,0,0.499177," ","integrate(x^2*sin(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, b^{2} n^{2} + 9\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 6 \, {\left(10 \, b^{2} n^{2} + 9\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(8 \, b^{4} n^{4} + 48 \, b^{2} n^{2} + 27\right)} x^{3} + 4 \, {\left({\left(4 \, b^{3} n^{3} + 9 \, b n\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(10 \, b^{3} n^{3} + 9 \, b n\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{64 \, b^{4} n^{4} + 180 \, b^{2} n^{2} + 81}"," ",0,"(3*(4*b^2*n^2 + 9)*x^3*cos(b*n*log(x) + b*log(c) + a)^4 - 6*(10*b^2*n^2 + 9)*x^3*cos(b*n*log(x) + b*log(c) + a)^2 + (8*b^4*n^4 + 48*b^2*n^2 + 27)*x^3 + 4*((4*b^3*n^3 + 9*b*n)*x^3*cos(b*n*log(x) + b*log(c) + a)^3 - (10*b^3*n^3 + 9*b*n)*x^3*cos(b*n*log(x) + b*log(c) + a))*sin(b*n*log(x) + b*log(c) + a))/(64*b^4*n^4 + 180*b^2*n^2 + 81)","A",0
20,1,177,0,0.563933," ","integrate(x*sin(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} n^{2} + 1\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 2 \, {\left(5 \, b^{2} n^{2} + 2\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(3 \, b^{4} n^{4} + 8 \, b^{2} n^{2} + 2\right)} x^{2} + 2 \, {\left(2 \, {\left(b^{3} n^{3} + b n\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(5 \, b^{3} n^{3} + 2 \, b n\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{4 \, {\left(4 \, b^{4} n^{4} + 5 \, b^{2} n^{2} + 1\right)}}"," ",0,"1/4*(2*(b^2*n^2 + 1)*x^2*cos(b*n*log(x) + b*log(c) + a)^4 - 2*(5*b^2*n^2 + 2)*x^2*cos(b*n*log(x) + b*log(c) + a)^2 + (3*b^4*n^4 + 8*b^2*n^2 + 2)*x^2 + 2*(2*(b^3*n^3 + b*n)*x^2*cos(b*n*log(x) + b*log(c) + a)^3 - (5*b^3*n^3 + 2*b*n)*x^2*cos(b*n*log(x) + b*log(c) + a))*sin(b*n*log(x) + b*log(c) + a))/(4*b^4*n^4 + 5*b^2*n^2 + 1)","A",0
21,1,165,0,0.456096," ","integrate(sin(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","\frac{{\left(4 \, b^{2} n^{2} + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 2 \, {\left(10 \, b^{2} n^{2} + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(24 \, b^{4} n^{4} + 16 \, b^{2} n^{2} + 1\right)} x + 4 \, {\left({\left(4 \, b^{3} n^{3} + b n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(10 \, b^{3} n^{3} + b n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{64 \, b^{4} n^{4} + 20 \, b^{2} n^{2} + 1}"," ",0,"((4*b^2*n^2 + 1)*x*cos(b*n*log(x) + b*log(c) + a)^4 - 2*(10*b^2*n^2 + 1)*x*cos(b*n*log(x) + b*log(c) + a)^2 + (24*b^4*n^4 + 16*b^2*n^2 + 1)*x + 4*((4*b^3*n^3 + b*n)*x*cos(b*n*log(x) + b*log(c) + a)^3 - (10*b^3*n^3 + b*n)*x*cos(b*n*log(x) + b*log(c) + a))*sin(b*n*log(x) + b*log(c) + a))/(64*b^4*n^4 + 20*b^2*n^2 + 1)","A",0
22,1,59,0,0.512362," ","integrate(sin(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{3 \, b n \log\left(x\right) + {\left(2 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 5 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{8 \, b n}"," ",0,"1/8*(3*b*n*log(x) + (2*cos(b*n*log(x) + b*log(c) + a)^3 - 5*cos(b*n*log(x) + b*log(c) + a))*sin(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
23,1,162,0,0.572781," ","integrate(sin(a+b*log(c*x^n))^4/x^2,x, algorithm=""fricas"")","-\frac{24 \, b^{4} n^{4} + {\left(4 \, b^{2} n^{2} + 1\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 16 \, b^{2} n^{2} - 2 \, {\left(10 \, b^{2} n^{2} + 1\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 4 \, {\left({\left(4 \, b^{3} n^{3} + b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(10 \, b^{3} n^{3} + b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1}{{\left(64 \, b^{4} n^{4} + 20 \, b^{2} n^{2} + 1\right)} x}"," ",0,"-(24*b^4*n^4 + (4*b^2*n^2 + 1)*cos(b*n*log(x) + b*log(c) + a)^4 + 16*b^2*n^2 - 2*(10*b^2*n^2 + 1)*cos(b*n*log(x) + b*log(c) + a)^2 - 4*((4*b^3*n^3 + b*n)*cos(b*n*log(x) + b*log(c) + a)^3 - (10*b^3*n^3 + b*n)*cos(b*n*log(x) + b*log(c) + a))*sin(b*n*log(x) + b*log(c) + a) + 1)/((64*b^4*n^4 + 20*b^2*n^2 + 1)*x)","A",0
24,1,163,0,0.629386," ","integrate(sin(a+b*log(c*x^n))^4/x^3,x, algorithm=""fricas"")","-\frac{3 \, b^{4} n^{4} + 2 \, {\left(b^{2} n^{2} + 1\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, b^{2} n^{2} - 2 \, {\left(5 \, b^{2} n^{2} + 2\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, {\left(2 \, {\left(b^{3} n^{3} + b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(5 \, b^{3} n^{3} + 2 \, b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2}{4 \, {\left(4 \, b^{4} n^{4} + 5 \, b^{2} n^{2} + 1\right)} x^{2}}"," ",0,"-1/4*(3*b^4*n^4 + 2*(b^2*n^2 + 1)*cos(b*n*log(x) + b*log(c) + a)^4 + 8*b^2*n^2 - 2*(5*b^2*n^2 + 2)*cos(b*n*log(x) + b*log(c) + a)^2 - 2*(2*(b^3*n^3 + b*n)*cos(b*n*log(x) + b*log(c) + a)^3 - (5*b^3*n^3 + 2*b*n)*cos(b*n*log(x) + b*log(c) + a))*sin(b*n*log(x) + b*log(c) + a) + 2)/((4*b^4*n^4 + 5*b^2*n^2 + 1)*x^2)","A",0
25,1,33,0,0.785130," ","integrate(sin(log(b*x+a)),x, algorithm=""fricas"")","-\frac{{\left(b x + a\right)} \cos\left(\log\left(b x + a\right)\right) - {\left(b x + a\right)} \sin\left(\log\left(b x + a\right)\right)}{2 \, b}"," ",0,"-1/2*((b*x + a)*cos(log(b*x + a)) - (b*x + a)*sin(log(b*x + a)))/b","A",0
26,1,62,0,0.757787," ","integrate(x^m*sin(a+log(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x, algorithm=""fricas"")","\frac{{\left(i \, x^{2} x^{2 \, m} + {\left(-2 i \, m - 2 i\right)} e^{\left(\frac{2 \, {\left(i \, a n - {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{i \, a n - {\left(m + 1\right)} \log\left(c\right)}{n}\right)}}{4 \, {\left(m + 1\right)}}"," ",0,"1/4*(I*x^2*x^(2*m) + (-2*I*m - 2*I)*e^(2*(I*a*n - (m + 1)*log(c))/n)*log(x))*e^(-(I*a*n - (m + 1)*log(c))/n)/(m + 1)","C",0
27,1,42,0,0.525159," ","integrate(x^2*sin(a+3*log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(i \, x^{6} - 6 i \, e^{\left(\frac{2 \, {\left(i \, a n - 3 \, \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{i \, a n - 3 \, \log\left(c\right)}{n}\right)}"," ",0,"1/12*(I*x^6 - 6*I*e^(2*(I*a*n - 3*log(c))/n)*log(x))*e^(-(I*a*n - 3*log(c))/n)","C",0
28,1,42,0,0.506948," ","integrate(x*sin(a+2*log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(i \, x^{4} - 4 i \, e^{\left(\frac{2 \, {\left(i \, a n - 2 \, \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{i \, a n - 2 \, \log\left(c\right)}{n}\right)}"," ",0,"1/8*(I*x^4 - 4*I*e^(2*(I*a*n - 2*log(c))/n)*log(x))*e^(-(I*a*n - 2*log(c))/n)","C",0
29,1,42,0,0.565526," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(i \, x^{2} - 2 i \, e^{\left(\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{i \, a n - \log\left(c\right)}{n}\right)}"," ",0,"1/4*(I*x^2 - 2*I*e^(2*(I*a*n - log(c))/n)*log(x))*e^(-(I*a*n - log(c))/n)","C",0
30,1,5,0,0.403718," ","integrate(sin(a)/x,x, algorithm=""fricas"")","\log\left(x\right) \sin\left(a\right)"," ",0,"log(x)*sin(a)","A",0
31,1,45,0,0.430936," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2))/x^2,x, algorithm=""fricas"")","\frac{{\left(2 i \, x^{2} \log\left(x\right) + i \, e^{\left(\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)}\right)} e^{\left(-\frac{i \, a n - \log\left(c\right)}{n}\right)}}{4 \, x^{2}}"," ",0,"1/4*(2*I*x^2*log(x) + I*e^(2*(I*a*n - log(c))/n))*e^(-(I*a*n - log(c))/n)/x^2","C",0
32,1,45,0,0.471383," ","integrate(sin(a+2*log(c*x^n)*(-1/n^2)^(1/2))/x^3,x, algorithm=""fricas"")","\frac{{\left(4 i \, x^{4} \log\left(x\right) + i \, e^{\left(\frac{2 \, {\left(i \, a n - 2 \, \log\left(c\right)\right)}}{n}\right)}\right)} e^{\left(-\frac{i \, a n - 2 \, \log\left(c\right)}{n}\right)}}{8 \, x^{4}}"," ",0,"1/8*(4*I*x^4*log(x) + I*e^(2*(I*a*n - 2*log(c))/n))*e^(-(I*a*n - 2*log(c))/n)/x^4","C",0
33,1,107,0,0.429610," ","integrate(x^m*sin(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, {\left(m + 1\right)} e^{\left(-\frac{2 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} \log\left(x\right) - 4 \, e^{\left(-\frac{{\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)}{n}\right)} + 1\right)} e^{\left(\frac{2 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n} + \frac{2 i \, a n - {\left(m + 1\right)} \log\left(c\right)}{n}\right)}}{8 \, {\left(m + 1\right)}}"," ",0,"-1/8*(2*(m + 1)*e^(-2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n)*log(x) - 4*e^(-((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) + 1)*e^(2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n + (2*I*a*n - (m + 1)*log(c))/n)/(m + 1)","C",0
34,1,59,0,0.480526," ","integrate(x^2*sin(a+3/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""fricas"")","-\frac{1}{24} \, {\left(x^{6} - 4 \, x^{3} e^{\left(\frac{2 i \, a n - 3 \, \log\left(c\right)}{n}\right)} + 6 \, e^{\left(\frac{2 \, {\left(2 i \, a n - 3 \, \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{2 i \, a n - 3 \, \log\left(c\right)}{n}\right)}"," ",0,"-1/24*(x^6 - 4*x^3*e^((2*I*a*n - 3*log(c))/n) + 6*e^(2*(2*I*a*n - 3*log(c))/n)*log(x))*e^(-(2*I*a*n - 3*log(c))/n)","C",0
35,1,60,0,0.539168," ","integrate(x*sin(a+log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(x^{4} - 4 \, x^{2} e^{\left(\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} + 4 \, e^{\left(\frac{4 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)}"," ",0,"-1/16*(x^4 - 4*x^2*e^(2*(I*a*n - log(c))/n) + 4*e^(4*(I*a*n - log(c))/n)*log(x))*e^(-2*(I*a*n - log(c))/n)","C",0
36,1,57,0,0.428076," ","integrate(sin(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(x^{2} - 4 \, x e^{\left(\frac{2 i \, a n - \log\left(c\right)}{n}\right)} + 2 \, e^{\left(\frac{2 \, {\left(2 i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{2 i \, a n - \log\left(c\right)}{n}\right)}"," ",0,"-1/8*(x^2 - 4*x*e^((2*I*a*n - log(c))/n) + 2*e^(2*(2*I*a*n - log(c))/n)*log(x))*e^(-(2*I*a*n - log(c))/n)","C",0
37,1,10,0,0.401307," ","integrate(sin(a)^2/x,x, algorithm=""fricas"")","-{\left(\cos\left(a\right)^{2} - 1\right)} \log\left(x\right)"," ",0,"-(cos(a)^2 - 1)*log(x)","A",0
38,1,62,0,0.428802," ","integrate(sin(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2/x^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{2} \log\left(x\right) + 4 \, x e^{\left(\frac{2 i \, a n - \log\left(c\right)}{n}\right)} - e^{\left(\frac{2 \, {\left(2 i \, a n - \log\left(c\right)\right)}}{n}\right)}\right)} e^{\left(-\frac{2 i \, a n - \log\left(c\right)}{n}\right)}}{8 \, x^{2}}"," ",0,"-1/8*(2*x^2*log(x) + 4*x*e^((2*I*a*n - log(c))/n) - e^(2*(2*I*a*n - log(c))/n))*e^(-(2*I*a*n - log(c))/n)/x^2","C",0
39,1,65,0,0.432482," ","integrate(sin(a+log(c*x^n)*(-1/n^2)^(1/2))^2/x^3,x, algorithm=""fricas"")","-\frac{{\left(4 \, x^{4} \log\left(x\right) + 4 \, x^{2} e^{\left(\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} - e^{\left(\frac{4 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)}\right)} e^{\left(-\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)}}{16 \, x^{4}}"," ",0,"-1/16*(4*x^4*log(x) + 4*x^2*e^(2*(I*a*n - log(c))/n) - e^(4*(I*a*n - log(c))/n))*e^(-2*(I*a*n - log(c))/n)/x^4","C",0
40,1,128,0,0.444479," ","integrate(x^m*sin(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{{\left(5 i \, e^{\left(-\frac{{\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)}{n}\right)} - 15 i \, e^{\left(-\frac{2 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} - 5 i \, e^{\left(-\frac{3 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} - i\right)} e^{\left(\frac{5 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{2 \, n} + \frac{2 i \, a n - {\left(m + 1\right)} \log\left(c\right)}{n}\right)}}{20 \, {\left(m + 1\right)}}"," ",0,"1/20*(5*I*e^(-((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) - 15*I*e^(-2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) - 5*I*e^(-3*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) - I)*e^(5/2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n + (2*I*a*n - (m + 1)*log(c))/n)/(m + 1)","C",0
41,1,82,0,0.496336," ","integrate(x^2*sin(a+log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{1}{96} \, {\left(-2 i \, x^{6} + 9 i \, x^{4} e^{\left(\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} - 18 i \, x^{2} e^{\left(\frac{4 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} + 12 i \, e^{\left(\frac{6 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{3 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)}"," ",0,"1/96*(-2*I*x^6 + 9*I*x^4*e^(2*(I*a*n - log(c))/n) - 18*I*x^2*e^(4*(I*a*n - log(c))/n) + 12*I*e^(6*(I*a*n - log(c))/n)*log(x))*e^(-3*(I*a*n - log(c))/n)","C",0
42,1,84,0,0.553241," ","integrate(x*sin(a+2/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{1}{64} \, {\left(-2 i \, x^{4} + 9 i \, x^{\frac{8}{3}} e^{\left(\frac{2 \, {\left(3 i \, a n - 2 \, \log\left(c\right)\right)}}{3 \, n}\right)} - 18 i \, x^{\frac{4}{3}} e^{\left(\frac{4 \, {\left(3 i \, a n - 2 \, \log\left(c\right)\right)}}{3 \, n}\right)} + 24 i \, e^{\left(\frac{2 \, {\left(3 i \, a n - 2 \, \log\left(c\right)\right)}}{n}\right)} \log\left(x^{\frac{1}{3}}\right)\right)} e^{\left(-\frac{3 i \, a n - 2 \, \log\left(c\right)}{n}\right)}"," ",0,"1/64*(-2*I*x^4 + 9*I*x^(8/3)*e^(2/3*(3*I*a*n - 2*log(c))/n) - 18*I*x^(4/3)*e^(4/3*(3*I*a*n - 2*log(c))/n) + 24*I*e^(2*(3*I*a*n - 2*log(c))/n)*log(x^(1/3)))*e^(-(3*I*a*n - 2*log(c))/n)","C",0
