1,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sin(e*x+d)^n,x, algorithm=""maxima"")","\int F^{{\left(b x + a\right)} c} \sin\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sin(e*x + d)^n, x)","F",0
2,1,813,0,0.486701," ","integrate(F^(c*(b*x+a))*sin(e*x+d)^3,x, algorithm=""maxima"")","-\frac{{\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) - 3 \, F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) - 3 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \cos\left(3 \, e x\right) - {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) + 3 \, F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) + 3 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \cos\left(3 \, e x + 6 \, d\right) + 3 \, {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) + F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + 9 \, F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) + 9 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \cos\left(e x + 4 \, d\right) - 3 \, {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) - F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + 9 \, F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) - 9 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \cos\left(e x - 2 \, d\right) + {\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} + 3 \, F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) + 3 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \sin\left(3 \, e x\right) + {\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} - 3 \, F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) - 3 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \sin\left(3 \, e x + 6 \, d\right) - 3 \, {\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} - F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + 9 \, F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) - 9 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \sin\left(e x + 4 \, d\right) - 3 \, {\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} + F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + 9 \, F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) + 9 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \sin\left(e x - 2 \, d\right)}{8 \, {\left(b^{4} c^{4} \cos\left(3 \, d\right)^{2} \log\left(F\right)^{4} + b^{4} c^{4} \log\left(F\right)^{4} \sin\left(3 \, d\right)^{2} + 9 \, {\left(\cos\left(3 \, d\right)^{2} + \sin\left(3 \, d\right)^{2}\right)} e^{4} + 10 \, {\left(b^{2} c^{2} \cos\left(3 \, d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(3 \, d\right)^{2}\right)} e^{2}\right)}}"," ",0,"-1/8*((F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) - 3*F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(3*d) - 3*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*cos(3*e*x) - (F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) + 3*F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(3*d) + 3*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*cos(3*e*x + 6*d) + 3*(F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) + F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + 9*F^(a*c)*b*c*e^2*log(F)*sin(3*d) + 9*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*cos(e*x + 4*d) - 3*(F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) - F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + 9*F^(a*c)*b*c*e^2*log(F)*sin(3*d) - 9*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*cos(e*x - 2*d) + (F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 + 3*F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + F^(a*c)*b*c*e^2*cos(3*d)*log(F) + 3*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*sin(3*e*x) + (F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 - 3*F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + F^(a*c)*b*c*e^2*cos(3*d)*log(F) - 3*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*sin(3*e*x + 6*d) - 3*(F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 - F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + 9*F^(a*c)*b*c*e^2*cos(3*d)*log(F) - 9*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*sin(e*x + 4*d) - 3*(F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 + F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + 9*F^(a*c)*b*c*e^2*cos(3*d)*log(F) + 9*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*sin(e*x - 2*d))/(b^4*c^4*cos(3*d)^2*log(F)^4 + b^4*c^4*log(F)^4*sin(3*d)^2 + 9*(cos(3*d)^2 + sin(3*d)^2)*e^4 + 10*(b^2*c^2*cos(3*d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(3*d)^2)*e^2)","B",0
3,1,356,0,0.413077," ","integrate(F^(c*(b*x+a))*sin(e*x+d)^2,x, algorithm=""maxima"")","-\frac{{\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} + 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} - 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x + 4 \, d\right) - {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) - 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) + 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x + 4 \, d\right) - 2 \, {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{2} + F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right)^{2} + 4 \, {\left(F^{a c} \cos\left(2 \, d\right)^{2} + F^{a c} \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)} F^{b c x}}{4 \, {\left(b^{3} c^{3} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{3} + b^{3} c^{3} \log\left(F\right)^{3} \sin\left(2 \, d\right)^{2} + 4 \, {\left(b c \cos\left(2 \, d\right)^{2} \log\left(F\right) + b c \log\left(F\right) \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)}}"," ",0,"-1/4*((F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 + 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x) + (F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 - 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x + 4*d) - (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) - 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x) + (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) + 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x + 4*d) - 2*(F^(a*c)*b^2*c^2*cos(2*d)^2*log(F)^2 + F^(a*c)*b^2*c^2*log(F)^2*sin(2*d)^2 + 4*(F^(a*c)*cos(2*d)^2 + F^(a*c)*sin(2*d)^2)*e^2)*F^(b*c*x))/(b^3*c^3*cos(2*d)^2*log(F)^3 + b^3*c^3*log(F)^3*sin(2*d)^2 + 4*(b*c*cos(2*d)^2*log(F) + b*c*log(F)*sin(2*d)^2)*e^2)","B",0
4,1,194,0,1.131091," ","integrate(F^(c*(b*x+a))*sin(e*x+d),x, algorithm=""maxima"")","-\frac{{\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x\right)}{2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}\right)}}"," ",0,"-1/2*((F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x) - (F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x))/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2)","B",0
5,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,1,37,0,0.317607," ","integrate(exp(x)*sin(x)^4,x, algorithm=""maxima"")","\frac{1}{136} \, \cos\left(4 \, x\right) e^{x} - \frac{1}{10} \, \cos\left(2 \, x\right) e^{x} + \frac{1}{34} \, e^{x} \sin\left(4 \, x\right) - \frac{1}{5} \, e^{x} \sin\left(2 \, x\right) + \frac{3}{8} \, e^{x}"," ",0,"1/136*cos(4*x)*e^x - 1/10*cos(2*x)*e^x + 1/34*e^x*sin(4*x) - 1/5*e^x*sin(2*x) + 3/8*e^x","A",0
10,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*cos(e*x+d)^n,x, algorithm=""maxima"")","\int F^{{\left(b x + a\right)} c} \cos\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*cos(e*x + d)^n, x)","F",0
11,1,813,0,0.387236," ","integrate(F^(c*(b*x+a))*cos(e*x+d)^3,x, algorithm=""maxima"")","\frac{{\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} + 3 \, F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) + 3 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \cos\left(3 \, e x\right) + {\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} - 3 \, F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) - 3 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \cos\left(3 \, e x + 6 \, d\right) + 3 \, {\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} - F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + 9 \, F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) - 9 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \cos\left(e x + 4 \, d\right) + 3 \, {\left(F^{a c} b^{3} c^{3} \cos\left(3 \, d\right) \log\left(F\right)^{3} + F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(3 \, d\right) + 9 \, F^{a c} b c e^{2} \cos\left(3 \, d\right) \log\left(F\right) + 9 \, F^{a c} e^{3} \sin\left(3 \, d\right)\right)} F^{b c x} \cos\left(e x - 2 \, d\right) - {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) - 3 \, F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) - 3 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \sin\left(3 \, e x\right) + {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) + 3 \, F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) + 3 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \sin\left(3 \, e x + 6 \, d\right) + 3 \, {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) + F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + 9 \, F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) + 9 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \sin\left(e x + 4 \, d\right) - 3 \, {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(3 \, d\right) - F^{a c} b^{2} c^{2} e \cos\left(3 \, d\right) \log\left(F\right)^{2} + 9 \, F^{a c} b c e^{2} \log\left(F\right) \sin\left(3 \, d\right) - 9 \, F^{a c} e^{3} \cos\left(3 \, d\right)\right)} F^{b c x} \sin\left(e x - 2 \, d\right)}{8 \, {\left(b^{4} c^{4} \cos\left(3 \, d\right)^{2} \log\left(F\right)^{4} + b^{4} c^{4} \log\left(F\right)^{4} \sin\left(3 \, d\right)^{2} + 9 \, {\left(\cos\left(3 \, d\right)^{2} + \sin\left(3 \, d\right)^{2}\right)} e^{4} + 10 \, {\left(b^{2} c^{2} \cos\left(3 \, d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(3 \, d\right)^{2}\right)} e^{2}\right)}}"," ",0,"1/8*((F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 + 3*F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + F^(a*c)*b*c*e^2*cos(3*d)*log(F) + 3*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*cos(3*e*x) + (F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 - 3*F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + F^(a*c)*b*c*e^2*cos(3*d)*log(F) - 3*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*cos(3*e*x + 6*d) + 3*(F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 - F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + 9*F^(a*c)*b*c*e^2*cos(3*d)*log(F) - 9*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*cos(e*x + 4*d) + 3*(F^(a*c)*b^3*c^3*cos(3*d)*log(F)^3 + F^(a*c)*b^2*c^2*e*log(F)^2*sin(3*d) + 9*F^(a*c)*b*c*e^2*cos(3*d)*log(F) + 9*F^(a*c)*e^3*sin(3*d))*F^(b*c*x)*cos(e*x - 2*d) - (F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) - 3*F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(3*d) - 3*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*sin(3*e*x) + (F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) + 3*F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(3*d) + 3*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*sin(3*e*x + 6*d) + 3*(F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) + F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + 9*F^(a*c)*b*c*e^2*log(F)*sin(3*d) + 9*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*sin(e*x + 4*d) - 3*(F^(a*c)*b^3*c^3*log(F)^3*sin(3*d) - F^(a*c)*b^2*c^2*e*cos(3*d)*log(F)^2 + 9*F^(a*c)*b*c*e^2*log(F)*sin(3*d) - 9*F^(a*c)*e^3*cos(3*d))*F^(b*c*x)*sin(e*x - 2*d))/(b^4*c^4*cos(3*d)^2*log(F)^4 + b^4*c^4*log(F)^4*sin(3*d)^2 + 9*(cos(3*d)^2 + sin(3*d)^2)*e^4 + 10*(b^2*c^2*cos(3*d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(3*d)^2)*e^2)","B",0
12,1,356,0,0.348311," ","integrate(F^(c*(b*x+a))*cos(e*x+d)^2,x, algorithm=""maxima"")","\frac{{\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} + 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} - 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x + 4 \, d\right) - {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) - 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) + 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x + 4 \, d\right) + 2 \, {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{2} + F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right)^{2} + 4 \, {\left(F^{a c} \cos\left(2 \, d\right)^{2} + F^{a c} \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)} F^{b c x}}{4 \, {\left(b^{3} c^{3} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{3} + b^{3} c^{3} \log\left(F\right)^{3} \sin\left(2 \, d\right)^{2} + 4 \, {\left(b c \cos\left(2 \, d\right)^{2} \log\left(F\right) + b c \log\left(F\right) \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)}}"," ",0,"1/4*((F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 + 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x) + (F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 - 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x + 4*d) - (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) - 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x) + (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) + 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x + 4*d) + 2*(F^(a*c)*b^2*c^2*cos(2*d)^2*log(F)^2 + F^(a*c)*b^2*c^2*log(F)^2*sin(2*d)^2 + 4*(F^(a*c)*cos(2*d)^2 + F^(a*c)*sin(2*d)^2)*e^2)*F^(b*c*x))/(b^3*c^3*cos(2*d)^2*log(F)^3 + b^3*c^3*log(F)^3*sin(2*d)^2 + 4*(b*c*cos(2*d)^2*log(F) + b*c*log(F)*sin(2*d)^2)*e^2)","B",0
13,1,192,0,0.338078," ","integrate(F^(c*(b*x+a))*cos(e*x+d),x, algorithm=""maxima"")","\frac{{\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) + {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x\right) + {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x\right)}{2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}\right)}}"," ",0,"1/2*((F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x + 2*d) + (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x) + (F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x))/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2)","B",0
14,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,1,37,0,0.326805," ","integrate(exp(x)*cos(x)^4,x, algorithm=""maxima"")","\frac{1}{136} \, \cos\left(4 \, x\right) e^{x} + \frac{1}{10} \, \cos\left(2 \, x\right) e^{x} + \frac{1}{34} \, e^{x} \sin\left(4 \, x\right) + \frac{1}{5} \, e^{x} \sin\left(2 \, x\right) + \frac{3}{8} \, e^{x}"," ",0,"1/136*cos(4*x)*e^x + 1/10*cos(2*x)*e^x + 1/34*e^x*sin(4*x) + 1/5*e^x*sin(2*x) + 3/8*e^x","A",0
19,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tan(e*x+d)^3,x, algorithm=""maxima"")","\frac{4 \, e \cos\left(2 \, e x + 2 \, d\right)^{2} e^{\left(b c x + a c\right)} - b c e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right) + 4 \, e e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, e \cos\left(2 \, e x + 2 \, d\right) e^{\left(b c x + a c\right)} + {\left(b c e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right) + 2 \, e \cos\left(2 \, e x + 2 \, d\right) e^{\left(b c x + a c\right)}\right)} \cos\left(4 \, e x + 4 \, d\right) - {\left(b c \cos\left(2 \, e x + 2 \, d\right) e^{\left(b c x + a c\right)} + b c e^{\left(b c x + a c\right)} - 2 \, e e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right)\right)} \sin\left(4 \, e x + 4 \, d\right) + \frac{{\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)} + {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(4 \, e x + 4 \, d\right)^{2} + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)^{2} + {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(4 \, e x + 4 \, d\right)^{2} + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(4 \, e x + 4 \, d\right) \sin\left(2 \, e x + 2 \, d\right) + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)} + 2 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)\right)} \cos\left(4 \, e x + 4 \, d\right) + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)\right)} \int \frac{e^{\left(b c x\right)} \sin\left(2 \, e x + 2 \, d\right)}{\cos\left(2 \, e x + 2 \, d\right)^{2} + \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, \cos\left(2 \, e x + 2 \, d\right) + 1}\,{d x}}{e^{4}}}{e^{2} \cos\left(4 \, e x + 4 \, d\right)^{2} + 4 \, e^{2} \cos\left(2 \, e x + 2 \, d\right)^{2} + e^{2} \sin\left(4 \, e x + 4 \, d\right)^{2} + 4 \, e^{2} \sin\left(4 \, e x + 4 \, d\right) \sin\left(2 \, e x + 2 \, d\right) + 4 \, e^{2} \sin\left(2 \, e x + 2 \, d\right)^{2} + 4 \, e^{2} \cos\left(2 \, e x + 2 \, d\right) + e^{2} + 2 \, {\left(2 \, e^{2} \cos\left(2 \, e x + 2 \, d\right) + e^{2}\right)} \cos\left(4 \, e x + 4 \, d\right)}"," ",0,"(4*e*cos(2*e*x + 2*d)^2*e^(b*c*x + a*c) - b*c*e^(b*c*x + a*c)*sin(2*e*x + 2*d) + 4*e*e^(b*c*x + a*c)*sin(2*e*x + 2*d)^2 + 2*e*cos(2*e*x + 2*d)*e^(b*c*x + a*c) + (b*c*e^(b*c*x + a*c)*sin(2*e*x + 2*d) + 2*e*cos(2*e*x + 2*d)*e^(b*c*x + a*c))*cos(4*e*x + 4*d) + (b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c) + (b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(4*e*x + 4*d)^2 + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d)^2 + (b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(4*e*x + 4*d)^2 + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(4*e*x + 4*d)*sin(2*e*x + 2*d) + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(2*e*x + 2*d)^2 + 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c) + 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d))*cos(4*e*x + 4*d) + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d))*integrate(e^(b*c*x)*sin(2*e*x + 2*d)/(e^4*cos(2*e*x + 2*d)^2 + e^4*sin(2*e*x + 2*d)^2 + 2*e^4*cos(2*e*x + 2*d) + e^4), x) - (b*c*cos(2*e*x + 2*d)*e^(b*c*x + a*c) + b*c*e^(b*c*x + a*c) - 2*e*e^(b*c*x + a*c)*sin(2*e*x + 2*d))*sin(4*e*x + 4*d))/(e^2*cos(4*e*x + 4*d)^2 + 4*e^2*cos(2*e*x + 2*d)^2 + e^2*sin(4*e*x + 4*d)^2 + 4*e^2*sin(4*e*x + 4*d)*sin(2*e*x + 2*d) + 4*e^2*sin(2*e*x + 2*d)^2 + 4*e^2*cos(2*e*x + 2*d) + e^2 + 2*(2*e^2*cos(2*e*x + 2*d) + e^2)*cos(4*e*x + 4*d))","F",0
20,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tan(e*x+d)^2,x, algorithm=""maxima"")","-\frac{e \cos\left(2 \, e x + 2 \, d\right)^{2} e^{\left(b c x + a c\right)} - 2 \, b c e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right) + e e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, e \cos\left(2 \, e x + 2 \, d\right) e^{\left(b c x + a c\right)} + e e^{\left(b c x + a c\right)} + \frac{2 \, {\left(b^{2} c^{2} e^{2} \cos\left(2 \, e x + 2 \, d\right)^{2} + b^{2} c^{2} e^{2} \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, b^{2} c^{2} e^{2} \cos\left(2 \, e x + 2 \, d\right) + b^{2} c^{2} e^{2}\right)} e^{\left(a c\right)} \int \frac{e^{\left(b c x\right)} \sin\left(2 \, e x + 2 \, d\right)}{\cos\left(2 \, e x + 2 \, d\right)^{2} + \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, \cos\left(2 \, e x + 2 \, d\right) + 1}\,{d x}}{e^{2}}}{b c e \cos\left(2 \, e x + 2 \, d\right)^{2} + b c e \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, b c e \cos\left(2 \, e x + 2 \, d\right) + b c e}"," ",0,"-(e*cos(2*e*x + 2*d)^2*e^(b*c*x + a*c) - 2*b*c*e^(b*c*x + a*c)*sin(2*e*x + 2*d) + e*e^(b*c*x + a*c)*sin(2*e*x + 2*d)^2 + 2*e*cos(2*e*x + 2*d)*e^(b*c*x + a*c) + e*e^(b*c*x + a*c) + 2*(b^2*c^2*e^2*cos(2*e*x + 2*d)^2 + b^2*c^2*e^2*sin(2*e*x + 2*d)^2 + 2*b^2*c^2*e^2*cos(2*e*x + 2*d) + b^2*c^2*e^2)*integrate(e^(b*c*x + a*c)*sin(2*e*x + 2*d)/(e^2*cos(2*e*x + 2*d)^2 + e^2*sin(2*e*x + 2*d)^2 + 2*e^2*cos(2*e*x + 2*d) + e^2), x))/(b*c*e*cos(2*e*x + 2*d)^2 + b*c*e*sin(2*e*x + 2*d)^2 + 2*b*c*e*cos(2*e*x + 2*d) + b*c*e)","F",0
21,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tan(e*x+d),x, algorithm=""maxima"")","\int e^{\left({\left(b x + a\right)} c\right)} \tan\left(e x + d\right)\,{d x}"," ",0,"integrate(e^((b*x + a)*c)*tan(e*x + d), x)","F",0
22,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*cot(e*x+d),x, algorithm=""maxima"")","\int \cot\left(e x + d\right) e^{\left({\left(b x + a\right)} c\right)}\,{d x}"," ",0,"integrate(cot(e*x + d)*e^((b*x + a)*c), x)","F",0
23,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*cot(e*x+d)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*cot(e*x+d)^3,x, algorithm=""maxima"")","-\frac{4 \, e \cos\left(2 \, e x + 2 \, d\right)^{2} e^{\left(b c x + a c\right)} + b c e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right) + 4 \, e e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right)^{2} - 2 \, e \cos\left(2 \, e x + 2 \, d\right) e^{\left(b c x + a c\right)} - {\left(b c e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right) + 2 \, e \cos\left(2 \, e x + 2 \, d\right) e^{\left(b c x + a c\right)}\right)} \cos\left(4 \, e x + 4 \, d\right) + \frac{1}{2} \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)} + {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(4 \, e x + 4 \, d\right)^{2} + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)^{2} + {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(4 \, e x + 4 \, d\right)^{2} - 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(4 \, e x + 4 \, d\right) \sin\left(2 \, e x + 2 \, d\right) + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)} - 2 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)\right)} \cos\left(4 \, e x + 4 \, d\right) - 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)\right)} \int \frac{e^{\left(b c x\right)} \sin\left(e x + d\right)}{e^{4} \cos\left(e x + d\right)^{2} + e^{4} \sin\left(e x + d\right)^{2} + 2 \, e^{4} \cos\left(e x + d\right) + e^{4}}\,{d x} - \frac{1}{2} \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)} + {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(4 \, e x + 4 \, d\right)^{2} + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)^{2} + {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(4 \, e x + 4 \, d\right)^{2} - 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(4 \, e x + 4 \, d\right) \sin\left(2 \, e x + 2 \, d\right) + 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)} - 2 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)\right)} \cos\left(4 \, e x + 4 \, d\right) - 4 \, {\left(b^{2} c^{2} e^{4} e^{\left(a c\right)} - 2 \, e^{6} e^{\left(a c\right)}\right)} \cos\left(2 \, e x + 2 \, d\right)\right)} \int \frac{e^{\left(b c x\right)} \sin\left(e x + d\right)}{e^{4} \cos\left(e x + d\right)^{2} + e^{4} \sin\left(e x + d\right)^{2} - 2 \, e^{4} \cos\left(e x + d\right) + e^{4}}\,{d x} + {\left(b c \cos\left(2 \, e x + 2 \, d\right) e^{\left(b c x + a c\right)} - b c e^{\left(b c x + a c\right)} - 2 \, e e^{\left(b c x + a c\right)} \sin\left(2 \, e x + 2 \, d\right)\right)} \sin\left(4 \, e x + 4 \, d\right)}{e^{2} \cos\left(4 \, e x + 4 \, d\right)^{2} + 4 \, e^{2} \cos\left(2 \, e x + 2 \, d\right)^{2} + e^{2} \sin\left(4 \, e x + 4 \, d\right)^{2} - 4 \, e^{2} \sin\left(4 \, e x + 4 \, d\right) \sin\left(2 \, e x + 2 \, d\right) + 4 \, e^{2} \sin\left(2 \, e x + 2 \, d\right)^{2} - 4 \, e^{2} \cos\left(2 \, e x + 2 \, d\right) + e^{2} - 2 \, {\left(2 \, e^{2} \cos\left(2 \, e x + 2 \, d\right) - e^{2}\right)} \cos\left(4 \, e x + 4 \, d\right)}"," ",0,"-(4*e*cos(2*e*x + 2*d)^2*e^(b*c*x + a*c) + b*c*e^(b*c*x + a*c)*sin(2*e*x + 2*d) + 4*e*e^(b*c*x + a*c)*sin(2*e*x + 2*d)^2 - 2*e*cos(2*e*x + 2*d)*e^(b*c*x + a*c) - (b*c*e^(b*c*x + a*c)*sin(2*e*x + 2*d) + 2*e*cos(2*e*x + 2*d)*e^(b*c*x + a*c))*cos(4*e*x + 4*d) + 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c) + (b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(4*e*x + 4*d)^2 + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d)^2 + (b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(4*e*x + 4*d)^2 - 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(4*e*x + 4*d)*sin(2*e*x + 2*d) + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(2*e*x + 2*d)^2 + 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c) - 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d))*cos(4*e*x + 4*d) - 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d))*integrate(1/4*e^(b*c*x)*sin(e*x + d)/(e^4*cos(e*x + d)^2 + e^4*sin(e*x + d)^2 + 2*e^4*cos(e*x + d) + e^4), x) - 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c) + (b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(4*e*x + 4*d)^2 + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d)^2 + (b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(4*e*x + 4*d)^2 - 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(4*e*x + 4*d)*sin(2*e*x + 2*d) + 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*sin(2*e*x + 2*d)^2 + 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c) - 2*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d))*cos(4*e*x + 4*d) - 4*(b^2*c^2*e^4*e^(a*c) - 2*e^6*e^(a*c))*cos(2*e*x + 2*d))*integrate(1/4*e^(b*c*x)*sin(e*x + d)/(e^4*cos(e*x + d)^2 + e^4*sin(e*x + d)^2 - 2*e^4*cos(e*x + d) + e^4), x) + (b*c*cos(2*e*x + 2*d)*e^(b*c*x + a*c) - b*c*e^(b*c*x + a*c) - 2*e*e^(b*c*x + a*c)*sin(2*e*x + 2*d))*sin(4*e*x + 4*d))/(e^2*cos(4*e*x + 4*d)^2 + 4*e^2*cos(2*e*x + 2*d)^2 + e^2*sin(4*e*x + 4*d)^2 - 4*e^2*sin(4*e*x + 4*d)*sin(2*e*x + 2*d) + 4*e^2*sin(2*e*x + 2*d)^2 - 4*e^2*cos(2*e*x + 2*d) + e^2 - 2*(2*e^2*cos(2*e*x + 2*d) - e^2)*cos(4*e*x + 4*d))","F",0
