1,0,0,97,1.017000," ","int(F^(c*(b*x+a))*sin(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \left(\sin^{n}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*sin(e*x+d)^n,x)","F"
2,1,336,199,0.441000," ","int(F^(c*(b*x+a))*sin(e*x+d)^3,x)","-\frac{3 F^{a c} e \,{\mathrm e}^{b c x \ln \left(F \right)}}{4 \left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{3 F^{a c} e \,{\mathrm e}^{b c x \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{4 \left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{3 F^{a c} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{2 \left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{3 F^{a c} e \,{\mathrm e}^{b c x \ln \left(F \right)}}{4 \left(1+\tan^{2}\left(\frac{3 e x}{2}+\frac{3 d}{2}\right)\right) \left(9 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{3 F^{a c} e \,{\mathrm e}^{b c x \ln \left(F \right)} \left(\tan^{2}\left(\frac{3 e x}{2}+\frac{3 d}{2}\right)\right)}{4 \left(1+\tan^{2}\left(\frac{3 e x}{2}+\frac{3 d}{2}\right)\right) \left(9 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{F^{a c} \ln \left(F \right) b c \,{\mathrm e}^{b c x \ln \left(F \right)} \tan \left(\frac{3 e x}{2}+\frac{3 d}{2}\right)}{2 \left(1+\tan^{2}\left(\frac{3 e x}{2}+\frac{3 d}{2}\right)\right) \left(9 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}"," ",0,"-3/4*F^(a*c)/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))+3/4*F^(a*c)/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))*tan(1/2*d+1/2*e*x)^2+3/2*F^(a*c)/(1+tan(1/2*d+1/2*e*x)^2)*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(b*c*x*ln(F))*tan(1/2*d+1/2*e*x)+3/4*F^(a*c)/(1+tan(3/2*e*x+3/2*d)^2)/(9*e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))-3/4*F^(a*c)/(1+tan(3/2*e*x+3/2*d)^2)/(9*e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))*tan(3/2*e*x+3/2*d)^2-1/2*F^(a*c)/(1+tan(3/2*e*x+3/2*d)^2)*ln(F)*b*c/(9*e^2+b^2*c^2*ln(F)^2)*exp(b*c*x*ln(F))*tan(3/2*e*x+3/2*d)","A"
3,1,153,128,0.174000," ","int(F^(c*(b*x+a))*sin(e*x+d)^2,x)","\frac{F^{c \left(b x +a \right)}}{2 b c \ln \left(F \right)}-\frac{\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{4 e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(e x +d \right)}{4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(e x +d \right)\right)}{4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}}{2 \left(1+\tan^{2}\left(e x +d \right)\right)}"," ",0,"1/2/b/c/ln(F)*F^(c*(b*x+a))-1/2*(1/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(c*(b*x+a)*ln(F))+4/(4*e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(e*x+d)-1/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(c*(b*x+a)*ln(F))*tan(e*x+d)^2)/(1+tan(e*x+d)^2)","A"
4,1,130,73,0.040000," ","int(F^(c*(b*x+a))*sin(e*x+d),x)","\frac{\frac{e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{2 b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}"," ",0,"(1/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2-1/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))+2*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x))/(1+tan(1/2*d+1/2*e*x)^2)","A"
5,0,0,70,0.090000," ","int(F^(c*(b*x+a))*csc(e*x+d),x)","\int F^{c \left(b x +a \right)} \csc \left(e x +d \right)\, dx"," ",0,"int(F^(c*(b*x+a))*csc(e*x+d),x)","F"
6,0,0,69,0.165000," ","int(F^(c*(b*x+a))*csc(e*x+d)^2,x)","\int F^{c \left(b x +a \right)} \left(\csc^{2}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*csc(e*x+d)^2,x)","F"
7,0,0,122,0.221000," ","int(F^(c*(b*x+a))*csc(e*x+d)^3,x)","\int F^{c \left(b x +a \right)} \left(\csc^{3}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*csc(e*x+d)^3,x)","F"
8,0,0,126,0.241000," ","int(F^(c*(b*x+a))*csc(e*x+d)^4,x)","\int F^{c \left(b x +a \right)} \left(\csc^{4}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*csc(e*x+d)^4,x)","F"
9,1,34,39,0.032000," ","int(exp(x)*sin(x)^4,x)","\frac{\left(\sin \left(x \right)-4 \cos \left(x \right)\right) {\mathrm e}^{x} \left(\sin^{3}\left(x \right)\right)}{17}+\frac{12 \left(\sin \left(x \right)-2 \cos \left(x \right)\right) {\mathrm e}^{x} \sin \left(x \right)}{85}+\frac{24 \,{\mathrm e}^{x}}{85}"," ",0,"1/17*(sin(x)-4*cos(x))*exp(x)*sin(x)^3+12/85*(sin(x)-2*cos(x))*exp(x)*sin(x)+24/85*exp(x)","A"
10,0,0,97,0.802000," ","int(F^(c*(b*x+a))*cos(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \left(\cos^{n}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*cos(e*x+d)^n,x)","F"
11,1,274,199,0.427000," ","int(F^(c*(b*x+a))*cos(e*x+d)^3,x)","\frac{\frac{\ln \left(F \right) b c \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{9 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{6 e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{3 e x}{2}+\frac{3 d}{2}\right)}{9 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{\ln \left(F \right) b c \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{3 e x}{2}+\frac{3 d}{2}\right)\right)}{9 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}}{4+4 \left(\tan^{2}\left(\frac{3 e x}{2}+\frac{3 d}{2}\right)\right)}+\frac{\frac{3 b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{4 \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{3 e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{2 \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{3 b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{4 \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}"," ",0,"1/4*(ln(F)*b*c/(9*e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))+6/(9*e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(3/2*e*x+3/2*d)-ln(F)*b*c/(9*e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(3/2*e*x+3/2*d)^2)/(1+tan(3/2*e*x+3/2*d)^2)+3/4*(b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))+2/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)-b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2)/(1+tan(1/2*d+1/2*e*x)^2)","A"
12,1,153,128,0.131000," ","int(F^(c*(b*x+a))*cos(e*x+d)^2,x)","\frac{F^{c \left(b x +a \right)}}{2 b c \ln \left(F \right)}+\frac{\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{4 e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(e x +d \right)}{4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(e x +d \right)\right)}{4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}}{2+2 \left(\tan^{2}\left(e x +d \right)\right)}"," ",0,"1/2/b/c/ln(F)*F^(c*(b*x+a))+1/2*(1/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(c*(b*x+a)*ln(F))+4/(4*e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(e*x+d)-1/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(c*(b*x+a)*ln(F))*tan(e*x+d)^2)/(1+tan(e*x+d)^2)","A"