43,1,84,0,0.463421," ","integrate(sin(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{1}{32} \, {\left(9 i \, x^{\frac{4}{3}} e^{\left(\frac{2 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{3 \, n}\right)} - 2 i \, x^{2} + 12 i \, e^{\left(\frac{2 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x^{\frac{1}{3}}\right) - 18 i \, x^{\frac{2}{3}} e^{\left(\frac{4 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{3 \, n}\right)}\right)} e^{\left(-\frac{3 i \, a n - \log\left(c\right)}{n}\right)}"," ",0,"1/32*(9*I*x^(4/3)*e^(2/3*(3*I*a*n - log(c))/n) - 2*I*x^2 + 12*I*e^(2*(3*I*a*n - log(c))/n)*log(x^(1/3)) - 18*I*x^(2/3)*e^(4/3*(3*I*a*n - log(c))/n))*e^(-(3*I*a*n - log(c))/n)","C",0
44,1,12,0,0.389351," ","integrate(sin(a)^3/x,x, algorithm=""fricas"")","-{\left(\cos\left(a\right)^{2} - 1\right)} \log\left(x\right) \sin\left(a\right)"," ",0,"-(cos(a)^2 - 1)*log(x)*sin(a)","A",0
45,1,87,0,0.449107," ","integrate(sin(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3/x^2,x, algorithm=""fricas"")","\frac{{\left(-12 i \, x^{2} \log\left(x^{\frac{1}{3}}\right) - 18 i \, x^{\frac{4}{3}} e^{\left(\frac{2 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{3 \, n}\right)} + 9 i \, x^{\frac{2}{3}} e^{\left(\frac{4 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{3 \, n}\right)} - 2 i \, e^{\left(\frac{2 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{n}\right)}\right)} e^{\left(-\frac{3 i \, a n - \log\left(c\right)}{n}\right)}}{32 \, x^{2}}"," ",0,"1/32*(-12*I*x^2*log(x^(1/3)) - 18*I*x^(4/3)*e^(2/3*(3*I*a*n - log(c))/n) + 9*I*x^(2/3)*e^(4/3*(3*I*a*n - log(c))/n) - 2*I*e^(2*(3*I*a*n - log(c))/n))*e^(-(3*I*a*n - log(c))/n)/x^2","C",0
46,1,87,0,0.450373," ","integrate(sin(a+2/3*log(c*x^n)*(-1/n^2)^(1/2))^3/x^3,x, algorithm=""fricas"")","\frac{{\left(-24 i \, x^{4} \log\left(x^{\frac{1}{3}}\right) - 18 i \, x^{\frac{8}{3}} e^{\left(\frac{2 \, {\left(3 i \, a n - 2 \, \log\left(c\right)\right)}}{3 \, n}\right)} + 9 i \, x^{\frac{4}{3}} e^{\left(\frac{4 \, {\left(3 i \, a n - 2 \, \log\left(c\right)\right)}}{3 \, n}\right)} - 2 i \, e^{\left(\frac{2 \, {\left(3 i \, a n - 2 \, \log\left(c\right)\right)}}{n}\right)}\right)} e^{\left(-\frac{3 i \, a n - 2 \, \log\left(c\right)}{n}\right)}}{64 \, x^{4}}"," ",0,"1/64*(-24*I*x^4*log(x^(1/3)) - 18*I*x^(8/3)*e^(2/3*(3*I*a*n - 2*log(c))/n) + 9*I*x^(4/3)*e^(4/3*(3*I*a*n - 2*log(c))/n) - 2*I*e^(2*(3*I*a*n - 2*log(c))/n))*e^(-(3*I*a*n - 2*log(c))/n)/x^4","C",0
47,1,50,0,0.442175," ","integrate(x^m*sin(a+1/2*log(c*x^2)*(-(1+m)^2)^(1/2)),x, algorithm=""fricas"")","\frac{{\left(i \, x^{2} x^{2 \, m} + {\left(-2 i \, m - 2 i\right)} e^{\left(-{\left(m + 1\right)} \log\left(c\right) + 2 i \, a\right)} \log\left(x\right)\right)} e^{\left(\frac{1}{2} \, {\left(m + 1\right)} \log\left(c\right) - i \, a\right)}}{4 \, {\left(m + 1\right)}}"," ",0,"1/4*(I*x^2*x^(2*m) + (-2*I*m - 2*I)*e^(-(m + 1)*log(c) + 2*I*a)*log(x))*e^(1/2*(m + 1)*log(c) - I*a)/(m + 1)","C",0
48,1,24,0,0.440059," ","integrate(sin(a+1/2*I*log(c*x^2)),x, algorithm=""fricas"")","\frac{{\left(i \, c x^{2} - 2 i \, e^{\left(2 i \, a\right)} \log\left(x\right)\right)} e^{\left(-i \, a\right)}}{4 \, \sqrt{c}}"," ",0,"1/4*(I*c*x^2 - 2*I*e^(2*I*a)*log(x))*e^(-I*a)/sqrt(c)","A",0
49,1,75,0,0.442974," ","integrate(x^m*sin(a+1/4*log(c*x^2)*(-(1+m)^2)^(1/2))^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, {\left(m + 1\right)} e^{\left(-{\left(m + 1\right)} \log\left(c\right) - 2 \, {\left(m + 1\right)} \log\left(x\right) + 4 i \, a\right)} \log\left(x\right) - 4 \, e^{\left(-\frac{1}{2} \, {\left(m + 1\right)} \log\left(c\right) - {\left(m + 1\right)} \log\left(x\right) + 2 i \, a\right)} + 1\right)} e^{\left(\frac{1}{2} \, {\left(m + 1\right)} \log\left(c\right) + 2 \, {\left(m + 1\right)} \log\left(x\right) - 2 i \, a\right)}}{8 \, {\left(m + 1\right)}}"," ",0,"-1/8*(2*(m + 1)*e^(-(m + 1)*log(c) - 2*(m + 1)*log(x) + 4*I*a)*log(x) - 4*e^(-1/2*(m + 1)*log(c) - (m + 1)*log(x) + 2*I*a) + 1)*e^(1/2*(m + 1)*log(c) + 2*(m + 1)*log(x) - 2*I*a)/(m + 1)","C",0
50,1,145,0,0.831282," ","integrate(sin(a+1/4*I*log(c*x^2))^2,x, algorithm=""fricas"")","\frac{{\left(4 \, x^{2} e^{\left(2 i \, a\right)} - \frac{x e^{\left(4 i \, a\right)} \log\left(\frac{{\left(\sqrt{c x^{2}} {\left(x^{2} + 1\right)} e^{\left(2 i \, a\right)} + \frac{{\left(c x^{3} - c x\right)} e^{\left(2 i \, a\right)}}{\sqrt{c}}\right)} e^{\left(-2 i \, a\right)}}{8 \, x^{2}}\right)}{\sqrt{c}} + \frac{x e^{\left(4 i \, a\right)} \log\left(\frac{{\left(\sqrt{c x^{2}} {\left(x^{2} + 1\right)} e^{\left(2 i \, a\right)} - \frac{{\left(c x^{3} - c x\right)} e^{\left(2 i \, a\right)}}{\sqrt{c}}\right)} e^{\left(-2 i \, a\right)}}{8 \, x^{2}}\right)}{\sqrt{c}} - \sqrt{c x^{2}} {\left(x^{2} - 1\right)}\right)} e^{\left(-2 i \, a\right)}}{8 \, x}"," ",0,"1/8*(4*x^2*e^(2*I*a) - x*e^(4*I*a)*log(1/8*(sqrt(c*x^2)*(x^2 + 1)*e^(2*I*a) + (c*x^3 - c*x)*e^(2*I*a)/sqrt(c))*e^(-2*I*a)/x^2)/sqrt(c) + x*e^(4*I*a)*log(1/8*(sqrt(c*x^2)*(x^2 + 1)*e^(2*I*a) - (c*x^3 - c*x)*e^(2*I*a)/sqrt(c))*e^(-2*I*a)/x^2)/sqrt(c) - sqrt(c*x^2)*(x^2 - 1))*e^(-2*I*a)/x","B",0
51,1,97,0,0.428631," ","integrate(x^m*sin(a+1/6*log(c*x^2)*(-(1+m)^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{{\left({\left(4 i \, m + 4 i\right)} e^{\left(-{\left(m + 1\right)} \log\left(c\right) - 2 \, {\left(m + 1\right)} \log\left(x\right) + 6 i \, a\right)} \log\left(x\right) + 9 i \, e^{\left(-\frac{1}{3} \, {\left(m + 1\right)} \log\left(c\right) - \frac{2}{3} \, {\left(m + 1\right)} \log\left(x\right) + 2 i \, a\right)} - 18 i \, e^{\left(-\frac{2}{3} \, {\left(m + 1\right)} \log\left(c\right) - \frac{4}{3} \, {\left(m + 1\right)} \log\left(x\right) + 4 i \, a\right)} - 2 i\right)} e^{\left(\frac{1}{2} \, {\left(m + 1\right)} \log\left(c\right) + 2 \, {\left(m + 1\right)} \log\left(x\right) - 3 i \, a\right)}}{32 \, {\left(m + 1\right)}}"," ",0,"1/32*((4*I*m + 4*I)*e^(-(m + 1)*log(c) - 2*(m + 1)*log(x) + 6*I*a)*log(x) + 9*I*e^(-1/3*(m + 1)*log(c) - 2/3*(m + 1)*log(x) + 2*I*a) - 18*I*e^(-2/3*(m + 1)*log(c) - 4/3*(m + 1)*log(x) + 4*I*a) - 2*I)*e^(1/2*(m + 1)*log(c) + 2*(m + 1)*log(x) - 3*I*a)/(m + 1)","C",0
52,1,204,0,4.417722," ","integrate(sin(a+1/6*I*log(c*x^2))^3,x, algorithm=""fricas"")","-\frac{{\left(2 \, c x \sqrt{-\frac{e^{\left(6 i \, a\right)}}{c}} e^{\left(3 i \, a\right)} \log\left(\frac{{\left(4 \, \sqrt{c x^{2}} {\left(x^{2} + 1\right)} e^{\left(3 i \, a\right)} + {\left(4 i \, c x^{3} - 4 i \, c x\right)} \sqrt{-\frac{e^{\left(6 i \, a\right)}}{c}}\right)} e^{\left(-3 i \, a\right)}}{32 \, x^{2}}\right) - 2 \, c x \sqrt{-\frac{e^{\left(6 i \, a\right)}}{c}} e^{\left(3 i \, a\right)} \log\left(\frac{{\left(4 \, \sqrt{c x^{2}} {\left(x^{2} + 1\right)} e^{\left(3 i \, a\right)} + {\left(-4 i \, c x^{3} + 4 i \, c x\right)} \sqrt{-\frac{e^{\left(6 i \, a\right)}}{c}}\right)} e^{\left(-3 i \, a\right)}}{32 \, x^{2}}\right) - 9 i \, \left(c x^{2}\right)^{\frac{1}{6}} c x^{2} e^{\left(2 i \, a\right)} + 18 i \, \left(c x^{2}\right)^{\frac{5}{6}} e^{\left(4 i \, a\right)} - \sqrt{c x^{2}} {\left(-2 i \, c x^{2} + 2 i \, c\right)}\right)} e^{\left(-3 i \, a\right)}}{32 \, c x}"," ",0,"-1/32*(2*c*x*sqrt(-e^(6*I*a)/c)*e^(3*I*a)*log(1/32*(4*sqrt(c*x^2)*(x^2 + 1)*e^(3*I*a) + (4*I*c*x^3 - 4*I*c*x)*sqrt(-e^(6*I*a)/c))*e^(-3*I*a)/x^2) - 2*c*x*sqrt(-e^(6*I*a)/c)*e^(3*I*a)*log(1/32*(4*sqrt(c*x^2)*(x^2 + 1)*e^(3*I*a) + (-4*I*c*x^3 + 4*I*c*x)*sqrt(-e^(6*I*a)/c))*e^(-3*I*a)/x^2) - 9*I*(c*x^2)^(1/6)*c*x^2*e^(2*I*a) + 18*I*(c*x^2)^(5/6)*e^(4*I*a) - sqrt(c*x^2)*(-2*I*c*x^2 + 2*I*c))*e^(-3*I*a)/(c*x)","B",0
53,-2,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
54,-2,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
55,0,0,0,0.490818," ","integrate(sin(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(sin(b*log(c*x^n) + a))/x, x)","F",0
56,-2,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(1/2)/x^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
57,-2,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(1/2)/x^3,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
58,-2,0,0,0.000000," ","integrate(x*sin(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
59,-2,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
60,0,0,0,0.476591," ","integrate(sin(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(sin(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
61,-2,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(3/2)/x^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
62,-2,0,0,0.000000," ","integrate(sin(a+b*log(c*x^n))^(3/2)/x^3,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
63,-2,0,0,0.000000," ","integrate(1/sin(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
64,0,0,0,0.421339," ","integrate(1/x/sin(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(1/(x*sqrt(sin(b*log(c*x^n) + a))), x)","F",0
65,-2,0,0,0.000000," ","integrate(1/sin(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
66,0,0,0,0.531422," ","integrate(1/x/sin(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}{x \cos\left(b \log\left(c x^{n}\right) + a\right)^{2} - x}, x\right)"," ",0,"integral(-sqrt(sin(b*log(c*x^n) + a))/(x*cos(b*log(c*x^n) + a)^2 - x), x)","F",0
67,-2,0,0,0.000000," ","integrate(1/sin(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
68,0,0,0,0.583417," ","integrate(1/x/sin(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(x \cos\left(b \log\left(c x^{n}\right) + a\right)^{2} - x\right)} \sqrt{\sin\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(-1/((x*cos(b*log(c*x^n) + a)^2 - x)*sqrt(sin(b*log(c*x^n) + a))), x)","F",0
69,1,43,0,0.513536," ","integrate(1/sin(a-2*I*log(c*x))^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{-i \, c^{4} x^{4} + i \, e^{\left(-2 i \, a\right)}} e^{\left(-\frac{3}{2} i \, a\right)}}{c^{5} x^{4} - c e^{\left(-2 i \, a\right)}}"," ",0,"2*sqrt(1/2)*sqrt(-I*c^4*x^4 + I*e^(-2*I*a))*e^(-3/2*I*a)/(c^5*x^4 - c*e^(-2*I*a))","A",0
70,1,467,0,0.574677," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^4,x, algorithm=""fricas"")","\frac{4 \, {\left({\left(4 \, {\left(b^{3} d^{3} m + b^{3} d^{3}\right)} n^{3} + {\left(b d m^{3} + 3 \, b d m^{2} + 3 \, b d m + b d\right)} n\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)^{3} - {\left(10 \, {\left(b^{3} d^{3} m + b^{3} d^{3}\right)} n^{3} + {\left(b d m^{3} + 3 \, b d m^{2} + 3 \, b d m + b d\right)} n\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} \sin\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) + {\left({\left(m^{4} + 4 \, m^{3} + 4 \, {\left(b^{2} d^{2} m^{2} + 2 \, b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)^{4} - 2 \, {\left(m^{4} + 4 \, m^{3} + 10 \, {\left(b^{2} d^{2} m^{2} + 2 \, b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)^{2} + {\left(24 \, b^{4} d^{4} n^{4} + m^{4} + 4 \, m^{3} + 16 \, {\left(b^{2} d^{2} m^{2} + 2 \, b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{5} + 64 \, {\left(b^{4} d^{4} m + b^{4} d^{4}\right)} n^{4} + 5 \, m^{4} + 10 \, m^{3} + 20 \, {\left(b^{2} d^{2} m^{3} + 3 \, b^{2} d^{2} m^{2} + 3 \, b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 10 \, m^{2} + 5 \, m + 1}"," ",0,"(4*((4*(b^3*d^3*m + b^3*d^3)*n^3 + (b*d*m^3 + 3*b*d*m^2 + 3*b*d*m + b*d)*n)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)^3 - (10*(b^3*d^3*m + b^3*d^3)*n^3 + (b*d*m^3 + 3*b*d*m^2 + 3*b*d*m + b*d)*n)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d))*e^(m*log(e) + m*log(x))*sin(b*d*n*log(x) + b*d*log(c) + a*d) + ((m^4 + 4*m^3 + 4*(b^2*d^2*m^2 + 2*b^2*d^2*m + b^2*d^2)*n^2 + 6*m^2 + 4*m + 1)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)^4 - 2*(m^4 + 4*m^3 + 10*(b^2*d^2*m^2 + 2*b^2*d^2*m + b^2*d^2)*n^2 + 6*m^2 + 4*m + 1)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)^2 + (24*b^4*d^4*n^4 + m^4 + 4*m^3 + 16*(b^2*d^2*m^2 + 2*b^2*d^2*m + b^2*d^2)*n^2 + 6*m^2 + 4*m + 1)*x)*e^(m*log(e) + m*log(x)))/(m^5 + 64*(b^4*d^4*m + b^4*d^4)*n^4 + 5*m^4 + 10*m^3 + 20*(b^2*d^2*m^3 + 3*b^2*d^2*m^2 + 3*b^2*d^2*m + b^2*d^2)*n^2 + 10*m^2 + 5*m + 1)","A",0