25,0,0,0,0.000000," ","integrate(F^(b*x+a)*cot(1/2*c+1/4*pi+1/2*d*x),x, algorithm=""maxima"")","\int F^{b x + a} \cot\left(\frac{1}{4} \, \pi + \frac{1}{2} \, d x + \frac{1}{2} \, c\right)\,{d x}"," ",0,"integrate(F^(b*x + a)*cot(1/4*pi + 1/2*d*x + 1/2*c), x)","F",0
26,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sec(e*x+d)^n,x, algorithm=""maxima"")","\int F^{{\left(b x + a\right)} c} \sec\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sec(e*x + d)^n, x)","F",0
27,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csc(e*x+d)^n,x, algorithm=""maxima"")","\int F^{{\left(b x + a\right)} c} \csc\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csc(e*x + d)^n, x)","F",0
28,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(f*x)^m*sin(e*x+d),x, algorithm=""maxima"")","\int \left(f x\right)^{m} F^{{\left(b x + a\right)} c} \sin\left(e x + d\right)\,{d x}"," ",0,"integrate((f*x)^m*F^((b*x + a)*c)*sin(e*x + d), x)","F",0
29,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d),x, algorithm=""maxima"")","\int \frac{\left(f x\right)^{m} F^{{\left(b x + a\right)} c}}{\sin\left(e x + d\right)}\,{d x}"," ",0,"integrate((f*x)^m*F^((b*x + a)*c)/sin(e*x + d), x)","F",0
30,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{\left(f x\right)^{m} F^{{\left(b x + a\right)} c}}{\sin\left(e x + d\right)^{2}}\,{d x}"," ",0,"integrate((f*x)^m*F^((b*x + a)*c)/sin(e*x + d)^2, x)","F",0
31,1,32,0,0.732895," ","integrate(f*F^(c*(b*x+a))*(f*x)^(-2+m)*(e*x*cos(e*x+d)+(-1+m+b*c*x*log(F))*sin(e*x+d)),x, algorithm=""maxima"")","\frac{F^{a c} f^{m - 1} e^{\left(b c x \log\left(F\right) + m \log\left(x\right)\right)} \sin\left(e x + d\right)}{x}"," ",0,"F^(a*c)*f^(m - 1)*e^(b*c*x*log(F) + m*log(x))*sin(e*x + d)/x","A",0
32,1,30,0,0.701884," ","integrate(f*F^(c*(b*x+a))*(f*x)^m*(e*x*cos(e*x+d)+(1+m+b*c*x*log(F))*sin(e*x+d)),x, algorithm=""maxima"")","F^{a c} f^{m + 1} x e^{\left(b c x \log\left(F\right) + m \log\left(x\right)\right)} \sin\left(e x + d\right)"," ",0,"F^(a*c)*f^(m + 1)*x*e^(b*c*x*log(F) + m*log(x))*sin(e*x + d)","A",0
33,1,27,0,0.711742," ","integrate(F^(c*(b*x+a))*(f*x)^m*(e*x*cos(e*x+d)+(m+b*c*x*log(F))*sin(e*x+d))/x,x, algorithm=""maxima"")","F^{a c} f^{m} e^{\left(b c x \log\left(F\right) + m \log\left(x\right)\right)} \sin\left(e x + d\right)"," ",0,"F^(a*c)*f^m*e^(b*c*x*log(F) + m*log(x))*sin(e*x + d)","A",0
34,1,1382,0,0.461828," ","integrate(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(1+b*c*x*log(F))*sin(e*x+d)),x, algorithm=""maxima"")","\frac{{\left({\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right) + 2 \, F^{a c} b c e \cos\left(d\right) \log\left(F\right) - F^{a c} e^{2} \sin\left(d\right) - {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(d\right) + F^{a c} b^{2} c^{2} e \cos\left(d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(d\right) + F^{a c} e^{3} \cos\left(d\right)\right)} x\right)} F^{b c x} \cos\left(e x + 2 \, d\right) - {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right) - 2 \, F^{a c} b c e \cos\left(d\right) \log\left(F\right) - F^{a c} e^{2} \sin\left(d\right) - {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(d\right) - F^{a c} b^{2} c^{2} e \cos\left(d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(d\right) - F^{a c} e^{3} \cos\left(d\right)\right)} x\right)} F^{b c x} \cos\left(e x\right) - {\left(F^{a c} b^{2} c^{2} \cos\left(d\right) \log\left(F\right)^{2} - 2 \, F^{a c} b c e \log\left(F\right) \sin\left(d\right) - F^{a c} e^{2} \cos\left(d\right) - {\left(F^{a c} b^{3} c^{3} \cos\left(d\right) \log\left(F\right)^{3} - F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(d\right) + F^{a c} b c e^{2} \cos\left(d\right) \log\left(F\right) - F^{a c} e^{3} \sin\left(d\right)\right)} x\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b^{2} c^{2} \cos\left(d\right) \log\left(F\right)^{2} + 2 \, F^{a c} b c e \log\left(F\right) \sin\left(d\right) - F^{a c} e^{2} \cos\left(d\right) - {\left(F^{a c} b^{3} c^{3} \cos\left(d\right) \log\left(F\right)^{3} + F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(d\right) + F^{a c} b c e^{2} \cos\left(d\right) \log\left(F\right) + F^{a c} e^{3} \sin\left(d\right)\right)} x\right)} F^{b c x} \sin\left(e x\right)\right)} b c \log\left(F\right)}{2 \, {\left(b^{4} c^{4} \cos\left(d\right)^{2} \log\left(F\right)^{4} + b^{4} c^{4} \log\left(F\right)^{4} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{4} + 2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2}\right)} e^{2}\right)}} - \frac{{\left({\left(F^{a c} b^{2} c^{2} \cos\left(d\right) \log\left(F\right)^{2} - 2 \, F^{a c} b c e \log\left(F\right) \sin\left(d\right) - F^{a c} e^{2} \cos\left(d\right) - {\left(F^{a c} b^{3} c^{3} \cos\left(d\right) \log\left(F\right)^{3} - F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(d\right) + F^{a c} b c e^{2} \cos\left(d\right) \log\left(F\right) - F^{a c} e^{3} \sin\left(d\right)\right)} x\right)} F^{b c x} \cos\left(e x + 2 \, d\right) + {\left(F^{a c} b^{2} c^{2} \cos\left(d\right) \log\left(F\right)^{2} + 2 \, F^{a c} b c e \log\left(F\right) \sin\left(d\right) - F^{a c} e^{2} \cos\left(d\right) - {\left(F^{a c} b^{3} c^{3} \cos\left(d\right) \log\left(F\right)^{3} + F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} \sin\left(d\right) + F^{a c} b c e^{2} \cos\left(d\right) \log\left(F\right) + F^{a c} e^{3} \sin\left(d\right)\right)} x\right)} F^{b c x} \cos\left(e x\right) + {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right) + 2 \, F^{a c} b c e \cos\left(d\right) \log\left(F\right) - F^{a c} e^{2} \sin\left(d\right) - {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(d\right) + F^{a c} b^{2} c^{2} e \cos\left(d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(d\right) + F^{a c} e^{3} \cos\left(d\right)\right)} x\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right) - 2 \, F^{a c} b c e \cos\left(d\right) \log\left(F\right) - F^{a c} e^{2} \sin\left(d\right) - {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} \sin\left(d\right) - F^{a c} b^{2} c^{2} e \cos\left(d\right) \log\left(F\right)^{2} + F^{a c} b c e^{2} \log\left(F\right) \sin\left(d\right) - F^{a c} e^{3} \cos\left(d\right)\right)} x\right)} F^{b c x} \sin\left(e x\right)\right)} e}{2 \, {\left(b^{4} c^{4} \cos\left(d\right)^{2} \log\left(F\right)^{4} + b^{4} c^{4} \log\left(F\right)^{4} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{4} + 2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2}\right)} e^{2}\right)}} - \frac{{\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x\right)}{2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}\right)}}"," ",0,"1/2*((F^(a*c)*b^2*c^2*log(F)^2*sin(d) + 2*F^(a*c)*b*c*e*cos(d)*log(F) - F^(a*c)*e^2*sin(d) - (F^(a*c)*b^3*c^3*log(F)^3*sin(d) + F^(a*c)*b^2*c^2*e*cos(d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(d) + F^(a*c)*e^3*cos(d))*x)*F^(b*c*x)*cos(e*x + 2*d) - (F^(a*c)*b^2*c^2*log(F)^2*sin(d) - 2*F^(a*c)*b*c*e*cos(d)*log(F) - F^(a*c)*e^2*sin(d) - (F^(a*c)*b^3*c^3*log(F)^3*sin(d) - F^(a*c)*b^2*c^2*e*cos(d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(d) - F^(a*c)*e^3*cos(d))*x)*F^(b*c*x)*cos(e*x) - (F^(a*c)*b^2*c^2*cos(d)*log(F)^2 - 2*F^(a*c)*b*c*e*log(F)*sin(d) - F^(a*c)*e^2*cos(d) - (F^(a*c)*b^3*c^3*cos(d)*log(F)^3 - F^(a*c)*b^2*c^2*e*log(F)^2*sin(d) + F^(a*c)*b*c*e^2*cos(d)*log(F) - F^(a*c)*e^3*sin(d))*x)*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b^2*c^2*cos(d)*log(F)^2 + 2*F^(a*c)*b*c*e*log(F)*sin(d) - F^(a*c)*e^2*cos(d) - (F^(a*c)*b^3*c^3*cos(d)*log(F)^3 + F^(a*c)*b^2*c^2*e*log(F)^2*sin(d) + F^(a*c)*b*c*e^2*cos(d)*log(F) + F^(a*c)*e^3*sin(d))*x)*F^(b*c*x)*sin(e*x))*b*c*log(F)/(b^4*c^4*cos(d)^2*log(F)^4 + b^4*c^4*log(F)^4*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^4 + 2*(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2)*e^2) - 1/2*((F^(a*c)*b^2*c^2*cos(d)*log(F)^2 - 2*F^(a*c)*b*c*e*log(F)*sin(d) - F^(a*c)*e^2*cos(d) - (F^(a*c)*b^3*c^3*cos(d)*log(F)^3 - F^(a*c)*b^2*c^2*e*log(F)^2*sin(d) + F^(a*c)*b*c*e^2*cos(d)*log(F) - F^(a*c)*e^3*sin(d))*x)*F^(b*c*x)*cos(e*x + 2*d) + (F^(a*c)*b^2*c^2*cos(d)*log(F)^2 + 2*F^(a*c)*b*c*e*log(F)*sin(d) - F^(a*c)*e^2*cos(d) - (F^(a*c)*b^3*c^3*cos(d)*log(F)^3 + F^(a*c)*b^2*c^2*e*log(F)^2*sin(d) + F^(a*c)*b*c*e^2*cos(d)*log(F) + F^(a*c)*e^3*sin(d))*x)*F^(b*c*x)*cos(e*x) + (F^(a*c)*b^2*c^2*log(F)^2*sin(d) + 2*F^(a*c)*b*c*e*cos(d)*log(F) - F^(a*c)*e^2*sin(d) - (F^(a*c)*b^3*c^3*log(F)^3*sin(d) + F^(a*c)*b^2*c^2*e*cos(d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(d) + F^(a*c)*e^3*cos(d))*x)*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b^2*c^2*log(F)^2*sin(d) - 2*F^(a*c)*b*c*e*cos(d)*log(F) - F^(a*c)*e^2*sin(d) - (F^(a*c)*b^3*c^3*log(F)^3*sin(d) - F^(a*c)*b^2*c^2*e*cos(d)*log(F)^2 + F^(a*c)*b*c*e^2*log(F)*sin(d) - F^(a*c)*e^3*cos(d))*x)*F^(b*c*x)*sin(e*x))*e/(b^4*c^4*cos(d)^2*log(F)^4 + b^4*c^4*log(F)^4*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^4 + 2*(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2)*e^2) - 1/2*((F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x) - (F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x))/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2)","B",0
35,1,392,0,0.350107," ","integrate(F^(c*(b*x+a))*(e*cos(e*x+d)+b*c*log(F)*sin(e*x+d)),x, algorithm=""maxima"")","-\frac{{\left({\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x\right)\right)} b c \log\left(F\right)}{2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}\right)}} + \frac{{\left({\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) + {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x\right) + {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x\right)\right)} e}{2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}\right)}}"," ",0,"-1/2*((F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x) - (F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x))*b*c*log(F)/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2) + 1/2*((F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x + 2*d) + (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x) + (F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x))*e/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2)","B",0
36,1,564,0,1.026078," ","integrate(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(-1+b*c*x*log(F))*sin(e*x+d))/x^2,x, algorithm=""maxima"")","-\frac{1}{4} \, F^{a c} b c {\left(i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} - i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} - i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) \log\left(F\right) - \frac{1}{4} \, F^{a c} b c {\left(\overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \log\left(F\right) \sin\left(d\right) - \frac{1}{4} \, {\left(F^{a c} {\left(i \, {\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right) - i \, {\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right) - i \, \overline{{\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right)} + i \, \overline{{\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right)}\right)} \cos\left(d\right) - F^{a c} {\left({\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right) + {\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right) + \overline{{\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{{\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right)}\right)} \sin\left(d\right)\right)} b c \log\left(F\right) + \frac{1}{4} \, {\left(F^{a c} {\left({\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right) + {\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right) + \overline{{\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{{\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right)}\right)} \cos\left(d\right) - F^{a c} {\left(-i \, {\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right) + i \, {\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right) + i \, \overline{{\rm Ei}\left({\left(b c \log\left(F\right) + i \, e\right)} x\right)} - i \, \overline{{\rm Ei}\left({\left(b c \log\left(F\right) - i \, e\right)} x\right)}\right)} \sin\left(d\right)\right)} e - \frac{1}{4} \, {\left(F^{a c} {\left(\overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) + F^{a c} {\left(-i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) - i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \sin\left(d\right)\right)} e"," ",0,"-1/4*F^(a*c)*b*c*(I*conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) - I*conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) - I*gamma(-1, -(b*c*log(F) + I*e)*x) + I*gamma(-1, -(b*c*log(F) - I*e)*x))*cos(d)*log(F) - 1/4*F^(a*c)*b*c*(conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + gamma(-1, -(b*c*log(F) + I*e)*x) + gamma(-1, -(b*c*log(F) - I*e)*x))*log(F)*sin(d) - 1/4*(F^(a*c)*(I*Ei((b*c*log(F) + I*e)*x) - I*Ei((b*c*log(F) - I*e)*x) - I*conjugate(Ei((b*c*log(F) + I*e)*x)) + I*conjugate(Ei((b*c*log(F) - I*e)*x)))*cos(d) - F^(a*c)*(Ei((b*c*log(F) + I*e)*x) + Ei((b*c*log(F) - I*e)*x) + conjugate(Ei((b*c*log(F) + I*e)*x)) + conjugate(Ei((b*c*log(F) - I*e)*x)))*sin(d))*b*c*log(F) + 1/4*(F^(a*c)*(Ei((b*c*log(F) + I*e)*x) + Ei((b*c*log(F) - I*e)*x) + conjugate(Ei((b*c*log(F) + I*e)*x)) + conjugate(Ei((b*c*log(F) - I*e)*x)))*cos(d) - F^(a*c)*(-I*Ei((b*c*log(F) + I*e)*x) + I*Ei((b*c*log(F) - I*e)*x) + I*conjugate(Ei((b*c*log(F) + I*e)*x)) - I*conjugate(Ei((b*c*log(F) - I*e)*x)))*sin(d))*e - 1/4*(F^(a*c)*(conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + gamma(-1, -(b*c*log(F) + I*e)*x) + gamma(-1, -(b*c*log(F) - I*e)*x))*cos(d) + F^(a*c)*(-I*conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + I*conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + I*gamma(-1, -(b*c*log(F) + I*e)*x) - I*gamma(-1, -(b*c*log(F) - I*e)*x))*sin(d))*e","C",0
37,1,1072,0,1.444425," ","integrate(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(-2+b*c*x*log(F))*sin(e*x+d))/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, F^{a c} b^{2} c^{2} {\left(-i \, \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + i \, \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + i \, \Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) - i \, \Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) \log\left(F\right)^{2} + \frac{1}{2} \, F^{a c} b^{2} c^{2} {\left(\overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \log\left(F\right)^{2} \sin\left(d\right) + \frac{1}{4} \, {\left(F^{a c} b c {\left(i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} - i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} - i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) \log\left(F\right) + F^{a c} b c {\left(\overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \log\left(F\right) \sin\left(d\right) + {\left(F^{a c} {\left(\overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) + F^{a c} {\left(-i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) - i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \sin\left(d\right)\right)} e\right)} b c \log\left(F\right) - \frac{1}{2} \, {\left(F^{a c} {\left(i \, \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} - i \, \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} - i \, \Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + i \, \Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) + F^{a c} {\left(\overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \sin\left(d\right)\right)} e^{2} + \frac{1}{4} \, {\left(F^{a c} b c {\left(\overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) \log\left(F\right) - F^{a c} b c {\left(i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} - i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} - i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \log\left(F\right) \sin\left(d\right) - {\left(F^{a c} {\left(i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} - i \, \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} - i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + i \, \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) + F^{a c} {\left(\overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-1, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-1, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \sin\left(d\right)\right)} e\right)} e + \frac{1}{2} \, {\left(2 \, F^{a c} b c {\left(\overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} + \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} + \Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + \Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \cos\left(d\right) \log\left(F\right) - F^{a c} b c {\left(2 i \, \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right)} - 2 i \, \overline{\Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)} - 2 i \, \Gamma\left(-2, -{\left(b c \log\left(F\right) + i \, e\right)} x\right) + 2 i \, \Gamma\left(-2, -{\left(b c \log\left(F\right) - i \, e\right)} x\right)\right)} \log\left(F\right) \sin\left(d\right)\right)} e"," ",0,"-1/2*F^(a*c)*b^2*c^2*(-I*conjugate(gamma(-2, -(b*c*log(F) + I*e)*x)) + I*conjugate(gamma(-2, -(b*c*log(F) - I*e)*x)) + I*gamma(-2, -(b*c*log(F) + I*e)*x) - I*gamma(-2, -(b*c*log(F) - I*e)*x))*cos(d)*log(F)^2 + 1/2*F^(a*c)*b^2*c^2*(conjugate(gamma(-2, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-2, -(b*c*log(F) - I*e)*x)) + gamma(-2, -(b*c*log(F) + I*e)*x) + gamma(-2, -(b*c*log(F) - I*e)*x))*log(F)^2*sin(d) + 1/4*(F^(a*c)*b*c*(I*conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) - I*conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) - I*gamma(-1, -(b*c*log(F) + I*e)*x) + I*gamma(-1, -(b*c*log(F) - I*e)*x))*cos(d)*log(F) + F^(a*c)*b*c*(conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + gamma(-1, -(b*c*log(F) + I*e)*x) + gamma(-1, -(b*c*log(F) - I*e)*x))*log(F)*sin(d) + (F^(a*c)*(conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + gamma(-1, -(b*c*log(F) + I*e)*x) + gamma(-1, -(b*c*log(F) - I*e)*x))*cos(d) + F^(a*c)*(-I*conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + I*conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + I*gamma(-1, -(b*c*log(F) + I*e)*x) - I*gamma(-1, -(b*c*log(F) - I*e)*x))*sin(d))*e)*b*c*log(F) - 1/2*(F^(a*c)*(I*conjugate(gamma(-2, -(b*c*log(F) + I*e)*x)) - I*conjugate(gamma(-2, -(b*c*log(F) - I*e)*x)) - I*gamma(-2, -(b*c*log(F) + I*e)*x) + I*gamma(-2, -(b*c*log(F) - I*e)*x))*cos(d) + F^(a*c)*(conjugate(gamma(-2, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-2, -(b*c*log(F) - I*e)*x)) + gamma(-2, -(b*c*log(F) + I*e)*x) + gamma(-2, -(b*c*log(F) - I*e)*x))*sin(d))*e^2 + 1/4*(F^(a*c)*b*c*(conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + gamma(-1, -(b*c*log(F) + I*e)*x) + gamma(-1, -(b*c*log(F) - I*e)*x))*cos(d)*log(F) - F^(a*c)*b*c*(I*conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) - I*conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) - I*gamma(-1, -(b*c*log(F) + I*e)*x) + I*gamma(-1, -(b*c*log(F) - I*e)*x))*log(F)*sin(d) - (F^(a*c)*(I*conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) - I*conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) - I*gamma(-1, -(b*c*log(F) + I*e)*x) + I*gamma(-1, -(b*c*log(F) - I*e)*x))*cos(d) + F^(a*c)*(conjugate(gamma(-1, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-1, -(b*c*log(F) - I*e)*x)) + gamma(-1, -(b*c*log(F) + I*e)*x) + gamma(-1, -(b*c*log(F) - I*e)*x))*sin(d))*e)*e + 1/2*(2*F^(a*c)*b*c*(conjugate(gamma(-2, -(b*c*log(F) + I*e)*x)) + conjugate(gamma(-2, -(b*c*log(F) - I*e)*x)) + gamma(-2, -(b*c*log(F) + I*e)*x) + gamma(-2, -(b*c*log(F) - I*e)*x))*cos(d)*log(F) - F^(a*c)*b*c*(2*I*conjugate(gamma(-2, -(b*c*log(F) + I*e)*x)) - 2*I*conjugate(gamma(-2, -(b*c*log(F) - I*e)*x)) - 2*I*gamma(-2, -(b*c*log(F) + I*e)*x) + 2*I*gamma(-2, -(b*c*log(F) - I*e)*x))*log(F)*sin(d))*e","C",0
38,1,44,0,0.315048," ","integrate(exp(b*x+a)*cos(d*x+c)*sin(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(2 \, d \cos\left(2 \, d x + 2 \, c\right) - b \sin\left(2 \, d x + 2 \, c\right)\right)} e^{\left(b x + a\right)}}{2 \, {\left(b^{2} + 4 \, d^{2}\right)}}"," ",0,"-1/2*(2*d*cos(2*d*x + 2*c) - b*sin(2*d*x + 2*c))*e^(b*x + a)/(b^2 + 4*d^2)","A",0
39,1,538,0,0.351497," ","integrate(exp(b*x+a)*cos(d*x+c)*sin(d*x+c)^2,x, algorithm=""maxima"")","-\frac{{\left(b^{3} \cos\left(3 \, c\right) e^{a} + b d^{2} \cos\left(3 \, c\right) e^{a} + 3 \, b^{2} d e^{a} \sin\left(3 \, c\right) + 3 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(3 \, d x\right) e^{\left(b x\right)} + {\left(b^{3} \cos\left(3 \, c\right) e^{a} + b d^{2} \cos\left(3 \, c\right) e^{a} - 3 \, b^{2} d e^{a} \sin\left(3 \, c\right) - 3 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(3 \, d x + 6 \, c\right) e^{\left(b x\right)} - {\left(b^{3} \cos\left(3 \, c\right) e^{a} + 9 \, b d^{2} \cos\left(3 \, c\right) e^{a} - b^{2} d e^{a} \sin\left(3 \, c\right) - 9 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(d x + 4 \, c\right) e^{\left(b x\right)} - {\left(b^{3} \cos\left(3 \, c\right) e^{a} + 9 \, b d^{2} \cos\left(3 \, c\right) e^{a} + b^{2} d e^{a} \sin\left(3 \, c\right) + 9 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(d x - 2 \, c\right) e^{\left(b x\right)} + {\left(3 \, b^{2} d \cos\left(3 \, c\right) e^{a} + 3 \, d^{3} \cos\left(3 \, c\right) e^{a} - b^{3} e^{a} \sin\left(3 \, c\right) - b d^{2} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x\right) + {\left(3 \, b^{2} d \cos\left(3 \, c\right) e^{a} + 3 \, d^{3} \cos\left(3 \, c\right) e^{a} + b^{3} e^{a} \sin\left(3 \, c\right) + b d^{2} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x + 6 \, c\right) - {\left(b^{2} d \cos\left(3 \, c\right) e^{a} + 9 \, d^{3} \cos\left(3 \, c\right) e^{a} + b^{3} e^{a} \sin\left(3 \, c\right) + 9 \, b d^{2} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x + 4 \, c\right) - {\left(b^{2} d \cos\left(3 \, c\right) e^{a} + 9 \, d^{3} \cos\left(3 \, c\right) e^{a} - b^{3} e^{a} \sin\left(3 \, c\right) - 9 \, b d^{2} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x - 2 \, c\right)}{8 \, {\left(b^{4} \cos\left(3 \, c\right)^{2} + b^{4} \sin\left(3 \, c\right)^{2} + 9 \, {\left(\cos\left(3 \, c\right)^{2} + \sin\left(3 \, c\right)^{2}\right)} d^{4} + 10 \, {\left(b^{2} \cos\left(3 \, c\right)^{2} + b^{2} \sin\left(3 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"-1/8*((b^3*cos(3*c)*e^a + b*d^2*cos(3*c)*e^a + 3*b^2*d*e^a*sin(3*c) + 3*d^3*e^a*sin(3*c))*cos(3*d*x)*e^(b*x) + (b^3*cos(3*c)*e^a + b*d^2*cos(3*c)*e^a - 3*b^2*d*e^a*sin(3*c) - 3*d^3*e^a*sin(3*c))*cos(3*d*x + 6*c)*e^(b*x) - (b^3*cos(3*c)*e^a + 9*b*d^2*cos(3*c)*e^a - b^2*d*e^a*sin(3*c) - 9*d^3*e^a*sin(3*c))*cos(d*x + 4*c)*e^(b*x) - (b^3*cos(3*c)*e^a + 9*b*d^2*cos(3*c)*e^a + b^2*d*e^a*sin(3*c) + 9*d^3*e^a*sin(3*c))*cos(d*x - 2*c)*e^(b*x) + (3*b^2*d*cos(3*c)*e^a + 3*d^3*cos(3*c)*e^a - b^3*e^a*sin(3*c) - b*d^2*e^a*sin(3*c))*e^(b*x)*sin(3*d*x) + (3*b^2*d*cos(3*c)*e^a + 3*d^3*cos(3*c)*e^a + b^3*e^a*sin(3*c) + b*d^2*e^a*sin(3*c))*e^(b*x)*sin(3*d*x + 6*c) - (b^2*d*cos(3*c)*e^a + 9*d^3*cos(3*c)*e^a + b^3*e^a*sin(3*c) + 9*b*d^2*e^a*sin(3*c))*e^(b*x)*sin(d*x + 4*c) - (b^2*d*cos(3*c)*e^a + 9*d^3*cos(3*c)*e^a - b^3*e^a*sin(3*c) - 9*b*d^2*e^a*sin(3*c))*e^(b*x)*sin(d*x - 2*c))/(b^4*cos(3*c)^2 + b^4*sin(3*c)^2 + 9*(cos(3*c)^2 + sin(3*c)^2)*d^4 + 10*(b^2*cos(3*c)^2 + b^2*sin(3*c)^2)*d^2)","B",0