13,1,133,72,0.035000," ","int(F^(c*(b*x+a))*cos(e*x+d),x)","\frac{\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{2 e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}"," ",0,"(b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))+2/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)-b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2)/(1+tan(1/2*d+1/2*e*x)^2)","A"
14,0,0,73,0.101000," ","int(F^(c*(b*x+a))*sec(e*x+d),x)","\int F^{c \left(b x +a \right)} \sec \left(e x +d \right)\, dx"," ",0,"int(F^(c*(b*x+a))*sec(e*x+d),x)","F"
15,0,0,71,0.162000," ","int(F^(c*(b*x+a))*sec(e*x+d)^2,x)","\int F^{c \left(b x +a \right)} \left(\sec^{2}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*sec(e*x+d)^2,x)","F"
16,0,0,126,0.302000," ","int(F^(c*(b*x+a))*sec(e*x+d)^3,x)","\int F^{c \left(b x +a \right)} \left(\sec^{3}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*sec(e*x+d)^3,x)","F"
17,0,0,128,0.354000," ","int(F^(c*(b*x+a))*sec(e*x+d)^4,x)","\int F^{c \left(b x +a \right)} \left(\sec^{4}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*sec(e*x+d)^4,x)","F"
18,1,34,39,0.034000," ","int(exp(x)*cos(x)^4,x)","\frac{\left(\cos \left(x \right)+4 \sin \left(x \right)\right) {\mathrm e}^{x} \left(\cos^{3}\left(x \right)\right)}{17}+\frac{12 \left(\cos \left(x \right)+2 \sin \left(x \right)\right) {\mathrm e}^{x} \cos \left(x \right)}{85}+\frac{24 \,{\mathrm e}^{x}}{85}"," ",0,"1/17*(cos(x)+4*sin(x))*exp(x)*cos(x)^3+12/85*(cos(x)+2*sin(x))*exp(x)*cos(x)+24/85*exp(x)","A"
19,0,0,168,0.246000," ","int(exp(c*(b*x+a))*tan(e*x+d)^3,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\tan^{3}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*tan(e*x+d)^3,x)","F"
20,0,0,115,0.142000," ","int(exp(c*(b*x+a))*tan(e*x+d)^2,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\tan^{2}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*tan(e*x+d)^2,x)","F"
21,0,0,68,0.127000," ","int(exp(c*(b*x+a))*tan(e*x+d),x)","\int {\mathrm e}^{c \left(b x +a \right)} \tan \left(e x +d \right)\, dx"," ",0,"int(exp(c*(b*x+a))*tan(e*x+d),x)","F"
22,0,0,66,0.179000," ","int(exp(c*(b*x+a))*cot(e*x+d),x)","\int {\mathrm e}^{c \left(b x +a \right)} \cot \left(e x +d \right)\, dx"," ",0,"int(exp(c*(b*x+a))*cot(e*x+d),x)","F"
23,0,0,111,0.190000," ","int(exp(c*(b*x+a))*cot(e*x+d)^2,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\cot^{2}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*cot(e*x+d)^2,x)","F"
24,0,0,162,0.278000," ","int(exp(c*(b*x+a))*cot(e*x+d)^3,x)","\int {\mathrm e}^{c \left(b x +a \right)} \left(\cot^{3}\left(e x +d \right)\right)\, dx"," ",0,"int(exp(c*(b*x+a))*cot(e*x+d)^3,x)","F"
25,0,0,71,0.225000," ","int(F^(b*x+a)*cot(1/4*Pi+1/2*d*x+1/2*c),x)","\int F^{b x +a} \cot \left(\frac{\pi}{4}+\frac{d x}{2}+\frac{c}{2}\right)\, dx"," ",0,"int(F^(b*x+a)*cot(1/4*Pi+1/2*d*x+1/2*c),x)","F"
26,0,0,91,0.882000," ","int(F^(c*(b*x+a))*sec(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \left(\sec^{n}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*sec(e*x+d)^n,x)","F"
27,0,0,95,0.984000," ","int(F^(c*(b*x+a))*csc(e*x+d)^n,x)","\int F^{c \left(b x +a \right)} \left(\csc^{n}\left(e x +d \right)\right)\, dx"," ",0,"int(F^(c*(b*x+a))*csc(e*x+d)^n,x)","F"
28,0,0,127,0.433000," ","int(F^(c*(b*x+a))*(f*x)^m*sin(e*x+d),x)","\int F^{c \left(b x +a \right)} \left(f x \right)^{m} \sin \left(e x +d \right)\, dx"," ",0,"int(F^(c*(b*x+a))*(f*x)^m*sin(e*x+d),x)","F"
29,0,0,24,0.149000," ","int(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d),x)","\int \frac{F^{c \left(b x +a \right)} \left(f x \right)^{m}}{\sin \left(e x +d \right)}\, dx"," ",0,"int(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d),x)","F"
30,0,0,26,0.182000," ","int(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d)^2,x)","\int \frac{F^{c \left(b x +a \right)} \left(f x \right)^{m}}{\sin \left(e x +d \right)^{2}}\, dx"," ",0,"int(F^(c*(b*x+a))*(f*x)^m/sin(e*x+d)^2,x)","F"
31,1,213,24,0.371000," ","int(f*F^(c*(b*x+a))*(f*x)^(-2+m)*(e*x*cos(e*x+d)+(-1+m+b*c*x*ln(F))*sin(e*x+d)),x)","-\frac{i F^{c \left(b x +a \right)} x f \left(\frac{f^{m} x^{m} {\mathrm e}^{i e x} {\mathrm e}^{i d} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{3} m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i f \right) m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i x \right) m}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i f x \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) m}{2}}}{f^{2} x^{2}}-\frac{f^{m} x^{m} {\mathrm e}^{-i e x} {\mathrm e}^{-i d} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{3} m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i f \right) m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i x \right) m}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i f x \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) m}{2}}}{f^{2} x^{2}}\right)}{2}"," ",0,"-1/2*I*F^(c*(b*x+a))*x*f*(f^m*x^m/f^2/x^2*exp(I*e*x)*exp(I*d)*exp(-1/2*I*Pi*csgn(I*f*x)^3*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*f)*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*x)*m)*exp(-1/2*I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)*m)-f^m*x^m/f^2/x^2*exp(-I*e*x)*exp(-I*d)*exp(-1/2*I*Pi*csgn(I*f*x)^3*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*f)*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*x)*m)*exp(-1/2*I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)*m))","C"
32,1,201,23,0.256000," ","int(f*F^(c*(b*x+a))*(f*x)^m*(e*x*cos(e*x+d)+(1+m+b*c*x*ln(F))*sin(e*x+d)),x)","-\frac{i F^{c \left(b x +a \right)} x f \left(f^{m} x^{m} {\mathrm e}^{i e x} {\mathrm e}^{i d} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{3} m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i f \right) m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i x \right) m}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i f x \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) m}{2}}-f^{m} x^{m} {\mathrm e}^{-i e x} {\mathrm e}^{-i d} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{3} m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i f \right) m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i x \right) m}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i f x \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) m}{2}}\right)}{2}"," ",0,"-1/2*I*F^(c*(b*x+a))*x*f*(f^m*x^m*exp(I*e*x)*exp(I*d)*exp(-1/2*I*Pi*csgn(I*f*x)^3*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*f)*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*x)*m)*exp(-1/2*I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)*m)-f^m*x^m*exp(-I*e*x)*exp(-I*d)*exp(-1/2*I*Pi*csgn(I*f*x)^3*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*f)*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*x)*m)*exp(-1/2*I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)*m))","C"