71,1,293,0,0.565020," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^3,x, algorithm=""fricas"")","-\frac{{\left({\left(m^{3} + {\left(b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)^{2} - {\left(m^{3} + 7 \, {\left(b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} \sin\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) - 3 \, {\left({\left(b^{3} d^{3} n^{3} + {\left(b d m^{2} + 2 \, b d m + b d\right)} n\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)^{3} - {\left(3 \, b^{3} d^{3} n^{3} + {\left(b d m^{2} + 2 \, b d m + b d\right)} n\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{9 \, b^{4} d^{4} n^{4} + m^{4} + 4 \, m^{3} + 10 \, {\left(b^{2} d^{2} m^{2} + 2 \, b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1}"," ",0,"-(((m^3 + (b^2*d^2*m + b^2*d^2)*n^2 + 3*m^2 + 3*m + 1)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)^2 - (m^3 + 7*(b^2*d^2*m + b^2*d^2)*n^2 + 3*m^2 + 3*m + 1)*x)*e^(m*log(e) + m*log(x))*sin(b*d*n*log(x) + b*d*log(c) + a*d) - 3*((b^3*d^3*n^3 + (b*d*m^2 + 2*b*d*m + b*d)*n)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)^3 - (3*b^3*d^3*n^3 + (b*d*m^2 + 2*b*d*m + b*d)*n)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d))*e^(m*log(e) + m*log(x)))/(9*b^4*d^4*n^4 + m^4 + 4*m^3 + 10*(b^2*d^2*m^2 + 2*b^2*d^2*m + b^2*d^2)*n^2 + 6*m^2 + 4*m + 1)","A",0
72,1,155,0,0.650832," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(b d m + b d\right)} n x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} \sin\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) + {\left({\left(m^{2} + 2 \, m + 1\right)} x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)^{2} - {\left(2 \, b^{2} d^{2} n^{2} + m^{2} + 2 \, m + 1\right)} x\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{3} + 4 \, {\left(b^{2} d^{2} m + b^{2} d^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1}"," ",0,"-(2*(b*d*m + b*d)*n*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)*e^(m*log(e) + m*log(x))*sin(b*d*n*log(x) + b*d*log(c) + a*d) + ((m^2 + 2*m + 1)*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)^2 - (2*b^2*d^2*n^2 + m^2 + 2*m + 1)*x)*e^(m*log(e) + m*log(x)))/(m^3 + 4*(b^2*d^2*m + b^2*d^2)*n^2 + 3*m^2 + 3*m + 1)","A",0
73,1,86,0,0.486781," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","-\frac{b d n x \cos\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right) e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} - {\left(m + 1\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} \sin\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)}{b^{2} d^{2} n^{2} + m^{2} + 2 \, m + 1}"," ",0,"-(b*d*n*x*cos(b*d*n*log(x) + b*d*log(c) + a*d)*e^(m*log(e) + m*log(x)) - (m + 1)*x*e^(m*log(e) + m*log(x))*sin(b*d*n*log(x) + b*d*log(c) + a*d))/(b^2*d^2*n^2 + m^2 + 2*m + 1)","A",0
74,-2,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
75,-2,0,0,0.000000," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
76,-2,0,0,0.000000," ","integrate((e*x)^m/sin(d*(a+b*log(c*x^n)))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
77,-2,0,0,0.000000," ","integrate((e*x)^m/sin(d*(a+b*log(c*x^n)))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
78,-2,0,0,0.000000," ","integrate((e*x)^m/sin(d*(a+b*log(c*x^n)))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
79,0,0,0,0.722867," ","integrate((e*x)^m*sin(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sin\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral((e*x)^m*sin(b*d*log(c*x^n) + a*d)^p, x)","F",0
80,0,0,0,0.620268," ","integrate(x^2*sin(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \sin\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(x^2*sin(b*log(c*x^n) + a)^p, x)","F",0
81,0,0,0,0.479554," ","integrate(x*sin(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(x \sin\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(x*sin(b*log(c*x^n) + a)^p, x)","F",0
82,0,0,0,0.585913," ","integrate(sin(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\sin\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(sin(b*log(c*x^n) + a)^p, x)","F",0
83,0,0,0,1.063565," ","integrate(sin(a+b*log(c*x^n))^p/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{p}}{x}, x\right)"," ",0,"integral(sin(b*log(c*x^n) + a)^p/x, x)","F",0
84,0,0,0,0.534389," ","integrate(sin(a+b*log(c*x^n))^p/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{p}}{x^{2}}, x\right)"," ",0,"integral(sin(b*log(c*x^n) + a)^p/x^2, x)","F",0
85,0,0,0,0.713063," ","integrate(sin(a+b*log(c*x^n))^p/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sin\left(b \log\left(c x^{n}\right) + a\right)^{p}}{x^{3}}, x\right)"," ",0,"integral(sin(b*log(c*x^n) + a)^p/x^3, x)","F",0
86,1,48,0,0.638498," ","integrate(x^2*cos(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{b n x^{3} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 3 \, x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} + 9}"," ",0,"(b*n*x^3*sin(b*n*log(x) + b*log(c) + a) + 3*x^3*cos(b*n*log(x) + b*log(c) + a))/(b^2*n^2 + 9)","A",0
87,1,48,0,0.803838," ","integrate(x*cos(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{b n x^{2} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2 \, x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} + 4}"," ",0,"(b*n*x^2*sin(b*n*log(x) + b*log(c) + a) + 2*x^2*cos(b*n*log(x) + b*log(c) + a))/(b^2*n^2 + 4)","A",0
88,1,43,0,0.827983," ","integrate(cos(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{b n x \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} + 1}"," ",0,"(b*n*x*sin(b*n*log(x) + b*log(c) + a) + x*cos(b*n*log(x) + b*log(c) + a))/(b^2*n^2 + 1)","A",0
89,1,19,0,0.566360," ","integrate(cos(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{\sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n}"," ",0,"sin(b*n*log(x) + b*log(c) + a)/(b*n)","A",0
90,1,45,0,0.977283," ","integrate(cos(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","\frac{b n \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{{\left(b^{2} n^{2} + 1\right)} x}"," ",0,"(b*n*sin(b*n*log(x) + b*log(c) + a) - cos(b*n*log(x) + b*log(c) + a))/((b^2*n^2 + 1)*x)","A",0
91,1,76,0,0.680135," ","integrate(x^2*cos(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{2 \, b^{2} n^{2} x^{3} + 6 \, b n x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 9 \, x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}}{3 \, {\left(4 \, b^{2} n^{2} + 9\right)}}"," ",0,"1/3*(2*b^2*n^2*x^3 + 6*b*n*x^3*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + 9*x^3*cos(b*n*log(x) + b*log(c) + a)^2)/(4*b^2*n^2 + 9)","A",0
92,1,74,0,0.442284," ","integrate(x*cos(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{b^{2} n^{2} x^{2} + 2 \, b n x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2 \, x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}}{4 \, {\left(b^{2} n^{2} + 1\right)}}"," ",0,"1/4*(b^2*n^2*x^2 + 2*b*n*x^2*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + 2*x^2*cos(b*n*log(x) + b*log(c) + a)^2)/(b^2*n^2 + 1)","A",0
93,1,68,0,0.718552," ","integrate(cos(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{2 \, b^{2} n^{2} x + 2 \, b n x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}}{4 \, b^{2} n^{2} + 1}"," ",0,"(2*b^2*n^2*x + 2*b*n*x*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + x*cos(b*n*log(x) + b*log(c) + a)^2)/(4*b^2*n^2 + 1)","A",0
94,1,39,0,0.638402," ","integrate(cos(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{b n \log\left(x\right) + \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{2 \, b n}"," ",0,"1/2*(b*n*log(x) + cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
95,1,68,0,0.471869," ","integrate(cos(a+b*log(c*x^n))^2/x^2,x, algorithm=""fricas"")","-\frac{2 \, b^{2} n^{2} - 2 \, b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}}{{\left(4 \, b^{2} n^{2} + 1\right)} x}"," ",0,"-(2*b^2*n^2 - 2*b*n*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + cos(b*n*log(x) + b*log(c) + a)^2)/((4*b^2*n^2 + 1)*x)","A",0
96,1,127,0,0.447922," ","integrate(x^2*cos(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{6 \, b^{2} n^{2} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(b^{2} n^{2} + 9\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(2 \, b^{3} n^{3} x^{3} + {\left(b^{3} n^{3} + 9 \, b n\right)} x^{3} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{3 \, {\left(b^{4} n^{4} + 10 \, b^{2} n^{2} + 9\right)}}"," ",0,"1/3*(6*b^2*n^2*x^3*cos(b*n*log(x) + b*log(c) + a) + (b^2*n^2 + 9)*x^3*cos(b*n*log(x) + b*log(c) + a)^3 + (2*b^3*n^3*x^3 + (b^3*n^3 + 9*b*n)*x^3*cos(b*n*log(x) + b*log(c) + a)^2)*sin(b*n*log(x) + b*log(c) + a))/(b^4*n^4 + 10*b^2*n^2 + 9)","A",0
97,1,129,0,0.511743," ","integrate(x*cos(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{12 \, b^{2} n^{2} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2 \, {\left(b^{2} n^{2} + 4\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(2 \, b^{3} n^{3} x^{2} + {\left(b^{3} n^{3} + 4 \, b n\right)} x^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{9 \, b^{4} n^{4} + 40 \, b^{2} n^{2} + 16}"," ",0,"(12*b^2*n^2*x^2*cos(b*n*log(x) + b*log(c) + a) + 2*(b^2*n^2 + 4)*x^2*cos(b*n*log(x) + b*log(c) + a)^3 + 3*(2*b^3*n^3*x^2 + (b^3*n^3 + 4*b*n)*x^2*cos(b*n*log(x) + b*log(c) + a)^2)*sin(b*n*log(x) + b*log(c) + a))/(9*b^4*n^4 + 40*b^2*n^2 + 16)","A",0
98,1,119,0,0.432853," ","integrate(cos(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{6 \, b^{2} n^{2} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(b^{2} n^{2} + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(2 \, b^{3} n^{3} x + {\left(b^{3} n^{3} + b n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{9 \, b^{4} n^{4} + 10 \, b^{2} n^{2} + 1}"," ",0,"(6*b^2*n^2*x*cos(b*n*log(x) + b*log(c) + a) + (b^2*n^2 + 1)*x*cos(b*n*log(x) + b*log(c) + a)^3 + 3*(2*b^3*n^3*x + (b^3*n^3 + b*n)*x*cos(b*n*log(x) + b*log(c) + a)^2)*sin(b*n*log(x) + b*log(c) + a))/(9*b^4*n^4 + 10*b^2*n^2 + 1)","A",0
99,1,36,0,0.616005," ","integrate(cos(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","\frac{{\left(\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{3 \, b n}"," ",0,"1/3*(cos(b*n*log(x) + b*log(c) + a)^2 + 2)*sin(b*n*log(x) + b*log(c) + a)/(b*n)","A",0
100,1,119,0,0.543270," ","integrate(cos(a+b*log(c*x^n))^3/x^2,x, algorithm=""fricas"")","-\frac{6 \, b^{2} n^{2} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(b^{2} n^{2} + 1\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, {\left(2 \, b^{3} n^{3} + {\left(b^{3} n^{3} + b n\right)} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{{\left(9 \, b^{4} n^{4} + 10 \, b^{2} n^{2} + 1\right)} x}"," ",0,"-(6*b^2*n^2*cos(b*n*log(x) + b*log(c) + a) + (b^2*n^2 + 1)*cos(b*n*log(x) + b*log(c) + a)^3 - 3*(2*b^3*n^3 + (b^3*n^3 + b*n)*cos(b*n*log(x) + b*log(c) + a)^2)*sin(b*n*log(x) + b*log(c) + a))/((9*b^4*n^4 + 10*b^2*n^2 + 1)*x)","A",0
101,1,144,0,0.479507," ","integrate(cos(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","\frac{24 \, b^{4} n^{4} x + 12 \, b^{2} n^{2} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(4 \, b^{2} n^{2} + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, {\left(6 \, b^{3} n^{3} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(4 \, b^{3} n^{3} + b n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3}\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{64 \, b^{4} n^{4} + 20 \, b^{2} n^{2} + 1}"," ",0,"(24*b^4*n^4*x + 12*b^2*n^2*x*cos(b*n*log(x) + b*log(c) + a)^2 + (4*b^2*n^2 + 1)*x*cos(b*n*log(x) + b*log(c) + a)^4 + 4*(6*b^3*n^3*x*cos(b*n*log(x) + b*log(c) + a) + (4*b^3*n^3 + b*n)*x*cos(b*n*log(x) + b*log(c) + a)^3)*sin(b*n*log(x) + b*log(c) + a))/(64*b^4*n^4 + 20*b^2*n^2 + 1)","A",0
102,1,59,0,0.464033," ","integrate(cos(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{3 \, b n \log\left(x\right) + {\left(2 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{8 \, b n}"," ",0,"1/8*(3*b*n*log(x) + (2*cos(b*n*log(x) + b*log(c) + a)^3 + 3*cos(b*n*log(x) + b*log(c) + a))*sin(b*n*log(x) + b*log(c) + a))/(b*n)","A",0
103,1,25,0,0.435025," ","integrate(cos(log(6+3*x)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x + 2\right)} \cos\left(\log\left(3 \, x + 6\right)\right) + \frac{1}{2} \, {\left(x + 2\right)} \sin\left(\log\left(3 \, x + 6\right)\right)"," ",0,"1/2*(x + 2)*cos(log(3*x + 6)) + 1/2*(x + 2)*sin(log(3*x + 6))","A",0
104,1,60,0,0.593212," ","integrate(x^m*cos(a+log(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x, algorithm=""fricas"")","\frac{{\left(x^{2} x^{2 \, m} + 2 \, {\left(m + 1\right)} e^{\left(\frac{2 \, {\left(i \, a n - {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{i \, a n - {\left(m + 1\right)} \log\left(c\right)}{n}\right)}}{4 \, {\left(m + 1\right)}}"," ",0,"1/4*(x^2*x^(2*m) + 2*(m + 1)*e^(2*(I*a*n - (m + 1)*log(c))/n)*log(x))*e^(-(I*a*n - (m + 1)*log(c))/n)/(m + 1)","C",0
105,1,40,0,0.442273," ","integrate(cos(a+log(c*x^n)*(-1/n^2)^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{2} + 2 \, e^{\left(\frac{2 \, {\left(i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{i \, a n - \log\left(c\right)}{n}\right)}"," ",0,"1/4*(x^2 + 2*e^(2*(I*a*n - log(c))/n)*log(x))*e^(-(I*a*n - log(c))/n)","C",0