40,1,550,0,0.347420," ","integrate(exp(b*x+a)*cos(d*x+c)*sin(d*x+c)^3,x, algorithm=""maxima"")","\frac{{\left(4 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 16 \, d^{3} \cos\left(4 \, c\right) e^{a} - b^{3} e^{a} \sin\left(4 \, c\right) - 4 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(4 \, d x\right) e^{\left(b x\right)} + {\left(4 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 16 \, d^{3} \cos\left(4 \, c\right) e^{a} + b^{3} e^{a} \sin\left(4 \, c\right) + 4 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(4 \, d x + 8 \, c\right) e^{\left(b x\right)} - 2 \, {\left(2 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 32 \, d^{3} \cos\left(4 \, c\right) e^{a} + b^{3} e^{a} \sin\left(4 \, c\right) + 16 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(2 \, d x + 6 \, c\right) e^{\left(b x\right)} - 2 \, {\left(2 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 32 \, d^{3} \cos\left(4 \, c\right) e^{a} - b^{3} e^{a} \sin\left(4 \, c\right) - 16 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(2 \, d x - 2 \, c\right) e^{\left(b x\right)} - {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 4 \, b d^{2} \cos\left(4 \, c\right) e^{a} + 4 \, b^{2} d e^{a} \sin\left(4 \, c\right) + 16 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(4 \, d x\right) - {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 4 \, b d^{2} \cos\left(4 \, c\right) e^{a} - 4 \, b^{2} d e^{a} \sin\left(4 \, c\right) - 16 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(4 \, d x + 8 \, c\right) + 2 \, {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 16 \, b d^{2} \cos\left(4 \, c\right) e^{a} - 2 \, b^{2} d e^{a} \sin\left(4 \, c\right) - 32 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(2 \, d x + 6 \, c\right) + 2 \, {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 16 \, b d^{2} \cos\left(4 \, c\right) e^{a} + 2 \, b^{2} d e^{a} \sin\left(4 \, c\right) + 32 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(2 \, d x - 2 \, c\right)}{16 \, {\left(b^{4} \cos\left(4 \, c\right)^{2} + b^{4} \sin\left(4 \, c\right)^{2} + 64 \, {\left(\cos\left(4 \, c\right)^{2} + \sin\left(4 \, c\right)^{2}\right)} d^{4} + 20 \, {\left(b^{2} \cos\left(4 \, c\right)^{2} + b^{2} \sin\left(4 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"1/16*((4*b^2*d*cos(4*c)*e^a + 16*d^3*cos(4*c)*e^a - b^3*e^a*sin(4*c) - 4*b*d^2*e^a*sin(4*c))*cos(4*d*x)*e^(b*x) + (4*b^2*d*cos(4*c)*e^a + 16*d^3*cos(4*c)*e^a + b^3*e^a*sin(4*c) + 4*b*d^2*e^a*sin(4*c))*cos(4*d*x + 8*c)*e^(b*x) - 2*(2*b^2*d*cos(4*c)*e^a + 32*d^3*cos(4*c)*e^a + b^3*e^a*sin(4*c) + 16*b*d^2*e^a*sin(4*c))*cos(2*d*x + 6*c)*e^(b*x) - 2*(2*b^2*d*cos(4*c)*e^a + 32*d^3*cos(4*c)*e^a - b^3*e^a*sin(4*c) - 16*b*d^2*e^a*sin(4*c))*cos(2*d*x - 2*c)*e^(b*x) - (b^3*cos(4*c)*e^a + 4*b*d^2*cos(4*c)*e^a + 4*b^2*d*e^a*sin(4*c) + 16*d^3*e^a*sin(4*c))*e^(b*x)*sin(4*d*x) - (b^3*cos(4*c)*e^a + 4*b*d^2*cos(4*c)*e^a - 4*b^2*d*e^a*sin(4*c) - 16*d^3*e^a*sin(4*c))*e^(b*x)*sin(4*d*x + 8*c) + 2*(b^3*cos(4*c)*e^a + 16*b*d^2*cos(4*c)*e^a - 2*b^2*d*e^a*sin(4*c) - 32*d^3*e^a*sin(4*c))*e^(b*x)*sin(2*d*x + 6*c) + 2*(b^3*cos(4*c)*e^a + 16*b*d^2*cos(4*c)*e^a + 2*b^2*d*e^a*sin(4*c) + 32*d^3*e^a*sin(4*c))*e^(b*x)*sin(2*d*x - 2*c))/(b^4*cos(4*c)^2 + b^4*sin(4*c)^2 + 64*(cos(4*c)^2 + sin(4*c)^2)*d^4 + 20*(b^2*cos(4*c)^2 + b^2*sin(4*c)^2)*d^2)","B",0
41,1,538,0,0.364493," ","integrate(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(3 \, b^{2} d \cos\left(3 \, c\right) e^{a} + 3 \, d^{3} \cos\left(3 \, c\right) e^{a} - b^{3} e^{a} \sin\left(3 \, c\right) - b d^{2} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(3 \, d x\right) e^{\left(b x\right)} + {\left(3 \, b^{2} d \cos\left(3 \, c\right) e^{a} + 3 \, d^{3} \cos\left(3 \, c\right) e^{a} + b^{3} e^{a} \sin\left(3 \, c\right) + b d^{2} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(3 \, d x + 6 \, c\right) e^{\left(b x\right)} + {\left(b^{2} d \cos\left(3 \, c\right) e^{a} + 9 \, d^{3} \cos\left(3 \, c\right) e^{a} + b^{3} e^{a} \sin\left(3 \, c\right) + 9 \, b d^{2} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(d x + 4 \, c\right) e^{\left(b x\right)} + {\left(b^{2} d \cos\left(3 \, c\right) e^{a} + 9 \, d^{3} \cos\left(3 \, c\right) e^{a} - b^{3} e^{a} \sin\left(3 \, c\right) - 9 \, b d^{2} e^{a} \sin\left(3 \, c\right)\right)} \cos\left(d x - 2 \, c\right) e^{\left(b x\right)} - {\left(b^{3} \cos\left(3 \, c\right) e^{a} + b d^{2} \cos\left(3 \, c\right) e^{a} + 3 \, b^{2} d e^{a} \sin\left(3 \, c\right) + 3 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x\right) - {\left(b^{3} \cos\left(3 \, c\right) e^{a} + b d^{2} \cos\left(3 \, c\right) e^{a} - 3 \, b^{2} d e^{a} \sin\left(3 \, c\right) - 3 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x + 6 \, c\right) - {\left(b^{3} \cos\left(3 \, c\right) e^{a} + 9 \, b d^{2} \cos\left(3 \, c\right) e^{a} - b^{2} d e^{a} \sin\left(3 \, c\right) - 9 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x + 4 \, c\right) - {\left(b^{3} \cos\left(3 \, c\right) e^{a} + 9 \, b d^{2} \cos\left(3 \, c\right) e^{a} + b^{2} d e^{a} \sin\left(3 \, c\right) + 9 \, d^{3} e^{a} \sin\left(3 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x - 2 \, c\right)}{8 \, {\left(b^{4} \cos\left(3 \, c\right)^{2} + b^{4} \sin\left(3 \, c\right)^{2} + 9 \, {\left(\cos\left(3 \, c\right)^{2} + \sin\left(3 \, c\right)^{2}\right)} d^{4} + 10 \, {\left(b^{2} \cos\left(3 \, c\right)^{2} + b^{2} \sin\left(3 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"-1/8*((3*b^2*d*cos(3*c)*e^a + 3*d^3*cos(3*c)*e^a - b^3*e^a*sin(3*c) - b*d^2*e^a*sin(3*c))*cos(3*d*x)*e^(b*x) + (3*b^2*d*cos(3*c)*e^a + 3*d^3*cos(3*c)*e^a + b^3*e^a*sin(3*c) + b*d^2*e^a*sin(3*c))*cos(3*d*x + 6*c)*e^(b*x) + (b^2*d*cos(3*c)*e^a + 9*d^3*cos(3*c)*e^a + b^3*e^a*sin(3*c) + 9*b*d^2*e^a*sin(3*c))*cos(d*x + 4*c)*e^(b*x) + (b^2*d*cos(3*c)*e^a + 9*d^3*cos(3*c)*e^a - b^3*e^a*sin(3*c) - 9*b*d^2*e^a*sin(3*c))*cos(d*x - 2*c)*e^(b*x) - (b^3*cos(3*c)*e^a + b*d^2*cos(3*c)*e^a + 3*b^2*d*e^a*sin(3*c) + 3*d^3*e^a*sin(3*c))*e^(b*x)*sin(3*d*x) - (b^3*cos(3*c)*e^a + b*d^2*cos(3*c)*e^a - 3*b^2*d*e^a*sin(3*c) - 3*d^3*e^a*sin(3*c))*e^(b*x)*sin(3*d*x + 6*c) - (b^3*cos(3*c)*e^a + 9*b*d^2*cos(3*c)*e^a - b^2*d*e^a*sin(3*c) - 9*d^3*e^a*sin(3*c))*e^(b*x)*sin(d*x + 4*c) - (b^3*cos(3*c)*e^a + 9*b*d^2*cos(3*c)*e^a + b^2*d*e^a*sin(3*c) + 9*d^3*e^a*sin(3*c))*e^(b*x)*sin(d*x - 2*c))/(b^4*cos(3*c)^2 + b^4*sin(3*c)^2 + 9*(cos(3*c)^2 + sin(3*c)^2)*d^4 + 10*(b^2*cos(3*c)^2 + b^2*sin(3*c)^2)*d^2)","B",0
42,1,236,0,0.345160," ","integrate(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c)^2,x, algorithm=""maxima"")","-\frac{{\left(b^{2} \cos\left(4 \, c\right) e^{a} + 4 \, b d e^{a} \sin\left(4 \, c\right)\right)} \cos\left(4 \, d x\right) e^{\left(b x\right)} + {\left(b^{2} \cos\left(4 \, c\right) e^{a} - 4 \, b d e^{a} \sin\left(4 \, c\right)\right)} \cos\left(4 \, d x + 8 \, c\right) e^{\left(b x\right)} + {\left(4 \, b d \cos\left(4 \, c\right) e^{a} - b^{2} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(4 \, d x\right) + {\left(4 \, b d \cos\left(4 \, c\right) e^{a} + b^{2} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(4 \, d x + 8 \, c\right) - 2 \, {\left(b^{2} \cos\left(4 \, c\right)^{2} e^{a} + b^{2} e^{a} \sin\left(4 \, c\right)^{2} + 16 \, {\left(\cos\left(4 \, c\right)^{2} e^{a} + e^{a} \sin\left(4 \, c\right)^{2}\right)} d^{2}\right)} e^{\left(b x\right)}}{16 \, {\left(b^{3} \cos\left(4 \, c\right)^{2} + b^{3} \sin\left(4 \, c\right)^{2} + 16 \, {\left(b \cos\left(4 \, c\right)^{2} + b \sin\left(4 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"-1/16*((b^2*cos(4*c)*e^a + 4*b*d*e^a*sin(4*c))*cos(4*d*x)*e^(b*x) + (b^2*cos(4*c)*e^a - 4*b*d*e^a*sin(4*c))*cos(4*d*x + 8*c)*e^(b*x) + (4*b*d*cos(4*c)*e^a - b^2*e^a*sin(4*c))*e^(b*x)*sin(4*d*x) + (4*b*d*cos(4*c)*e^a + b^2*e^a*sin(4*c))*e^(b*x)*sin(4*d*x + 8*c) - 2*(b^2*cos(4*c)^2*e^a + b^2*e^a*sin(4*c)^2 + 16*(cos(4*c)^2*e^a + e^a*sin(4*c)^2)*d^2)*e^(b*x))/(b^3*cos(4*c)^2 + b^3*sin(4*c)^2 + 16*(b*cos(4*c)^2 + b*sin(4*c)^2)*d^2)","B",0
43,1,1148,0,0.412001," ","integrate(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c)^3,x, algorithm=""maxima"")","\frac{{\left(5 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 50 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 45 \, d^{5} \cos\left(5 \, c\right) e^{a} - b^{5} e^{a} \sin\left(5 \, c\right) - 10 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) - 9 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(5 \, d x\right) e^{\left(b x\right)} + {\left(5 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 50 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 45 \, d^{5} \cos\left(5 \, c\right) e^{a} + b^{5} e^{a} \sin\left(5 \, c\right) + 10 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) + 9 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(5 \, d x + 10 \, c\right) e^{\left(b x\right)} - {\left(3 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 78 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 75 \, d^{5} \cos\left(5 \, c\right) e^{a} + b^{5} e^{a} \sin\left(5 \, c\right) + 26 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) + 25 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(3 \, d x + 8 \, c\right) e^{\left(b x\right)} - {\left(3 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 78 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 75 \, d^{5} \cos\left(5 \, c\right) e^{a} - b^{5} e^{a} \sin\left(5 \, c\right) - 26 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) - 25 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(3 \, d x - 2 \, c\right) e^{\left(b x\right)} - 2 \, {\left(b^{4} d \cos\left(5 \, c\right) e^{a} + 34 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 225 \, d^{5} \cos\left(5 \, c\right) e^{a} + b^{5} e^{a} \sin\left(5 \, c\right) + 34 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) + 225 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(d x + 6 \, c\right) e^{\left(b x\right)} - 2 \, {\left(b^{4} d \cos\left(5 \, c\right) e^{a} + 34 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 225 \, d^{5} \cos\left(5 \, c\right) e^{a} - b^{5} e^{a} \sin\left(5 \, c\right) - 34 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) - 225 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(d x - 4 \, c\right) e^{\left(b x\right)} - {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 10 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 9 \, b d^{4} \cos\left(5 \, c\right) e^{a} + 5 \, b^{4} d e^{a} \sin\left(5 \, c\right) + 50 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) + 45 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(5 \, d x\right) - {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 10 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 9 \, b d^{4} \cos\left(5 \, c\right) e^{a} - 5 \, b^{4} d e^{a} \sin\left(5 \, c\right) - 50 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) - 45 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(5 \, d x + 10 \, c\right) + {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 26 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 25 \, b d^{4} \cos\left(5 \, c\right) e^{a} - 3 \, b^{4} d e^{a} \sin\left(5 \, c\right) - 78 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) - 75 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x + 8 \, c\right) + {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 26 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 25 \, b d^{4} \cos\left(5 \, c\right) e^{a} + 3 \, b^{4} d e^{a} \sin\left(5 \, c\right) + 78 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) + 75 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x - 2 \, c\right) + 2 \, {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 34 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 225 \, b d^{4} \cos\left(5 \, c\right) e^{a} - b^{4} d e^{a} \sin\left(5 \, c\right) - 34 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) - 225 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x + 6 \, c\right) + 2 \, {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 34 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 225 \, b d^{4} \cos\left(5 \, c\right) e^{a} + b^{4} d e^{a} \sin\left(5 \, c\right) + 34 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) + 225 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x - 4 \, c\right)}{32 \, {\left(b^{6} \cos\left(5 \, c\right)^{2} + b^{6} \sin\left(5 \, c\right)^{2} + 225 \, {\left(\cos\left(5 \, c\right)^{2} + \sin\left(5 \, c\right)^{2}\right)} d^{6} + 259 \, {\left(b^{2} \cos\left(5 \, c\right)^{2} + b^{2} \sin\left(5 \, c\right)^{2}\right)} d^{4} + 35 \, {\left(b^{4} \cos\left(5 \, c\right)^{2} + b^{4} \sin\left(5 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"1/32*((5*b^4*d*cos(5*c)*e^a + 50*b^2*d^3*cos(5*c)*e^a + 45*d^5*cos(5*c)*e^a - b^5*e^a*sin(5*c) - 10*b^3*d^2*e^a*sin(5*c) - 9*b*d^4*e^a*sin(5*c))*cos(5*d*x)*e^(b*x) + (5*b^4*d*cos(5*c)*e^a + 50*b^2*d^3*cos(5*c)*e^a + 45*d^5*cos(5*c)*e^a + b^5*e^a*sin(5*c) + 10*b^3*d^2*e^a*sin(5*c) + 9*b*d^4*e^a*sin(5*c))*cos(5*d*x + 10*c)*e^(b*x) - (3*b^4*d*cos(5*c)*e^a + 78*b^2*d^3*cos(5*c)*e^a + 75*d^5*cos(5*c)*e^a + b^5*e^a*sin(5*c) + 26*b^3*d^2*e^a*sin(5*c) + 25*b*d^4*e^a*sin(5*c))*cos(3*d*x + 8*c)*e^(b*x) - (3*b^4*d*cos(5*c)*e^a + 78*b^2*d^3*cos(5*c)*e^a + 75*d^5*cos(5*c)*e^a - b^5*e^a*sin(5*c) - 26*b^3*d^2*e^a*sin(5*c) - 25*b*d^4*e^a*sin(5*c))*cos(3*d*x - 2*c)*e^(b*x) - 2*(b^4*d*cos(5*c)*e^a + 34*b^2*d^3*cos(5*c)*e^a + 225*d^5*cos(5*c)*e^a + b^5*e^a*sin(5*c) + 34*b^3*d^2*e^a*sin(5*c) + 225*b*d^4*e^a*sin(5*c))*cos(d*x + 6*c)*e^(b*x) - 2*(b^4*d*cos(5*c)*e^a + 34*b^2*d^3*cos(5*c)*e^a + 225*d^5*cos(5*c)*e^a - b^5*e^a*sin(5*c) - 34*b^3*d^2*e^a*sin(5*c) - 225*b*d^4*e^a*sin(5*c))*cos(d*x - 4*c)*e^(b*x) - (b^5*cos(5*c)*e^a + 10*b^3*d^2*cos(5*c)*e^a + 9*b*d^4*cos(5*c)*e^a + 5*b^4*d*e^a*sin(5*c) + 50*b^2*d^3*e^a*sin(5*c) + 45*d^5*e^a*sin(5*c))*e^(b*x)*sin(5*d*x) - (b^5*cos(5*c)*e^a + 10*b^3*d^2*cos(5*c)*e^a + 9*b*d^4*cos(5*c)*e^a - 5*b^4*d*e^a*sin(5*c) - 50*b^2*d^3*e^a*sin(5*c) - 45*d^5*e^a*sin(5*c))*e^(b*x)*sin(5*d*x + 10*c) + (b^5*cos(5*c)*e^a + 26*b^3*d^2*cos(5*c)*e^a + 25*b*d^4*cos(5*c)*e^a - 3*b^4*d*e^a*sin(5*c) - 78*b^2*d^3*e^a*sin(5*c) - 75*d^5*e^a*sin(5*c))*e^(b*x)*sin(3*d*x + 8*c) + (b^5*cos(5*c)*e^a + 26*b^3*d^2*cos(5*c)*e^a + 25*b*d^4*cos(5*c)*e^a + 3*b^4*d*e^a*sin(5*c) + 78*b^2*d^3*e^a*sin(5*c) + 75*d^5*e^a*sin(5*c))*e^(b*x)*sin(3*d*x - 2*c) + 2*(b^5*cos(5*c)*e^a + 34*b^3*d^2*cos(5*c)*e^a + 225*b*d^4*cos(5*c)*e^a - b^4*d*e^a*sin(5*c) - 34*b^2*d^3*e^a*sin(5*c) - 225*d^5*e^a*sin(5*c))*e^(b*x)*sin(d*x + 6*c) + 2*(b^5*cos(5*c)*e^a + 34*b^3*d^2*cos(5*c)*e^a + 225*b*d^4*cos(5*c)*e^a + b^4*d*e^a*sin(5*c) + 34*b^2*d^3*e^a*sin(5*c) + 225*d^5*e^a*sin(5*c))*e^(b*x)*sin(d*x - 4*c))/(b^6*cos(5*c)^2 + b^6*sin(5*c)^2 + 225*(cos(5*c)^2 + sin(5*c)^2)*d^6 + 259*(b^2*cos(5*c)^2 + b^2*sin(5*c)^2)*d^4 + 35*(b^4*cos(5*c)^2 + b^4*sin(5*c)^2)*d^2)","B",0
44,1,550,0,0.354955," ","integrate(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(4 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 16 \, d^{3} \cos\left(4 \, c\right) e^{a} - b^{3} e^{a} \sin\left(4 \, c\right) - 4 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(4 \, d x\right) e^{\left(b x\right)} + {\left(4 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 16 \, d^{3} \cos\left(4 \, c\right) e^{a} + b^{3} e^{a} \sin\left(4 \, c\right) + 4 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(4 \, d x + 8 \, c\right) e^{\left(b x\right)} + 2 \, {\left(2 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 32 \, d^{3} \cos\left(4 \, c\right) e^{a} + b^{3} e^{a} \sin\left(4 \, c\right) + 16 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(2 \, d x + 6 \, c\right) e^{\left(b x\right)} + 2 \, {\left(2 \, b^{2} d \cos\left(4 \, c\right) e^{a} + 32 \, d^{3} \cos\left(4 \, c\right) e^{a} - b^{3} e^{a} \sin\left(4 \, c\right) - 16 \, b d^{2} e^{a} \sin\left(4 \, c\right)\right)} \cos\left(2 \, d x - 2 \, c\right) e^{\left(b x\right)} - {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 4 \, b d^{2} \cos\left(4 \, c\right) e^{a} + 4 \, b^{2} d e^{a} \sin\left(4 \, c\right) + 16 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(4 \, d x\right) - {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 4 \, b d^{2} \cos\left(4 \, c\right) e^{a} - 4 \, b^{2} d e^{a} \sin\left(4 \, c\right) - 16 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(4 \, d x + 8 \, c\right) - 2 \, {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 16 \, b d^{2} \cos\left(4 \, c\right) e^{a} - 2 \, b^{2} d e^{a} \sin\left(4 \, c\right) - 32 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(2 \, d x + 6 \, c\right) - 2 \, {\left(b^{3} \cos\left(4 \, c\right) e^{a} + 16 \, b d^{2} \cos\left(4 \, c\right) e^{a} + 2 \, b^{2} d e^{a} \sin\left(4 \, c\right) + 32 \, d^{3} e^{a} \sin\left(4 \, c\right)\right)} e^{\left(b x\right)} \sin\left(2 \, d x - 2 \, c\right)}{16 \, {\left(b^{4} \cos\left(4 \, c\right)^{2} + b^{4} \sin\left(4 \, c\right)^{2} + 64 \, {\left(\cos\left(4 \, c\right)^{2} + \sin\left(4 \, c\right)^{2}\right)} d^{4} + 20 \, {\left(b^{2} \cos\left(4 \, c\right)^{2} + b^{2} \sin\left(4 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"-1/16*((4*b^2*d*cos(4*c)*e^a + 16*d^3*cos(4*c)*e^a - b^3*e^a*sin(4*c) - 4*b*d^2*e^a*sin(4*c))*cos(4*d*x)*e^(b*x) + (4*b^2*d*cos(4*c)*e^a + 16*d^3*cos(4*c)*e^a + b^3*e^a*sin(4*c) + 4*b*d^2*e^a*sin(4*c))*cos(4*d*x + 8*c)*e^(b*x) + 2*(2*b^2*d*cos(4*c)*e^a + 32*d^3*cos(4*c)*e^a + b^3*e^a*sin(4*c) + 16*b*d^2*e^a*sin(4*c))*cos(2*d*x + 6*c)*e^(b*x) + 2*(2*b^2*d*cos(4*c)*e^a + 32*d^3*cos(4*c)*e^a - b^3*e^a*sin(4*c) - 16*b*d^2*e^a*sin(4*c))*cos(2*d*x - 2*c)*e^(b*x) - (b^3*cos(4*c)*e^a + 4*b*d^2*cos(4*c)*e^a + 4*b^2*d*e^a*sin(4*c) + 16*d^3*e^a*sin(4*c))*e^(b*x)*sin(4*d*x) - (b^3*cos(4*c)*e^a + 4*b*d^2*cos(4*c)*e^a - 4*b^2*d*e^a*sin(4*c) - 16*d^3*e^a*sin(4*c))*e^(b*x)*sin(4*d*x + 8*c) - 2*(b^3*cos(4*c)*e^a + 16*b*d^2*cos(4*c)*e^a - 2*b^2*d*e^a*sin(4*c) - 32*d^3*e^a*sin(4*c))*e^(b*x)*sin(2*d*x + 6*c) - 2*(b^3*cos(4*c)*e^a + 16*b*d^2*cos(4*c)*e^a + 2*b^2*d*e^a*sin(4*c) + 32*d^3*e^a*sin(4*c))*e^(b*x)*sin(2*d*x - 2*c))/(b^4*cos(4*c)^2 + b^4*sin(4*c)^2 + 64*(cos(4*c)^2 + sin(4*c)^2)*d^4 + 20*(b^2*cos(4*c)^2 + b^2*sin(4*c)^2)*d^2)","B",0
45,1,1144,0,0.392719," ","integrate(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c)^2,x, algorithm=""maxima"")","-\frac{{\left(b^{5} \cos\left(5 \, c\right) e^{a} + 10 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 9 \, b d^{4} \cos\left(5 \, c\right) e^{a} + 5 \, b^{4} d e^{a} \sin\left(5 \, c\right) + 50 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) + 45 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(5 \, d x\right) e^{\left(b x\right)} + {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 10 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 9 \, b d^{4} \cos\left(5 \, c\right) e^{a} - 5 \, b^{4} d e^{a} \sin\left(5 \, c\right) - 50 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) - 45 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(5 \, d x + 10 \, c\right) e^{\left(b x\right)} + {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 26 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 25 \, b d^{4} \cos\left(5 \, c\right) e^{a} - 3 \, b^{4} d e^{a} \sin\left(5 \, c\right) - 78 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) - 75 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(3 \, d x + 8 \, c\right) e^{\left(b x\right)} + {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 26 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 25 \, b d^{4} \cos\left(5 \, c\right) e^{a} + 3 \, b^{4} d e^{a} \sin\left(5 \, c\right) + 78 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) + 75 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(3 \, d x - 2 \, c\right) e^{\left(b x\right)} - 2 \, {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 34 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 225 \, b d^{4} \cos\left(5 \, c\right) e^{a} - b^{4} d e^{a} \sin\left(5 \, c\right) - 34 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) - 225 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(d x + 6 \, c\right) e^{\left(b x\right)} - 2 \, {\left(b^{5} \cos\left(5 \, c\right) e^{a} + 34 \, b^{3} d^{2} \cos\left(5 \, c\right) e^{a} + 225 \, b d^{4} \cos\left(5 \, c\right) e^{a} + b^{4} d e^{a} \sin\left(5 \, c\right) + 34 \, b^{2} d^{3} e^{a} \sin\left(5 \, c\right) + 225 \, d^{5} e^{a} \sin\left(5 \, c\right)\right)} \cos\left(d x - 4 \, c\right) e^{\left(b x\right)} + {\left(5 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 50 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 45 \, d^{5} \cos\left(5 \, c\right) e^{a} - b^{5} e^{a} \sin\left(5 \, c\right) - 10 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) - 9 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(5 \, d x\right) + {\left(5 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 50 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 45 \, d^{5} \cos\left(5 \, c\right) e^{a} + b^{5} e^{a} \sin\left(5 \, c\right) + 10 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) + 9 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(5 \, d x + 10 \, c\right) + {\left(3 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 78 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 75 \, d^{5} \cos\left(5 \, c\right) e^{a} + b^{5} e^{a} \sin\left(5 \, c\right) + 26 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) + 25 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x + 8 \, c\right) + {\left(3 \, b^{4} d \cos\left(5 \, c\right) e^{a} + 78 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 75 \, d^{5} \cos\left(5 \, c\right) e^{a} - b^{5} e^{a} \sin\left(5 \, c\right) - 26 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) - 25 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(3 \, d x - 2 \, c\right) - 2 \, {\left(b^{4} d \cos\left(5 \, c\right) e^{a} + 34 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 225 \, d^{5} \cos\left(5 \, c\right) e^{a} + b^{5} e^{a} \sin\left(5 \, c\right) + 34 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) + 225 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x + 6 \, c\right) - 2 \, {\left(b^{4} d \cos\left(5 \, c\right) e^{a} + 34 \, b^{2} d^{3} \cos\left(5 \, c\right) e^{a} + 225 \, d^{5} \cos\left(5 \, c\right) e^{a} - b^{5} e^{a} \sin\left(5 \, c\right) - 34 \, b^{3} d^{2} e^{a} \sin\left(5 \, c\right) - 225 \, b d^{4} e^{a} \sin\left(5 \, c\right)\right)} e^{\left(b x\right)} \sin\left(d x - 4 \, c\right)}{32 \, {\left(b^{6} \cos\left(5 \, c\right)^{2} + b^{6} \sin\left(5 \, c\right)^{2} + 225 \, {\left(\cos\left(5 \, c\right)^{2} + \sin\left(5 \, c\right)^{2}\right)} d^{6} + 259 \, {\left(b^{2} \cos\left(5 \, c\right)^{2} + b^{2} \sin\left(5 \, c\right)^{2}\right)} d^{4} + 35 \, {\left(b^{4} \cos\left(5 \, c\right)^{2} + b^{4} \sin\left(5 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"-1/32*((b^5*cos(5*c)*e^a + 10*b^3*d^2*cos(5*c)*e^a + 9*b*d^4*cos(5*c)*e^a + 5*b^4*d*e^a*sin(5*c) + 50*b^2*d^3*e^a*sin(5*c) + 45*d^5*e^a*sin(5*c))*cos(5*d*x)*e^(b*x) + (b^5*cos(5*c)*e^a + 10*b^3*d^2*cos(5*c)*e^a + 9*b*d^4*cos(5*c)*e^a - 5*b^4*d*e^a*sin(5*c) - 50*b^2*d^3*e^a*sin(5*c) - 45*d^5*e^a*sin(5*c))*cos(5*d*x + 10*c)*e^(b*x) + (b^5*cos(5*c)*e^a + 26*b^3*d^2*cos(5*c)*e^a + 25*b*d^4*cos(5*c)*e^a - 3*b^4*d*e^a*sin(5*c) - 78*b^2*d^3*e^a*sin(5*c) - 75*d^5*e^a*sin(5*c))*cos(3*d*x + 8*c)*e^(b*x) + (b^5*cos(5*c)*e^a + 26*b^3*d^2*cos(5*c)*e^a + 25*b*d^4*cos(5*c)*e^a + 3*b^4*d*e^a*sin(5*c) + 78*b^2*d^3*e^a*sin(5*c) + 75*d^5*e^a*sin(5*c))*cos(3*d*x - 2*c)*e^(b*x) - 2*(b^5*cos(5*c)*e^a + 34*b^3*d^2*cos(5*c)*e^a + 225*b*d^4*cos(5*c)*e^a - b^4*d*e^a*sin(5*c) - 34*b^2*d^3*e^a*sin(5*c) - 225*d^5*e^a*sin(5*c))*cos(d*x + 6*c)*e^(b*x) - 2*(b^5*cos(5*c)*e^a + 34*b^3*d^2*cos(5*c)*e^a + 225*b*d^4*cos(5*c)*e^a + b^4*d*e^a*sin(5*c) + 34*b^2*d^3*e^a*sin(5*c) + 225*d^5*e^a*sin(5*c))*cos(d*x - 4*c)*e^(b*x) + (5*b^4*d*cos(5*c)*e^a + 50*b^2*d^3*cos(5*c)*e^a + 45*d^5*cos(5*c)*e^a - b^5*e^a*sin(5*c) - 10*b^3*d^2*e^a*sin(5*c) - 9*b*d^4*e^a*sin(5*c))*e^(b*x)*sin(5*d*x) + (5*b^4*d*cos(5*c)*e^a + 50*b^2*d^3*cos(5*c)*e^a + 45*d^5*cos(5*c)*e^a + b^5*e^a*sin(5*c) + 10*b^3*d^2*e^a*sin(5*c) + 9*b*d^4*e^a*sin(5*c))*e^(b*x)*sin(5*d*x + 10*c) + (3*b^4*d*cos(5*c)*e^a + 78*b^2*d^3*cos(5*c)*e^a + 75*d^5*cos(5*c)*e^a + b^5*e^a*sin(5*c) + 26*b^3*d^2*e^a*sin(5*c) + 25*b*d^4*e^a*sin(5*c))*e^(b*x)*sin(3*d*x + 8*c) + (3*b^4*d*cos(5*c)*e^a + 78*b^2*d^3*cos(5*c)*e^a + 75*d^5*cos(5*c)*e^a - b^5*e^a*sin(5*c) - 26*b^3*d^2*e^a*sin(5*c) - 25*b*d^4*e^a*sin(5*c))*e^(b*x)*sin(3*d*x - 2*c) - 2*(b^4*d*cos(5*c)*e^a + 34*b^2*d^3*cos(5*c)*e^a + 225*d^5*cos(5*c)*e^a + b^5*e^a*sin(5*c) + 34*b^3*d^2*e^a*sin(5*c) + 225*b*d^4*e^a*sin(5*c))*e^(b*x)*sin(d*x + 6*c) - 2*(b^4*d*cos(5*c)*e^a + 34*b^2*d^3*cos(5*c)*e^a + 225*d^5*cos(5*c)*e^a - b^5*e^a*sin(5*c) - 34*b^3*d^2*e^a*sin(5*c) - 225*b*d^4*e^a*sin(5*c))*e^(b*x)*sin(d*x - 4*c))/(b^6*cos(5*c)^2 + b^6*sin(5*c)^2 + 225*(cos(5*c)^2 + sin(5*c)^2)*d^6 + 259*(b^2*cos(5*c)^2 + b^2*sin(5*c)^2)*d^4 + 35*(b^4*cos(5*c)^2 + b^4*sin(5*c)^2)*d^2)","B",0