33,1,199,22,0.233000," ","int(F^(c*(b*x+a))*(f*x)^m*(e*x*cos(e*x+d)+(m+b*c*x*ln(F))*sin(e*x+d))/x,x)","-\frac{i F^{c \left(b x +a \right)} \left(f^{m} x^{m} {\mathrm e}^{i e x} {\mathrm e}^{i d} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{3} m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i f \right) m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i x \right) m}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i f x \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) m}{2}}-f^{m} x^{m} {\mathrm e}^{-i e x} {\mathrm e}^{-i d} {\mathrm e}^{-\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{3} m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i f \right) m}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i f x \right)^{2} \mathrm{csgn}\left(i x \right) m}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i f x \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) m}{2}}\right)}{2}"," ",0,"-1/2*I*F^(c*(b*x+a))*(f^m*x^m*exp(I*e*x)*exp(I*d)*exp(-1/2*I*Pi*csgn(I*f*x)^3*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*f)*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*x)*m)*exp(-1/2*I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)*m)-f^m*x^m*exp(-I*e*x)*exp(-I*d)*exp(-1/2*I*Pi*csgn(I*f*x)^3*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*f)*m)*exp(1/2*I*Pi*csgn(I*f*x)^2*csgn(I*x)*m)*exp(-1/2*I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)*m))","C"
34,1,682,17,0.162000," ","int(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(1+b*c*x*ln(F))*sin(e*x+d)),x)","\frac{\frac{e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{2 b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}+\frac{e \left(\frac{\left(b^{2} c^{2} \ln \left(F \right)^{2}-e^{2}\right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{\left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)^{2}}+\frac{b c \ln \left(F \right) x \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{\left(b^{2} c^{2} \ln \left(F \right)^{2}-e^{2}\right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{\left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)^{2}}+\frac{2 e x \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{4 b c \ln \left(F \right) e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)^{2}}-\frac{b c \ln \left(F \right) x \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}\right)}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}+\frac{b c \ln \left(F \right) \left(\frac{e x \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{e x \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{2 \left(b^{2} c^{2} \ln \left(F \right)^{2}-e^{2}\right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)^{2}}+\frac{2 b c \ln \left(F \right) e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{\left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)^{2}}-\frac{2 b c \ln \left(F \right) e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{\left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)^{2}}+\frac{2 b c \ln \left(F \right) x \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}\right)}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}"," ",0,"(1/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2-1/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))+2*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x))/(1+tan(1/2*d+1/2*e*x)^2)+e*((b^2*c^2*ln(F)^2-e^2)/(e^2+b^2*c^2*ln(F)^2)^2*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2+b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*x*exp(c*(b*x+a)*ln(F))-(b^2*c^2*ln(F)^2-e^2)/(e^2+b^2*c^2*ln(F)^2)^2*exp(c*(b*x+a)*ln(F))+2/(e^2+b^2*c^2*ln(F)^2)*e*x*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)-4*b*c*ln(F)*e/(e^2+b^2*c^2*ln(F)^2)^2*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)-b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*x*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2)/(1+tan(1/2*d+1/2*e*x)^2)+b*c*ln(F)*(1/(e^2+b^2*c^2*ln(F)^2)*e*x*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2-1/(e^2+b^2*c^2*ln(F)^2)*e*x*exp(c*(b*x+a)*ln(F))-2*(b^2*c^2*ln(F)^2-e^2)/(e^2+b^2*c^2*ln(F)^2)^2*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)+2*b*c*ln(F)*e/(e^2+b^2*c^2*ln(F)^2)^2*exp(c*(b*x+a)*ln(F))-2*b*c*ln(F)*e/(e^2+b^2*c^2*ln(F)^2)^2*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2+2*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*x*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x))/(1+tan(1/2*d+1/2*e*x)^2)","B"
35,1,268,16,0.038000," ","int(F^(c*(b*x+a))*(e*cos(e*x+d)+b*c*ln(F)*sin(e*x+d)),x)","\frac{e \left(\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{2 e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}\right)}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}+\frac{b c \ln \left(F \right) \left(\frac{e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}-\frac{e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}+\frac{2 b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}}\right)}{1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)}"," ",0,"e*(b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))+2/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)-b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2)/(1+tan(1/2*d+1/2*e*x)^2)+b*c*ln(F)*(1/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2-1/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))+2*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x))/(1+tan(1/2*d+1/2*e*x)^2)","B"
36,1,40,20,0.132000," ","int(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(-1+b*c*x*ln(F))*sin(e*x+d))/x^2,x)","\frac{2 \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) x}"," ",0,"2*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)/(1+tan(1/2*d+1/2*e*x)^2)/x","A"
37,1,40,20,0.157000," ","int(F^(c*(b*x+a))*(e*x*cos(e*x+d)+(-2+b*c*x*ln(F))*sin(e*x+d))/x^3,x)","\frac{2 \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) x^{2}}"," ",0,"2*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)/(1+tan(1/2*d+1/2*e*x)^2)/x^2","A"
38,1,60,59,0.059000," ","int(exp(b*x+a)*cos(d*x+c)*sin(d*x+c),x)","-\frac{d \,{\mathrm e}^{b x +a} \cos \left(2 d x +2 c \right)}{b^{2}+4 d^{2}}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(2 d x +2 c \right)}{2 b^{2}+8 d^{2}}"," ",0,"-d*exp(b*x+a)*cos(2*d*x+2*c)/(b^2+4*d^2)+1/2*b*exp(b*x+a)*sin(2*d*x+2*c)/(b^2+4*d^2)","A"