106,1,107,0,0.766915," ","integrate(x^m*cos(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, {\left(m + 1\right)} e^{\left(-\frac{2 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} \log\left(x\right) + 4 \, e^{\left(-\frac{{\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)}{n}\right)} + 1\right)} e^{\left(\frac{2 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n} + \frac{2 i \, a n - {\left(m + 1\right)} \log\left(c\right)}{n}\right)}}{8 \, {\left(m + 1\right)}}"," ",0,"1/8*(2*(m + 1)*e^(-2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n)*log(x) + 4*e^(-((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) + 1)*e^(2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n + (2*I*a*n - (m + 1)*log(c))/n)/(m + 1)","C",0
107,1,57,0,0.455815," ","integrate(cos(a+1/2*log(c*x^n)*(-1/n^2)^(1/2))^2,x, algorithm=""fricas"")","\frac{1}{8} \, {\left(x^{2} + 4 \, x e^{\left(\frac{2 i \, a n - \log\left(c\right)}{n}\right)} + 2 \, e^{\left(\frac{2 \, {\left(2 i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x\right)\right)} e^{\left(-\frac{2 i \, a n - \log\left(c\right)}{n}\right)}"," ",0,"1/8*(x^2 + 4*x*e^((2*I*a*n - log(c))/n) + 2*e^(2*(2*I*a*n - log(c))/n)*log(x))*e^(-(2*I*a*n - log(c))/n)","C",0
108,1,128,0,0.483869," ","integrate(x^m*cos(a+1/2*log(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{{\left(5 \, e^{\left(-\frac{{\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)}{n}\right)} + 15 \, e^{\left(-\frac{2 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} - 5 \, e^{\left(-\frac{3 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{n}\right)} + 1\right)} e^{\left(\frac{5 \, {\left({\left(m + 1\right)} n \log\left(x\right) - 2 i \, a n + {\left(m + 1\right)} \log\left(c\right)\right)}}{2 \, n} + \frac{2 i \, a n - {\left(m + 1\right)} \log\left(c\right)}{n}\right)}}{20 \, {\left(m + 1\right)}}"," ",0,"1/20*(5*e^(-((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) + 15*e^(-2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) - 5*e^(-3*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n) + 1)*e^(5/2*((m + 1)*n*log(x) - 2*I*a*n + (m + 1)*log(c))/n + (2*I*a*n - (m + 1)*log(c))/n)/(m + 1)","C",0
109,1,84,0,0.608657," ","integrate(cos(a+1/3*log(c*x^n)*(-1/n^2)^(1/2))^3,x, algorithm=""fricas"")","\frac{1}{32} \, {\left(9 \, x^{\frac{4}{3}} e^{\left(\frac{2 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{3 \, n}\right)} + 2 \, x^{2} + 12 \, e^{\left(\frac{2 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{n}\right)} \log\left(x^{\frac{1}{3}}\right) + 18 \, x^{\frac{2}{3}} e^{\left(\frac{4 \, {\left(3 i \, a n - \log\left(c\right)\right)}}{3 \, n}\right)}\right)} e^{\left(-\frac{3 i \, a n - \log\left(c\right)}{n}\right)}"," ",0,"1/32*(9*x^(4/3)*e^(2/3*(3*I*a*n - log(c))/n) + 2*x^2 + 12*e^(2*(3*I*a*n - log(c))/n)*log(x^(1/3)) + 18*x^(2/3)*e^(4/3*(3*I*a*n - log(c))/n))*e^(-(3*I*a*n - log(c))/n)","C",0
110,-2,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
111,0,0,0,0.510624," ","integrate(cos(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(cos(b*log(c*x^n) + a))/x, x)","F",0
112,-2,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
113,0,0,0,0.737591," ","integrate(cos(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(cos(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
114,-2,0,0,0.000000," ","integrate(cos(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
115,0,0,0,0.482520," ","integrate(cos(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}, x\right)"," ",0,"integral(cos(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
116,-2,0,0,0.000000," ","integrate(1/cos(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
117,0,0,0,0.622816," ","integrate(1/x/cos(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sqrt{\cos\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(1/(x*sqrt(cos(b*log(c*x^n) + a))), x)","F",0
118,-2,0,0,0.000000," ","integrate(1/cos(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
119,0,0,0,0.456338," ","integrate(1/x/cos(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(1/(x*cos(b*log(c*x^n) + a)^(3/2)), x)","F",0
120,-2,0,0,0.000000," ","integrate(1/cos(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
121,0,0,0,0.566090," ","integrate(1/x/cos(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \cos\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(1/(x*cos(b*log(c*x^n) + a)^(5/2)), x)","F",0
122,1,39,0,0.606977," ","integrate(1/cos(a-2*I*log(c*x))^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\frac{1}{2}} \sqrt{c^{4} x^{4} + e^{\left(-2 i \, a\right)}} e^{\left(-\frac{3}{2} i \, a\right)}}{c^{5} x^{4} + c e^{\left(-2 i \, a\right)}}"," ",0,"-2*sqrt(1/2)*sqrt(c^4*x^4 + e^(-2*I*a))*e^(-3/2*I*a)/(c^5*x^4 + c*e^(-2*I*a))","A",0
123,1,273,0,1.007929," ","integrate(x^m*cos(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","\frac{4 \, {\left(6 \, {\left(b^{3} m + b^{3}\right)} n^{3} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(4 \, {\left(b^{3} m + b^{3}\right)} n^{3} + {\left(b m^{3} + 3 \, b m^{2} + 3 \, b m + b\right)} n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3}\right)} x^{m} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(24 \, b^{4} n^{4} x + 12 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(m^{4} + 4 \, m^{3} + 4 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4}\right)} x^{m}}{m^{5} + 64 \, {\left(b^{4} m + b^{4}\right)} n^{4} + 5 \, m^{4} + 10 \, m^{3} + 20 \, {\left(b^{2} m^{3} + 3 \, b^{2} m^{2} + 3 \, b^{2} m + b^{2}\right)} n^{2} + 10 \, m^{2} + 5 \, m + 1}"," ",0,"(4*(6*(b^3*m + b^3)*n^3*x*cos(b*n*log(x) + b*log(c) + a) + (4*(b^3*m + b^3)*n^3 + (b*m^3 + 3*b*m^2 + 3*b*m + b)*n)*x*cos(b*n*log(x) + b*log(c) + a)^3)*x^m*sin(b*n*log(x) + b*log(c) + a) + (24*b^4*n^4*x + 12*(b^2*m^2 + 2*b^2*m + b^2)*n^2*x*cos(b*n*log(x) + b*log(c) + a)^2 + (m^4 + 4*m^3 + 4*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)*x*cos(b*n*log(x) + b*log(c) + a)^4)*x^m)/(m^5 + 64*(b^4*m + b^4)*n^4 + 5*m^4 + 10*m^3 + 20*(b^2*m^3 + 3*b^2*m^2 + 3*b^2*m + b^2)*n^2 + 10*m^2 + 5*m + 1)","A",0
124,1,190,0,0.692727," ","integrate(x^m*cos(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{3} n^{3} x + {\left(b^{3} n^{3} + {\left(b m^{2} + 2 \, b m + b\right)} n\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}\right)} x^{m} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(6 \, {\left(b^{2} m + b^{2}\right)} n^{2} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(m^{3} + {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3}\right)} x^{m}}{9 \, b^{4} n^{4} + m^{4} + 4 \, m^{3} + 10 \, {\left(b^{2} m^{2} + 2 \, b^{2} m + b^{2}\right)} n^{2} + 6 \, m^{2} + 4 \, m + 1}"," ",0,"(3*(2*b^3*n^3*x + (b^3*n^3 + (b*m^2 + 2*b*m + b)*n)*x*cos(b*n*log(x) + b*log(c) + a)^2)*x^m*sin(b*n*log(x) + b*log(c) + a) + (6*(b^2*m + b^2)*n^2*x*cos(b*n*log(x) + b*log(c) + a) + (m^3 + (b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)*x*cos(b*n*log(x) + b*log(c) + a)^3)*x^m)/(9*b^4*n^4 + m^4 + 4*m^3 + 10*(b^2*m^2 + 2*b^2*m + b^2)*n^2 + 6*m^2 + 4*m + 1)","A",0
125,1,105,0,0.620195," ","integrate(x^m*cos(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(b m + b\right)} n x x^{m} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(2 \, b^{2} n^{2} x + {\left(m^{2} + 2 \, m + 1\right)} x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}\right)} x^{m}}{m^{3} + 4 \, {\left(b^{2} m + b^{2}\right)} n^{2} + 3 \, m^{2} + 3 \, m + 1}"," ",0,"(2*(b*m + b)*n*x*x^m*cos(b*n*log(x) + b*log(c) + a)*sin(b*n*log(x) + b*log(c) + a) + (2*b^2*n^2*x + (m^2 + 2*m + 1)*x*cos(b*n*log(x) + b*log(c) + a)^2)*x^m)/(m^3 + 4*(b^2*m + b^2)*n^2 + 3*m^2 + 3*m + 1)","A",0
126,1,58,0,0.554189," ","integrate(x^m*cos(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{b n x x^{m} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(m + 1\right)} x x^{m} \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b^{2} n^{2} + m^{2} + 2 \, m + 1}"," ",0,"(b*n*x*x^m*sin(b*n*log(x) + b*log(c) + a) + (m + 1)*x*x^m*cos(b*n*log(x) + b*log(c) + a))/(b^2*n^2 + m^2 + 2*m + 1)","A",0
127,-2,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
128,-2,0,0,0.000000," ","integrate(x^m*cos(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
129,-2,0,0,0.000000," ","integrate(x^m/cos(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
130,-2,0,0,0.000000," ","integrate(x^m/cos(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
131,-2,0,0,0.000000," ","integrate(x^m/cos(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
132,0,0,0,0.531156," ","integrate((e*x)^m*cos(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \cos\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral((e*x)^m*cos(b*d*log(c*x^n) + a*d)^p, x)","F",0
133,0,0,0,0.631262," ","integrate(x*cos(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(x \cos\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(x*cos(b*log(c*x^n) + a)^p, x)","F",0
134,0,0,0,0.582855," ","integrate(cos(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(cos(b*log(c*x^n) + a)^p, x)","F",0
135,1,30,0,0.601395," ","integrate(x^3*tan(a+I*log(x)),x, algorithm=""fricas"")","\frac{1}{4} i \, x^{4} - i \, x^{2} e^{\left(2 i \, a\right)} + i \, e^{\left(4 i \, a\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right)"," ",0,"1/4*I*x^4 - I*x^2*e^(2*I*a) + I*e^(4*I*a)*log(x^2 + e^(2*I*a))","A",0
136,1,42,0,0.536194," ","integrate(x^2*tan(a+I*log(x)),x, algorithm=""fricas"")","\frac{1}{3} i \, x^{3} - 2 i \, x e^{\left(2 i \, a\right)} - e^{\left(3 i \, a\right)} \log\left(x + i \, e^{\left(i \, a\right)}\right) + e^{\left(3 i \, a\right)} \log\left(x - i \, e^{\left(i \, a\right)}\right)"," ",0,"1/3*I*x^3 - 2*I*x*e^(2*I*a) - e^(3*I*a)*log(x + I*e^(I*a)) + e^(3*I*a)*log(x - I*e^(I*a))","A",0
137,1,21,0,0.464405," ","integrate(x*tan(a+I*log(x)),x, algorithm=""fricas"")","\frac{1}{2} i \, x^{2} - i \, e^{\left(2 i \, a\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right)"," ",0,"1/2*I*x^2 - I*e^(2*I*a)*log(x^2 + e^(2*I*a))","A",0
138,1,33,0,0.418710," ","integrate(tan(a+I*log(x)),x, algorithm=""fricas"")","e^{\left(i \, a\right)} \log\left(x + i \, e^{\left(i \, a\right)}\right) - e^{\left(i \, a\right)} \log\left(x - i \, e^{\left(i \, a\right)}\right) + i \, x"," ",0,"e^(I*a)*log(x + I*e^(I*a)) - e^(I*a)*log(x - I*e^(I*a)) + I*x","A",0
139,1,16,0,0.411979," ","integrate(tan(a+I*log(x))/x,x, algorithm=""fricas"")","i \, \log\left(x^{2} + e^{\left(2 i \, a\right)}\right) - i \, \log\left(x\right)"," ",0,"I*log(x^2 + e^(2*I*a)) - I*log(x)","A",0
140,1,39,0,0.511315," ","integrate(tan(a+I*log(x))/x^2,x, algorithm=""fricas"")","-\frac{{\left(x \log\left(x + i \, e^{\left(i \, a\right)}\right) - x \log\left(x - i \, e^{\left(i \, a\right)}\right) - i \, e^{\left(i \, a\right)}\right)} e^{\left(-i \, a\right)}}{x}"," ",0,"-(x*log(x + I*e^(I*a)) - x*log(x - I*e^(I*a)) - I*e^(I*a))*e^(-I*a)/x","B",0
141,1,37,0,0.461946," ","integrate(tan(a+I*log(x))/x^3,x, algorithm=""fricas"")","\frac{{\left(-2 i \, x^{2} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right) + 4 i \, x^{2} \log\left(x\right) + i \, e^{\left(2 i \, a\right)}\right)} e^{\left(-2 i \, a\right)}}{2 \, x^{2}}"," ",0,"1/2*(-2*I*x^2*log(x^2 + e^(2*I*a)) + 4*I*x^2*log(x) + I*e^(2*I*a))*e^(-2*I*a)/x^2","A",0
142,1,53,0,0.475842," ","integrate(tan(a+I*log(x))/x^4,x, algorithm=""fricas"")","\frac{{\left(3 \, x^{3} \log\left(x + i \, e^{\left(i \, a\right)}\right) - 3 \, x^{3} \log\left(x - i \, e^{\left(i \, a\right)}\right) - 6 i \, x^{2} e^{\left(i \, a\right)} + i \, e^{\left(3 i \, a\right)}\right)} e^{\left(-3 i \, a\right)}}{3 \, x^{3}}"," ",0,"1/3*(3*x^3*log(x + I*e^(I*a)) - 3*x^3*log(x - I*e^(I*a)) - 6*I*x^2*e^(I*a) + I*e^(3*I*a))*e^(-3*I*a)/x^3","A",0
143,1,64,0,0.687665," ","integrate(x^3*tan(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{6} - 7 \, x^{4} e^{\left(2 i \, a\right)} - 8 \, x^{2} e^{\left(4 i \, a\right)} + 16 \, {\left(x^{2} e^{\left(4 i \, a\right)} + e^{\left(6 i \, a\right)}\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right) + 8 \, e^{\left(6 i \, a\right)}}{4 \, {\left(x^{2} + e^{\left(2 i \, a\right)}\right)}}"," ",0,"-1/4*(x^6 - 7*x^4*e^(2*I*a) - 8*x^2*e^(4*I*a) + 16*(x^2*e^(4*I*a) + e^(6*I*a))*log(x^2 + e^(2*I*a)) + 8*e^(6*I*a))/(x^2 + e^(2*I*a))","A",0
144,1,86,0,0.502313," ","integrate(x^2*tan(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{5} - 11 \, x^{3} e^{\left(2 i \, a\right)} - 18 \, x e^{\left(4 i \, a\right)} - {\left(-9 i \, x^{2} e^{\left(3 i \, a\right)} - 9 i \, e^{\left(5 i \, a\right)}\right)} \log\left(x + i \, e^{\left(i \, a\right)}\right) - {\left(9 i \, x^{2} e^{\left(3 i \, a\right)} + 9 i \, e^{\left(5 i \, a\right)}\right)} \log\left(x - i \, e^{\left(i \, a\right)}\right)}{3 \, {\left(x^{2} + e^{\left(2 i \, a\right)}\right)}}"," ",0,"-1/3*(x^5 - 11*x^3*e^(2*I*a) - 18*x*e^(4*I*a) - (-9*I*x^2*e^(3*I*a) - 9*I*e^(5*I*a))*log(x + I*e^(I*a)) - (9*I*x^2*e^(3*I*a) + 9*I*e^(5*I*a))*log(x - I*e^(I*a)))/(x^2 + e^(2*I*a))","A",0