46,1,550,0,0.356655," ","integrate(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c)^3,x, algorithm=""maxima"")","\frac{{\left(6 \, b^{2} d \cos\left(6 \, c\right) e^{a} + 24 \, d^{3} \cos\left(6 \, c\right) e^{a} - b^{3} e^{a} \sin\left(6 \, c\right) - 4 \, b d^{2} e^{a} \sin\left(6 \, c\right)\right)} \cos\left(6 \, d x\right) e^{\left(b x\right)} + {\left(6 \, b^{2} d \cos\left(6 \, c\right) e^{a} + 24 \, d^{3} \cos\left(6 \, c\right) e^{a} + b^{3} e^{a} \sin\left(6 \, c\right) + 4 \, b d^{2} e^{a} \sin\left(6 \, c\right)\right)} \cos\left(6 \, d x + 12 \, c\right) e^{\left(b x\right)} - 3 \, {\left(2 \, b^{2} d \cos\left(6 \, c\right) e^{a} + 72 \, d^{3} \cos\left(6 \, c\right) e^{a} + b^{3} e^{a} \sin\left(6 \, c\right) + 36 \, b d^{2} e^{a} \sin\left(6 \, c\right)\right)} \cos\left(2 \, d x + 8 \, c\right) e^{\left(b x\right)} - 3 \, {\left(2 \, b^{2} d \cos\left(6 \, c\right) e^{a} + 72 \, d^{3} \cos\left(6 \, c\right) e^{a} - b^{3} e^{a} \sin\left(6 \, c\right) - 36 \, b d^{2} e^{a} \sin\left(6 \, c\right)\right)} \cos\left(2 \, d x - 4 \, c\right) e^{\left(b x\right)} - {\left(b^{3} \cos\left(6 \, c\right) e^{a} + 4 \, b d^{2} \cos\left(6 \, c\right) e^{a} + 6 \, b^{2} d e^{a} \sin\left(6 \, c\right) + 24 \, d^{3} e^{a} \sin\left(6 \, c\right)\right)} e^{\left(b x\right)} \sin\left(6 \, d x\right) - {\left(b^{3} \cos\left(6 \, c\right) e^{a} + 4 \, b d^{2} \cos\left(6 \, c\right) e^{a} - 6 \, b^{2} d e^{a} \sin\left(6 \, c\right) - 24 \, d^{3} e^{a} \sin\left(6 \, c\right)\right)} e^{\left(b x\right)} \sin\left(6 \, d x + 12 \, c\right) + 3 \, {\left(b^{3} \cos\left(6 \, c\right) e^{a} + 36 \, b d^{2} \cos\left(6 \, c\right) e^{a} - 2 \, b^{2} d e^{a} \sin\left(6 \, c\right) - 72 \, d^{3} e^{a} \sin\left(6 \, c\right)\right)} e^{\left(b x\right)} \sin\left(2 \, d x + 8 \, c\right) + 3 \, {\left(b^{3} \cos\left(6 \, c\right) e^{a} + 36 \, b d^{2} \cos\left(6 \, c\right) e^{a} + 2 \, b^{2} d e^{a} \sin\left(6 \, c\right) + 72 \, d^{3} e^{a} \sin\left(6 \, c\right)\right)} e^{\left(b x\right)} \sin\left(2 \, d x - 4 \, c\right)}{64 \, {\left(b^{4} \cos\left(6 \, c\right)^{2} + b^{4} \sin\left(6 \, c\right)^{2} + 144 \, {\left(\cos\left(6 \, c\right)^{2} + \sin\left(6 \, c\right)^{2}\right)} d^{4} + 40 \, {\left(b^{2} \cos\left(6 \, c\right)^{2} + b^{2} \sin\left(6 \, c\right)^{2}\right)} d^{2}\right)}}"," ",0,"1/64*((6*b^2*d*cos(6*c)*e^a + 24*d^3*cos(6*c)*e^a - b^3*e^a*sin(6*c) - 4*b*d^2*e^a*sin(6*c))*cos(6*d*x)*e^(b*x) + (6*b^2*d*cos(6*c)*e^a + 24*d^3*cos(6*c)*e^a + b^3*e^a*sin(6*c) + 4*b*d^2*e^a*sin(6*c))*cos(6*d*x + 12*c)*e^(b*x) - 3*(2*b^2*d*cos(6*c)*e^a + 72*d^3*cos(6*c)*e^a + b^3*e^a*sin(6*c) + 36*b*d^2*e^a*sin(6*c))*cos(2*d*x + 8*c)*e^(b*x) - 3*(2*b^2*d*cos(6*c)*e^a + 72*d^3*cos(6*c)*e^a - b^3*e^a*sin(6*c) - 36*b*d^2*e^a*sin(6*c))*cos(2*d*x - 4*c)*e^(b*x) - (b^3*cos(6*c)*e^a + 4*b*d^2*cos(6*c)*e^a + 6*b^2*d*e^a*sin(6*c) + 24*d^3*e^a*sin(6*c))*e^(b*x)*sin(6*d*x) - (b^3*cos(6*c)*e^a + 4*b*d^2*cos(6*c)*e^a - 6*b^2*d*e^a*sin(6*c) - 24*d^3*e^a*sin(6*c))*e^(b*x)*sin(6*d*x + 12*c) + 3*(b^3*cos(6*c)*e^a + 36*b*d^2*cos(6*c)*e^a - 2*b^2*d*e^a*sin(6*c) - 72*d^3*e^a*sin(6*c))*e^(b*x)*sin(2*d*x + 8*c) + 3*(b^3*cos(6*c)*e^a + 36*b*d^2*cos(6*c)*e^a + 2*b^2*d*e^a*sin(6*c) + 72*d^3*e^a*sin(6*c))*e^(b*x)*sin(2*d*x - 4*c))/(b^4*cos(6*c)^2 + b^4*sin(6*c)^2 + 144*(cos(6*c)^2 + sin(6*c)^2)*d^4 + 40*(b^2*cos(6*c)^2 + b^2*sin(6*c)^2)*d^2)","B",0
47,1,17,0,0.321507," ","integrate(exp(x)*x*sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(x - 1\right)} \cos\left(x\right) e^{x} + \frac{1}{2} \, x e^{x} \sin\left(x\right)"," ",0,"-1/2*(x - 1)*cos(x)*e^x + 1/2*x*e^x*sin(x)","A",0
48,1,26,0,0.327363," ","integrate(exp(x)*x^2*sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(x^{2} - 2 \, x + 1\right)} \cos\left(x\right) e^{x} + \frac{1}{2} \, {\left(x^{2} - 1\right)} e^{x} \sin\left(x\right)"," ",0,"-1/2*(x^2 - 2*x + 1)*cos(x)*e^x + 1/2*(x^2 - 1)*e^x*sin(x)","A",0
49,1,17,0,0.317030," ","integrate(exp(x)*x*cos(x),x, algorithm=""maxima"")","\frac{1}{2} \, x \cos\left(x\right) e^{x} + \frac{1}{2} \, {\left(x - 1\right)} e^{x} \sin\left(x\right)"," ",0,"1/2*x*cos(x)*e^x + 1/2*(x - 1)*e^x*sin(x)","A",0
50,1,26,0,0.318578," ","integrate(exp(x)*x^2*cos(x),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x^{2} - 1\right)} \cos\left(x\right) e^{x} + \frac{1}{2} \, {\left(x^{2} - 2 \, x + 1\right)} e^{x} \sin\left(x\right)"," ",0,"1/2*(x^2 - 1)*cos(x)*e^x + 1/2*(x^2 - 2*x + 1)*e^x*sin(x)","A",0
51,1,39,0,0.312522," ","integrate(exp(3*x)*(-5*cos(4*x)+2*sin(4*x)),x, algorithm=""maxima"")","-\frac{2}{25} \, {\left(4 \, \cos\left(4 \, x\right) - 3 \, \sin\left(4 \, x\right)\right)} e^{\left(3 \, x\right)} - \frac{1}{5} \, {\left(3 \, \cos\left(4 \, x\right) + 4 \, \sin\left(4 \, x\right)\right)} e^{\left(3 \, x\right)}"," ",0,"-2/25*(4*cos(4*x) - 3*sin(4*x))*e^(3*x) - 1/5*(3*cos(4*x) + 4*sin(4*x))*e^(3*x)","A",0
52,1,23,0,0.317703," ","integrate(sin(x)/exp(x)+exp(x)*sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\cos\left(x\right) + \sin\left(x\right)\right)} e^{\left(-x\right)} - \frac{1}{2} \, {\left(\cos\left(x\right) - \sin\left(x\right)\right)} e^{x}"," ",0,"-1/2*(cos(x) + sin(x))*e^(-x) - 1/2*(cos(x) - sin(x))*e^x","A",0
53,0,0,0,0.000000," ","integrate(F^(b*x+a)*cos(d*x+c)/(e+e*sin(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, F^{b x} F^{a} b d \cos\left(d x + c\right) \log\left(F\right) + 2 \, F^{b x} F^{a} d^{2} \sin\left(d x + c\right) + {\left(F^{a} b^{2} \log\left(F\right)^{2} + F^{a} d^{2}\right)} F^{b x} \cos\left(d x + c\right)^{2} + {\left(F^{a} b^{2} \log\left(F\right)^{2} + F^{a} d^{2}\right)} F^{b x} \sin\left(d x + c\right)^{2} - {\left(F^{a} b^{2} \log\left(F\right)^{2} - F^{a} d^{2}\right)} F^{b x} - \frac{{\left(F^{b x} d \cos\left(d x + c\right)^{2} + 2 \, F^{b x} b \cos\left(d x + c\right) \log\left(F\right) + F^{b x} d \sin\left(d x + c\right)^{2} + 2 \, F^{b x} d \sin\left(d x + c\right) + F^{b x} d\right)} {\left({\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e \cos\left(d x + c\right)^{2} + {\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e \sin\left(d x + c\right)^{2} + 2 \, {\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e \sin\left(d x + c\right) + {\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e\right)}}{{\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \cos\left(d x + c\right)^{2} + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right)^{2} + 2 \, {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right) + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e}}{{\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \cos\left(d x + c\right)^{2} + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right)^{2} + 2 \, {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right) + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e}"," ",0,"-(2*F^(b*x)*F^a*b*d*cos(d*x + c)*log(F) + 2*F^(b*x)*F^a*d^2*sin(d*x + c) + (F^a*b^2*log(F)^2 + F^a*d^2)*F^(b*x)*cos(d*x + c)^2 + (F^a*b^2*log(F)^2 + F^a*d^2)*F^(b*x)*sin(d*x + c)^2 - (F^a*b^2*log(F)^2 - F^a*d^2)*F^(b*x) - 2*((F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e*cos(d*x + c)^2 + (F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e*sin(d*x + c)^2 + 2*(F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e*sin(d*x + c) + (F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e)*integrate((2*F^(b*x)*b*cos(d*x + c)*log(F) + F^(b*x)*b*log(F)*sin(2*d*x + 2*c) - F^(b*x)*d*cos(2*d*x + 2*c) + 2*F^(b*x)*d*sin(d*x + c) + F^(b*x)*d)/((b^2*log(F)^2 + d^2)*e*cos(2*d*x + 2*c)^2 + 4*(b^2*log(F)^2 + d^2)*e*cos(d*x + c)^2 + 4*(b^2*log(F)^2 + d^2)*e*cos(d*x + c)*sin(2*d*x + 2*c) + (b^2*log(F)^2 + d^2)*e*sin(2*d*x + 2*c)^2 + 4*(b^2*log(F)^2 + d^2)*e*sin(d*x + c)^2 + 4*(b^2*log(F)^2 + d^2)*e*sin(d*x + c) + (b^2*log(F)^2 + d^2)*e - 2*(2*(b^2*log(F)^2 + d^2)*e*sin(d*x + c) + (b^2*log(F)^2 + d^2)*e)*cos(2*d*x + 2*c)), x))/((b^3*log(F)^3 + b*d^2*log(F))*e*cos(d*x + c)^2 + (b^3*log(F)^3 + b*d^2*log(F))*e*sin(d*x + c)^2 + 2*(b^3*log(F)^3 + b*d^2*log(F))*e*sin(d*x + c) + (b^3*log(F)^3 + b*d^2*log(F))*e)","F",0
54,0,0,0,0.000000," ","integrate(F^(b*x+a)*cos(d*x+c)/(e-e*sin(d*x+c)),x, algorithm=""maxima"")","-\frac{2 \, F^{b x} F^{a} b d \cos\left(d x + c\right) \log\left(F\right) + 2 \, F^{b x} F^{a} d^{2} \sin\left(d x + c\right) - {\left(F^{a} b^{2} \log\left(F\right)^{2} + F^{a} d^{2}\right)} F^{b x} \cos\left(d x + c\right)^{2} - {\left(F^{a} b^{2} \log\left(F\right)^{2} + F^{a} d^{2}\right)} F^{b x} \sin\left(d x + c\right)^{2} + {\left(F^{a} b^{2} \log\left(F\right)^{2} - F^{a} d^{2}\right)} F^{b x} + \frac{{\left(F^{b x} d \cos\left(d x + c\right)^{2} - 2 \, F^{b x} b \cos\left(d x + c\right) \log\left(F\right) + F^{b x} d \sin\left(d x + c\right)^{2} - 2 \, F^{b x} d \sin\left(d x + c\right) + F^{b x} d\right)} {\left({\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e \cos\left(d x + c\right)^{2} + {\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e \sin\left(d x + c\right)^{2} - 2 \, {\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e \sin\left(d x + c\right) + {\left(F^{a} b^{3} d \log\left(F\right)^{3} + F^{a} b d^{3} \log\left(F\right)\right)} e\right)}}{{\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \cos\left(d x + c\right)^{2} + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right)^{2} - 2 \, {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right) + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e}}{{\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \cos\left(d x + c\right)^{2} + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right)^{2} - 2 \, {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e \sin\left(d x + c\right) + {\left(b^{3} \log\left(F\right)^{3} + b d^{2} \log\left(F\right)\right)} e}"," ",0,"-(2*F^(b*x)*F^a*b*d*cos(d*x + c)*log(F) + 2*F^(b*x)*F^a*d^2*sin(d*x + c) - (F^a*b^2*log(F)^2 + F^a*d^2)*F^(b*x)*cos(d*x + c)^2 - (F^a*b^2*log(F)^2 + F^a*d^2)*F^(b*x)*sin(d*x + c)^2 + (F^a*b^2*log(F)^2 - F^a*d^2)*F^(b*x) + 2*((F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e*cos(d*x + c)^2 + (F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e*sin(d*x + c)^2 - 2*(F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e*sin(d*x + c) + (F^a*b^3*d*log(F)^3 + F^a*b*d^3*log(F))*e)*integrate(-(2*F^(b*x)*b*cos(d*x + c)*log(F) - F^(b*x)*b*log(F)*sin(2*d*x + 2*c) + F^(b*x)*d*cos(2*d*x + 2*c) + 2*F^(b*x)*d*sin(d*x + c) - F^(b*x)*d)/((b^2*log(F)^2 + d^2)*e*cos(2*d*x + 2*c)^2 + 4*(b^2*log(F)^2 + d^2)*e*cos(d*x + c)^2 - 4*(b^2*log(F)^2 + d^2)*e*cos(d*x + c)*sin(2*d*x + 2*c) + (b^2*log(F)^2 + d^2)*e*sin(2*d*x + 2*c)^2 + 4*(b^2*log(F)^2 + d^2)*e*sin(d*x + c)^2 - 4*(b^2*log(F)^2 + d^2)*e*sin(d*x + c) + (b^2*log(F)^2 + d^2)*e + 2*(2*(b^2*log(F)^2 + d^2)*e*sin(d*x + c) - (b^2*log(F)^2 + d^2)*e)*cos(2*d*x + 2*c)), x))/((b^3*log(F)^3 + b*d^2*log(F))*e*cos(d*x + c)^2 + (b^3*log(F)^3 + b*d^2*log(F))*e*sin(d*x + c)^2 - 2*(b^3*log(F)^3 + b*d^2*log(F))*e*sin(d*x + c) + (b^3*log(F)^3 + b*d^2*log(F))*e)","F",0
55,-1,0,0,0.000000," ","integrate(F^(b*x+a)*sin(d*x+c)/(e+e*cos(d*x+c)),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate(F^(b*x+a)*sin(d*x+c)/(e-e*cos(d*x+c)),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,1,37,0,0.354622," ","integrate(exp(x^2)*sin(b*x),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{\pi} {\left(\operatorname{erf}\left(\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)} - \operatorname{erf}\left(-\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)}\right)}"," ",0,"1/4*sqrt(pi)*(erf(1/2*b + I*x)*e^(1/4*b^2) - erf(-1/2*b + I*x)*e^(1/4*b^2))","A",0
58,1,38,0,0.356959," ","integrate(exp(x^2)*cos(b*x),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{\pi} {\left(i \, \operatorname{erf}\left(\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)} + i \, \operatorname{erf}\left(-\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)}\right)}"," ",0,"-1/4*sqrt(pi)*(I*erf(1/2*b + I*x)*e^(1/4*b^2) + I*erf(-1/2*b + I*x)*e^(1/4*b^2))","A",0
59,1,51,0,0.329903," ","integrate(exp(x^2)*sin(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{\pi} {\left({\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \operatorname{erf}\left(\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)} - {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \operatorname{erf}\left(-\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)}\right)}"," ",0,"1/4*sqrt(pi)*((cos(a) - I*sin(a))*erf(1/2*b + I*x)*e^(1/4*b^2) - (cos(a) + I*sin(a))*erf(-1/2*b + I*x)*e^(1/4*b^2))","A",0
60,1,52,0,0.340300," ","integrate(exp(x^2)*cos(b*x+a),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{\pi} {\left({\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \operatorname{erf}\left(\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)} + {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \operatorname{erf}\left(-\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)}\right)}"," ",0,"-1/4*sqrt(pi)*((I*cos(a) + sin(a))*erf(1/2*b + I*x)*e^(1/4*b^2) + (I*cos(a) - sin(a))*erf(-1/2*b + I*x)*e^(1/4*b^2))","A",0
61,1,29,0,0.360239," ","integrate(exp(2*x^2)*x*cos(2*x^2),x, algorithm=""maxima"")","\frac{1}{8} \, \cos\left(2 \, x^{2}\right) e^{\left(2 \, x^{2}\right)} + \frac{1}{8} \, e^{\left(2 \, x^{2}\right)} \sin\left(2 \, x^{2}\right)"," ",0,"1/8*cos(2*x^2)*e^(2*x^2) + 1/8*e^(2*x^2)*sin(2*x^2)","A",0
62,1,5,0,0.338217," ","integrate(exp(x)*sin(exp(x)),x, algorithm=""maxima"")","-\cos\left(e^{x}\right)"," ",0,"-cos(e^x)","A",0
63,1,19,0,0.314991," ","integrate(exp(x)*csc(exp(x))*sec(exp(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(\sin\left(e^{x}\right)^{2} - 1\right) + \frac{1}{2} \, \log\left(\sin\left(e^{x}\right)^{2}\right)"," ",0,"-1/2*log(sin(e^x)^2 - 1) + 1/2*log(sin(e^x)^2)","B",0
64,1,3,0,0.308227," ","integrate(exp(x)*cos(exp(x)),x, algorithm=""maxima"")","\sin\left(e^{x}\right)"," ",0,"sin(e^x)","A",0
65,1,7,0,0.312799," ","integrate(exp(2*x)*cos(exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, \sin\left(e^{\left(2 \, x\right)}\right)"," ",0,"1/2*sin(e^(2*x))","A",0
66,1,7,0,0.316236," ","integrate(cos(exp(-2*x))/exp(2*x),x, algorithm=""maxima"")","-\frac{1}{2} \, \sin\left(e^{\left(-2 \, x\right)}\right)"," ",0,"-1/2*sin(e^(-2*x))","A",0
67,1,10,0,0.320588," ","integrate(exp(2*x)*cos(exp(x)),x, algorithm=""maxima"")","e^{x} \sin\left(e^{x}\right) + \cos\left(e^{x}\right)"," ",0,"e^x*sin(e^x) + cos(e^x)","A",0
68,1,24,0,0.319259," ","integrate(exp(-1+3*x)*cos(exp(-1+3*x))*sin(1+exp(-1+3*x)),x, algorithm=""maxima"")","\frac{1}{6} \, e^{\left(3 \, x - 1\right)} \sin\left(1\right) - \frac{1}{12} \, \cos\left(2 \, e^{\left(3 \, x - 1\right)} + 1\right)"," ",0,"1/6*e^(3*x - 1)*sin(1) - 1/12*cos(2*e^(3*x - 1) + 1)","A",0
69,1,4,0,0.308823," ","integrate(exp(x)*tan(exp(x)),x, algorithm=""maxima"")","\log\left(\sec\left(e^{x}\right)\right)"," ",0,"log(sec(e^x))","A",0
70,1,8,0,0.312623," ","integrate(exp(x)*sec(exp(x)),x, algorithm=""maxima"")","\log\left(\sec\left(e^{x}\right) + \tan\left(e^{x}\right)\right)"," ",0,"log(sec(e^x) + tan(e^x))","A",0
71,1,5,0,0.309730," ","integrate(exp(x)*sec(exp(x))*tan(exp(x)),x, algorithm=""maxima"")","\frac{1}{\cos\left(e^{x}\right)}"," ",0,"1/cos(e^x)","A",0
72,1,7,0,0.310551," ","integrate(exp(x)*csc(exp(x))^2,x, algorithm=""maxima"")","-\frac{1}{\tan\left(e^{x}\right)}"," ",0,"-1/tan(e^x)","A",0
73,1,28,0,0.314746," ","integrate(exp(x)*sin(b*x+a),x, algorithm=""maxima"")","-\frac{{\left(b \cos\left(b x + a\right) - \sin\left(b x + a\right)\right)} e^{x}}{b^{2} + 1}"," ",0,"-(b*cos(b*x + a) - sin(b*x + a))*e^x/(b^2 + 1)","A",0
74,1,100,0,0.344433," ","integrate(exp(x)*sin(c*x^2+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(-\left(i + 1\right) \, \cos\left(\frac{4 \, a c + 1}{4 \, c}\right) + \left(i - 1\right) \, \sin\left(\frac{4 \, a c + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x - 1}{2 \, \sqrt{i \, c}}\right) + {\left(-\left(i - 1\right) \, \cos\left(\frac{4 \, a c + 1}{4 \, c}\right) + \left(i + 1\right) \, \sin\left(\frac{4 \, a c + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + 1}{2 \, \sqrt{-i \, c}}\right)\right)}}{8 \, \sqrt{c}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*((-(I + 1)*cos(1/4*(4*a*c + 1)/c) + (I - 1)*sin(1/4*(4*a*c + 1)/c))*erf(1/2*(2*I*c*x - 1)/sqrt(I*c)) + (-(I - 1)*cos(1/4*(4*a*c + 1)/c) + (I + 1)*sin(1/4*(4*a*c + 1)/c))*erf(1/2*(2*I*c*x + 1)/sqrt(-I*c)))/sqrt(c)","A",0
75,1,131,0,0.352638," ","integrate(exp(x)*sin(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right) - \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, c x + i \, b - 1\right)} \sqrt{i \, c}}{2 \, c}\right) + {\left(-\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right) + \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, c x + i \, b + 1\right)} \sqrt{-i \, c}}{2 \, c}\right)\right)} e^{\left(-\frac{b}{2 \, c}\right)}}{8 \, \sqrt{c}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I + 1)*cos(-1/4*(b^2 - 4*a*c - 1)/c) - (I - 1)*sin(-1/4*(b^2 - 4*a*c - 1)/c))*erf(1/2*I*(2*I*c*x + I*b - 1)*sqrt(I*c)/c) + (-(I - 1)*cos(-1/4*(b^2 - 4*a*c - 1)/c) + (I + 1)*sin(-1/4*(b^2 - 4*a*c - 1)/c))*erf(1/2*I*(2*I*c*x + I*b + 1)*sqrt(-I*c)/c))*e^(-1/2*b/c)/sqrt(c)","A",0
76,1,51,0,0.328509," ","integrate(exp(x^2)*sin(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{\pi} {\left({\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \operatorname{erf}\left(\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)} - {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \operatorname{erf}\left(-\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)}\right)}"," ",0,"1/4*sqrt(pi)*((cos(a) - I*sin(a))*erf(1/2*b + I*x)*e^(1/4*b^2) - (cos(a) + I*sin(a))*erf(-1/2*b + I*x)*e^(1/4*b^2))","A",0
77,1,137,0,0.335980," ","integrate(exp(x^2)*sin(c*x^2+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, c - 1} x\right) + {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, c - 1} x\right)\right)} \sqrt{\sqrt{c^{2} + 1} + 1} - \sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(-i \, \cos\left(a\right) - \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, c - 1} x\right) + {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, c - 1} x\right)\right)} \sqrt{\sqrt{c^{2} + 1} - 1}}{8 \, {\left(c^{2} + 1\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2 + 2)*((cos(a) - I*sin(a))*erf(sqrt(I*c - 1)*x) + (cos(a) + I*sin(a))*erf(sqrt(-I*c - 1)*x))*sqrt(sqrt(c^2 + 1) + 1) - sqrt(pi)*sqrt(2*c^2 + 2)*((-I*cos(a) - sin(a))*erf(sqrt(I*c - 1)*x) + (I*cos(a) - sin(a))*erf(sqrt(-I*c - 1)*x))*sqrt(sqrt(c^2 + 1) - 1))/(c^2 + 1)","B",0
78,1,475,0,0.398453," ","integrate(exp(x^2)*sin(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(\cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} - i \, e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c + 1\right)} x - i \, b}{2 \, \sqrt{i \, c - 1}}\right) - {\left(\cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} + i \, e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c - 1\right)} x - i \, b}{2 \, \sqrt{-i \, c - 1}}\right)\right)} \sqrt{\sqrt{c^{2} + 1} + 1} - \sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(-i \, \cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} - e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c + 1\right)} x - i \, b}{2 \, \sqrt{i \, c - 1}}\right) + {\left(-i \, \cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} + e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c - 1\right)} x - i \, b}{2 \, \sqrt{-i \, c - 1}}\right)\right)} \sqrt{\sqrt{c^{2} + 1} - 1}}{8 \, {\left(c^{2} + 1\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2 + 2)*((cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) - I*e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c + 1)*x - I*b)/sqrt(I*c - 1)) - (cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) + I*e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c - 1)*x - I*b)/sqrt(-I*c - 1)))*sqrt(sqrt(c^2 + 1) + 1) - sqrt(pi)*sqrt(2*c^2 + 2)*((-I*cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) - e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c + 1)*x - I*b)/sqrt(I*c - 1)) + (-I*cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) + e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c - 1)*x - I*b)/sqrt(-I*c - 1)))*sqrt(sqrt(c^2 + 1) - 1))/(c^2 + 1)","B",0
79,1,147,0,0.343066," ","integrate(f^(b*x+a)*sin(f*x^2+d),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(-\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) + \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x - b \log\left(f\right)}{2 \, \sqrt{i \, f}}\right) + {\left(-\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) + \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-i \, f}}\right)\right)}}{8 \, \sqrt{f}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*((-(I + 1)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) + (I - 1)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x - b*log(f))/sqrt(I*f)) + (-(I - 1)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) + (I + 1)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x + b*log(f))/sqrt(-I*f)))/sqrt(f)","A",0
80,1,186,0,0.446450," ","integrate(f^(b*x+a)*sin(f*x^2+d)^2,x, algorithm=""maxima"")","\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) + \left(i + 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{4 i \, f x - b \log\left(f\right)}{2 \, \sqrt{2 i \, f}}\right) + {\left(\left(i + 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) + \left(i - 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{4 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-2 i \, f}}\right)\right)} f^{\frac{3}{2}} + 16 \, f^{b x} f^{a + 2}}{32 \, b f^{2} \log\left(f\right)}"," ",0,"1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*b*f^a*cos(1/8*(b^2*log(f)^2 + 16*d*f)/f)*log(f) + (I + 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 + 16*d*f)/f))*erf(1/2*(4*I*f*x - b*log(f))/sqrt(2*I*f)) + ((I + 1)*b*f^a*cos(1/8*(b^2*log(f)^2 + 16*d*f)/f)*log(f) + (I - 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 + 16*d*f)/f))*erf(1/2*(4*I*f*x + b*log(f))/sqrt(-2*I*f)))*f^(3/2) + 16*f^(b*x)*f^(a + 2))/(b*f^2*log(f))","A",0
81,1,302,0,0.459615," ","integrate(f^(b*x+a)*sin(f*x^2+d)^3,x, algorithm=""maxima"")","\frac{3 \cdot 9^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right) + \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{6 i \, f x - b \log\left(f\right)}{2 \, \sqrt{3 i \, f}}\right) + {\left(-\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right) + \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{6 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-3 i \, f}}\right)\right)} f^{\frac{3}{2}} + \sqrt{2} \sqrt{\pi} {\left({\left(\left(27 i + 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) - \left(27 i - 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x - b \log\left(f\right)}{2 \, \sqrt{i \, f}}\right) + {\left(\left(27 i - 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) - \left(27 i + 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-i \, f}}\right)\right)} f^{\frac{3}{2}}}{288 \, f^{2}}"," ",0,"1/288*(3*9^(1/4)*sqrt(2)*sqrt(pi)*((-(I + 1)*f^a*cos(1/12*(b^2*log(f)^2 + 36*d*f)/f) + (I - 1)*f^a*sin(1/12*(b^2*log(f)^2 + 36*d*f)/f))*erf(1/2*(6*I*f*x - b*log(f))/sqrt(3*I*f)) + (-(I - 1)*f^a*cos(1/12*(b^2*log(f)^2 + 36*d*f)/f) + (I + 1)*f^a*sin(1/12*(b^2*log(f)^2 + 36*d*f)/f))*erf(1/2*(6*I*f*x + b*log(f))/sqrt(-3*I*f)))*f^(3/2) + sqrt(2)*sqrt(pi)*(((27*I + 27)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) - (27*I - 27)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x - b*log(f))/sqrt(I*f)) + ((27*I - 27)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) - (27*I + 27)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x + b*log(f))/sqrt(-I*f)))*f^(3/2))/f^2","A",0
82,1,190,0,0.363562," ","integrate(f^(b*x+a)*sin(f*x^2+e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) - \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x - b \log\left(f\right) + i \, e\right)} \sqrt{i \, f}}{2 \, f}\right) + {\left(-\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) + \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x + b \log\left(f\right) + i \, e\right)} \sqrt{-i \, f}}{2 \, f}\right)\right)}}{8 \, \sqrt{f} f^{\frac{b e}{2 \, f}}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I + 1)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) - (I - 1)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x - b*log(f) + I*e)*sqrt(I*f)/f) + (-(I - 1)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) + (I + 1)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x + b*log(f) + I*e)*sqrt(-I*f)/f))/(sqrt(f)*f^(1/2*b*e/f))","A",0
83,1,240,0,0.457435," ","integrate(f^(b*x+a)*sin(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(i - 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) - \left(i + 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(4 i \, f x - b \log\left(f\right) + 2 i \, e\right)} \sqrt{2 i \, f}}{4 \, f}\right) + {\left(\left(i + 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) + \left(i - 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(4 i \, f x + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-2 i \, f}}{4 \, f}\right)\right)} f^{\frac{3}{2}} + 16 \, f^{a + 2} e^{\left(b x \log\left(f\right) + \frac{b e \log\left(f\right)}{2 \, f}\right)}}{32 \, b f^{2} f^{\frac{b e}{2 \, f}} \log\left(f\right)}"," ",0,"1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*((-(I - 1)*b*f^a*cos(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f)*log(f) - (I + 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f))*erf(1/4*I*(4*I*f*x - b*log(f) + 2*I*e)*sqrt(2*I*f)/f) + ((I + 1)*b*f^a*cos(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f)*log(f) + (I - 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f))*erf(1/4*I*(4*I*f*x + b*log(f) + 2*I*e)*sqrt(-2*I*f)/f))*f^(3/2) + 16*f^(a + 2)*e^(b*x*log(f) + 1/2*b*e*log(f)/f))/(b*f^2*f^(1/2*b*e/f)*log(f))","B",0