39,1,108,107,0.160000," ","int(exp(b*x+a)*cos(d*x+c)*sin(d*x+c)^2,x)","\frac{b \,{\mathrm e}^{b x +a} \cos \left(d x +c \right)}{4 b^{2}+4 d^{2}}-\frac{b \,{\mathrm e}^{b x +a} \cos \left(3 d x +3 c \right)}{4 \left(b^{2}+9 d^{2}\right)}+\frac{d \,{\mathrm e}^{b x +a} \sin \left(d x +c \right)}{4 b^{2}+4 d^{2}}-\frac{3 d \,{\mathrm e}^{b x +a} \sin \left(3 d x +3 c \right)}{4 \left(b^{2}+9 d^{2}\right)}"," ",0,"1/4*b*exp(b*x+a)*cos(d*x+c)/(b^2+d^2)-1/4*b*exp(b*x+a)*cos(3*d*x+3*c)/(b^2+9*d^2)+1/4*d*exp(b*x+a)*sin(d*x+c)/(b^2+d^2)-3/4*d*exp(b*x+a)*sin(3*d*x+3*c)/(b^2+9*d^2)","A"
40,1,118,117,0.097000," ","int(exp(b*x+a)*cos(d*x+c)*sin(d*x+c)^3,x)","-\frac{d \,{\mathrm e}^{b x +a} \cos \left(2 d x +2 c \right)}{2 \left(b^{2}+4 d^{2}\right)}+\frac{d \,{\mathrm e}^{b x +a} \cos \left(4 d x +4 c \right)}{2 b^{2}+32 d^{2}}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(2 d x +2 c \right)}{4 b^{2}+16 d^{2}}-\frac{b \,{\mathrm e}^{b x +a} \sin \left(4 d x +4 c \right)}{8 \left(b^{2}+16 d^{2}\right)}"," ",0,"-1/2*d*exp(b*x+a)*cos(2*d*x+2*c)/(b^2+4*d^2)+1/2*d*exp(b*x+a)*cos(4*d*x+4*c)/(b^2+16*d^2)+1/4*b*exp(b*x+a)*sin(2*d*x+2*c)/(b^2+4*d^2)-1/8*b*exp(b*x+a)*sin(4*d*x+4*c)/(b^2+16*d^2)","A"
41,1,108,107,0.095000," ","int(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c),x)","-\frac{d \,{\mathrm e}^{b x +a} \cos \left(d x +c \right)}{4 \left(b^{2}+d^{2}\right)}-\frac{3 d \,{\mathrm e}^{b x +a} \cos \left(3 d x +3 c \right)}{4 \left(b^{2}+9 d^{2}\right)}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(d x +c \right)}{4 b^{2}+4 d^{2}}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(3 d x +3 c \right)}{4 b^{2}+36 d^{2}}"," ",0,"-1/4*d*exp(b*x+a)*cos(d*x+c)/(b^2+d^2)-3/4*d*exp(b*x+a)*cos(3*d*x+3*c)/(b^2+9*d^2)+1/4*b*exp(b*x+a)*sin(d*x+c)/(b^2+d^2)+1/4*b*exp(b*x+a)*sin(3*d*x+3*c)/(b^2+9*d^2)","A"
42,1,71,70,0.120000," ","int(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c)^2,x)","\frac{{\mathrm e}^{b x +a}}{8 b}-\frac{b \,{\mathrm e}^{b x +a} \cos \left(4 d x +4 c \right)}{8 \left(b^{2}+16 d^{2}\right)}-\frac{d \,{\mathrm e}^{b x +a} \sin \left(4 d x +4 c \right)}{2 \left(b^{2}+16 d^{2}\right)}"," ",0,"1/8*exp(b*x+a)/b-1/8*b*exp(b*x+a)*cos(4*d*x+4*c)/(b^2+16*d^2)-1/2*d*exp(b*x+a)*sin(4*d*x+4*c)/(b^2+16*d^2)","A"
43,1,166,165,0.079000," ","int(exp(b*x+a)*cos(d*x+c)^2*sin(d*x+c)^3,x)","-\frac{d \,{\mathrm e}^{b x +a} \cos \left(d x +c \right)}{8 \left(b^{2}+d^{2}\right)}-\frac{3 d \,{\mathrm e}^{b x +a} \cos \left(3 d x +3 c \right)}{16 \left(b^{2}+9 d^{2}\right)}+\frac{5 d \,{\mathrm e}^{b x +a} \cos \left(5 d x +5 c \right)}{16 \left(b^{2}+25 d^{2}\right)}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(d x +c \right)}{8 b^{2}+8 d^{2}}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(3 d x +3 c \right)}{16 b^{2}+144 d^{2}}-\frac{b \,{\mathrm e}^{b x +a} \sin \left(5 d x +5 c \right)}{16 \left(b^{2}+25 d^{2}\right)}"," ",0,"-1/8*d*exp(b*x+a)*cos(d*x+c)/(b^2+d^2)-3/16*d*exp(b*x+a)*cos(3*d*x+3*c)/(b^2+9*d^2)+5/16*d*exp(b*x+a)*cos(5*d*x+5*c)/(b^2+25*d^2)+1/8*b*exp(b*x+a)*sin(d*x+c)/(b^2+d^2)+1/16*b*exp(b*x+a)*sin(3*d*x+3*c)/(b^2+9*d^2)-1/16*b*exp(b*x+a)*sin(5*d*x+5*c)/(b^2+25*d^2)","A"
44,1,118,117,0.091000," ","int(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c),x)","-\frac{d \,{\mathrm e}^{b x +a} \cos \left(2 d x +2 c \right)}{2 \left(b^{2}+4 d^{2}\right)}-\frac{d \,{\mathrm e}^{b x +a} \cos \left(4 d x +4 c \right)}{2 \left(b^{2}+16 d^{2}\right)}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(2 d x +2 c \right)}{4 b^{2}+16 d^{2}}+\frac{b \,{\mathrm e}^{b x +a} \sin \left(4 d x +4 c \right)}{8 b^{2}+128 d^{2}}"," ",0,"-1/2*d*exp(b*x+a)*cos(2*d*x+2*c)/(b^2+4*d^2)-1/2*d*exp(b*x+a)*cos(4*d*x+4*c)/(b^2+16*d^2)+1/4*b*exp(b*x+a)*sin(2*d*x+2*c)/(b^2+4*d^2)+1/8*b*exp(b*x+a)*sin(4*d*x+4*c)/(b^2+16*d^2)","A"
45,1,166,165,0.135000," ","int(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c)^2,x)","\frac{b \,{\mathrm e}^{b x +a} \cos \left(d x +c \right)}{8 b^{2}+8 d^{2}}-\frac{b \,{\mathrm e}^{b x +a} \cos \left(3 d x +3 c \right)}{16 \left(b^{2}+9 d^{2}\right)}-\frac{b \,{\mathrm e}^{b x +a} \cos \left(5 d x +5 c \right)}{16 \left(b^{2}+25 d^{2}\right)}+\frac{d \,{\mathrm e}^{b x +a} \sin \left(d x +c \right)}{8 b^{2}+8 d^{2}}-\frac{3 d \,{\mathrm e}^{b x +a} \sin \left(3 d x +3 c \right)}{16 \left(b^{2}+9 d^{2}\right)}-\frac{5 d \,{\mathrm e}^{b x +a} \sin \left(5 d x +5 c \right)}{16 \left(b^{2}+25 d^{2}\right)}"," ",0,"1/8*b*exp(b*x+a)*cos(d*x+c)/(b^2+d^2)-1/16*b*exp(b*x+a)*cos(3*d*x+3*c)/(b^2+9*d^2)-1/16*b*exp(b*x+a)*cos(5*d*x+5*c)/(b^2+25*d^2)+1/8*d*exp(b*x+a)*sin(d*x+c)/(b^2+d^2)-3/16*d*exp(b*x+a)*sin(3*d*x+3*c)/(b^2+9*d^2)-5/16*d*exp(b*x+a)*sin(5*d*x+5*c)/(b^2+25*d^2)","A"
46,1,118,117,0.105000," ","int(exp(b*x+a)*cos(d*x+c)^3*sin(d*x+c)^3,x)","-\frac{3 d \,{\mathrm e}^{b x +a} \cos \left(2 d x +2 c \right)}{16 \left(b^{2}+4 d^{2}\right)}+\frac{3 d \,{\mathrm e}^{b x +a} \cos \left(6 d x +6 c \right)}{16 \left(b^{2}+36 d^{2}\right)}+\frac{3 b \,{\mathrm e}^{b x +a} \sin \left(2 d x +2 c \right)}{32 \left(b^{2}+4 d^{2}\right)}-\frac{b \,{\mathrm e}^{b x +a} \sin \left(6 d x +6 c \right)}{32 \left(b^{2}+36 d^{2}\right)}"," ",0,"-3/16*d*exp(b*x+a)*cos(2*d*x+2*c)/(b^2+4*d^2)+3/16*d*exp(b*x+a)*cos(6*d*x+6*c)/(b^2+36*d^2)+3/32*b*exp(b*x+a)*sin(2*d*x+2*c)/(b^2+4*d^2)-1/32*b*exp(b*x+a)*sin(6*d*x+6*c)/(b^2+36*d^2)","A"
47,1,19,21,0.031000," ","int(exp(x)*x*sin(x),x)","\left(-\frac{x}{2}+\frac{1}{2}\right) {\mathrm e}^{x} \cos \left(x \right)+\frac{{\mathrm e}^{x} x \sin \left(x \right)}{2}"," ",0,"(-1/2*x+1/2)*exp(x)*cos(x)+1/2*exp(x)*x*sin(x)","A"
48,1,27,37,0.025000," ","int(exp(x)*x^2*sin(x),x)","\left(-\frac{1}{2} x^{2}+x -\frac{1}{2}\right) {\mathrm e}^{x} \cos \left(x \right)+\left(\frac{x^{2}}{2}-\frac{1}{2}\right) {\mathrm e}^{x} \sin \left(x \right)"," ",0,"(-1/2*x^2+x-1/2)*exp(x)*cos(x)+(1/2*x^2-1/2)*exp(x)*sin(x)","A"
49,1,20,21,0.027000," ","int(exp(x)*x*cos(x),x)","\frac{{\mathrm e}^{x} x \cos \left(x \right)}{2}-\left(-\frac{x}{2}+\frac{1}{2}\right) {\mathrm e}^{x} \sin \left(x \right)"," ",0,"1/2*exp(x)*x*cos(x)-(-1/2*x+1/2)*exp(x)*sin(x)","A"
50,1,28,38,0.028000," ","int(exp(x)*x^2*cos(x),x)","\left(\frac{x^{2}}{2}-\frac{1}{2}\right) {\mathrm e}^{x} \cos \left(x \right)-\left(-\frac{1}{2} x^{2}+x -\frac{1}{2}\right) {\mathrm e}^{x} \sin \left(x \right)"," ",0,"(1/2*x^2-1/2)*exp(x)*cos(x)-(-1/2*x^2+x-1/2)*exp(x)*sin(x)","A"