145,1,54,0,0.477715," ","integrate(x*tan(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{4} + x^{2} e^{\left(2 i \, a\right)} - 4 \, {\left(x^{2} e^{\left(2 i \, a\right)} + e^{\left(4 i \, a\right)}\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right) - 4 \, e^{\left(4 i \, a\right)}}{2 \, {\left(x^{2} + e^{\left(2 i \, a\right)}\right)}}"," ",0,"-1/2*(x^4 + x^2*e^(2*I*a) - 4*(x^2*e^(2*I*a) + e^(4*I*a))*log(x^2 + e^(2*I*a)) - 4*e^(4*I*a))/(x^2 + e^(2*I*a))","A",0
146,1,77,0,0.417761," ","integrate(tan(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{3} + 3 \, x e^{\left(2 i \, a\right)} - {\left(i \, x^{2} e^{\left(i \, a\right)} + i \, e^{\left(3 i \, a\right)}\right)} \log\left(x + i \, e^{\left(i \, a\right)}\right) - {\left(-i \, x^{2} e^{\left(i \, a\right)} - i \, e^{\left(3 i \, a\right)}\right)} \log\left(x - i \, e^{\left(i \, a\right)}\right)}{x^{2} + e^{\left(2 i \, a\right)}}"," ",0,"-(x^3 + 3*x*e^(2*I*a) - (I*x^2*e^(I*a) + I*e^(3*I*a))*log(x + I*e^(I*a)) - (-I*x^2*e^(I*a) - I*e^(3*I*a))*log(x - I*e^(I*a)))/(x^2 + e^(2*I*a))","B",0
147,1,30,0,0.503660," ","integrate(tan(a+I*log(x))^2/x,x, algorithm=""fricas"")","-\frac{{\left(x^{2} + e^{\left(2 i \, a\right)}\right)} \log\left(x\right) + 2 \, e^{\left(2 i \, a\right)}}{x^{2} + e^{\left(2 i \, a\right)}}"," ",0,"-((x^2 + e^(2*I*a))*log(x) + 2*e^(2*I*a))/(x^2 + e^(2*I*a))","B",0
148,1,78,0,0.581383," ","integrate(tan(a+I*log(x))^2/x^2,x, algorithm=""fricas"")","\frac{3 \, x^{2} e^{\left(i \, a\right)} + {\left(i \, x^{3} + i \, x e^{\left(2 i \, a\right)}\right)} \log\left(x + i \, e^{\left(i \, a\right)}\right) + {\left(-i \, x^{3} - i \, x e^{\left(2 i \, a\right)}\right)} \log\left(x - i \, e^{\left(i \, a\right)}\right) + e^{\left(3 i \, a\right)}}{x^{3} e^{\left(i \, a\right)} + x e^{\left(3 i \, a\right)}}"," ",0,"(3*x^2*e^(I*a) + (I*x^3 + I*x*e^(2*I*a))*log(x + I*e^(I*a)) + (-I*x^3 - I*x*e^(2*I*a))*log(x - I*e^(I*a)) + e^(3*I*a))/(x^3*e^(I*a) + x*e^(3*I*a))","A",0
149,1,74,0,0.489022," ","integrate(tan(a+I*log(x))^2/x^3,x, algorithm=""fricas"")","\frac{5 \, x^{2} e^{\left(2 i \, a\right)} - 4 \, {\left(x^{4} + x^{2} e^{\left(2 i \, a\right)}\right)} \log\left(x^{2} + e^{\left(2 i \, a\right)}\right) + 8 \, {\left(x^{4} + x^{2} e^{\left(2 i \, a\right)}\right)} \log\left(x\right) + e^{\left(4 i \, a\right)}}{2 \, {\left(x^{4} e^{\left(2 i \, a\right)} + x^{2} e^{\left(4 i \, a\right)}\right)}}"," ",0,"1/2*(5*x^2*e^(2*I*a) - 4*(x^4 + x^2*e^(2*I*a))*log(x^2 + e^(2*I*a)) + 8*(x^4 + x^2*e^(2*I*a))*log(x) + e^(4*I*a))/(x^4*e^(2*I*a) + x^2*e^(4*I*a))","A",0
150,0,0,0,0.504009," ","integrate((e*x)^m*tan(a+I*log(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, x^{2} - i \, e^{\left(2 i \, a\right)}\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{x^{2} + e^{\left(2 i \, a\right)}}, x\right)"," ",0,"integral((I*x^2 - I*e^(2*I*a))*e^(m*log(e) + m*log(x))/(x^2 + e^(2*I*a)), x)","F",0
151,0,0,0,0.730771," ","integrate((e*x)^m*tan(a+I*log(x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(x^{4} - 2 \, x^{2} e^{\left(2 i \, a\right)} + e^{\left(4 i \, a\right)}\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{x^{4} + 2 \, x^{2} e^{\left(2 i \, a\right)} + e^{\left(4 i \, a\right)}}, x\right)"," ",0,"integral(-(x^4 - 2*x^2*e^(2*I*a) + e^(4*I*a))*e^(m*log(e) + m*log(x))/(x^4 + 2*x^2*e^(2*I*a) + e^(4*I*a)), x)","F",0
152,0,0,0,0.503940," ","integrate((e*x)^m*tan(a+I*log(x))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-i \, x^{6} + 3 i \, x^{4} e^{\left(2 i \, a\right)} - 3 i \, x^{2} e^{\left(4 i \, a\right)} + i \, e^{\left(6 i \, a\right)}\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{x^{6} + 3 \, x^{4} e^{\left(2 i \, a\right)} + 3 \, x^{2} e^{\left(4 i \, a\right)} + e^{\left(6 i \, a\right)}}, x\right)"," ",0,"integral((-I*x^6 + 3*I*x^4*e^(2*I*a) - 3*I*x^2*e^(4*I*a) + I*e^(6*I*a))*e^(m*log(e) + m*log(x))/(x^6 + 3*x^4*e^(2*I*a) + 3*x^2*e^(4*I*a) + e^(6*I*a)), x)","F",0
153,0,0,0,0.463668," ","integrate(tan(a+b*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tan\left(b \log\left(x\right) + a\right)^{p}, x\right)"," ",0,"integral(tan(b*log(x) + a)^p, x)","F",0
154,0,0,0,0.504648," ","integrate((e*x)^m*tan(a+b*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tan\left(b \log\left(x\right) + a\right)^{p}, x\right)"," ",0,"integral((e*x)^m*tan(b*log(x) + a)^p, x)","F",0
155,0,0,0,0.682615," ","integrate(tan(a+log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tan\left(a + \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tan(a + log(x))^p, x)","F",0
156,0,0,0,0.506656," ","integrate(tan(a+2*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tan\left(a + 2 \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tan(a + 2*log(x))^p, x)","F",0
157,0,0,0,0.463880," ","integrate(tan(a+3*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tan\left(a + 3 \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(tan(a + 3*log(x))^p, x)","F",0
158,0,0,0,0.431032," ","integrate(x^3*tan(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \tan\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x^3*tan(b*d*log(c*x^n) + a*d), x)","F",0
159,0,0,0,0.433270," ","integrate(x^2*tan(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \tan\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x^2*tan(b*d*log(c*x^n) + a*d), x)","F",0
160,0,0,0,0.474179," ","integrate(x*tan(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x \tan\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x*tan(b*d*log(c*x^n) + a*d), x)","F",0
161,0,0,0,0.461623," ","integrate(tan(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(\tan\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(tan(b*d*log(c*x^n) + a*d), x)","F",0
162,1,35,0,0.453230," ","integrate(tan(d*(a+b*log(c*x^n)))/x,x, algorithm=""fricas"")","-\frac{\log\left(\frac{1}{2} \, \cos\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right) + \frac{1}{2}\right)}{2 \, b d n}"," ",0,"-1/2*log(1/2*cos(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d) + 1/2)/(b*d*n)","A",0
163,0,0,0,0.419573," ","integrate(tan(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tan\left(b d \log\left(c x^{n}\right) + a d\right)}{x^{2}}, x\right)"," ",0,"integral(tan(b*d*log(c*x^n) + a*d)/x^2, x)","F",0
164,0,0,0,0.470764," ","integrate(tan(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tan\left(b d \log\left(c x^{n}\right) + a d\right)}{x^{3}}, x\right)"," ",0,"integral(tan(b*d*log(c*x^n) + a*d)/x^3, x)","F",0
165,0,0,0,0.434252," ","integrate(x^3*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \tan\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x^3*tan(b*d*log(c*x^n) + a*d)^2, x)","F",0
166,0,0,0,0.449116," ","integrate(x^2*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \tan\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x^2*tan(b*d*log(c*x^n) + a*d)^2, x)","F",0
167,0,0,0,0.451066," ","integrate(x*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x \tan\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x*tan(b*d*log(c*x^n) + a*d)^2, x)","F",0
168,0,0,0,0.450564," ","integrate(tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\tan\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(tan(b*d*log(c*x^n) + a*d)^2, x)","F",0
169,1,85,0,0.620409," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""fricas"")","-\frac{b d n \cos\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right) \log\left(x\right) + b d n \log\left(x\right) - \sin\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right)}{b d n \cos\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right) + b d n}"," ",0,"-(b*d*n*cos(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d)*log(x) + b*d*n*log(x) - sin(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d))/(b*d*n*cos(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d) + b*d*n)","B",0
170,0,0,0,0.421739," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tan\left(b d \log\left(c x^{n}\right) + a d\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(tan(b*d*log(c*x^n) + a*d)^2/x^2, x)","F",0
171,0,0,0,0.543541," ","integrate(tan(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\tan\left(b d \log\left(c x^{n}\right) + a d\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(tan(b*d*log(c*x^n) + a*d)^2/x^3, x)","F",0
172,1,69,0,0.447788," ","integrate(tan(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","\frac{{\left(\cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + 1\right)} \log\left(\frac{1}{2} \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + \frac{1}{2}\right) + 2}{2 \, {\left(b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + b n\right)}}"," ",0,"1/2*((cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1)*log(1/2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1/2) + 2)/(b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + b*n)","A",0
173,1,140,0,0.518980," ","integrate(tan(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{3 \, b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)^{2} \log\left(x\right) + 6 \, b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) \log\left(x\right) + 3 \, b n \log\left(x\right) - 2 \, {\left(2 \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + 1\right)} \sin\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)}{3 \, {\left(b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)^{2} + 2 \, b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + b n\right)}}"," ",0,"1/3*(3*b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a)^2*log(x) + 6*b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a)*log(x) + 3*b*n*log(x) - 2*(2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1)*sin(2*b*n*log(x) + 2*b*log(c) + 2*a))/(b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a)^2 + 2*b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + b*n)","B",0
174,1,129,0,0.449624," ","integrate(tan(a+b*log(c*x^n))^5/x,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)^{2} + 2 \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + 1\right)} \log\left(\frac{1}{2} \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + \frac{1}{2}\right) + 4 \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + 2}{2 \, {\left(b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)^{2} + 2 \, b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + b n\right)}}"," ",0,"-1/2*((cos(2*b*n*log(x) + 2*b*log(c) + 2*a)^2 + 2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1)*log(1/2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1/2) + 4*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 2)/(b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a)^2 + 2*b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + b*n)","B",0
175,0,0,0,0.410839," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tan\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral((e*x)^m*tan(b*d*log(c*x^n) + a*d), x)","F",0
176,0,0,0,0.450931," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tan\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral((e*x)^m*tan(b*d*log(c*x^n) + a*d)^2, x)","F",0
177,0,0,0,0.436049," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tan\left(b d \log\left(c x^{n}\right) + a d\right)^{3}, x\right)"," ",0,"integral((e*x)^m*tan(b*d*log(c*x^n) + a*d)^3, x)","F",0
178,0,0,0,0.496847," ","integrate(tan(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\tan\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral(tan(b*d*log(c*x^n) + a*d)^p, x)","F",0
179,0,0,0,0.453422," ","integrate((e*x)^m*tan(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \tan\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral((e*x)^m*tan(b*d*log(c*x^n) + a*d)^p, x)","F",0
180,-2,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
181,-2,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
182,-2,0,0,0.000000," ","integrate(tan(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
183,-2,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
184,-2,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
185,-2,0,0,0.000000," ","integrate(1/x/tan(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
186,1,32,0,0.663693," ","integrate(x^3*cot(a+I*log(x)),x, algorithm=""fricas"")","-\frac{1}{4} i \, x^{4} - i \, x^{2} e^{\left(2 i \, a\right)} - i \, e^{\left(4 i \, a\right)} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right)"," ",0,"-1/4*I*x^4 - I*x^2*e^(2*I*a) - I*e^(4*I*a)*log(x^2 - e^(2*I*a))","A",0
187,1,82,0,1.484040," ","integrate(x^2*cot(a+I*log(x)),x, algorithm=""fricas"")","-\frac{1}{3} i \, x^{3} - 2 i \, x e^{\left(2 i \, a\right)} - \sqrt{-e^{\left(6 i \, a\right)}} \log\left(\frac{1}{2} \, {\left(2 \, x e^{\left(2 i \, a\right)} + 2 i \, \sqrt{-e^{\left(6 i \, a\right)}}\right)} e^{\left(-2 i \, a\right)}\right) + \sqrt{-e^{\left(6 i \, a\right)}} \log\left(\frac{1}{2} \, {\left(2 \, x e^{\left(2 i \, a\right)} - 2 i \, \sqrt{-e^{\left(6 i \, a\right)}}\right)} e^{\left(-2 i \, a\right)}\right)"," ",0,"-1/3*I*x^3 - 2*I*x*e^(2*I*a) - sqrt(-e^(6*I*a))*log(1/2*(2*x*e^(2*I*a) + 2*I*sqrt(-e^(6*I*a)))*e^(-2*I*a)) + sqrt(-e^(6*I*a))*log(1/2*(2*x*e^(2*I*a) - 2*I*sqrt(-e^(6*I*a)))*e^(-2*I*a))","B",0