84,1,377,0,0.489476," ","integrate(f^(b*x+a)*sin(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","\frac{3 \cdot 9^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right) - \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(6 i \, f x - b \log\left(f\right) + 3 i \, e\right)} \sqrt{3 i \, f}}{6 \, f}\right) + {\left(-\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right) + \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(6 i \, f x + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-3 i \, f}}{6 \, f}\right)\right)} f^{\frac{3}{2}} + \sqrt{2} \sqrt{\pi} {\left({\left(-\left(27 i + 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) + \left(27 i - 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x - b \log\left(f\right) + i \, e\right)} \sqrt{i \, f}}{2 \, f}\right) + {\left(\left(27 i - 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) - \left(27 i + 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x + b \log\left(f\right) + i \, e\right)} \sqrt{-i \, f}}{2 \, f}\right)\right)} f^{\frac{3}{2}}}{288 \, f^{2} f^{\frac{b e}{2 \, f}}}"," ",0,"1/288*(3*9^(1/4)*sqrt(2)*sqrt(pi)*(((I + 1)*f^a*cos(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f) - (I - 1)*f^a*sin(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f))*erf(1/6*I*(6*I*f*x - b*log(f) + 3*I*e)*sqrt(3*I*f)/f) + (-(I - 1)*f^a*cos(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f) + (I + 1)*f^a*sin(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f))*erf(1/6*I*(6*I*f*x + b*log(f) + 3*I*e)*sqrt(-3*I*f)/f))*f^(3/2) + sqrt(2)*sqrt(pi)*((-(27*I + 27)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) + (27*I - 27)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x - b*log(f) + I*e)*sqrt(I*f)/f) + ((27*I - 27)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) - (27*I + 27)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x + b*log(f) + I*e)*sqrt(-I*f)/f))*f^(3/2))/(f^2*f^(1/2*b*e/f))","A",0
85,1,206,0,0.362002," ","integrate(f^(c*x^2+a)*sin(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(i \, \cos\left(d\right) + \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(d\right) + \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(i \, \cos\left(d\right) - \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(d\right) - \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) - i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{8 \, c \log\left(f\right)}"," ",0,"-1/8*sqrt(pi)*(f^a*(I*cos(d) + sin(d))*erf(x*conjugate(sqrt(-c*log(f))) + 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(-I*cos(d) + sin(d))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(I*cos(d) - sin(d))*erf(1/2*(2*c*x*log(f) + I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))) + f^a*(-I*cos(d) - sin(d))*erf(1/2*(2*c*x*log(f) - I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*log(f))","C",0
86,1,236,0,0.378087," ","integrate(f^(c*x^2+a)*sin(e*x+d)^2,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(2 \, d\right) - i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(2 \, d\right) + i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(2 \, d\right) + i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\frac{c x \log\left(f\right) + i \, e}{\sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(2 \, d\right) - i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\frac{c x \log\left(f\right) - i \, e}{\sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} - 2 \, f^{a} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}}\right) - 2 \, f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*sqrt(pi)*(f^a*(cos(2*d) - I*sin(2*d))*erf(x*conjugate(sqrt(-c*log(f))) + I*e*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) + f^a*(cos(2*d) + I*sin(2*d))*erf(x*conjugate(sqrt(-c*log(f))) - I*e*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) - f^a*(cos(2*d) + I*sin(2*d))*erf((c*x*log(f) + I*e)/sqrt(-c*log(f)))*e^(e^2/(c*log(f))) - f^a*(cos(2*d) - I*sin(2*d))*erf((c*x*log(f) - I*e)/sqrt(-c*log(f)))*e^(e^2/(c*log(f))) - 2*f^a*erf(x*conjugate(sqrt(-c*log(f)))) - 2*f^a*erf(sqrt(-c*log(f))*x))/sqrt(-c*log(f))","C",0
87,1,412,0,0.419989," ","integrate(f^(c*x^2+a)*sin(e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} {\left(f^{a} {\left(i \, \cos\left(3 \, d\right) + \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + \frac{3}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(3 \, d\right) + \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{3}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(i \, \cos\left(3 \, d\right) - \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + 3 i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(3 \, d\right) - \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) - 3 i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-3 i \, \cos\left(d\right) - 3 \, \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(3 i \, \cos\left(d\right) - 3 \, \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-3 i \, \cos\left(d\right) + 3 \, \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(3 i \, \cos\left(d\right) + 3 \, \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) - i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{32 \, c \log\left(f\right)}"," ",0,"1/32*sqrt(pi)*(f^a*(I*cos(3*d) + sin(3*d))*erf(x*conjugate(sqrt(-c*log(f))) + 3/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) + f^a*(-I*cos(3*d) + sin(3*d))*erf(x*conjugate(sqrt(-c*log(f))) - 3/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) + f^a*(I*cos(3*d) - sin(3*d))*erf(1/2*(2*c*x*log(f) + 3*I*e)/sqrt(-c*log(f)))*e^(9/4*e^2/(c*log(f))) + f^a*(-I*cos(3*d) - sin(3*d))*erf(1/2*(2*c*x*log(f) - 3*I*e)/sqrt(-c*log(f)))*e^(9/4*e^2/(c*log(f))) + f^a*(-3*I*cos(d) - 3*sin(d))*erf(x*conjugate(sqrt(-c*log(f))) + 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(3*I*cos(d) - 3*sin(d))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(-3*I*cos(d) + 3*sin(d))*erf(1/2*(2*c*x*log(f) + I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))) + f^a*(3*I*cos(d) + 3*sin(d))*erf(1/2*(2*c*x*log(f) - I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*log(f))","C",0
88,1,209,0,0.356992," ","integrate(f^(c*x^2+a)*sin(f*x^2+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left(f^{a} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + f^{a} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left(f^{a} {\left(-i \, \cos\left(d\right) - \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + f^{a} {\left(i \, \cos\left(d\right) - \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(f^a*(cos(d) - I*sin(d))*erf(sqrt(-c*log(f) + I*f)*x) + f^a*(cos(d) + I*sin(d))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(f^a*(-I*cos(d) - sin(d))*erf(sqrt(-c*log(f) + I*f)*x) + f^a*(I*cos(d) - sin(d))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*log(f)^2 + f^2)","B",0
89,1,315,0,0.381245," ","integrate(f^(c*x^2+a)*sin(f*x^2+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left(f^{a} {\left(i \, \cos\left(2 \, d\right) + \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 i \, f} x\right) + f^{a} {\left(-i \, \cos\left(2 \, d\right) + \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left(f^{a} {\left(\cos\left(2 \, d\right) - i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 i \, f} x\right) + f^{a} {\left(\cos\left(2 \, d\right) + i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} + 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}}\right) + {\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)\right)}}{16 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*(f^a*(I*cos(2*d) + sin(2*d))*erf(sqrt(-c*log(f) + 2*I*f)*x) + f^a*(-I*cos(2*d) + sin(2*d))*erf(sqrt(-c*log(f) - 2*I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*(f^a*(cos(2*d) - I*sin(2*d))*erf(sqrt(-c*log(f) + 2*I*f)*x) + f^a*(cos(2*d) + I*sin(2*d))*erf(sqrt(-c*log(f) - 2*I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) + 2*sqrt(pi)*((c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(x*conjugate(sqrt(-c*log(f)))) + (c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(sqrt(-c*log(f))*x)))/((c^2*log(f)^2 + 4*f^2)*sqrt(-c*log(f)))","C",0
90,1,671,0,0.396779," ","integrate(f^(c*x^2+a)*sin(f*x^2+d)^3,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(4096 \, c^{2} \cos\left(3 \, d\right) - 4096 i \, c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} + 4096 \, f^{a + 2} {\left(\cos\left(3 \, d\right) - i \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 i \, f} x\right) + {\left({\left(4096 \, c^{2} \cos\left(3 \, d\right) + 4096 i \, c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} + 4096 \, f^{a + 2} {\left(\cos\left(3 \, d\right) + i \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - 12288 \, \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(c^{2} \cos\left(d\right) - i \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + 9 \, f^{a + 2} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + {\left({\left(c^{2} \cos\left(d\right) + i \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + 9 \, f^{a + 2} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left(4096 \, {\left(i \, c^{2} \cos\left(3 \, d\right) + c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} - f^{a + 2} {\left(-4096 i \, \cos\left(3 \, d\right) - 4096 \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 i \, f} x\right) + {\left(4096 \, {\left(-i \, c^{2} \cos\left(3 \, d\right) + c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} - f^{a + 2} {\left(4096 i \, \cos\left(3 \, d\right) - 4096 \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(12288 i \, c^{2} \cos\left(d\right) + 12288 \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + f^{a + 2} {\left(110592 i \, \cos\left(d\right) + 110592 \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + {\left({\left(-12288 i \, c^{2} \cos\left(d\right) + 12288 \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + f^{a + 2} {\left(-110592 i \, \cos\left(d\right) + 110592 \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{131072 \, {\left(c^{4} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"-1/131072*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((4096*c^2*cos(3*d) - 4096*I*c^2*sin(3*d))*f^a*log(f)^2 + 4096*f^(a + 2)*(cos(3*d) - I*sin(3*d)))*erf(sqrt(-c*log(f) + 3*I*f)*x) + ((4096*c^2*cos(3*d) + 4096*I*c^2*sin(3*d))*f^a*log(f)^2 + 4096*f^(a + 2)*(cos(3*d) + I*sin(3*d)))*erf(sqrt(-c*log(f) - 3*I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - 12288*sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((c^2*cos(d) - I*c^2*sin(d))*f^a*log(f)^2 + 9*f^(a + 2)*(cos(d) - I*sin(d)))*erf(sqrt(-c*log(f) + I*f)*x) + ((c^2*cos(d) + I*c^2*sin(d))*f^a*log(f)^2 + 9*f^(a + 2)*(cos(d) + I*sin(d)))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*((4096*(I*c^2*cos(3*d) + c^2*sin(3*d))*f^a*log(f)^2 - f^(a + 2)*(-4096*I*cos(3*d) - 4096*sin(3*d)))*erf(sqrt(-c*log(f) + 3*I*f)*x) + (4096*(-I*c^2*cos(3*d) + c^2*sin(3*d))*f^a*log(f)^2 - f^(a + 2)*(4096*I*cos(3*d) - 4096*sin(3*d)))*erf(sqrt(-c*log(f) - 3*I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((12288*I*c^2*cos(d) + 12288*c^2*sin(d))*f^a*log(f)^2 + f^(a + 2)*(110592*I*cos(d) + 110592*sin(d)))*erf(sqrt(-c*log(f) + I*f)*x) + ((-12288*I*c^2*cos(d) + 12288*c^2*sin(d))*f^a*log(f)^2 + f^(a + 2)*(-110592*I*cos(d) + 110592*sin(d)))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*log(f)^4 + 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
91,1,760,0,0.364429," ","integrate(f^(c*x^2+a)*sin(f*x^2+e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(-i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}"," ",0,"-1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + (f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + (-I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*log(f)^2 + f^2)","B",0
92,1,863,0,0.382973," ","integrate(f^(c*x^2+a)*sin(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) + f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) - 2 i \, f\right)} x - i \, e}{\sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(-i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) + f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) + 2 i \, f\right)} x + i \, e}{\sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) - i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) - 2 i \, f\right)} x - i \, e}{\sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) + i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) + 2 i \, f\right)} x + i \, e}{\sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}}\right) + {\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)\right)}}{16 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) + f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) - 2*I*f)*x - I*e)/sqrt(-c*log(f) + 2*I*f)) + (-I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) + f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) + 2*I*f)*x + I*e)/sqrt(-c*log(f) - 2*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) - I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) - 2*I*f)*x - I*e)/sqrt(-c*log(f) + 2*I*f)) + (f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) + I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) + 2*I*f)*x + I*e)/sqrt(-c*log(f) - 2*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - 2*sqrt(pi)*((c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(x*conjugate(sqrt(-c*log(f)))) + (c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(sqrt(-c*log(f))*x)))/((c^2*log(f)^2 + 4*f^2)*sqrt(-c*log(f)))","C",0
93,1,2180,0,0.442801," ","integrate(f^(c*x^2+a)*sin(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(-i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x - 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(-3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x - 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(-i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(-3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - 3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left({\left(3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - 3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{32 \, {\left(c^{4} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"1/32*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) + (-I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 - I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x - 3*I*e)/sqrt(-c*log(f) + 3*I*f)) + ((c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) + (I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + 3*I*e)/sqrt(-c*log(f) - 3*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - (3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + (3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - (-3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 - 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x - 3*I*e)/sqrt(-c*log(f) + 3*I*f)) + ((-I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 - I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + 3*I*e)/sqrt(-c*log(f) - 3*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((-3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 - 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - 3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + ((3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - 3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*log(f)^4 + 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
94,1,354,0,0.395251," ","integrate(f^(c*x^2+b*x+a)*sin(e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} {\left(f^{a} {\left(i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{8 \, c f^{\frac{b^{2}}{4 \, c}} \log\left(f\right)}"," ",0,"1/8*sqrt(pi)*(f^a*(I*cos(-1/2*(2*c*d - b*e)/c) + sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(-I*cos(-1/2*(2*c*d - b*e)/c) + sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(I*cos(-1/2*(2*c*d - b*e)/c) + sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))) + f^a*(-I*cos(-1/2*(2*c*d - b*e)/c) + sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*f^(1/4*b^2/c)*log(f))","C",0
95,1,399,0,0.391761," ","integrate(f^(c*x^2+b*x+a)*sin(e*x+d)^2,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + 2 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - 2 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - 2 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} - 2 \, f^{a} \operatorname{erf}\left(-\frac{1}{2} \, b \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}} \log\left(f\right) + x \overline{\sqrt{-c \log\left(f\right)}}\right) + 2 \, f^{a} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)\right)}}{16 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"-1/16*sqrt(pi)*(f^a*(cos(-(2*c*d - b*e)/c) - I*sin(-(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + 2*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) + f^a*(cos(-(2*c*d - b*e)/c) + I*sin(-(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - 2*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) + f^a*(cos(-(2*c*d - b*e)/c) - I*sin(-(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + 2*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(e^2/(c*log(f))) + f^a*(cos(-(2*c*d - b*e)/c) + I*sin(-(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - 2*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(e^2/(c*log(f))) - 2*f^a*erf(-1/2*b*conjugate(1/sqrt(-c*log(f)))*log(f) + x*conjugate(sqrt(-c*log(f)))) + 2*f^a*erf(1/2*(2*c*x*log(f) + b*log(f))/sqrt(-c*log(f))))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","C",0
96,1,684,0,0.413075," ","integrate(f^(c*x^2+b*x+a)*sin(e*x+d)^3,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(i \, \cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) + \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + 3 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) + \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - 3 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(i \, \cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) + \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-i \, \cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) + \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - 3 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-3 i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - 3 \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(3 i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - 3 \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(-3 i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - 3 \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(3 i \, \cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - 3 \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{32 \, c f^{\frac{b^{2}}{4 \, c}} \log\left(f\right)}"," ",0,"-1/32*sqrt(pi)*(f^a*(I*cos(-3/2*(2*c*d - b*e)/c) + sin(-3/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + 3*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) + f^a*(-I*cos(-3/2*(2*c*d - b*e)/c) + sin(-3/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - 3*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) + f^a*(I*cos(-3/2*(2*c*d - b*e)/c) + sin(-3/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + 3*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(9/4*e^2/(c*log(f))) + f^a*(-I*cos(-3/2*(2*c*d - b*e)/c) + sin(-3/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - 3*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(9/4*e^2/(c*log(f))) + f^a*(-3*I*cos(-1/2*(2*c*d - b*e)/c) - 3*sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(3*I*cos(-1/2*(2*c*d - b*e)/c) - 3*sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(-3*I*cos(-1/2*(2*c*d - b*e)/c) - 3*sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))) + f^a*(3*I*cos(-1/2*(2*c*d - b*e)/c) - 3*sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*f^(1/4*b^2/c)*log(f))","C",0
97,1,647,0,0.367250," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - i \, f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + i \, f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(i \, f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(-i \, f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"-1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - I*f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + (f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + I*f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((I*f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + (-I*f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))","B",0
98,1,997,0,0.375790," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+d)^2,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) + f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(-i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) + f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) - i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) + i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)}\right)} \operatorname{erf}\left(-\frac{1}{2} \, b \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}} \log\left(f\right) + x \overline{\sqrt{-c \log\left(f\right)}}\right) - {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)}\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)\right)}}{16 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \log\left(f\right)^{2} + 4 \, f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((I*f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) + f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f))/sqrt(-c*log(f) + 2*I*f)) + (-I*f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) + f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f))/sqrt(-c*log(f) - 2*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) - I*f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f))/sqrt(-c*log(f) + 2*I*f)) + (f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) + I*f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f))/sqrt(-c*log(f) - 2*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - 2*sqrt(pi)*((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2)))*erf(-1/2*b*conjugate(1/sqrt(-c*log(f)))*log(f) + x*conjugate(sqrt(-c*log(f)))) - (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*c*x*log(f) + b*log(f))/sqrt(-c*log(f)))))/((c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*log(f)^2 + 4*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c))*sqrt(-c*log(f)))","C",0
99,1,2456,0,0.418472," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left({\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{32 \, {\left(c^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"1/32*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f))/sqrt(-c*log(f) + 3*I*f)) + ((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f))/sqrt(-c*log(f) - 3*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + (3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f))/sqrt(-c*log(f) + 3*I*f)) + ((-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f))/sqrt(-c*log(f) - 3*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + ((3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^4 + 10*c^2*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + 9*f^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))","B",0
100,1,1007,0,0.389740," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left(-i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + (f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + (-I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))","B",0