51,1,103,21,0.054000," ","int(exp(3*x)*(-5*cos(4*x)+2*sin(4*x)),x)","-\frac{8 \left(3 \cos \left(x \right)+4 \sin \left(x \right)\right) {\mathrm e}^{3 x} \left(\cos^{3}\left(x \right)\right)}{5}+\frac{8 \left(3 \cos \left(x \right)+2 \sin \left(x \right)\right) {\mathrm e}^{3 x} \cos \left(x \right)}{5}-\frac{3 \,{\mathrm e}^{3 x}}{5}-\frac{8 \,{\mathrm e}^{3 x} \cos \left(4 x \right)}{25}+\frac{6 \,{\mathrm e}^{3 x} \sin \left(4 x \right)}{25}-\frac{8 \,{\mathrm e}^{3 x} \cos \left(2 x \right)}{13}+\frac{12 \,{\mathrm e}^{3 x} \sin \left(2 x \right)}{13}-\frac{4 \,{\mathrm e}^{3 x} \left(3 \sin \left(2 x \right)-2 \cos \left(2 x \right)\right)}{13}"," ",0,"-8/5*(3*cos(x)+4*sin(x))*exp(3*x)*cos(x)^3+8/5*(3*cos(x)+2*sin(x))*exp(3*x)*cos(x)-3/5*exp(x)^3-8/25*exp(3*x)*cos(4*x)+6/25*exp(3*x)*sin(4*x)-8/13*exp(3*x)*cos(2*x)+12/13*exp(3*x)*sin(2*x)-4/13*exp(3*x)*(3*sin(2*x)-2*cos(2*x))","B"
52,1,30,29,0.027000," ","int(sin(x)/exp(x)+exp(x)*sin(x),x)","-\frac{{\mathrm e}^{x} \cos \left(x \right)}{2}+\frac{{\mathrm e}^{x} \sin \left(x \right)}{2}-\frac{{\mathrm e}^{-x} \cos \left(x \right)}{2}-\frac{{\mathrm e}^{-x} \sin \left(x \right)}{2}"," ",0,"-1/2*exp(x)*cos(x)+1/2*exp(x)*sin(x)-1/2*exp(-x)*cos(x)-1/2*exp(-x)*sin(x)","A"
53,0,0,77,0.369000," ","int(F^(b*x+a)*cos(d*x+c)/(e+e*sin(d*x+c)),x)","\int \frac{F^{b x +a} \cos \left(d x +c \right)}{e +e \sin \left(d x +c \right)}\, dx"," ",0,"int(F^(b*x+a)*cos(d*x+c)/(e+e*sin(d*x+c)),x)","F"
54,0,0,77,0.370000," ","int(F^(b*x+a)*cos(d*x+c)/(e-e*sin(d*x+c)),x)","\int \frac{F^{b x +a} \cos \left(d x +c \right)}{e -e \sin \left(d x +c \right)}\, dx"," ",0,"int(F^(b*x+a)*cos(d*x+c)/(e-e*sin(d*x+c)),x)","F"
55,0,0,76,0.162000," ","int(F^(b*x+a)*sin(d*x+c)/(e+e*cos(d*x+c)),x)","\int \frac{F^{b x +a} \sin \left(d x +c \right)}{e +e \cos \left(d x +c \right)}\, dx"," ",0,"int(F^(b*x+a)*sin(d*x+c)/(e+e*cos(d*x+c)),x)","F"
56,0,0,74,0.188000," ","int(F^(b*x+a)*sin(d*x+c)/(e-e*cos(d*x+c)),x)","\int \frac{F^{b x +a} \sin \left(d x +c \right)}{e -e \cos \left(d x +c \right)}\, dx"," ",0,"int(F^(b*x+a)*sin(d*x+c)/(e-e*cos(d*x+c)),x)","F"
57,1,42,41,0.124000," ","int(exp(x^2)*sin(b*x),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} \erf \left(-i x +\frac{b}{2}\right)}{4}+\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} \erf \left(i x +\frac{b}{2}\right)}{4}"," ",0,"1/4*Pi^(1/2)*exp(1/4*b^2)*erf(-I*x+1/2*b)+1/4*Pi^(1/2)*exp(1/4*b^2)*erf(I*x+1/2*b)","A"
58,1,44,39,0.085000," ","int(exp(x^2)*cos(b*x),x)","-\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} \erf \left(i x +\frac{b}{2}\right)}{4}+\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} \erf \left(-i x +\frac{b}{2}\right)}{4}"," ",0,"-1/4*I*Pi^(1/2)*exp(1/4*b^2)*erf(I*x+1/2*b)+1/4*I*Pi^(1/2)*exp(1/4*b^2)*erf(-I*x+1/2*b)","A"
59,1,52,51,0.082000," ","int(exp(x^2)*sin(b*x+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{i a} \erf \left(-i x +\frac{b}{2}\right)}{4}+\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{-i a} \erf \left(i x +\frac{b}{2}\right)}{4}"," ",0,"1/4*Pi^(1/2)*exp(1/4*b^2)*exp(I*a)*erf(-I*x+1/2*b)+1/4*Pi^(1/2)*exp(1/4*b^2)*exp(-I*a)*erf(I*x+1/2*b)","A"
60,1,54,49,0.075000," ","int(exp(x^2)*cos(b*x+a),x)","-\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{-i a} \erf \left(i x +\frac{b}{2}\right)}{4}+\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{i a} \erf \left(-i x +\frac{b}{2}\right)}{4}"," ",0,"-1/4*I*Pi^(1/2)*exp(1/4*b^2)*exp(-I*a)*erf(I*x+1/2*b)+1/4*I*Pi^(1/2)*exp(1/4*b^2)*exp(I*a)*erf(-I*x+1/2*b)","A"
61,1,30,29,0.062000," ","int(exp(2*x^2)*x*cos(2*x^2),x)","\frac{{\mathrm e}^{2 x^{2}} \cos \left(2 x^{2}\right)}{8}+\frac{{\mathrm e}^{2 x^{2}} \sin \left(2 x^{2}\right)}{8}"," ",0,"1/8*exp(2*x^2)*cos(2*x^2)+1/8*exp(2*x^2)*sin(2*x^2)","A"
62,1,6,5,0.004000," ","int(exp(x)*sin(exp(x)),x)","-\cos \left({\mathrm e}^{x}\right)"," ",0,"-cos(exp(x))","A"
63,1,5,4,0.080000," ","int(exp(x)*csc(exp(x))*sec(exp(x)),x)","\ln \left(\tan \left({\mathrm e}^{x}\right)\right)"," ",0,"ln(tan(exp(x)))","A"
64,1,4,3,0.038000," ","int(exp(x)*cos(exp(x)),x)","\sin \left({\mathrm e}^{x}\right)"," ",0,"sin(exp(x))","A"
65,1,8,7,0.039000," ","int(exp(2*x)*cos(exp(2*x)),x)","\frac{\sin \left({\mathrm e}^{2 x}\right)}{2}"," ",0,"1/2*sin(exp(2*x))","A"
66,1,8,7,0.046000," ","int(cos(exp(-2*x))/exp(2*x),x)","-\frac{\sin \left({\mathrm e}^{-2 x}\right)}{2}"," ",0,"-1/2*sin(exp(-2*x))","A"
67,1,24,10,0.050000," ","int(exp(2*x)*cos(exp(x)),x)","\frac{2 \,{\mathrm e}^{x} \tan \left(\frac{{\mathrm e}^{x}}{2}\right)+2}{1+\tan^{2}\left(\frac{{\mathrm e}^{x}}{2}\right)}"," ",0,"(2*exp(x)*tan(1/2*exp(x))+2)/(1+tan(1/2*exp(x))^2)","B"
68,1,25,24,0.258000," ","int(exp(-1+3*x)*cos(exp(-1+3*x))*sin(1+exp(-1+3*x)),x)","-\frac{\cos \left(1+2 \,{\mathrm e}^{-1+3 x}\right)}{12}+\frac{{\mathrm e}^{-1+3 x} \sin \left(1\right)}{6}"," ",0,"-1/12*cos(1+2*exp(-1+3*x))+1/6*exp(-1+3*x)*sin(1)","A"
69,1,7,6,0.003000," ","int(exp(x)*tan(exp(x)),x)","-\ln \left(\cos \left({\mathrm e}^{x}\right)\right)"," ",0,"-ln(cos(exp(x)))","A"
70,1,9,4,0.003000," ","int(exp(x)*sec(exp(x)),x)","\ln \left(\sec \left({\mathrm e}^{x}\right)+\tan \left({\mathrm e}^{x}\right)\right)"," ",0,"ln(sec(exp(x))+tan(exp(x)))","A"
71,1,4,3,0.029000," ","int(exp(x)*sec(exp(x))*tan(exp(x)),x)","\sec \left({\mathrm e}^{x}\right)"," ",0,"sec(exp(x))","A"
72,1,6,5,0.027000," ","int(exp(x)*csc(exp(x))^2,x)","-\cot \left({\mathrm e}^{x}\right)"," ",0,"-cot(exp(x))","A"
73,1,36,35,0.006000," ","int(exp(x)*sin(b*x+a),x)","-\frac{b \,{\mathrm e}^{x} \cos \left(b x +a \right)}{b^{2}+1}+\frac{{\mathrm e}^{x} \sin \left(b x +a \right)}{b^{2}+1}"," ",0,"-b*exp(x)*cos(b*x+a)/(b^2+1)+exp(x)*sin(b*x+a)/(b^2+1)","A"
74,1,88,79,0.158000," ","int(exp(x)*sin(c*x^2+a),x)","-\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{i \left(4 a c +1\right)}{4 c}} \erf \left(\sqrt{-i c}\, x -\frac{1}{2 \sqrt{-i c}}\right)}{4 \sqrt{-i c}}+\frac{i \sqrt{\pi}\, {\mathrm e}^{-\frac{i \left(4 a c +1\right)}{4 c}} \erf \left(\sqrt{i c}\, x -\frac{1}{2 \sqrt{i c}}\right)}{4 \sqrt{i c}}"," ",0,"-1/4*I*Pi^(1/2)*exp(1/4*I*(4*a*c+1)/c)/(-I*c)^(1/2)*erf((-I*c)^(1/2)*x-1/2/(-I*c)^(1/2))+1/4*I*Pi^(1/2)*exp(-1/4*I*(4*a*c+1)/c)/(I*c)^(1/2)*erf((I*c)^(1/2)*x-1/2/(I*c)^(1/2))","A"
75,1,119,101,0.158000," ","int(exp(x)*sin(c*x^2+b*x+a),x)","\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{i \left(4 a c -b^{2}+2 i b +1\right)}{4 c}} \erf \left(-\sqrt{-i c}\, x +\frac{i b +1}{2 \sqrt{-i c}}\right)}{4 \sqrt{-i c}}+\frac{i \sqrt{\pi}\, {\mathrm e}^{-\frac{i \left(4 a c -b^{2}-2 i b +1\right)}{4 c}} \erf \left(\sqrt{i c}\, x -\frac{-i b +1}{2 \sqrt{i c}}\right)}{4 \sqrt{i c}}"," ",0,"1/4*I*Pi^(1/2)*exp(1/4*I*(-b^2+2*I*b+4*a*c+1)/c)/(-I*c)^(1/2)*erf(-(-I*c)^(1/2)*x+1/2*(1+I*b)/(-I*c)^(1/2))+1/4*I*Pi^(1/2)*exp(-1/4*I*(-b^2-2*I*b+4*a*c+1)/c)/(I*c)^(1/2)*erf((I*c)^(1/2)*x-1/2*(-I*b+1)/(I*c)^(1/2))","A"