188,1,23,0,0.589288," ","integrate(x*cot(a+I*log(x)),x, algorithm=""fricas"")","-\frac{1}{2} i \, x^{2} - i \, e^{\left(2 i \, a\right)} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right)"," ",0,"-1/2*I*x^2 - I*e^(2*I*a)*log(x^2 - e^(2*I*a))","A",0
189,1,49,0,0.679922," ","integrate(cot(a+I*log(x)),x, algorithm=""fricas"")","-\sqrt{-e^{\left(2 i \, a\right)}} \log\left(x + i \, \sqrt{-e^{\left(2 i \, a\right)}}\right) + \sqrt{-e^{\left(2 i \, a\right)}} \log\left(x - i \, \sqrt{-e^{\left(2 i \, a\right)}}\right) - i \, x"," ",0,"-sqrt(-e^(2*I*a))*log(x + I*sqrt(-e^(2*I*a))) + sqrt(-e^(2*I*a))*log(x - I*sqrt(-e^(2*I*a))) - I*x","B",0
190,1,18,0,0.785829," ","integrate(cot(a+I*log(x))/x,x, algorithm=""fricas"")","-i \, \log\left(x^{2} - e^{\left(2 i \, a\right)}\right) + i \, \log\left(x\right)"," ",0,"-I*log(x^2 - e^(2*I*a)) + I*log(x)","A",0
191,1,36,0,0.907310," ","integrate(cot(a+I*log(x))/x^2,x, algorithm=""fricas"")","\frac{i \, x e^{\left(-i \, a\right)} \log\left(x + e^{\left(i \, a\right)}\right) - i \, x e^{\left(-i \, a\right)} \log\left(x - e^{\left(i \, a\right)}\right) - i}{x}"," ",0,"(I*x*e^(-I*a)*log(x + e^(I*a)) - I*x*e^(-I*a)*log(x - e^(I*a)) - I)/x","A",0
192,1,39,0,0.744093," ","integrate(cot(a+I*log(x))/x^3,x, algorithm=""fricas"")","\frac{{\left(-2 i \, x^{2} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right) + 4 i \, x^{2} \log\left(x\right) - i \, e^{\left(2 i \, a\right)}\right)} e^{\left(-2 i \, a\right)}}{2 \, x^{2}}"," ",0,"1/2*(-2*I*x^2*log(x^2 - e^(2*I*a)) + 4*I*x^2*log(x) - I*e^(2*I*a))*e^(-2*I*a)/x^2","A",0
193,1,55,0,0.593374," ","integrate(cot(a+I*log(x))/x^4,x, algorithm=""fricas"")","\frac{{\left(3 i \, x^{3} e^{\left(-i \, a\right)} \log\left(x + e^{\left(i \, a\right)}\right) - 3 i \, x^{3} e^{\left(-i \, a\right)} \log\left(x - e^{\left(i \, a\right)}\right) - 6 i \, x^{2} - i \, e^{\left(2 i \, a\right)}\right)} e^{\left(-2 i \, a\right)}}{3 \, x^{3}}"," ",0,"1/3*(3*I*x^3*e^(-I*a)*log(x + e^(I*a)) - 3*I*x^3*e^(-I*a)*log(x - e^(I*a)) - 6*I*x^2 - I*e^(2*I*a))*e^(-2*I*a)/x^3","A",0
194,1,70,0,0.592082," ","integrate(x^3*cot(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{6} + 7 \, x^{4} e^{\left(2 i \, a\right)} - 8 \, x^{2} e^{\left(4 i \, a\right)} + 16 \, {\left(x^{2} e^{\left(4 i \, a\right)} - e^{\left(6 i \, a\right)}\right)} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right) - 8 \, e^{\left(6 i \, a\right)}}{4 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}}"," ",0,"-1/4*(x^6 + 7*x^4*e^(2*I*a) - 8*x^2*e^(4*I*a) + 16*(x^2*e^(4*I*a) - e^(6*I*a))*log(x^2 - e^(2*I*a)) - 8*e^(6*I*a))/(x^2 - e^(2*I*a))","A",0
195,1,102,0,0.652931," ","integrate(x^2*cot(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{5} + 11 \, x^{3} e^{\left(2 i \, a\right)} - 9 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)} e^{\left(3 i \, a\right)} \log\left({\left(x e^{\left(2 i \, a\right)} + e^{\left(3 i \, a\right)}\right)} e^{\left(-2 i \, a\right)}\right) + 9 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)} e^{\left(3 i \, a\right)} \log\left({\left(x e^{\left(2 i \, a\right)} - e^{\left(3 i \, a\right)}\right)} e^{\left(-2 i \, a\right)}\right) - 18 \, x e^{\left(4 i \, a\right)}}{3 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}}"," ",0,"-1/3*(x^5 + 11*x^3*e^(2*I*a) - 9*(x^2 - e^(2*I*a))*e^(3*I*a)*log((x*e^(2*I*a) + e^(3*I*a))*e^(-2*I*a)) + 9*(x^2 - e^(2*I*a))*e^(3*I*a)*log((x*e^(2*I*a) - e^(3*I*a))*e^(-2*I*a)) - 18*x*e^(4*I*a))/(x^2 - e^(2*I*a))","B",0
196,1,61,0,0.983319," ","integrate(x*cot(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{4} - x^{2} e^{\left(2 i \, a\right)} + 4 \, {\left(x^{2} e^{\left(2 i \, a\right)} - e^{\left(4 i \, a\right)}\right)} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right) - 4 \, e^{\left(4 i \, a\right)}}{2 \, {\left(x^{2} - e^{\left(2 i \, a\right)}\right)}}"," ",0,"-1/2*(x^4 - x^2*e^(2*I*a) + 4*(x^2*e^(2*I*a) - e^(4*I*a))*log(x^2 - e^(2*I*a)) - 4*e^(4*I*a))/(x^2 - e^(2*I*a))","A",0
197,1,72,0,0.731815," ","integrate(cot(a+I*log(x))^2,x, algorithm=""fricas"")","-\frac{x^{3} - {\left(x^{2} - e^{\left(2 i \, a\right)}\right)} e^{\left(i \, a\right)} \log\left(x + e^{\left(i \, a\right)}\right) + {\left(x^{2} - e^{\left(2 i \, a\right)}\right)} e^{\left(i \, a\right)} \log\left(x - e^{\left(i \, a\right)}\right) - 3 \, x e^{\left(2 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}}"," ",0,"-(x^3 - (x^2 - e^(2*I*a))*e^(I*a)*log(x + e^(I*a)) + (x^2 - e^(2*I*a))*e^(I*a)*log(x - e^(I*a)) - 3*x*e^(2*I*a))/(x^2 - e^(2*I*a))","A",0
198,1,34,0,0.601677," ","integrate(cot(a+I*log(x))^2/x,x, algorithm=""fricas"")","-\frac{{\left(x^{2} - e^{\left(2 i \, a\right)}\right)} \log\left(x\right) - 2 \, e^{\left(2 i \, a\right)}}{x^{2} - e^{\left(2 i \, a\right)}}"," ",0,"-((x^2 - e^(2*I*a))*log(x) - 2*e^(2*I*a))/(x^2 - e^(2*I*a))","B",0
199,1,74,0,0.706676," ","integrate(cot(a+I*log(x))^2/x^2,x, algorithm=""fricas"")","-\frac{{\left(x^{3} - x e^{\left(2 i \, a\right)}\right)} e^{\left(-i \, a\right)} \log\left(x + e^{\left(i \, a\right)}\right) - {\left(x^{3} - x e^{\left(2 i \, a\right)}\right)} e^{\left(-i \, a\right)} \log\left(x - e^{\left(i \, a\right)}\right) - 3 \, x^{2} + e^{\left(2 i \, a\right)}}{x^{3} - x e^{\left(2 i \, a\right)}}"," ",0,"-((x^3 - x*e^(2*I*a))*e^(-I*a)*log(x + e^(I*a)) - (x^3 - x*e^(2*I*a))*e^(-I*a)*log(x - e^(I*a)) - 3*x^2 + e^(2*I*a))/(x^3 - x*e^(2*I*a))","A",0
200,1,81,0,0.700749," ","integrate(cot(a+I*log(x))^2/x^3,x, algorithm=""fricas"")","\frac{5 \, x^{2} e^{\left(2 i \, a\right)} + 4 \, {\left(x^{4} - x^{2} e^{\left(2 i \, a\right)}\right)} \log\left(x^{2} - e^{\left(2 i \, a\right)}\right) - 8 \, {\left(x^{4} - x^{2} e^{\left(2 i \, a\right)}\right)} \log\left(x\right) - e^{\left(4 i \, a\right)}}{2 \, {\left(x^{4} e^{\left(2 i \, a\right)} - x^{2} e^{\left(4 i \, a\right)}\right)}}"," ",0,"1/2*(5*x^2*e^(2*I*a) + 4*(x^4 - x^2*e^(2*I*a))*log(x^2 - e^(2*I*a)) - 8*(x^4 - x^2*e^(2*I*a))*log(x) - e^(4*I*a))/(x^4*e^(2*I*a) - x^2*e^(4*I*a))","A",0
201,0,0,0,0.564246," ","integrate((e*x)^m*cot(a+I*log(x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(i \, x^{2} + i \, e^{\left(2 i \, a\right)}\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{x^{2} - e^{\left(2 i \, a\right)}}, x\right)"," ",0,"integral(-(I*x^2 + I*e^(2*I*a))*e^(m*log(e) + m*log(x))/(x^2 - e^(2*I*a)), x)","F",0
202,0,0,0,0.663131," ","integrate((e*x)^m*cot(a+I*log(x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(x^{4} + 2 \, x^{2} e^{\left(2 i \, a\right)} + e^{\left(4 i \, a\right)}\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{x^{4} - 2 \, x^{2} e^{\left(2 i \, a\right)} + e^{\left(4 i \, a\right)}}, x\right)"," ",0,"integral(-(x^4 + 2*x^2*e^(2*I*a) + e^(4*I*a))*e^(m*log(e) + m*log(x))/(x^4 - 2*x^2*e^(2*I*a) + e^(4*I*a)), x)","F",0
203,0,0,0,1.653816," ","integrate((e*x)^m*cot(a+I*log(x))^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-i \, x^{6} - 3 i \, x^{4} e^{\left(2 i \, a\right)} - 3 i \, x^{2} e^{\left(4 i \, a\right)} - i \, e^{\left(6 i \, a\right)}\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{x^{6} - 3 \, x^{4} e^{\left(2 i \, a\right)} + 3 \, x^{2} e^{\left(4 i \, a\right)} - e^{\left(6 i \, a\right)}}, x\right)"," ",0,"integral(-(-I*x^6 - 3*I*x^4*e^(2*I*a) - 3*I*x^2*e^(4*I*a) - I*e^(6*I*a))*e^(m*log(e) + m*log(x))/(x^6 - 3*x^4*e^(2*I*a) + 3*x^2*e^(4*I*a) - e^(6*I*a)), x)","F",0
204,0,0,0,0.795784," ","integrate(cot(a+b*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\cot\left(b \log\left(x\right) + a\right)^{p}, x\right)"," ",0,"integral(cot(b*log(x) + a)^p, x)","F",0
205,0,0,0,1.148313," ","integrate((e*x)^m*cot(a+b*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \cot\left(b \log\left(x\right) + a\right)^{p}, x\right)"," ",0,"integral((e*x)^m*cot(b*log(x) + a)^p, x)","F",0
206,0,0,0,1.231190," ","integrate(cot(a+log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\cot\left(a + \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(cot(a + log(x))^p, x)","F",0
207,0,0,0,0.802979," ","integrate(cot(a+2*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\cot\left(a + 2 \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(cot(a + 2*log(x))^p, x)","F",0
208,0,0,0,1.683893," ","integrate(cot(a+3*log(x))^p,x, algorithm=""fricas"")","{\rm integral}\left(\cot\left(a + 3 \, \log\left(x\right)\right)^{p}, x\right)"," ",0,"integral(cot(a + 3*log(x))^p, x)","F",0
209,0,0,0,0.723695," ","integrate(x^3*cot(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \cot\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x^3*cot(b*d*log(c*x^n) + a*d), x)","F",0
210,0,0,0,2.050337," ","integrate(x^2*cot(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \cot\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x^2*cot(b*d*log(c*x^n) + a*d), x)","F",0
211,0,0,0,0.716790," ","integrate(x*cot(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(x \cot\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(x*cot(b*d*log(c*x^n) + a*d), x)","F",0
212,0,0,0,1.176171," ","integrate(cot(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(\cot\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral(cot(b*d*log(c*x^n) + a*d), x)","F",0
213,1,35,0,1.455657," ","integrate(cot(d*(a+b*log(c*x^n)))/x,x, algorithm=""fricas"")","\frac{\log\left(-\frac{1}{2} \, \cos\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right) + \frac{1}{2}\right)}{2 \, b d n}"," ",0,"1/2*log(-1/2*cos(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d) + 1/2)/(b*d*n)","A",0
214,0,0,0,0.610497," ","integrate(cot(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cot\left(b d \log\left(c x^{n}\right) + a d\right)}{x^{2}}, x\right)"," ",0,"integral(cot(b*d*log(c*x^n) + a*d)/x^2, x)","F",0
215,0,0,0,1.509693," ","integrate(cot(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cot\left(b d \log\left(c x^{n}\right) + a d\right)}{x^{3}}, x\right)"," ",0,"integral(cot(b*d*log(c*x^n) + a*d)/x^3, x)","F",0
216,0,0,0,0.535393," ","integrate(x^3*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \cot\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x^3*cot(b*d*log(c*x^n) + a*d)^2, x)","F",0
217,0,0,0,0.560382," ","integrate(x^2*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \cot\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x^2*cot(b*d*log(c*x^n) + a*d)^2, x)","F",0
218,0,0,0,1.652700," ","integrate(x*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(x \cot\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(x*cot(b*d*log(c*x^n) + a*d)^2, x)","F",0
219,0,0,0,0.625687," ","integrate(cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\cot\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral(cot(b*d*log(c*x^n) + a*d)^2, x)","F",0
220,1,78,0,0.770555," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""fricas"")","-\frac{b d n \log\left(x\right) \sin\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right) + \cos\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right) + 1}{b d n \sin\left(2 \, b d n \log\left(x\right) + 2 \, b d \log\left(c\right) + 2 \, a d\right)}"," ",0,"-(b*d*n*log(x)*sin(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d) + cos(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d) + 1)/(b*d*n*sin(2*b*d*n*log(x) + 2*b*d*log(c) + 2*a*d))","B",0
221,0,0,0,0.468244," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cot\left(b d \log\left(c x^{n}\right) + a d\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(cot(b*d*log(c*x^n) + a*d)^2/x^2, x)","F",0
222,0,0,0,1.440966," ","integrate(cot(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cot\left(b d \log\left(c x^{n}\right) + a d\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(cot(b*d*log(c*x^n) + a*d)^2/x^3, x)","F",0
223,1,70,0,0.738420," ","integrate(cot(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + \frac{1}{2}\right) - 2}{2 \, {\left(b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) - b n\right)}}"," ",0,"-1/2*((cos(2*b*n*log(x) + 2*b*log(c) + 2*a) - 1)*log(-1/2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1/2) - 2)/(b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) - b*n)","A",0