101,1,1487,0,0.416342," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(i \, f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} + f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right) - 2 i \, e\right)} \sqrt{-c \log\left(f\right) + 2 i \, f}}{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)}}\right) + {\left(-i \, f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} + f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-c \log\left(f\right) - 2 i \, f}}{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} - i \, f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right) - 2 i \, e\right)} \sqrt{-c \log\left(f\right) + 2 i \, f}}{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)}}\right) + {\left(f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} + i \, f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-c \log\left(f\right) - 2 i \, f}}{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} + 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)}\right)} \operatorname{erf}\left(-\frac{1}{2} \, b \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}} \log\left(f\right) + x \overline{\sqrt{-c \log\left(f\right)}}\right) - {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)}\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)\right)}}{16 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \log\left(f\right)^{2} + 4 \, f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((I*f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) + f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f) - 2*I*e)*sqrt(-c*log(f) + 2*I*f)/(c*log(f) - 2*I*f)) + (-I*f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) + f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f) + 2*I*e)*sqrt(-c*log(f) - 2*I*f)/(c*log(f) + 2*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) - I*f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f) - 2*I*e)*sqrt(-c*log(f) + 2*I*f)/(c*log(f) - 2*I*f)) + (f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) + I*f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f) + 2*I*e)*sqrt(-c*log(f) - 2*I*f)/(c*log(f) + 2*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) + 2*sqrt(pi)*((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2)))*erf(-1/2*b*conjugate(1/sqrt(-c*log(f)))*log(f) + x*conjugate(sqrt(-c*log(f)))) - (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*c*x*log(f) + b*log(f))/sqrt(-c*log(f)))))/((c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*log(f)^2 + 4*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c))*sqrt(-c*log(f)))","C",0
102,1,4348,0,0.492513," ","integrate(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right) - 3 i \, e\right)} \sqrt{-c \log\left(f\right) + 3 i \, f}}{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)}}\right) + {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-c \log\left(f\right) - 3 i \, f}}{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right) - 3 i \, e\right)} \sqrt{-c \log\left(f\right) + 3 i \, f}}{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)}}\right) + {\left({\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-c \log\left(f\right) - 3 i \, f}}{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left({\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{32 \, {\left(c^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"-1/32*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f) - 3*I*e)*sqrt(-c*log(f) + 3*I*f)/(c*log(f) - 3*I*f)) + ((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f) + 3*I*e)*sqrt(-c*log(f) - 3*I*f)/(c*log(f) + 3*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + (3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f) - 3*I*e)*sqrt(-c*log(f) + 3*I*f)/(c*log(f) - 3*I*f)) + ((-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f) + 3*I*e)*sqrt(-c*log(f) - 3*I*f)/(c*log(f) + 3*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + ((3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^4 + 10*c^2*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + 9*f^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))","B",0
103,1,1017,0,0.394546," ","integrate(f^(c*x^2+b*x+a)*sin(e*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, e^{2}} {\left({\left(f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) - i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, e\right)} x + b \log\left(f\right) - i \, b\right)} \sqrt{-c \log\left(f\right) + i \, e}}{2 \, {\left(c \log\left(f\right) - i \, e\right)}}\right) + {\left(f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) + i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, e\right)} x + b \log\left(f\right) + i \, b\right)} \sqrt{-c \log\left(f\right) - i \, e}}{2 \, {\left(c \log\left(f\right) + i \, e\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + e^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, e^{2}} {\left({\left(i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) + f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, e\right)} x + b \log\left(f\right) - i \, b\right)} \sqrt{-c \log\left(f\right) + i \, e}}{2 \, {\left(c \log\left(f\right) - i \, e\right)}}\right) + {\left(-i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) + f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, e\right)} x + b \log\left(f\right) + i \, b\right)} \sqrt{-c \log\left(f\right) - i \, e}}{2 \, {\left(c \log\left(f\right) + i \, e\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + e^{2}}}}{8 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}} + \frac{b^{2} e \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)} \log\left(f\right)^{2} + e^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}} + \frac{b^{2} e \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)}\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*e^2)*((f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) - I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) - I*e)*x + b*log(f) - I*b)*sqrt(-c*log(f) + I*e)/(c*log(f) - I*e)) + (f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) + I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) + I*e)*x + b*log(f) + I*b)*sqrt(-c*log(f) - I*e)/(c*log(f) + I*e)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + e^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*e^2)*((I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) + f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) - I*e)*x + b*log(f) - I*b)*sqrt(-c*log(f) + I*e)/(c*log(f) - I*e)) + (-I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) + f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) + I*e)*x + b*log(f) + I*b)*sqrt(-c*log(f) - I*e)/(c*log(f) + I*e)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + e^2)))/(c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + e^2) + 1/2*b^2*e*log(f)/(c^2*log(f)^2 + e^2))*log(f)^2 + e^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + e^2) + 1/2*b^2*e*log(f)/(c^2*log(f)^2 + e^2)))","B",0
104,1,25,0,0.314468," ","integrate(exp(x)*cos(b*x+a),x, algorithm=""maxima"")","\frac{{\left(b \sin\left(b x + a\right) + \cos\left(b x + a\right)\right)} e^{x}}{b^{2} + 1}"," ",0,"(b*sin(b*x + a) + cos(b*x + a))*e^x/(b^2 + 1)","A",0
105,1,100,0,0.340527," ","integrate(exp(x)*cos(c*x^2+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, \cos\left(\frac{4 \, a c + 1}{4 \, c}\right) + \left(i + 1\right) \, \sin\left(\frac{4 \, a c + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x - 1}{2 \, \sqrt{i \, c}}\right) + {\left(\left(i + 1\right) \, \cos\left(\frac{4 \, a c + 1}{4 \, c}\right) + \left(i - 1\right) \, \sin\left(\frac{4 \, a c + 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 i \, c x + 1}{2 \, \sqrt{-i \, c}}\right)\right)}}{8 \, \sqrt{c}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I - 1)*cos(1/4*(4*a*c + 1)/c) + (I + 1)*sin(1/4*(4*a*c + 1)/c))*erf(1/2*(2*I*c*x - 1)/sqrt(I*c)) + ((I + 1)*cos(1/4*(4*a*c + 1)/c) + (I - 1)*sin(1/4*(4*a*c + 1)/c))*erf(1/2*(2*I*c*x + 1)/sqrt(-I*c)))/sqrt(c)","A",0
106,1,131,0,0.345878," ","integrate(exp(x)*cos(c*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(-\left(i - 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right) - \left(i + 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, c x + i \, b - 1\right)} \sqrt{i \, c}}{2 \, c}\right) + {\left(\left(i + 1\right) \, \cos\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right) + \left(i - 1\right) \, \sin\left(-\frac{b^{2} - 4 \, a c - 1}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, c x + i \, b + 1\right)} \sqrt{-i \, c}}{2 \, c}\right)\right)} e^{\left(-\frac{b}{2 \, c}\right)}}{8 \, \sqrt{c}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*((-(I - 1)*cos(-1/4*(b^2 - 4*a*c - 1)/c) - (I + 1)*sin(-1/4*(b^2 - 4*a*c - 1)/c))*erf(1/2*I*(2*I*c*x + I*b - 1)*sqrt(I*c)/c) + ((I + 1)*cos(-1/4*(b^2 - 4*a*c - 1)/c) + (I - 1)*sin(-1/4*(b^2 - 4*a*c - 1)/c))*erf(1/2*I*(2*I*c*x + I*b + 1)*sqrt(-I*c)/c))*e^(-1/2*b/c)/sqrt(c)","A",0
107,1,52,0,0.325855," ","integrate(exp(x^2)*cos(b*x+a),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{\pi} {\left({\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \operatorname{erf}\left(\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)} + {\left(i \, \cos\left(a\right) - \sin\left(a\right)\right)} \operatorname{erf}\left(-\frac{1}{2} \, b + i \, x\right) e^{\left(\frac{1}{4} \, b^{2}\right)}\right)}"," ",0,"-1/4*sqrt(pi)*((I*cos(a) + sin(a))*erf(1/2*b + I*x)*e^(1/4*b^2) + (I*cos(a) - sin(a))*erf(-1/2*b + I*x)*e^(1/4*b^2))","A",0
108,1,133,0,0.324962," ","integrate(exp(x^2)*cos(c*x^2+a),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(i \, \cos\left(a\right) + \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, c - 1} x\right) + {\left(-i \, \cos\left(a\right) + \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, c - 1} x\right)\right)} \sqrt{\sqrt{c^{2} + 1} + 1} - \sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(\cos\left(a\right) - i \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{i \, c - 1} x\right) + {\left(\cos\left(a\right) + i \, \sin\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-i \, c - 1} x\right)\right)} \sqrt{\sqrt{c^{2} + 1} - 1}}{8 \, {\left(c^{2} + 1\right)}}"," ",0,"-1/8*(sqrt(pi)*sqrt(2*c^2 + 2)*((I*cos(a) + sin(a))*erf(sqrt(I*c - 1)*x) + (-I*cos(a) + sin(a))*erf(sqrt(-I*c - 1)*x))*sqrt(sqrt(c^2 + 1) + 1) - sqrt(pi)*sqrt(2*c^2 + 2)*((cos(a) - I*sin(a))*erf(sqrt(I*c - 1)*x) + (cos(a) + I*sin(a))*erf(sqrt(-I*c - 1)*x))*sqrt(sqrt(c^2 + 1) - 1))/(c^2 + 1)","B",0
109,1,474,0,0.339124," ","integrate(exp(x^2)*cos(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(-i \, \cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} - e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c + 1\right)} x - i \, b}{2 \, \sqrt{i \, c - 1}}\right) + {\left(-i \, \cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} + e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c - 1\right)} x - i \, b}{2 \, \sqrt{-i \, c - 1}}\right)\right)} \sqrt{\sqrt{c^{2} + 1} + 1} + \sqrt{\pi} \sqrt{2 \, c^{2} + 2} {\left({\left(\cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} - i \, e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c + 1\right)} x - i \, b}{2 \, \sqrt{i \, c - 1}}\right) - {\left(\cos\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right) e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} + i \, e^{\left(\frac{b^{2}}{4 \, {\left(c^{2} + 1\right)}}\right)} \sin\left(-\frac{b^{2} c - 4 \, a c^{2} - 4 \, a}{4 \, {\left(c^{2} + 1\right)}}\right)\right)} \operatorname{erf}\left(-\frac{2 \, {\left(-i \, c - 1\right)} x - i \, b}{2 \, \sqrt{-i \, c - 1}}\right)\right)} \sqrt{\sqrt{c^{2} + 1} - 1}}{8 \, {\left(c^{2} + 1\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2 + 2)*((-I*cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) - e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c + 1)*x - I*b)/sqrt(I*c - 1)) + (-I*cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) + e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c - 1)*x - I*b)/sqrt(-I*c - 1)))*sqrt(sqrt(c^2 + 1) + 1) + sqrt(pi)*sqrt(2*c^2 + 2)*((cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) - I*e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c + 1)*x - I*b)/sqrt(I*c - 1)) - (cos(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1))*e^(1/4*b^2/(c^2 + 1)) + I*e^(1/4*b^2/(c^2 + 1))*sin(-1/4*(b^2*c - 4*a*c^2 - 4*a)/(c^2 + 1)))*erf(-1/2*(2*(-I*c - 1)*x - I*b)/sqrt(-I*c - 1)))*sqrt(sqrt(c^2 + 1) - 1))/(c^2 + 1)","B",0
110,1,147,0,0.342369," ","integrate(f^(b*x+a)*cos(f*x^2+d),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) + \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x - b \log\left(f\right)}{2 \, \sqrt{i \, f}}\right) + {\left(\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) + \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-i \, f}}\right)\right)}}{8 \, \sqrt{f}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*(((I - 1)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) + (I + 1)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x - b*log(f))/sqrt(I*f)) + ((I + 1)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) + (I - 1)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x + b*log(f))/sqrt(-I*f)))/sqrt(f)","A",0
111,1,186,0,0.436531," ","integrate(f^(b*x+a)*cos(f*x^2+d)^2,x, algorithm=""maxima"")","-\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) + \left(i + 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{4 i \, f x - b \log\left(f\right)}{2 \, \sqrt{2 i \, f}}\right) + {\left(\left(i + 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) + \left(i - 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{4 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-2 i \, f}}\right)\right)} f^{\frac{3}{2}} - 16 \, f^{b x} f^{a + 2}}{32 \, b f^{2} \log\left(f\right)}"," ",0,"-1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*b*f^a*cos(1/8*(b^2*log(f)^2 + 16*d*f)/f)*log(f) + (I + 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 + 16*d*f)/f))*erf(1/2*(4*I*f*x - b*log(f))/sqrt(2*I*f)) + ((I + 1)*b*f^a*cos(1/8*(b^2*log(f)^2 + 16*d*f)/f)*log(f) + (I - 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 + 16*d*f)/f))*erf(1/2*(4*I*f*x + b*log(f))/sqrt(-2*I*f)))*f^(3/2) - 16*f^(b*x)*f^(a + 2))/(b*f^2*log(f))","A",0
112,1,302,0,0.447472," ","integrate(f^(b*x+a)*cos(f*x^2+d)^3,x, algorithm=""maxima"")","-\frac{3 \cdot 9^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right) + \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{6 i \, f x - b \log\left(f\right)}{2 \, \sqrt{3 i \, f}}\right) + {\left(\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right) + \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{6 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-3 i \, f}}\right)\right)} f^{\frac{3}{2}} + \sqrt{2} \sqrt{\pi} {\left({\left(\left(27 i - 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) + \left(27 i + 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x - b \log\left(f\right)}{2 \, \sqrt{i \, f}}\right) + {\left(\left(27 i + 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right) + \left(27 i - 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{2 i \, f x + b \log\left(f\right)}{2 \, \sqrt{-i \, f}}\right)\right)} f^{\frac{3}{2}}}{288 \, f^{2}}"," ",0,"-1/288*(3*9^(1/4)*sqrt(2)*sqrt(pi)*(((I - 1)*f^a*cos(1/12*(b^2*log(f)^2 + 36*d*f)/f) + (I + 1)*f^a*sin(1/12*(b^2*log(f)^2 + 36*d*f)/f))*erf(1/2*(6*I*f*x - b*log(f))/sqrt(3*I*f)) + ((I + 1)*f^a*cos(1/12*(b^2*log(f)^2 + 36*d*f)/f) + (I - 1)*f^a*sin(1/12*(b^2*log(f)^2 + 36*d*f)/f))*erf(1/2*(6*I*f*x + b*log(f))/sqrt(-3*I*f)))*f^(3/2) + sqrt(2)*sqrt(pi)*(((27*I - 27)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) + (27*I + 27)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x - b*log(f))/sqrt(I*f)) + ((27*I + 27)*f^a*cos(1/4*(b^2*log(f)^2 + 4*d*f)/f) + (27*I - 27)*f^a*sin(1/4*(b^2*log(f)^2 + 4*d*f)/f))*erf(1/2*(2*I*f*x + b*log(f))/sqrt(-I*f)))*f^(3/2))/f^2","A",0
113,1,190,0,0.360513," ","integrate(f^(b*x+a)*cos(f*x^2+e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{\pi} {\left({\left(-\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) - \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x - b \log\left(f\right) + i \, e\right)} \sqrt{i \, f}}{2 \, f}\right) + {\left(\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) + \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x + b \log\left(f\right) + i \, e\right)} \sqrt{-i \, f}}{2 \, f}\right)\right)}}{8 \, \sqrt{f} f^{\frac{b e}{2 \, f}}}"," ",0,"-1/8*sqrt(2)*sqrt(pi)*((-(I - 1)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) - (I + 1)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x - b*log(f) + I*e)*sqrt(I*f)/f) + ((I + 1)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) + (I - 1)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x + b*log(f) + I*e)*sqrt(-I*f)/f))/(sqrt(f)*f^(1/2*b*e/f))","A",0
114,1,240,0,0.453767," ","integrate(f^(b*x+a)*cos(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","-\frac{4^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(i - 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) - \left(i + 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(4 i \, f x - b \log\left(f\right) + 2 i \, e\right)} \sqrt{2 i \, f}}{4 \, f}\right) + {\left(\left(i + 1\right) \, b f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right) \log\left(f\right) + \left(i - 1\right) \, b f^{a} \log\left(f\right) \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 4 \, e^{2} + 16 \, d f}{8 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(4 i \, f x + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-2 i \, f}}{4 \, f}\right)\right)} f^{\frac{3}{2}} - 16 \, f^{a + 2} e^{\left(b x \log\left(f\right) + \frac{b e \log\left(f\right)}{2 \, f}\right)}}{32 \, b f^{2} f^{\frac{b e}{2 \, f}} \log\left(f\right)}"," ",0,"-1/32*(4^(1/4)*sqrt(2)*sqrt(pi)*((-(I - 1)*b*f^a*cos(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f)*log(f) - (I + 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f))*erf(1/4*I*(4*I*f*x - b*log(f) + 2*I*e)*sqrt(2*I*f)/f) + ((I + 1)*b*f^a*cos(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f)*log(f) + (I - 1)*b*f^a*log(f)*sin(1/8*(b^2*log(f)^2 - 4*e^2 + 16*d*f)/f))*erf(1/4*I*(4*I*f*x + b*log(f) + 2*I*e)*sqrt(-2*I*f)/f))*f^(3/2) - 16*f^(a + 2)*e^(b*x*log(f) + 1/2*b*e*log(f)/f))/(b*f^2*f^(1/2*b*e/f)*log(f))","B",0
115,1,377,0,0.468857," ","integrate(f^(b*x+a)*cos(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","-\frac{3 \cdot 9^{\frac{1}{4}} \sqrt{2} \sqrt{\pi} {\left({\left(-\left(i - 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right) - \left(i + 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(6 i \, f x - b \log\left(f\right) + 3 i \, e\right)} \sqrt{3 i \, f}}{6 \, f}\right) + {\left(\left(i + 1\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right) + \left(i - 1\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - 9 \, e^{2} + 36 \, d f}{12 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(6 i \, f x + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-3 i \, f}}{6 \, f}\right)\right)} f^{\frac{3}{2}} + \sqrt{2} \sqrt{\pi} {\left({\left(-\left(27 i - 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) - \left(27 i + 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x - b \log\left(f\right) + i \, e\right)} \sqrt{i \, f}}{2 \, f}\right) + {\left(\left(27 i + 27\right) \, f^{a} \cos\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right) + \left(27 i - 27\right) \, f^{a} \sin\left(\frac{b^{2} \log\left(f\right)^{2} - e^{2} + 4 \, d f}{4 \, f}\right)\right)} \operatorname{erf}\left(\frac{i \, {\left(2 i \, f x + b \log\left(f\right) + i \, e\right)} \sqrt{-i \, f}}{2 \, f}\right)\right)} f^{\frac{3}{2}}}{288 \, f^{2} f^{\frac{b e}{2 \, f}}}"," ",0,"-1/288*(3*9^(1/4)*sqrt(2)*sqrt(pi)*((-(I - 1)*f^a*cos(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f) - (I + 1)*f^a*sin(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f))*erf(1/6*I*(6*I*f*x - b*log(f) + 3*I*e)*sqrt(3*I*f)/f) + ((I + 1)*f^a*cos(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f) + (I - 1)*f^a*sin(1/12*(b^2*log(f)^2 - 9*e^2 + 36*d*f)/f))*erf(1/6*I*(6*I*f*x + b*log(f) + 3*I*e)*sqrt(-3*I*f)/f))*f^(3/2) + sqrt(2)*sqrt(pi)*((-(27*I - 27)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) - (27*I + 27)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x - b*log(f) + I*e)*sqrt(I*f)/f) + ((27*I + 27)*f^a*cos(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f) + (27*I - 27)*f^a*sin(1/4*(b^2*log(f)^2 - e^2 + 4*d*f)/f))*erf(1/2*I*(2*I*f*x + b*log(f) + I*e)*sqrt(-I*f)/f))*f^(3/2))/(f^2*f^(1/2*b*e/f))","A",0
116,1,204,0,0.348682," ","integrate(f^(c*x^2+a)*cos(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) - i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{8 \, c \log\left(f\right)}"," ",0,"-1/8*sqrt(pi)*(f^a*(cos(d) - I*sin(d))*erf(x*conjugate(sqrt(-c*log(f))) + 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(cos(d) + I*sin(d))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) - f^a*(cos(d) + I*sin(d))*erf(1/2*(2*c*x*log(f) + I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))) - f^a*(cos(d) - I*sin(d))*erf(1/2*(2*c*x*log(f) - I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*log(f))","C",0
117,1,236,0,0.356422," ","integrate(f^(c*x^2+a)*cos(e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(2 \, d\right) - i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(2 \, d\right) + i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(2 \, d\right) + i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\frac{c x \log\left(f\right) + i \, e}{\sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(2 \, d\right) - i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\frac{c x \log\left(f\right) - i \, e}{\sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + 2 \, f^{a} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}}\right) + 2 \, f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*sqrt(pi)*(f^a*(cos(2*d) - I*sin(2*d))*erf(x*conjugate(sqrt(-c*log(f))) + I*e*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) + f^a*(cos(2*d) + I*sin(2*d))*erf(x*conjugate(sqrt(-c*log(f))) - I*e*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) - f^a*(cos(2*d) + I*sin(2*d))*erf((c*x*log(f) + I*e)/sqrt(-c*log(f)))*e^(e^2/(c*log(f))) - f^a*(cos(2*d) - I*sin(2*d))*erf((c*x*log(f) - I*e)/sqrt(-c*log(f)))*e^(e^2/(c*log(f))) + 2*f^a*erf(x*conjugate(sqrt(-c*log(f)))) + 2*f^a*erf(sqrt(-c*log(f))*x))/sqrt(-c*log(f))","C",0
118,1,406,0,0.376597," ","integrate(f^(c*x^2+a)*cos(e*x+d)^3,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(3 \, d\right) - i \, \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + \frac{3}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(3 \, d\right) + i \, \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{3}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(3 \, d\right) + i \, \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + 3 i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} - f^{a} {\left(\cos\left(3 \, d\right) - i \, \sin\left(3 \, d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) - 3 i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + 3 \, f^{a} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} + \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + 3 \, f^{a} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} i \, e \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} - 3 \, f^{a} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} - 3 \, f^{a} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) - i \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{32 \, c \log\left(f\right)}"," ",0,"-1/32*sqrt(pi)*(f^a*(cos(3*d) - I*sin(3*d))*erf(x*conjugate(sqrt(-c*log(f))) + 3/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) + f^a*(cos(3*d) + I*sin(3*d))*erf(x*conjugate(sqrt(-c*log(f))) - 3/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) - f^a*(cos(3*d) + I*sin(3*d))*erf(1/2*(2*c*x*log(f) + 3*I*e)/sqrt(-c*log(f)))*e^(9/4*e^2/(c*log(f))) - f^a*(cos(3*d) - I*sin(3*d))*erf(1/2*(2*c*x*log(f) - 3*I*e)/sqrt(-c*log(f)))*e^(9/4*e^2/(c*log(f))) + 3*f^a*(cos(d) - I*sin(d))*erf(x*conjugate(sqrt(-c*log(f))) + 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + 3*f^a*(cos(d) + I*sin(d))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*I*e*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) - 3*f^a*(cos(d) + I*sin(d))*erf(1/2*(2*c*x*log(f) + I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))) - 3*f^a*(cos(d) - I*sin(d))*erf(1/2*(2*c*x*log(f) - I*e)/sqrt(-c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*log(f))","C",0
119,1,205,0,0.346304," ","integrate(f^(c*x^2+a)*cos(f*x^2+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left(f^{a} {\left(i \, \cos\left(d\right) + \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + f^{a} {\left(-i \, \cos\left(d\right) + \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left(f^{a} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + f^{a} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}"," ",0,"-1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(f^a*(I*cos(d) + sin(d))*erf(sqrt(-c*log(f) + I*f)*x) + f^a*(-I*cos(d) + sin(d))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(f^a*(cos(d) - I*sin(d))*erf(sqrt(-c*log(f) + I*f)*x) + f^a*(cos(d) + I*sin(d))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*log(f)^2 + f^2)","B",0