76,1,52,51,0.000000," ","int(exp(x^2)*sin(b*x+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{i a} \erf \left(-i x +\frac{b}{2}\right)}{4}+\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{-i a} \erf \left(i x +\frac{b}{2}\right)}{4}"," ",0,"1/4*Pi^(1/2)*exp(1/4*b^2)*exp(I*a)*erf(-I*x+1/2*b)+1/4*Pi^(1/2)*exp(1/4*b^2)*exp(-I*a)*erf(I*x+1/2*b)","A"
77,1,62,63,0.092000," ","int(exp(x^2)*sin(c*x^2+a),x)","-\frac{i \sqrt{\pi}\, {\mathrm e}^{i a} \erf \left(\sqrt{-i c -1}\, x \right)}{4 \sqrt{-i c -1}}+\frac{i \sqrt{\pi}\, {\mathrm e}^{-i a} \erf \left(\sqrt{i c -1}\, x \right)}{4 \sqrt{i c -1}}"," ",0,"-1/4*I*Pi^(1/2)*exp(I*a)/(-I*c-1)^(1/2)*erf((-I*c-1)^(1/2)*x)+1/4*I*Pi^(1/2)*exp(-I*a)/(-1+I*c)^(1/2)*erf((-1+I*c)^(1/2)*x)","A"
78,1,129,119,0.193000," ","int(exp(x^2)*sin(c*x^2+b*x+a),x)","\frac{i \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -4 i a -b^{2}}{4 \left(i c +1\right)}} \erf \left(-\sqrt{-i c -1}\, x +\frac{i b}{2 \sqrt{-i c -1}}\right)}{4 \sqrt{-i c -1}}+\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +4 i a -b^{2}}{4 i c -4}} \erf \left(\sqrt{i c -1}\, x +\frac{i b}{2 \sqrt{i c -1}}\right)}{4 \sqrt{i c -1}}"," ",0,"1/4*I*Pi^(1/2)*exp(-1/4*(4*a*c-4*I*a-b^2)/(1+I*c))/(-I*c-1)^(1/2)*erf(-(-I*c-1)^(1/2)*x+1/2*I*b/(-I*c-1)^(1/2))+1/4*I*Pi^(1/2)*exp(1/4*(4*a*c+4*I*a-b^2)/(-1+I*c))/(-1+I*c)^(1/2)*erf((-1+I*c)^(1/2)*x+1/2*I*b/(-1+I*c)^(1/2))","A"
79,1,116,106,0.500000," ","int(f^(b*x+a)*sin(f*x^2+d),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f}}\right)}{4 \sqrt{-i f}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{i f}}\right)}{4 \sqrt{i f}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*ln(f)*b/(-I*f)^(1/2))-1/4*I*Pi^(1/2)*f^a*exp(-1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*ln(f)*b/(I*f)^(1/2))","A"
80,1,139,118,0.669000," ","int(f^(b*x+a)*sin(f*x^2+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+16 d f \right)}{8 f}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{i f}\, x +\frac{\ln \left(f \right) b \sqrt{2}}{4 \sqrt{i f}}\right)}{16 \sqrt{i f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+16 d f \right)}{8 f}} \erf \left(-\sqrt{-2 i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-2 i f}}\right)}{8 \sqrt{-2 i f}}+\frac{f^{b x +a}}{2 b \ln \left(f \right)}"," ",0,"1/16*Pi^(1/2)*f^a*exp(-1/8*I*(ln(f)^2*b^2+16*d*f)/f)*2^(1/2)/(I*f)^(1/2)*erf(-2^(1/2)*(I*f)^(1/2)*x+1/4*ln(f)*b*2^(1/2)/(I*f)^(1/2))+1/8*Pi^(1/2)*f^a*exp(1/8*I*(ln(f)^2*b^2+16*d*f)/f)/(-2*I*f)^(1/2)*erf(-(-2*I*f)^(1/2)*x+1/2*ln(f)*b/(-2*I*f)^(1/2))+1/2*f^(b*x+a)/b/ln(f)","A"
81,1,239,219,1.002000," ","int(f^(b*x+a)*sin(f*x^2+d)^3,x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \erf \left(-\sqrt{-3 i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-3 i f}}\right)}{16 \sqrt{-3 i f}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \sqrt{3}\, \erf \left(-\sqrt{3}\, \sqrt{i f}\, x +\frac{\ln \left(f \right) b \sqrt{3}}{6 \sqrt{i f}}\right)}{48 \sqrt{i f}}-\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{i f}}\right)}{16 \sqrt{i f}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f}}\right)}{16 \sqrt{-i f}}"," ",0,"-1/16*I*Pi^(1/2)*f^a*exp(1/12*I*(ln(f)^2*b^2+36*d*f)/f)/(-3*I*f)^(1/2)*erf(-(-3*I*f)^(1/2)*x+1/2*ln(f)*b/(-3*I*f)^(1/2))+1/48*I*Pi^(1/2)*f^a*exp(-1/12*I*(ln(f)^2*b^2+36*d*f)/f)*3^(1/2)/(I*f)^(1/2)*erf(-3^(1/2)*(I*f)^(1/2)*x+1/6*ln(f)*b*3^(1/2)/(I*f)^(1/2))-3/16*I*Pi^(1/2)*f^a*exp(-1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*ln(f)*b/(I*f)^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*ln(f)*b/(-I*f)^(1/2))","A"
82,1,152,119,0.434000," ","int(f^(b*x+a)*sin(f*x^2+e*x+d),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(-e^{2}+2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f}}\right)}{4 \sqrt{-i f}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(-e^{2}-2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f}}\right)}{4 \sqrt{i f}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(1/4*I*(-e^2+2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f)^(1/2))-1/4*I*Pi^(1/2)*f^a*exp(-1/4*I*(-e^2-2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*(-I*e+b*ln(f))/(I*f)^(1/2))","A"
83,1,175,133,0.694000," ","int(f^(b*x+a)*sin(f*x^2+e*x+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}-4 i \ln \left(f \right) b e -4 e^{2}+16 d f \right)}{8 f}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{i f}\, x +\frac{\left(b \ln \left(f \right)-2 i e \right) \sqrt{2}}{4 \sqrt{i f}}\right)}{16 \sqrt{i f}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 i \ln \left(f \right) b e -4 e^{2}+16 d f \right)}{8 f}} \erf \left(-\sqrt{-2 i f}\, x +\frac{2 i e +b \ln \left(f \right)}{2 \sqrt{-2 i f}}\right)}{8 \sqrt{-2 i f}}+\frac{f^{b x +a}}{2 b \ln \left(f \right)}"," ",0,"1/16*Pi^(1/2)*f^a*exp(-1/8*I*(ln(f)^2*b^2-4*I*ln(f)*b*e-4*e^2+16*d*f)/f)*2^(1/2)/(I*f)^(1/2)*erf(-2^(1/2)*(I*f)^(1/2)*x+1/4*(b*ln(f)-2*I*e)*2^(1/2)/(I*f)^(1/2))+1/8*Pi^(1/2)*f^a*exp(1/8*I*(ln(f)^2*b^2+4*I*ln(f)*b*e-4*e^2+16*d*f)/f)/(-2*I*f)^(1/2)*erf(-(-2*I*f)^(1/2)*x+1/2*(2*I*e+b*ln(f))/(-2*I*f)^(1/2))+1/2*f^(b*x+a)/b/ln(f)","A"
84,1,311,247,1.099000," ","int(f^(b*x+a)*sin(f*x^2+e*x+d)^3,x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(-9 e^{2}+6 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \erf \left(-\sqrt{-3 i f}\, x +\frac{3 i e +b \ln \left(f \right)}{2 \sqrt{-3 i f}}\right)}{16 \sqrt{-3 i f}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(-9 e^{2}-6 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \sqrt{3}\, \erf \left(-\sqrt{3}\, \sqrt{i f}\, x +\frac{\left(b \ln \left(f \right)-3 i e \right) \sqrt{3}}{6 \sqrt{i f}}\right)}{48 \sqrt{i f}}-\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(-e^{2}-2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f}}\right)}{16 \sqrt{i f}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(-e^{2}+2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f}}\right)}{16 \sqrt{-i f}}"," ",0,"-1/16*I*Pi^(1/2)*f^a*exp(1/12*I*(-9*e^2+6*I*ln(f)*b*e+ln(f)^2*b^2+36*d*f)/f)/(-3*I*f)^(1/2)*erf(-(-3*I*f)^(1/2)*x+1/2*(3*I*e+b*ln(f))/(-3*I*f)^(1/2))+1/48*I*Pi^(1/2)*f^a*exp(-1/12*I*(-9*e^2-6*I*ln(f)*b*e+ln(f)^2*b^2+36*d*f)/f)*3^(1/2)/(I*f)^(1/2)*erf(-3^(1/2)*(I*f)^(1/2)*x+1/6*(b*ln(f)-3*I*e)*3^(1/2)/(I*f)^(1/2))-3/16*I*Pi^(1/2)*f^a*exp(-1/4*I*(-e^2-2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*(-I*e+b*ln(f))/(I*f)^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(1/4*I*(-e^2+2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f)^(1/2))","A"