224,1,132,0,0.809504," ","integrate(cot(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{4 \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)^{2} + 3 \, {\left(b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) \log\left(x\right) - b n \log\left(x\right)\right)} \sin\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + 2 \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) - 2}{3 \, {\left(b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) - b n\right)} \sin\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)}"," ",0,"1/3*(4*cos(2*b*n*log(x) + 2*b*log(c) + 2*a)^2 + 3*(b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a)*log(x) - b*n*log(x))*sin(2*b*n*log(x) + 2*b*log(c) + 2*a) + 2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) - 2)/((b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) - b*n)*sin(2*b*n*log(x) + 2*b*log(c) + 2*a))","B",0
225,1,129,0,1.312967," ","integrate(cot(a+b*log(c*x^n))^5/x,x, algorithm=""fricas"")","\frac{{\left(\cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)^{2} - 2 \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + 1\right)} \log\left(-\frac{1}{2} \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + \frac{1}{2}\right) - 4 \, \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + 2}{2 \, {\left(b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right)^{2} - 2 \, b n \cos\left(2 \, b n \log\left(x\right) + 2 \, b \log\left(c\right) + 2 \, a\right) + b n\right)}}"," ",0,"1/2*((cos(2*b*n*log(x) + 2*b*log(c) + 2*a)^2 - 2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1)*log(-1/2*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 1/2) - 4*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + 2)/(b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a)^2 - 2*b*n*cos(2*b*n*log(x) + 2*b*log(c) + 2*a) + b*n)","B",0
226,0,0,0,0.424386," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \cot\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral((e*x)^m*cot(b*d*log(c*x^n) + a*d), x)","F",0
227,0,0,0,1.164855," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \cot\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral((e*x)^m*cot(b*d*log(c*x^n) + a*d)^2, x)","F",0
228,0,0,0,1.081729," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \cot\left(b d \log\left(c x^{n}\right) + a d\right)^{3}, x\right)"," ",0,"integral((e*x)^m*cot(b*d*log(c*x^n) + a*d)^3, x)","F",0
229,0,0,0,1.781679," ","integrate(cot(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\cot\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral(cot(b*d*log(c*x^n) + a*d)^p, x)","F",0
230,0,0,0,1.064327," ","integrate((e*x)^m*cot(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \cot\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral((e*x)^m*cot(b*d*log(c*x^n) + a*d)^p, x)","F",0
231,-2,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
232,-2,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
233,-2,0,0,0.000000," ","integrate(cot(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
234,-2,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
235,-2,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
236,-2,0,0,0.000000," ","integrate(1/x/cot(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
237,0,0,0,0.772514," ","integrate(x^2*sec(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \sec\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(x^2*sec(b*log(c*x^n) + a), x)","F",0
238,0,0,0,1.710671," ","integrate(x*sec(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(x \sec\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(x*sec(b*log(c*x^n) + a), x)","F",0
239,0,0,0,1.224407," ","integrate(sec(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(sec(b*log(c*x^n) + a), x)","F",0
240,1,43,0,2.861060," ","integrate(sec(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{\log\left(\sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right) - \log\left(-\sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)}{2 \, b n}"," ",0,"1/2*(log(sin(b*n*log(x) + b*log(c) + a) + 1) - log(-sin(b*n*log(x) + b*log(c) + a) + 1))/(b*n)","B",0
241,0,0,0,0.442557," ","integrate(sec(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)}{x^{2}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)/x^2, x)","F",0
242,0,0,0,0.535981," ","integrate(sec(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)}{x^{3}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)/x^3, x)","F",0
243,0,0,0,1.359826," ","integrate(x^2*sec(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \sec\left(b \log\left(c x^{n}\right) + a\right)^{2}, x\right)"," ",0,"integral(x^2*sec(b*log(c*x^n) + a)^2, x)","F",0
244,0,0,0,1.089521," ","integrate(x*sec(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(x \sec\left(b \log\left(c x^{n}\right) + a\right)^{2}, x\right)"," ",0,"integral(x*sec(b*log(c*x^n) + a)^2, x)","F",0
245,0,0,0,1.214901," ","integrate(sec(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b \log\left(c x^{n}\right) + a\right)^{2}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^2, x)","F",0
246,1,33,0,1.004329," ","integrate(sec(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{\sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}"," ",0,"sin(b*n*log(x) + b*log(c) + a)/(b*n*cos(b*n*log(x) + b*log(c) + a))","A",0
247,0,0,0,0.942721," ","integrate(sec(a+b*log(c*x^n))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^2/x^2, x)","F",0
248,0,0,0,0.900583," ","integrate(sec(a+b*log(c*x^n))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^2/x^3, x)","F",0
249,0,0,0,0.587840," ","integrate(x*sec(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(x \sec\left(b \log\left(c x^{n}\right) + a\right)^{3}, x\right)"," ",0,"integral(x*sec(b*log(c*x^n) + a)^3, x)","F",0
250,0,0,0,0.987685," ","integrate(sec(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b \log\left(c x^{n}\right) + a\right)^{3}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^3, x)","F",0
251,1,100,0,3.082353," ","integrate(sec(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","\frac{\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \log\left(\sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right) - \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} \log\left(-\sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right) + 2 \, \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{4 \, b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}}"," ",0,"1/4*(cos(b*n*log(x) + b*log(c) + a)^2*log(sin(b*n*log(x) + b*log(c) + a) + 1) - cos(b*n*log(x) + b*log(c) + a)^2*log(-sin(b*n*log(x) + b*log(c) + a) + 1) + 2*sin(b*n*log(x) + b*log(c) + a))/(b*n*cos(b*n*log(x) + b*log(c) + a)^2)","A",0
252,0,0,0,0.565966," ","integrate(sec(a+b*log(c*x^n))^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^3/x^2, x)","F",0
253,0,0,0,0.868998," ","integrate(sec(a+b*log(c*x^n))^3/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{3}}{x^{3}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^3/x^3, x)","F",0
254,0,0,0,0.642527," ","integrate(x*sec(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","{\rm integral}\left(x \sec\left(b \log\left(c x^{n}\right) + a\right)^{4}, x\right)"," ",0,"integral(x*sec(b*log(c*x^n) + a)^4, x)","F",0
255,0,0,0,0.758473," ","integrate(sec(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b \log\left(c x^{n}\right) + a\right)^{4}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^4, x)","F",0
256,1,52,0,0.803627," ","integrate(sec(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","\frac{{\left(2 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{3 \, b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3}}"," ",0,"1/3*(2*cos(b*n*log(x) + b*log(c) + a)^2 + 1)*sin(b*n*log(x) + b*log(c) + a)/(b*n*cos(b*n*log(x) + b*log(c) + a)^3)","A",0
257,0,0,0,2.029548," ","integrate(sec(a+b*log(c*x^n))^4/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x^{2}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^4/x^2, x)","F",0
258,0,0,0,0.526253," ","integrate(sec(a+b*log(c*x^n))^4/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{4}}{x^{3}}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^4/x^3, x)","F",0
259,1,47,0,3.983083," ","integrate(-(b^2*n^2+1)*sec(a+b*log(c*x^n))+2*b^2*n^2*sec(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{b n x \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2}}"," ",0,"(b*n*x*sin(b*n*log(x) + b*log(c) + a) - x*cos(b*n*log(x) + b*log(c) + a))/cos(b*n*log(x) + b*log(c) + a)^2","A",0
260,1,81,0,0.945222," ","integrate(x^m*sec(a+2*log(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x^{2} x^{2 \, m} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)}\right)}}{{\left(m + 1\right)} x^{4} x^{4 \, m} + 2 \, {\left(m + 1\right)} x^{2} x^{2 \, m} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} + {\left(m + 1\right)} e^{\left(4 i \, a + 8 i \, \log\left(c\right)\right)}}"," ",0,"-2*(2*x^2*x^(2*m)*e^(3*I*a + 6*I*log(c)) + e^(5*I*a + 10*I*log(c)))/((m + 1)*x^4*x^(4*m) + 2*(m + 1)*x^2*x^(2*m)*e^(2*I*a + 4*I*log(c)) + (m + 1)*e^(4*I*a + 8*I*log(c)))","C",0
261,1,55,0,0.806096," ","integrate(x*sec(a+2*log(c*x^I))^3,x, algorithm=""fricas"")","-\frac{2 \, x^{4} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)}}{x^{8} + 2 \, x^{4} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} + e^{\left(4 i \, a + 8 i \, \log\left(c\right)\right)}}"," ",0,"-(2*x^4*e^(3*I*a + 6*I*log(c)) + e^(5*I*a + 10*I*log(c)))/(x^8 + 2*x^4*e^(2*I*a + 4*I*log(c)) + e^(4*I*a + 8*I*log(c)))","A",0
262,1,55,0,1.665020," ","integrate(sec(a+2*log(c*x^(1/2*I)))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x^{2} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)}\right)}}{x^{4} + 2 \, x^{2} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} + e^{\left(4 i \, a + 8 i \, \log\left(c\right)\right)}}"," ",0,"-2*(2*x^2*e^(3*I*a + 6*I*log(c)) + e^(5*I*a + 10*I*log(c)))/(x^4 + 2*x^2*e^(2*I*a + 4*I*log(c)) + e^(4*I*a + 8*I*log(c)))","A",0
263,1,57,0,0.799160," ","integrate(sec(a+2*log(c/(x^(1/2*I))))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x^{2} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} + 1\right)}}{x^{4} e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)} + 2 \, x^{2} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + e^{\left(i \, a + 2 i \, \log\left(c\right)\right)}}"," ",0,"-2*(2*x^2*e^(2*I*a + 4*I*log(c)) + 1)/(x^4*e^(5*I*a + 10*I*log(c)) + 2*x^2*e^(3*I*a + 6*I*log(c)) + e^(I*a + 2*I*log(c)))","B",0
264,1,149,0,2.361914," ","integrate(sec(a+I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""fricas"")","\frac{{\left({\left(p - 2\right)} x e^{\left(\frac{2 \, {\left(i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} + {\left(p - 2\right)} x\right)} \left(\frac{2 \, e^{\left(\frac{i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)}}{e^{\left(\frac{2 \, {\left(i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} + 1}\right)^{p} e^{\left(-\frac{2 \, {\left(i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)}}{2 \, {\left(p - 1\right)}}"," ",0,"1/2*((p - 2)*x*e^(2*(I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) + (p - 2)*x)*(2*e^((I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(e^(2*(I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) + 1))^p*e^(-2*(I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(p - 1)","A",0
265,1,149,0,0.647763," ","integrate(sec(a-I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""fricas"")","\frac{{\left({\left(p - 2\right)} x e^{\left(\frac{2 \, {\left(-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} + {\left(p - 2\right)} x\right)} \left(\frac{2 \, e^{\left(\frac{-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)}}{e^{\left(\frac{2 \, {\left(-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} + 1}\right)^{p} e^{\left(-\frac{2 \, {\left(-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)}}{2 \, {\left(p - 1\right)}}"," ",0,"1/2*((p - 2)*x*e^(2*(-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) + (p - 2)*x)*(2*e^((-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(e^(2*(-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) + 1))^p*e^(-2*(-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(p - 1)","B",0
266,-2,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
267,0,0,0,1.163771," ","integrate(sec(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(sec(b*log(c*x^n) + a))/x, x)","F",0
268,-2,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
269,0,0,0,0.468475," ","integrate(sec(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
270,-2,0,0,0.000000," ","integrate(sec(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
271,0,0,0,1.329911," ","integrate(sec(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
272,-2,0,0,0.000000," ","integrate(1/sec(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
273,0,0,0,1.604535," ","integrate(1/x/sec(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sqrt{\sec\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(1/(x*sqrt(sec(b*log(c*x^n) + a))), x)","F",0
274,-2,0,0,0.000000," ","integrate(1/sec(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