120,1,315,0,0.345925," ","integrate(f^(c*x^2+a)*cos(f*x^2+d)^2,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left(f^{a} {\left(i \, \cos\left(2 \, d\right) + \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 i \, f} x\right) + f^{a} {\left(-i \, \cos\left(2 \, d\right) + \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left(f^{a} {\left(\cos\left(2 \, d\right) - i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 i \, f} x\right) + f^{a} {\left(\cos\left(2 \, d\right) + i \, \sin\left(2 \, d\right)\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}}\right) + {\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)\right)}}{16 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*(f^a*(I*cos(2*d) + sin(2*d))*erf(sqrt(-c*log(f) + 2*I*f)*x) + f^a*(-I*cos(2*d) + sin(2*d))*erf(sqrt(-c*log(f) - 2*I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*(f^a*(cos(2*d) - I*sin(2*d))*erf(sqrt(-c*log(f) + 2*I*f)*x) + f^a*(cos(2*d) + I*sin(2*d))*erf(sqrt(-c*log(f) - 2*I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - 2*sqrt(pi)*((c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(x*conjugate(sqrt(-c*log(f)))) + (c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(sqrt(-c*log(f))*x)))/((c^2*log(f)^2 + 4*f^2)*sqrt(-c*log(f)))","C",0
121,1,673,0,0.351359," ","integrate(f^(c*x^2+a)*cos(f*x^2+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left(128 \, {\left(-i \, c^{2} \cos\left(3 \, d\right) - c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} - f^{a + 2} {\left(128 i \, \cos\left(3 \, d\right) + 128 \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 i \, f} x\right) + {\left(128 \, {\left(i \, c^{2} \cos\left(3 \, d\right) - c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} - f^{a + 2} {\left(-128 i \, \cos\left(3 \, d\right) + 128 \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(384 i \, c^{2} \cos\left(d\right) + 384 \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + f^{a + 2} {\left(3456 i \, \cos\left(d\right) + 3456 \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + {\left({\left(-384 i \, c^{2} \cos\left(d\right) + 384 \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + f^{a + 2} {\left(-3456 i \, \cos\left(d\right) + 3456 \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(128 \, c^{2} \cos\left(3 \, d\right) - 128 i \, c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} + 128 \, f^{a + 2} {\left(\cos\left(3 \, d\right) - i \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 i \, f} x\right) + {\left({\left(128 \, c^{2} \cos\left(3 \, d\right) + 128 i \, c^{2} \sin\left(3 \, d\right)\right)} f^{a} \log\left(f\right)^{2} + 128 \, f^{a + 2} {\left(\cos\left(3 \, d\right) + i \, \sin\left(3 \, d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} + 384 \, \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(c^{2} \cos\left(d\right) - i \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + 9 \, f^{a + 2} {\left(\cos\left(d\right) - i \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + i \, f} x\right) + {\left({\left(c^{2} \cos\left(d\right) + i \, c^{2} \sin\left(d\right)\right)} f^{a} \log\left(f\right)^{2} + 9 \, f^{a + 2} {\left(\cos\left(d\right) + i \, \sin\left(d\right)\right)}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - i \, f} x\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{4096 \, {\left(c^{4} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"1/4096*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*((128*(-I*c^2*cos(3*d) - c^2*sin(3*d))*f^a*log(f)^2 - f^(a + 2)*(128*I*cos(3*d) + 128*sin(3*d)))*erf(sqrt(-c*log(f) + 3*I*f)*x) + (128*(I*c^2*cos(3*d) - c^2*sin(3*d))*f^a*log(f)^2 - f^(a + 2)*(-128*I*cos(3*d) + 128*sin(3*d)))*erf(sqrt(-c*log(f) - 3*I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((384*I*c^2*cos(d) + 384*c^2*sin(d))*f^a*log(f)^2 + f^(a + 2)*(3456*I*cos(d) + 3456*sin(d)))*erf(sqrt(-c*log(f) + I*f)*x) + ((-384*I*c^2*cos(d) + 384*c^2*sin(d))*f^a*log(f)^2 + f^(a + 2)*(-3456*I*cos(d) + 3456*sin(d)))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((128*c^2*cos(3*d) - 128*I*c^2*sin(3*d))*f^a*log(f)^2 + 128*f^(a + 2)*(cos(3*d) - I*sin(3*d)))*erf(sqrt(-c*log(f) + 3*I*f)*x) + ((128*c^2*cos(3*d) + 128*I*c^2*sin(3*d))*f^a*log(f)^2 + 128*f^(a + 2)*(cos(3*d) + I*sin(3*d)))*erf(sqrt(-c*log(f) - 3*I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) + 384*sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((c^2*cos(d) - I*c^2*sin(d))*f^a*log(f)^2 + 9*f^(a + 2)*(cos(d) - I*sin(d)))*erf(sqrt(-c*log(f) + I*f)*x) + ((c^2*cos(d) + I*c^2*sin(d))*f^a*log(f)^2 + 9*f^(a + 2)*(cos(d) + I*sin(d)))*erf(sqrt(-c*log(f) - I*f)*x))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*log(f)^4 + 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
122,1,761,0,0.371373," ","integrate(f^(c*x^2+a)*cos(f*x^2+e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(-i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + (-I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + (f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*log(f)^2 + f^2)","B",0
123,1,863,0,0.358851," ","integrate(f^(c*x^2+a)*cos(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) + f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) - 2 i \, f\right)} x - i \, e}{\sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(-i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) + f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) + 2 i \, f\right)} x + i \, e}{\sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) - i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) - 2 i \, f\right)} x - i \, e}{\sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \cos\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right) + i \, f^{\frac{c e^{2}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} f^{a} \sin\left(\frac{2 \, {\left(c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}\right)}}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)\right)} \operatorname{erf}\left(\frac{{\left(c \log\left(f\right) + 2 i \, f\right)} x + i \, e}{\sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} + 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}}\right) + {\left(c^{2} f^{a} \log\left(f\right)^{2} + 4 \, f^{a + 2}\right)} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)\right)}}{16 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) + f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) - 2*I*f)*x - I*e)/sqrt(-c*log(f) + 2*I*f)) + (-I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) + f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) + 2*I*f)*x + I*e)/sqrt(-c*log(f) - 2*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) - I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) - 2*I*f)*x - I*e)/sqrt(-c*log(f) + 2*I*f)) + (f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*cos(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)) + I*f^(c*e^2/(c^2*log(f)^2 + 4*f^2))*f^a*sin(2*(c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + 4*f^2)))*erf(((c*log(f) + 2*I*f)*x + I*e)/sqrt(-c*log(f) - 2*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) + 2*sqrt(pi)*((c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(x*conjugate(sqrt(-c*log(f)))) + (c^2*f^a*log(f)^2 + 4*f^(a + 2))*erf(sqrt(-c*log(f))*x)))/((c^2*log(f)^2 + 4*f^2)*sqrt(-c*log(f)))","C",0
124,1,2183,0,0.407455," ","integrate(f^(c*x^2+a)*cos(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x - 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(-i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + 3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left({\left(-3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + 3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) - {\left(i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x - 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) - {\left(-i \, c^{2} f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - i \, f^{\frac{9 \, c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{3 \, {\left(4 \, c^{2} d \log\left(f\right)^{2} - 9 \, e^{2} f + 36 \, d f^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + 3 i \, e}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x - i \, e}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(3 \, {\left(c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} + 9 \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \cos\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(-3 i \, c^{2} f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \log\left(f\right)^{2} - 27 i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a + 2}\right)} \sin\left(\frac{4 \, c^{2} d \log\left(f\right)^{2} - e^{2} f + 4 \, d f^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + i \, e}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{32 \, {\left(c^{4} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} \log\left(f\right)^{2} + 9 \, f^{4}\right)}}"," ",0,"1/32*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x - 3*I*e)/sqrt(-c*log(f) + 3*I*f)) + ((-I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 - I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + 3*I*e)/sqrt(-c*log(f) - 3*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + 3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + ((-3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 - 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) + 3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) - (I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x - 3*I*e)/sqrt(-c*log(f) + 3*I*f)) + ((c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 + f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*cos(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)) - (-I*c^2*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^a*log(f)^2 - I*f^(9/4*c*e^2/(c^2*log(f)^2 + 9*f^2))*f^(a + 2))*sin(3/4*(4*c^2*d*log(f)^2 - 9*e^2*f + 36*d*f^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + 3*I*e)/sqrt(-c*log(f) - 3*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - (3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x - I*e)/sqrt(-c*log(f) + I*f)) + (3*(c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 + 9*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*cos(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)) - (-3*I*c^2*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*log(f)^2 - 27*I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^(a + 2))*sin(1/4*(4*c^2*d*log(f)^2 - e^2*f + 4*d*f^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + I*e)/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*log(f)^4 + 10*c^2*f^2*log(f)^2 + 9*f^4)","B",0
125,1,354,0,0.377605," ","integrate(f^(c*x^2+b*x+a)*cos(e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{8 \, c f^{\frac{b^{2}}{4 \, c}} \log\left(f\right)}"," ",0,"-1/8*sqrt(pi)*(f^a*(cos(-1/2*(2*c*d - b*e)/c) - I*sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(cos(-1/2*(2*c*d - b*e)/c) + I*sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + f^a*(cos(-1/2*(2*c*d - b*e)/c) - I*sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))) + f^a*(cos(-1/2*(2*c*d - b*e)/c) + I*sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*f^(1/4*b^2/c)*log(f))","C",0
126,1,399,0,0.380558," ","integrate(f^(c*x^2+b*x+a)*cos(e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + 2 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - 2 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - 2 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{c \log\left(f\right)}\right)} + 2 \, f^{a} \operatorname{erf}\left(-\frac{1}{2} \, b \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}} \log\left(f\right) + x \overline{\sqrt{-c \log\left(f\right)}}\right) - 2 \, f^{a} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)\right)}}{16 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/16*sqrt(pi)*(f^a*(cos(-(2*c*d - b*e)/c) - I*sin(-(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + 2*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) + f^a*(cos(-(2*c*d - b*e)/c) + I*sin(-(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - 2*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(e^2/(c*log(f))) + f^a*(cos(-(2*c*d - b*e)/c) - I*sin(-(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + 2*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(e^2/(c*log(f))) + f^a*(cos(-(2*c*d - b*e)/c) + I*sin(-(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - 2*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(e^2/(c*log(f))) + 2*f^a*erf(-1/2*b*conjugate(1/sqrt(-c*log(f)))*log(f) + x*conjugate(sqrt(-c*log(f)))) - 2*f^a*erf(1/2*(2*c*x*log(f) + b*log(f))/sqrt(-c*log(f))))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","C",0
127,1,680,0,0.410898," ","integrate(f^(c*x^2+b*x+a)*cos(e*x+d)^3,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} {\left(f^{a} {\left(\cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) - i \, \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + 3 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) + i \, \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - 3 i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) - i \, \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + f^{a} {\left(\cos\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right) + i \, \sin\left(-\frac{3 \, {\left(2 \, c d - b e\right)}}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - 3 i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)} + 3 \, f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) + i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + 3 \, f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(x \overline{\sqrt{-c \log\left(f\right)}} - \frac{1}{2} \, {\left(b \log\left(f\right) - i \, e\right)} \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + 3 \, f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) - i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)} + 3 \, f^{a} {\left(\cos\left(-\frac{2 \, c d - b e}{2 \, c}\right) + i \, \sin\left(-\frac{2 \, c d - b e}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x \log\left(f\right) + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right)}}{2 \, c \log\left(f\right)}\right) e^{\left(\frac{e^{2}}{4 \, c \log\left(f\right)}\right)}\right)} \sqrt{-c \log\left(f\right)}}{32 \, c f^{\frac{b^{2}}{4 \, c}} \log\left(f\right)}"," ",0,"-1/32*sqrt(pi)*(f^a*(cos(-3/2*(2*c*d - b*e)/c) - I*sin(-3/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + 3*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) + f^a*(cos(-3/2*(2*c*d - b*e)/c) + I*sin(-3/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - 3*I*e)*conjugate(1/sqrt(-c*log(f))))*e^(9/4*e^2/(c*log(f))) + f^a*(cos(-3/2*(2*c*d - b*e)/c) - I*sin(-3/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + 3*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(9/4*e^2/(c*log(f))) + f^a*(cos(-3/2*(2*c*d - b*e)/c) + I*sin(-3/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - 3*I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(9/4*e^2/(c*log(f))) + 3*f^a*(cos(-1/2*(2*c*d - b*e)/c) - I*sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) + I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + 3*f^a*(cos(-1/2*(2*c*d - b*e)/c) + I*sin(-1/2*(2*c*d - b*e)/c))*erf(x*conjugate(sqrt(-c*log(f))) - 1/2*(b*log(f) - I*e)*conjugate(1/sqrt(-c*log(f))))*e^(1/4*e^2/(c*log(f))) + 3*f^a*(cos(-1/2*(2*c*d - b*e)/c) - I*sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) + I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))) + 3*f^a*(cos(-1/2*(2*c*d - b*e)/c) + I*sin(-1/2*(2*c*d - b*e)/c))*erf(1/2*(2*c*x*log(f) + b*log(f) - I*e)*sqrt(-c*log(f))/(c*log(f)))*e^(1/4*e^2/(c*log(f))))*sqrt(-c*log(f))/(c*f^(1/4*b^2/c)*log(f))","C",0
128,1,648,0,0.361347," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(i \, f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(-i \, f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - i \, f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(f^{a} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + i \, f^{a} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((I*f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + (-I*f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - I*f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + (f^a*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + I*f^a*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))","B",0
129,1,997,0,0.378524," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) + f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(-i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) + f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) - i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 2 i \, f}}\right) + {\left(f^{a} f^{\frac{b^{2}}{4 \, c}} \cos\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) + i \, f^{a} f^{\frac{b^{2}}{4 \, c}} \sin\left(\frac{16 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 2 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} + 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)}\right)} \operatorname{erf}\left(-\frac{1}{2} \, b \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}} \log\left(f\right) + x \overline{\sqrt{-c \log\left(f\right)}}\right) - {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)}\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)\right)}}{16 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \log\left(f\right)^{2} + 4 \, f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((I*f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) + f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f))/sqrt(-c*log(f) + 2*I*f)) + (-I*f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) + f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f))/sqrt(-c*log(f) - 2*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) - I*f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f))/sqrt(-c*log(f) + 2*I*f)) + (f^a*f^(1/4*b^2/c)*cos(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)) + I*f^a*f^(1/4*b^2/c)*sin(1/2*(16*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f))/sqrt(-c*log(f) - 2*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) + 2*sqrt(pi)*((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2)))*erf(-1/2*b*conjugate(1/sqrt(-c*log(f)))*log(f) + x*conjugate(sqrt(-c*log(f)))) - (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*c*x*log(f) + b*log(f))/sqrt(-c*log(f)))))/((c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*log(f)^2 + 4*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c))*sqrt(-c*log(f)))","C",0
130,1,2459,0,0.423155," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left({\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) - {\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 3 i \, f}}\right) + {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) - {\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(\frac{3 \, {\left(36 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 3 i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + i \, f}}\right) + {\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(\frac{4 \, d f^{2} + {\left(4 \, c^{2} d + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - i \, f}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{32 \, {\left(c^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"1/32*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f))/sqrt(-c*log(f) + 3*I*f)) + ((-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f))/sqrt(-c*log(f) - 3*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + ((-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) - (I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f))/sqrt(-c*log(f) + 3*I*f)) + ((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*cos(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) - (-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))*sin(3/4*(36*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f))/sqrt(-c*log(f) - 3*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f))/sqrt(-c*log(f) + I*f)) + (3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*cos(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2)))*sin(1/4*(4*d*f^2 + (4*c^2*d + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f))/sqrt(-c*log(f) - I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^4 + 10*c^2*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2))*log(f)^2 + 9*f^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2)))","B",0
131,1,1008,0,0.388487," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left(-i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left(f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + i \, f^{\frac{c e^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}} f^{a} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{8 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"-1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + (-I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + (f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + I*f^(1/4*c*e^2/(c^2*log(f)^2 + f^2))*f^a*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))","B",0
132,1,1487,0,0.415350," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(i \, f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} + f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right) - 2 i \, e\right)} \sqrt{-c \log\left(f\right) + 2 i \, f}}{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)}}\right) + {\left(-i \, f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} + f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-c \log\left(f\right) - 2 i \, f}}{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 8 \, f^{2}} {\left({\left(f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} - i \, f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 2 i \, f\right)} x + b \log\left(f\right) - 2 i \, e\right)} \sqrt{-c \log\left(f\right) + 2 i \, f}}{2 \, {\left(c \log\left(f\right) - 2 i \, f\right)}}\right) + {\left(f^{a} \cos\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right) e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} + i \, f^{a} e^{\left(\frac{c e^{2} \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \sin\left(-\frac{4 \, e^{2} f - 16 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 2 i \, f\right)} x + b \log\left(f\right) + 2 i \, e\right)} \sqrt{-c \log\left(f\right) - 2 i \, f}}{2 \, {\left(c \log\left(f\right) + 2 i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}} \sqrt{-c \log\left(f\right)} - 2 \, \sqrt{\pi} {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)}\right)} \operatorname{erf}\left(-\frac{1}{2} \, b \overline{\frac{1}{\sqrt{-c \log\left(f\right)}}} \log\left(f\right) + x \overline{\sqrt{-c \log\left(f\right)}}\right) - {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)} \log\left(f\right)^{2} + 4 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}}\right)}\right)} \operatorname{erf}\left(\frac{2 \, c x \log\left(f\right) + b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)\right)}}{16 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)} \log\left(f\right)^{2} + 4 \, f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 4 \, f^{2}\right)}} + \frac{2 \, b e f \log\left(f\right)}{c^{2} \log\left(f\right)^{2} + 4 \, f^{2}} + \frac{b^{2} \log\left(f\right)}{4 \, c}\right)}\right)} \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((I*f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) + f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f) - 2*I*e)*sqrt(-c*log(f) + 2*I*f)/(c*log(f) - 2*I*f)) + (-I*f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) + f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f) + 2*I*e)*sqrt(-c*log(f) - 2*I*f)/(c*log(f) + 2*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 8*f^2)*((f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) - I*f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) - 2*I*f)*x + b*log(f) - 2*I*e)*sqrt(-c*log(f) + 2*I*f)/(c*log(f) - 2*I*f)) + (f^a*cos(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2))*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c) + I*f^a*e^(c*e^2*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*sin(-1/2*(4*e^2*f - 16*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*(c*log(f) + 2*I*f)*x + b*log(f) + 2*I*e)*sqrt(-c*log(f) - 2*I*f)/(c*log(f) + 2*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 4*f^2))*sqrt(-c*log(f)) - 2*sqrt(pi)*((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2)))*erf(-1/2*b*conjugate(1/sqrt(-c*log(f)))*log(f) + x*conjugate(sqrt(-c*log(f)))) - (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2))*log(f)^2 + 4*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2)))*erf(1/2*(2*c*x*log(f) + b*log(f))/sqrt(-c*log(f)))))/((c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c)*log(f)^2 + 4*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 4*f^2) + 2*b*e*f*log(f)/(c^2*log(f)^2 + 4*f^2) + 1/4*b^2*log(f)/c))*sqrt(-c*log(f)))","C",0