85,1,123,111,0.421000," ","int(f^(c*x^2+a)*sin(e*x+d),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 i d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 i d \ln \left(f \right) c -e^{2}}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(1/4*(4*I*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))+1/4*I*Pi^(1/2)*f^a*exp(-1/4*(4*I*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))","A"
86,1,145,128,0.415000," ","int(f^(c*x^2+a)*sin(e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{2 i d \ln \left(f \right) c -e^{2}}{\ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{\sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{2 i d \ln \left(f \right) c +e^{2}}{\ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{\sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}+\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-(2*I*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+I*e/(-c*ln(f))^(1/2))+1/8*Pi^(1/2)*f^a*exp((2*I*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+I*e/(-c*ln(f))^(1/2))+1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
87,1,246,221,0.842000," ","int(f^(c*x^2+a)*sin(e*x+d)^3,x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{3 i d \ln \left(f \right) c +\frac{9 e^{2}}{4}}{c \ln \left(f \right)}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{3 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{3 \left(4 i d \ln \left(f \right) c -3 e^{2}\right)}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{3 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 i d \ln \left(f \right) c -e^{2}}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 i d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/16*I*Pi^(1/2)*f^a*exp(3/4*(4*I*d*ln(f)*c+3*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+3/2*I*e/(-c*ln(f))^(1/2))-1/16*I*Pi^(1/2)*f^a*exp(-3/4*(4*I*d*ln(f)*c-3*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+3/2*I*e/(-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(-1/4*(4*I*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(1/4*(4*I*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))","A"
88,1,84,83,0.319000," ","int(f^(c*x^2+a)*sin(f*x^2+d),x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{i d} \erf \left(\sqrt{-i f -c \ln \left(f \right)}\, x \right)}{4 \sqrt{-i f -c \ln \left(f \right)}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-i d} \erf \left(x \sqrt{i f -c \ln \left(f \right)}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}"," ",0,"-1/4*I*Pi^(1/2)*f^a*exp(I*d)/(-I*f-c*ln(f))^(1/2)*erf((-I*f-c*ln(f))^(1/2)*x)+1/4*I*Pi^(1/2)*f^a*exp(-I*d)/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2))","A"
89,1,107,106,0.405000," ","int(f^(c*x^2+a)*sin(f*x^2+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-2 i d} \erf \left(x \sqrt{2 i f -c \ln \left(f \right)}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{2 i d} \erf \left(\sqrt{-2 i f -c \ln \left(f \right)}\, x \right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}+\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-2*I*d)/(2*I*f-c*ln(f))^(1/2)*erf(x*(2*I*f-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp(2*I*d)/(-2*I*f-c*ln(f))^(1/2)*erf((-2*I*f-c*ln(f))^(1/2)*x)+1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
90,1,166,165,0.764000," ","int(f^(c*x^2+a)*sin(f*x^2+d)^3,x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{3 i d} \erf \left(\sqrt{-c \ln \left(f \right)-3 i f}\, x \right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-3 i d} \erf \left(x \sqrt{3 i f -c \ln \left(f \right)}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-i d} \erf \left(x \sqrt{i f -c \ln \left(f \right)}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}-\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{i d} \erf \left(\sqrt{-i f -c \ln \left(f \right)}\, x \right)}{16 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"1/16*I*Pi^(1/2)*f^a*exp(3*I*d)/(-c*ln(f)-3*I*f)^(1/2)*erf((-c*ln(f)-3*I*f)^(1/2)*x)-1/16*I*Pi^(1/2)*f^a*exp(-3*I*d)/(3*I*f-c*ln(f))^(1/2)*erf(x*(3*I*f-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(-I*d)/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2))-3/16*I*Pi^(1/2)*f^a*exp(I*d)/(-I*f-c*ln(f))^(1/2)*erf((-I*f-c*ln(f))^(1/2)*x)","A"
91,1,169,151,0.718000," ","int(f^(c*x^2+a)*sin(f*x^2+e*x+d),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{-4 d f +4 i d \ln \left(f \right) c +e^{2}}{4 i f +4 c \ln \left(f \right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{4 \sqrt{-i f -c \ln \left(f \right)}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c -e^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{i f -c \ln \left(f \right)}+\frac{i e}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(1/4*(-4*d*f+4*I*d*ln(f)*c+e^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*I*e/(-I*f-c*ln(f))^(1/2))+1/4*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c-e^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2)+1/2*I*e/(I*f-c*ln(f))^(1/2))","A"
92,1,191,169,0.647000," ","int(f^(c*x^2+a)*sin(f*x^2+e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{2 i d \ln \left(f \right) c +4 d f -e^{2}}{-2 i f +c \ln \left(f \right)}} \erf \left(x \sqrt{2 i f -c \ln \left(f \right)}+\frac{i e}{\sqrt{2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{2 i d \ln \left(f \right) c -4 d f +e^{2}}{2 i f +c \ln \left(f \right)}} \erf \left(-\sqrt{-2 i f -c \ln \left(f \right)}\, x +\frac{i e}{\sqrt{-2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}+\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-(2*I*d*ln(f)*c+4*d*f-e^2)/(-2*I*f+c*ln(f)))/(2*I*f-c*ln(f))^(1/2)*erf(x*(2*I*f-c*ln(f))^(1/2)+I*e/(2*I*f-c*ln(f))^(1/2))+1/8*Pi^(1/2)*f^a*exp((2*I*d*ln(f)*c-4*d*f+e^2)/(2*I*f+c*ln(f)))/(-2*I*f-c*ln(f))^(1/2)*erf(-(-2*I*f-c*ln(f))^(1/2)*x+I*e/(-2*I*f-c*ln(f))^(1/2))+1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