275,0,0,0,0.832708," ","integrate(1/x/sec(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(1/(x*sec(b*log(c*x^n) + a)^(3/2)), x)","F",0
276,-2,0,0,0.000000," ","integrate(1/sec(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
277,0,0,0,1.001783," ","integrate(1/x/sec(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sec\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(1/(x*sec(b*log(c*x^n) + a)^(5/2)), x)","F",0
278,0,0,0,1.394116," ","integrate(x^m*sec(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right)^{3}, x\right)"," ",0,"integral(x^m*sec(b*log(c*x^n) + a)^3, x)","F",0
279,0,0,0,1.618777," ","integrate(x^m*sec(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right)^{2}, x\right)"," ",0,"integral(x^m*sec(b*log(c*x^n) + a)^2, x)","F",0
280,0,0,0,0.985208," ","integrate(x^m*sec(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \sec\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(x^m*sec(b*log(c*x^n) + a), x)","F",0
281,-2,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
282,-2,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
283,-2,0,0,0.000000," ","integrate(x^m*sec(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
284,-2,0,0,0.000000," ","integrate(x^m/sec(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
285,-2,0,0,0.000000," ","integrate(x^m/sec(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
286,0,0,0,0.535729," ","integrate((e*x)^m*sec(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sec\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral((e*x)^m*sec(b*d*log(c*x^n) + a*d)^p, x)","F",0
287,0,0,0,0.557947," ","integrate(x*sec(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(x \sec\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(x*sec(b*log(c*x^n) + a)^p, x)","F",0
288,0,0,0,0.656602," ","integrate(sec(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\sec\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(sec(b*log(c*x^n) + a)^p, x)","F",0
289,0,0,0,0.742893," ","integrate(x^2*csc(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \csc\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(x^2*csc(b*log(c*x^n) + a), x)","F",0
290,0,0,0,0.478015," ","integrate(x*csc(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(x \csc\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(x*csc(b*log(c*x^n) + a), x)","F",0
291,0,0,0,1.661089," ","integrate(csc(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\csc\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(csc(b*log(c*x^n) + a), x)","F",0
292,1,45,0,0.433365," ","integrate(csc(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","-\frac{\log\left(\frac{1}{2} \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \frac{1}{2}\right) - \log\left(-\frac{1}{2} \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \frac{1}{2}\right)}{2 \, b n}"," ",0,"-1/2*(log(1/2*cos(b*n*log(x) + b*log(c) + a) + 1/2) - log(-1/2*cos(b*n*log(x) + b*log(c) + a) + 1/2))/(b*n)","B",0
293,0,0,0,0.906918," ","integrate(csc(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\csc\left(b \log\left(c x^{n}\right) + a\right)}{x^{2}}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)/x^2, x)","F",0
294,0,0,0,0.858786," ","integrate(csc(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\csc\left(b \log\left(c x^{n}\right) + a\right)}{x^{3}}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)/x^3, x)","F",0
295,0,0,0,0.962701," ","integrate(csc(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\csc\left(b \log\left(c x^{n}\right) + a\right)^{2}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)^2, x)","F",0
296,1,34,0,1.306795," ","integrate(csc(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","-\frac{\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}"," ",0,"-cos(b*n*log(x) + b*log(c) + a)/(b*n*sin(b*n*log(x) + b*log(c) + a))","A",0
297,0,0,0,0.496788," ","integrate(csc(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(\csc\left(b \log\left(c x^{n}\right) + a\right)^{3}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)^3, x)","F",0
298,1,110,0,0.891484," ","integrate(csc(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \frac{1}{2}\right) - {\left(\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \frac{1}{2}\right) - 2 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{4 \, {\left(b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n\right)}}"," ",0,"-1/4*((cos(b*n*log(x) + b*log(c) + a)^2 - 1)*log(1/2*cos(b*n*log(x) + b*log(c) + a) + 1/2) - (cos(b*n*log(x) + b*log(c) + a)^2 - 1)*log(-1/2*cos(b*n*log(x) + b*log(c) + a) + 1/2) - 2*cos(b*n*log(x) + b*log(c) + a))/(b*n*cos(b*n*log(x) + b*log(c) + a)^2 - b*n)","B",0
299,0,0,0,0.599859," ","integrate(csc(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","{\rm integral}\left(\csc\left(b \log\left(c x^{n}\right) + a\right)^{4}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)^4, x)","F",0
300,1,71,0,0.666756," ","integrate(csc(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{3 \, {\left(b n \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n\right)} \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}"," ",0,"-1/3*(2*cos(b*n*log(x) + b*log(c) + a)^3 - 3*cos(b*n*log(x) + b*log(c) + a))/((b*n*cos(b*n*log(x) + b*log(c) + a)^2 - b*n)*sin(b*n*log(x) + b*log(c) + a))","A",0
301,1,50,0,3.563733," ","integrate(-(b^2*n^2+1)*csc(a+b*log(c*x^n))+2*b^2*n^2*csc(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","\frac{b n x \cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + x \sin\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{\cos\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1}"," ",0,"(b*n*x*cos(b*n*log(x) + b*log(c) + a) + x*sin(b*n*log(x) + b*log(c) + a))/(cos(b*n*log(x) + b*log(c) + a)^2 - 1)","A",0
302,1,82,0,0.707157," ","integrate(x^m*csc(a+2*log(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x, algorithm=""fricas"")","\frac{-4 i \, x^{2} x^{2 \, m} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + 2 i \, e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)}}{{\left(m + 1\right)} x^{4} x^{4 \, m} - 2 \, {\left(m + 1\right)} x^{2} x^{2 \, m} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} + {\left(m + 1\right)} e^{\left(4 i \, a + 8 i \, \log\left(c\right)\right)}}"," ",0,"(-4*I*x^2*x^(2*m)*e^(3*I*a + 6*I*log(c)) + 2*I*e^(5*I*a + 10*I*log(c)))/((m + 1)*x^4*x^(4*m) - 2*(m + 1)*x^2*x^(2*m)*e^(2*I*a + 4*I*log(c)) + (m + 1)*e^(4*I*a + 8*I*log(c)))","C",0
303,1,56,0,0.882961," ","integrate(x*csc(a+2*log(c*x^I))^3,x, algorithm=""fricas"")","\frac{-2 i \, x^{4} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + i \, e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)}}{x^{8} - 2 \, x^{4} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} + e^{\left(4 i \, a + 8 i \, \log\left(c\right)\right)}}"," ",0,"(-2*I*x^4*e^(3*I*a + 6*I*log(c)) + I*e^(5*I*a + 10*I*log(c)))/(x^8 - 2*x^4*e^(2*I*a + 4*I*log(c)) + e^(4*I*a + 8*I*log(c)))","A",0
304,1,56,0,1.120173," ","integrate(csc(a+2*log(c*x^(1/2*I)))^3,x, algorithm=""fricas"")","\frac{-4 i \, x^{2} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + 2 i \, e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)}}{x^{4} - 2 \, x^{2} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} + e^{\left(4 i \, a + 8 i \, \log\left(c\right)\right)}}"," ",0,"(-4*I*x^2*e^(3*I*a + 6*I*log(c)) + 2*I*e^(5*I*a + 10*I*log(c)))/(x^4 - 2*x^2*e^(2*I*a + 4*I*log(c)) + e^(4*I*a + 8*I*log(c)))","A",0
305,1,56,0,1.456937," ","integrate(csc(a+2*log(c/(x^(1/2*I))))^3,x, algorithm=""fricas"")","\frac{4 i \, x^{2} e^{\left(2 i \, a + 4 i \, \log\left(c\right)\right)} - 2 i}{x^{4} e^{\left(5 i \, a + 10 i \, \log\left(c\right)\right)} - 2 \, x^{2} e^{\left(3 i \, a + 6 i \, \log\left(c\right)\right)} + e^{\left(i \, a + 2 i \, \log\left(c\right)\right)}}"," ",0,"(4*I*x^2*e^(2*I*a + 4*I*log(c)) - 2*I)/(x^4*e^(5*I*a + 10*I*log(c)) - 2*x^2*e^(3*I*a + 6*I*log(c)) + e^(I*a + 2*I*log(c)))","B",0
306,1,150,0,0.952584," ","integrate(csc(a+I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""fricas"")","\frac{{\left({\left(p - 2\right)} x e^{\left(\frac{2 \, {\left(i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} - {\left(p - 2\right)} x\right)} \left(\frac{2 i \, e^{\left(\frac{i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)}}{e^{\left(\frac{2 \, {\left(i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} - 1}\right)^{p} e^{\left(-\frac{2 \, {\left(i \, a n p - 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)}}{2 \, {\left(p - 1\right)}}"," ",0,"1/2*((p - 2)*x*e^(2*(I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) - (p - 2)*x)*(2*I*e^((I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(e^(2*(I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) - 1))^p*e^(-2*(I*a*n*p - 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(p - 1)","A",0
307,1,150,0,0.831703," ","integrate(csc(a-I*log(c*x^n)/n/(-2+p))^p,x, algorithm=""fricas"")","\frac{{\left({\left(p - 2\right)} x e^{\left(\frac{2 \, {\left(-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} - {\left(p - 2\right)} x\right)} \left(-\frac{2 i \, e^{\left(\frac{-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)}}{e^{\left(\frac{2 \, {\left(-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)} - 1}\right)^{p} e^{\left(-\frac{2 \, {\left(-i \, a n p + 2 i \, a n - n \log\left(x\right) - \log\left(c\right)\right)}}{n p - 2 \, n}\right)}}{2 \, {\left(p - 1\right)}}"," ",0,"1/2*((p - 2)*x*e^(2*(-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) - (p - 2)*x)*(-2*I*e^((-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(e^(2*(-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n)) - 1))^p*e^(-2*(-I*a*n*p + 2*I*a*n - n*log(x) - log(c))/(n*p - 2*n))/(p - 1)","B",0
308,-2,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
309,0,0,0,0.541835," ","integrate(csc(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(csc(b*log(c*x^n) + a))/x, x)","F",0
310,-2,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
311,0,0,0,1.957631," ","integrate(csc(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
312,-2,0,0,0.000000," ","integrate(csc(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
313,0,0,0,1.078847," ","integrate(csc(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
314,-2,0,0,0.000000," ","integrate(1/csc(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
315,0,0,0,0.811083," ","integrate(1/x/csc(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sqrt{\csc\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(1/(x*sqrt(csc(b*log(c*x^n) + a))), x)","F",0
316,-2,0,0,0.000000," ","integrate(1/csc(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
317,0,0,0,0.548613," ","integrate(1/x/csc(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(1/(x*csc(b*log(c*x^n) + a)^(3/2)), x)","F",0
318,-2,0,0,0.000000," ","integrate(1/csc(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
319,0,0,0,0.563835," ","integrate(1/x/csc(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \csc\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(1/(x*csc(b*log(c*x^n) + a)^(5/2)), x)","F",0
320,0,0,0,0.845211," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \csc\left(b d \log\left(c x^{n}\right) + a d\right)^{3}, x\right)"," ",0,"integral((e*x)^m*csc(b*d*log(c*x^n) + a*d)^3, x)","F",0
321,0,0,0,0.973649," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \csc\left(b d \log\left(c x^{n}\right) + a d\right)^{2}, x\right)"," ",0,"integral((e*x)^m*csc(b*d*log(c*x^n) + a*d)^2, x)","F",0
322,0,0,0,0.676820," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n))),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \csc\left(b d \log\left(c x^{n}\right) + a d\right), x\right)"," ",0,"integral((e*x)^m*csc(b*d*log(c*x^n) + a*d), x)","F",0
323,-2,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
324,-2,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
325,-2,0,0,0.000000," ","integrate(x^m*csc(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
326,-2,0,0,0.000000," ","integrate(x^m/csc(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
327,-2,0,0,0.000000," ","integrate(x^m/csc(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
328,0,0,0,0.639918," ","integrate((e*x)^m*csc(d*(a+b*log(c*x^n)))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \csc\left(b d \log\left(c x^{n}\right) + a d\right)^{p}, x\right)"," ",0,"integral((e*x)^m*csc(b*d*log(c*x^n) + a*d)^p, x)","F",0
329,0,0,0,0.848017," ","integrate(x*csc(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(x \csc\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(x*csc(b*log(c*x^n) + a)^p, x)","F",0
330,0,0,0,0.556906," ","integrate(csc(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\csc\left(b \log\left(c x^{n}\right) + a\right)^{p}, x\right)"," ",0,"integral(csc(b*log(c*x^n) + a)^p, x)","F",0