133,1,4351,0,0.496400," ","integrate(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right) - 3 i \, e\right)} \sqrt{-c \log\left(f\right) + 3 i \, f}}{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)}}\right) + {\left({\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) + {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-c \log\left(f\right) - 3 i \, f}}{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} + \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left({\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left({\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) + 3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 18 \, f^{2}} {\left({\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) - {\left(i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - 3 i \, f\right)} x + b \log\left(f\right) - 3 i \, e\right)} \sqrt{-c \log\left(f\right) + 3 i \, f}}{2 \, {\left(c \log\left(f\right) - 3 i \, f\right)}}\right) + {\left({\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \cos\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right) - {\left(-i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} - i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)} \sin\left(-\frac{3 \, {\left(9 \, e^{2} f - 36 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}\right)}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + 3 i \, f\right)} x + b \log\left(f\right) + 3 i \, e\right)} \sqrt{-c \log\left(f\right) - 3 i \, f}}{2 \, {\left(c \log\left(f\right) + 3 i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + 9 \, f^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, f^{2}} {\left({\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, f\right)} x + b \log\left(f\right) - i \, e\right)} \sqrt{-c \log\left(f\right) + i \, f}}{2 \, {\left(c \log\left(f\right) - i \, f\right)}}\right) + {\left(3 \, {\left(c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \cos\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right) - {\left(-3 i \, c^{2} f^{a} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)} \log\left(f\right)^{2} - 27 i \, f^{a + 2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{c e^{2} \log\left(f\right)}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}}\right)}\right)} \sin\left(-\frac{e^{2} f - 4 \, d f^{2} - {\left(4 \, c^{2} d - 2 \, b c e + b^{2} f\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, f\right)} x + b \log\left(f\right) + i \, e\right)} \sqrt{-c \log\left(f\right) - i \, f}}{2 \, {\left(c \log\left(f\right) + i \, f\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + f^{2}}}}{32 \, {\left(c^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{4} + 10 \, c^{2} f^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)} \log\left(f\right)^{2} + 9 \, f^{4} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}} + \frac{9 \, b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + 9 \, f^{2}\right)}} + \frac{b e f \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + f^{2}\right)}}\right)}\right)}}"," ",0,"-1/32*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f) - 3*I*e)*sqrt(-c*log(f) + 3*I*f)/(c*log(f) - 3*I*f)) + ((-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) + (c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f) + 3*I*e)*sqrt(-c*log(f) - 3*I*f)/(c*log(f) + 3*I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) + sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*(((3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + ((-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) + 3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 18*f^2)*(((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) - (I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) - 3*I*f)*x + b*log(f) - 3*I*e)*sqrt(-c*log(f) + 3*I*f)/(c*log(f) - 3*I*f)) + ((c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*cos(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)) - (-I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 - I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/4*c*e^2*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))*sin(-3/4*(9*e^2*f - 36*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + 9*f^2)))*erf(1/2*(2*(c*log(f) + 3*I*f)*x + b*log(f) + 3*I*e)*sqrt(-c*log(f) - 3*I*f)/(c*log(f) + 3*I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + 9*f^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*f^2)*((3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) - I*f)*x + b*log(f) - I*e)*sqrt(-c*log(f) + I*f)/(c*log(f) - I*f)) + (3*(c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 + 9*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*cos(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)) - (-3*I*c^2*f^a*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2))*log(f)^2 - 27*I*f^(a + 2)*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*c*e^2*log(f)/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2)))*sin(-1/4*(e^2*f - 4*d*f^2 - (4*c^2*d - 2*b*c*e + b^2*f)*log(f)^2)/(c^2*log(f)^2 + f^2)))*erf(1/2*(2*(c*log(f) + I*f)*x + b*log(f) + I*e)*sqrt(-c*log(f) - I*f)/(c*log(f) + I*f)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + f^2)))/(c^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^4 + 10*c^2*f^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2))*log(f)^2 + 9*f^4*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + 9*f^2) + 1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + f^2) + 9/2*b*e*f*log(f)/(c^2*log(f)^2 + 9*f^2) + 1/2*b*e*f*log(f)/(c^2*log(f)^2 + f^2)))","B",0
134,1,1018,0,0.392858," ","integrate(f^(c*x^2+b*x+a)*cos(e*x^2+b*x+a),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, e^{2}} {\left({\left(i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) + f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, e\right)} x + b \log\left(f\right) - i \, b\right)} \sqrt{-c \log\left(f\right) + i \, e}}{2 \, {\left(c \log\left(f\right) - i \, e\right)}}\right) + {\left(-i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) + f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, e\right)} x + b \log\left(f\right) + i \, b\right)} \sqrt{-c \log\left(f\right) - i \, e}}{2 \, {\left(c \log\left(f\right) + i \, e\right)}}\right)\right)} \sqrt{c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + e^{2}}} - \sqrt{\pi} \sqrt{2 \, c^{2} \log\left(f\right)^{2} + 2 \, e^{2}} {\left({\left(f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) - i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) - i \, e\right)} x + b \log\left(f\right) - i \, b\right)} \sqrt{-c \log\left(f\right) + i \, e}}{2 \, {\left(c \log\left(f\right) - i \, e\right)}}\right) + {\left(f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \cos\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right) + i \, f^{\frac{b^{2} c}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}} f^{a} \sin\left(-\frac{b^{2} e - 4 \, a e^{2} + {\left(2 \, b^{2} c - 4 \, a c^{2} - b^{2} e\right)} \log\left(f\right)^{2}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, {\left(c \log\left(f\right) + i \, e\right)} x + b \log\left(f\right) + i \, b\right)} \sqrt{-c \log\left(f\right) - i \, e}}{2 \, {\left(c \log\left(f\right) + i \, e\right)}}\right)\right)} \sqrt{-c \log\left(f\right) + \sqrt{c^{2} \log\left(f\right)^{2} + e^{2}}}}{8 \, {\left(c^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}} + \frac{b^{2} e \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)} \log\left(f\right)^{2} + e^{2} e^{\left(\frac{b^{2} c \log\left(f\right)^{3}}{4 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}} + \frac{b^{2} e \log\left(f\right)}{2 \, {\left(c^{2} \log\left(f\right)^{2} + e^{2}\right)}}\right)}\right)}}"," ",0,"-1/8*(sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*e^2)*((I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) + f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) - I*e)*x + b*log(f) - I*b)*sqrt(-c*log(f) + I*e)/(c*log(f) - I*e)) + (-I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) + f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) + I*e)*x + b*log(f) + I*b)*sqrt(-c*log(f) - I*e)/(c*log(f) + I*e)))*sqrt(c*log(f) + sqrt(c^2*log(f)^2 + e^2)) - sqrt(pi)*sqrt(2*c^2*log(f)^2 + 2*e^2)*((f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) - I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) - I*e)*x + b*log(f) - I*b)*sqrt(-c*log(f) + I*e)/(c*log(f) - I*e)) + (f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*cos(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)) + I*f^(1/4*b^2*c/(c^2*log(f)^2 + e^2))*f^a*sin(-1/4*(b^2*e - 4*a*e^2 + (2*b^2*c - 4*a*c^2 - b^2*e)*log(f)^2)/(c^2*log(f)^2 + e^2)))*erf(1/2*(2*(c*log(f) + I*e)*x + b*log(f) + I*b)*sqrt(-c*log(f) - I*e)/(c*log(f) + I*e)))*sqrt(-c*log(f) + sqrt(c^2*log(f)^2 + e^2)))/(c^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + e^2) + 1/2*b^2*e*log(f)/(c^2*log(f)^2 + e^2))*log(f)^2 + e^2*e^(1/4*b^2*c*log(f)^3/(c^2*log(f)^2 + e^2) + 1/2*b^2*e*log(f)/(c^2*log(f)^2 + e^2)))","B",0
135,1,581,0,0.391102," ","integrate(F^(c*(b*x+a))*(f+f*sin(e*x+d))^2,x, algorithm=""maxima"")","-\frac{{\left({\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} + 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} - 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x + 4 \, d\right) - {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) - 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) + 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x + 4 \, d\right) - 2 \, {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{2} + F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right)^{2} + 4 \, {\left(F^{a c} \cos\left(2 \, d\right)^{2} + F^{a c} \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)} F^{b c x}\right)} f^{2}}{4 \, {\left(b^{3} c^{3} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{3} + b^{3} c^{3} \log\left(F\right)^{3} \sin\left(2 \, d\right)^{2} + 4 \, {\left(b c \cos\left(2 \, d\right)^{2} \log\left(F\right) + b c \log\left(F\right) \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)}} - \frac{{\left({\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x\right)\right)} f^{2}}{b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}} + \frac{F^{b c x + a c} f^{2}}{b c \log\left(F\right)}"," ",0,"-1/4*((F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 + 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x) + (F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 - 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x + 4*d) - (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) - 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x) + (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) + 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x + 4*d) - 2*(F^(a*c)*b^2*c^2*cos(2*d)^2*log(F)^2 + F^(a*c)*b^2*c^2*log(F)^2*sin(2*d)^2 + 4*(F^(a*c)*cos(2*d)^2 + F^(a*c)*sin(2*d)^2)*e^2)*F^(b*c*x))*f^2/(b^3*c^3*cos(2*d)^2*log(F)^3 + b^3*c^3*log(F)^3*sin(2*d)^2 + 4*(b*c*cos(2*d)^2*log(F) + b*c*log(F)*sin(2*d)^2)*e^2) - ((F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x) - (F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x))*f^2/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2) + F^(b*c*x + a*c)*f^2/(b*c*log(F))","B",0
136,1,218,0,0.342955," ","integrate(F^(c*(b*x+a))*(f+f*sin(e*x+d)),x, algorithm=""maxima"")","-\frac{{\left({\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \cos\left(e x\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \sin\left(e x\right)\right)} f}{2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}\right)}} + \frac{F^{b c x + a c} f}{b c \log\left(F\right)}"," ",0,"-1/2*((F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*cos(e*x) - (F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*sin(e*x))*f/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2) + F^(b*c*x + a*c)*f/(b*c*log(F))","B",0
137,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*sin(e*x+d)),x, algorithm=""maxima"")","\frac{2 \, {\left(6 \, F^{b c x} F^{a c} b c e^{2} \log\left(F\right) + 2 \, {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{2} \log\left(F\right)\right)} F^{b c x} \cos\left(e x + d\right)^{2} + 2 \, {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{2} \log\left(F\right)\right)} F^{b c x} \sin\left(e x + d\right)^{2} + {\left(5 \, F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} - 4 \, F^{a c} e^{3}\right)} F^{b c x} \cos\left(e x + d\right) + {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} + 16 \, F^{a c} b c e^{2} \log\left(F\right)\right)} F^{b c x} \sin\left(e x + d\right) - {\left(6 \, F^{b c x} F^{a c} b c e^{2} \log\left(F\right) + {\left(F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} + 4 \, F^{a c} e^{3}\right)} F^{b c x} \cos\left(e x + d\right) + {\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{2} \log\left(F\right)\right)} F^{b c x} \sin\left(e x + d\right)\right)} \cos\left(2 \, e x + 2 \, d\right) + {\left({\left(F^{a c} b^{3} c^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{2} \log\left(F\right)\right)} F^{b c x} \cos\left(e x + d\right) - {\left(F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} + 4 \, F^{a c} e^{3}\right)} F^{b c x} \sin\left(e x + d\right) + 2 \, {\left(F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} - 2 \, F^{a c} e^{3}\right)} F^{b c x}\right)} \sin\left(2 \, e x + 2 \, d\right) + \frac{6 \, {\left(F^{b c x} b c \cos\left(e x + d\right) \log\left(F\right) - F^{b c x} e \cos\left(2 \, e x + 2 \, d\right)^{2} - F^{b c x} e \sin\left(2 \, e x + 2 \, d\right)^{2} + 2 \, F^{b c x} e \sin\left(e x + d\right) + F^{b c x} e - {\left(F^{b c x} b c \cos\left(e x + d\right) \log\left(F\right) - 2 \, F^{b c x} e \sin\left(e x + d\right)\right)} \cos\left(2 \, e x + 2 \, d\right) - {\left(F^{b c x} b c \log\left(F\right) \sin\left(e x + d\right) + 2 \, F^{b c x} e \cos\left(e x + d\right)\right)} \sin\left(2 \, e x + 2 \, d\right)\right)} {\left({\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f \cos\left(2 \, e x + 2 \, d\right)^{2} + 4 \, {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f \cos\left(e x + d\right)^{2} + 4 \, {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f \cos\left(e x + d\right) \sin\left(2 \, e x + 2 \, d\right) + {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f \sin\left(2 \, e x + 2 \, d\right)^{2} + 4 \, {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f \sin\left(e x + d\right)^{2} + 4 \, {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f \sin\left(e x + d\right) + {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f - 2 \, {\left(2 \, {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f \sin\left(e x + d\right) + {\left(F^{a c} b^{5} c^{5} e \log\left(F\right)^{5} + 5 \, F^{a c} b^{3} c^{3} e^{3} \log\left(F\right)^{3} + 4 \, F^{a c} b c e^{5} \log\left(F\right)\right)} f\right)} \cos\left(2 \, e x + 2 \, d\right)\right)}}{{\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \cos\left(2 \, e x + 2 \, d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \cos\left(e x + d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \cos\left(e x + d\right) \sin\left(2 \, e x + 2 \, d\right) + {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(2 \, e x + 2 \, d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(e x + d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(e x + d\right) + {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f - 2 \, {\left(2 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(e x + d\right) + {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f\right)} \cos\left(2 \, e x + 2 \, d\right)}\right)}}{{\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \cos\left(2 \, e x + 2 \, d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \cos\left(e x + d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \cos\left(e x + d\right) \sin\left(2 \, e x + 2 \, d\right) + {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(2 \, e x + 2 \, d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(e x + d\right)^{2} + 4 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(e x + d\right) + {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f - 2 \, {\left(2 \, {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f \sin\left(e x + d\right) + {\left(b^{4} c^{4} \log\left(F\right)^{4} + 5 \, b^{2} c^{2} e^{2} \log\left(F\right)^{2} + 4 \, e^{4}\right)} f\right)} \cos\left(2 \, e x + 2 \, d\right)}"," ",0,"2*(6*F^(b*c*x)*F^(a*c)*b*c*e^2*log(F) + 2*(F^(a*c)*b^3*c^3*log(F)^3 + 4*F^(a*c)*b*c*e^2*log(F))*F^(b*c*x)*cos(e*x + d)^2 + 2*(F^(a*c)*b^3*c^3*log(F)^3 + 4*F^(a*c)*b*c*e^2*log(F))*F^(b*c*x)*sin(e*x + d)^2 + (5*F^(a*c)*b^2*c^2*e*log(F)^2 - 4*F^(a*c)*e^3)*F^(b*c*x)*cos(e*x + d) + (F^(a*c)*b^3*c^3*log(F)^3 + 16*F^(a*c)*b*c*e^2*log(F))*F^(b*c*x)*sin(e*x + d) - (6*F^(b*c*x)*F^(a*c)*b*c*e^2*log(F) + (F^(a*c)*b^2*c^2*e*log(F)^2 + 4*F^(a*c)*e^3)*F^(b*c*x)*cos(e*x + d) + (F^(a*c)*b^3*c^3*log(F)^3 + 4*F^(a*c)*b*c*e^2*log(F))*F^(b*c*x)*sin(e*x + d))*cos(2*e*x + 2*d) - 2*((F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f*cos(2*e*x + 2*d)^2 + 4*(F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f*cos(e*x + d)^2 + 4*(F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f*cos(e*x + d)*sin(2*e*x + 2*d) + (F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f*sin(2*e*x + 2*d)^2 + 4*(F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f*sin(e*x + d)^2 + 4*(F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f*sin(e*x + d) + (F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f - 2*(2*(F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f*sin(e*x + d) + (F^(a*c)*b^5*c^5*e*log(F)^5 + 5*F^(a*c)*b^3*c^3*e^3*log(F)^3 + 4*F^(a*c)*b*c*e^5*log(F))*f)*cos(2*e*x + 2*d))*integrate((3*F^(b*c*x)*b*c*e*cos(3*e*x + 3*d)*log(F) - 9*F^(b*c*x)*b*c*e*cos(e*x + d)*log(F) - 9*F^(b*c*x)*b*c*e*log(F)*sin(2*e*x + 2*d) - 3*(b^2*c^2*log(F)^2 - 2*e^2)*F^(b*c*x)*cos(2*e*x + 2*d) - (b^2*c^2*log(F)^2 - 2*e^2)*F^(b*c*x)*sin(3*e*x + 3*d) + 3*(b^2*c^2*log(F)^2 - 2*e^2)*F^(b*c*x)*sin(e*x + d) + (b^2*c^2*log(F)^2 - 2*e^2)*F^(b*c*x))/((b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(3*e*x + 3*d)^2 + 9*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(2*e*x + 2*d)^2 + 9*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(e*x + d)^2 + (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(3*e*x + 3*d)^2 + 18*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(e*x + d)*sin(2*e*x + 2*d) + 9*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(2*e*x + 2*d)^2 + 9*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(e*x + d)^2 + 6*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(e*x + d) + (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f - 6*((b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(e*x + d) + (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(2*e*x + 2*d))*cos(3*e*x + 3*d) - 6*(3*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(e*x + d) + (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f)*cos(2*e*x + 2*d) + 2*(3*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(2*e*x + 2*d) - 3*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(e*x + d) - (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f)*sin(3*e*x + 3*d)), x) + ((F^(a*c)*b^3*c^3*log(F)^3 + 4*F^(a*c)*b*c*e^2*log(F))*F^(b*c*x)*cos(e*x + d) - (F^(a*c)*b^2*c^2*e*log(F)^2 + 4*F^(a*c)*e^3)*F^(b*c*x)*sin(e*x + d) + 2*(F^(a*c)*b^2*c^2*e*log(F)^2 - 2*F^(a*c)*e^3)*F^(b*c*x))*sin(2*e*x + 2*d))/((b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(2*e*x + 2*d)^2 + 4*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(e*x + d)^2 + 4*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*cos(e*x + d)*sin(2*e*x + 2*d) + (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(2*e*x + 2*d)^2 + 4*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(e*x + d)^2 + 4*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(e*x + d) + (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f - 2*(2*(b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f*sin(e*x + d) + (b^4*c^4*log(F)^4 + 5*b^2*c^2*e^2*log(F)^2 + 4*e^4)*f)*cos(2*e*x + 2*d))","F",0
138,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*sin(e*x+d))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,1,578,0,0.445165," ","integrate(F^(c*(b*x+a))*(f+f*cos(e*x+d))^2,x, algorithm=""maxima"")","\frac{{\left({\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} + 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right) \log\left(F\right)^{2} - 2 \, F^{a c} b c e \log\left(F\right) \sin\left(2 \, d\right)\right)} F^{b c x} \cos\left(2 \, e x + 4 \, d\right) - {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) - 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x\right) + {\left(F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right) + 2 \, F^{a c} b c e \cos\left(2 \, d\right) \log\left(F\right)\right)} F^{b c x} \sin\left(2 \, e x + 4 \, d\right) + 2 \, {\left(F^{a c} b^{2} c^{2} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{2} + F^{a c} b^{2} c^{2} \log\left(F\right)^{2} \sin\left(2 \, d\right)^{2} + 4 \, {\left(F^{a c} \cos\left(2 \, d\right)^{2} + F^{a c} \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)} F^{b c x}\right)} f^{2}}{4 \, {\left(b^{3} c^{3} \cos\left(2 \, d\right)^{2} \log\left(F\right)^{3} + b^{3} c^{3} \log\left(F\right)^{3} \sin\left(2 \, d\right)^{2} + 4 \, {\left(b c \cos\left(2 \, d\right)^{2} \log\left(F\right) + b c \log\left(F\right) \sin\left(2 \, d\right)^{2}\right)} e^{2}\right)}} + \frac{{\left({\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) + {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x\right) + {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x\right)\right)} f^{2}}{b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}} + \frac{F^{b c x + a c} f^{2}}{b c \log\left(F\right)}"," ",0,"1/4*((F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 + 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x) + (F^(a*c)*b^2*c^2*cos(2*d)*log(F)^2 - 2*F^(a*c)*b*c*e*log(F)*sin(2*d))*F^(b*c*x)*cos(2*e*x + 4*d) - (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) - 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x) + (F^(a*c)*b^2*c^2*log(F)^2*sin(2*d) + 2*F^(a*c)*b*c*e*cos(2*d)*log(F))*F^(b*c*x)*sin(2*e*x + 4*d) + 2*(F^(a*c)*b^2*c^2*cos(2*d)^2*log(F)^2 + F^(a*c)*b^2*c^2*log(F)^2*sin(2*d)^2 + 4*(F^(a*c)*cos(2*d)^2 + F^(a*c)*sin(2*d)^2)*e^2)*F^(b*c*x))*f^2/(b^3*c^3*cos(2*d)^2*log(F)^3 + b^3*c^3*log(F)^3*sin(2*d)^2 + 4*(b*c*cos(2*d)^2*log(F) + b*c*log(F)*sin(2*d)^2)*e^2) + ((F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x + 2*d) + (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x) + (F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x))*f^2/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2) + F^(b*c*x + a*c)*f^2/(b*c*log(F))","B",0
140,1,216,0,0.350903," ","integrate(F^(c*(b*x+a))*(f+f*cos(e*x+d)),x, algorithm=""maxima"")","\frac{{\left({\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) - F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x + 2 \, d\right) + {\left(F^{a c} b c \cos\left(d\right) \log\left(F\right) + F^{a c} e \sin\left(d\right)\right)} F^{b c x} \cos\left(e x\right) + {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) + F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x + 2 \, d\right) - {\left(F^{a c} b c \log\left(F\right) \sin\left(d\right) - F^{a c} e \cos\left(d\right)\right)} F^{b c x} \sin\left(e x\right)\right)} f}{2 \, {\left(b^{2} c^{2} \cos\left(d\right)^{2} \log\left(F\right)^{2} + b^{2} c^{2} \log\left(F\right)^{2} \sin\left(d\right)^{2} + {\left(\cos\left(d\right)^{2} + \sin\left(d\right)^{2}\right)} e^{2}\right)}} + \frac{F^{b c x + a c} f}{b c \log\left(F\right)}"," ",0,"1/2*((F^(a*c)*b*c*cos(d)*log(F) - F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x + 2*d) + (F^(a*c)*b*c*cos(d)*log(F) + F^(a*c)*e*sin(d))*F^(b*c*x)*cos(e*x) + (F^(a*c)*b*c*log(F)*sin(d) + F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x + 2*d) - (F^(a*c)*b*c*log(F)*sin(d) - F^(a*c)*e*cos(d))*F^(b*c*x)*sin(e*x))*f/(b^2*c^2*cos(d)^2*log(F)^2 + b^2*c^2*log(F)^2*sin(d)^2 + (cos(d)^2 + sin(d)^2)*e^2) + F^(b*c*x + a*c)*f/(b*c*log(F))","B",0
141,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*cos(e*x+d)),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*cos(e*x+d))^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