93,1,338,301,1.168000," ","int(f^(c*x^2+a)*sin(f*x^2+e*x+d)^3,x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{3 i d \ln \left(f \right) c -9 d f +\frac{9 e^{2}}{4}}{3 i f +c \ln \left(f \right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 i f}\, x +\frac{3 i e}{2 \sqrt{-c \ln \left(f \right)-3 i f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{3 \left(4 i d \ln \left(f \right) c +12 d f -3 e^{2}\right)}{4 \left(-3 i f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{3 i f -c \ln \left(f \right)}+\frac{3 i e}{2 \sqrt{3 i f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c -e^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{i f -c \ln \left(f \right)}+\frac{i e}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{-4 d f +4 i d \ln \left(f \right) c +e^{2}}{4 i f +4 c \ln \left(f \right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{16 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"-1/16*I*Pi^(1/2)*f^a*exp(3/4*(4*I*d*ln(f)*c-12*d*f+3*e^2)/(3*I*f+c*ln(f)))/(-c*ln(f)-3*I*f)^(1/2)*erf(-(-c*ln(f)-3*I*f)^(1/2)*x+3/2*I*e/(-c*ln(f)-3*I*f)^(1/2))-1/16*I*Pi^(1/2)*f^a*exp(-3/4*(4*I*d*ln(f)*c+12*d*f-3*e^2)/(-3*I*f+c*ln(f)))/(3*I*f-c*ln(f))^(1/2)*erf(x*(3*I*f-c*ln(f))^(1/2)+3/2*I*e/(3*I*f-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c-e^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2)+1/2*I*e/(I*f-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(1/4*(-4*d*f+4*I*d*ln(f)*c+e^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*I*e/(-I*f-c*ln(f))^(1/2))","A"
94,1,170,133,0.521000," ","int(f^(c*x^2+b*x+a)*sin(e*x+d),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(-1/4*(-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-c*ln(f))^(1/2))-1/4*I*Pi^(1/2)*f^a*exp(-1/4*(-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(-I*e+b*ln(f))/(-c*ln(f))^(1/2))","A"
95,1,217,174,0.589000," ","int(f^(c*x^2+b*x+a)*sin(e*x+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 i \ln \left(f \right) b e +8 i d \ln \left(f \right) c -4 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-2 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 i \ln \left(f \right) b e -8 i d \ln \left(f \right) c -4 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{2 i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*I*ln(f)*b*e+8*I*d*ln(f)*c-4*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-2*I*e)/(-c*ln(f))^(1/2))+1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*I*ln(f)*b*e-8*I*d*ln(f)*c-4*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(2*I*e+b*ln(f))/(-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2/(-c*ln(f))^(1/2)*b*ln(f))","A"
96,1,338,268,0.929000," ","int(f^(c*x^2+b*x+a)*sin(e*x+d)^3,x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+6 i \ln \left(f \right) b e -12 i d \ln \left(f \right) c -9 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{3 i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-6 i \ln \left(f \right) b e +12 i d \ln \left(f \right) c -9 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-3 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/16*I*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+6*I*ln(f)*b*e-12*I*d*ln(f)*c-9*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(3*I*e+b*ln(f))/(-c*ln(f))^(1/2))+1/16*I*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-6*I*ln(f)*b*e+12*I*d*ln(f)*c-9*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-3*I*e)/(-c*ln(f))^(1/2))-3/16*I*Pi^(1/2)*f^a*exp(-1/4*(-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(-I*e+b*ln(f))/(-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(-1/4*(-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-c*ln(f))^(1/2))","A"
97,1,180,159,0.632000," ","int(f^(c*x^2+b*x+a)*sin(f*x^2+d),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{4 \sqrt{-i f -c \ln \left(f \right)}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*ln(f)*b/(-I*f-c*ln(f))^(1/2))-1/4*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(I*f-c*ln(f))^(1/2))","A"
98,1,227,197,0.652000," ","int(f^(c*x^2+b*x+a)*sin(f*x^2+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+8 i d \ln \left(f \right) c +16 d f}{4 \left(-2 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{2 i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-8 i d \ln \left(f \right) c +16 d f}{4 \left(2 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-2 i f -c \ln \left(f \right)}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+8*I*d*ln(f)*c+16*d*f)/(-2*I*f+c*ln(f)))/(2*I*f-c*ln(f))^(1/2)*erf(-x*(2*I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(2*I*f-c*ln(f))^(1/2))+1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-8*I*d*ln(f)*c+16*d*f)/(2*I*f+c*ln(f)))/(-2*I*f-c*ln(f))^(1/2)*erf(-(-2*I*f-c*ln(f))^(1/2)*x+1/2*ln(f)*b/(-2*I*f-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2/(-c*ln(f))^(1/2)*b*ln(f))","A"
99,1,358,316,1.172000," ","int(f^(c*x^2+b*x+a)*sin(f*x^2+d)^3,x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-12 i d \ln \left(f \right) c +36 d f}{4 \left(3 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-c \ln \left(f \right)-3 i f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+12 i d \ln \left(f \right) c +36 d f}{4 \left(-3 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{3 i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{3 i f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}-\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{16 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"-1/16*I*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-12*I*d*ln(f)*c+36*d*f)/(3*I*f+c*ln(f)))/(-c*ln(f)-3*I*f)^(1/2)*erf(-(-c*ln(f)-3*I*f)^(1/2)*x+1/2*ln(f)*b/(-c*ln(f)-3*I*f)^(1/2))+1/16*I*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+12*I*d*ln(f)*c+36*d*f)/(-3*I*f+c*ln(f)))/(3*I*f-c*ln(f))^(1/2)*erf(-x*(3*I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(3*I*f-c*ln(f))^(1/2))-3/16*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(I*f-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*ln(f)*b/(-I*f-c*ln(f))^(1/2))","A"
100,1,216,174,0.621000," ","int(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{4 \sqrt{-i f -c \ln \left(f \right)}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f-c*ln(f))^(1/2))-1/4*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*(-I*e+b*ln(f))/(I*f-c*ln(f))^(1/2))","A"
101,1,263,216,0.695000," ","int(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 i \ln \left(f \right) b e +8 i d \ln \left(f \right) c +16 d f -4 e^{2}}{4 \left(-2 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{2 i f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-2 i e}{2 \sqrt{2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 i \ln \left(f \right) b e -8 i d \ln \left(f \right) c +16 d f -4 e^{2}}{4 \left(2 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-2 i f -c \ln \left(f \right)}\, x +\frac{2 i e +b \ln \left(f \right)}{2 \sqrt{-2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*I*ln(f)*b*e+8*I*d*ln(f)*c+16*d*f-4*e^2)/(-2*I*f+c*ln(f)))/(2*I*f-c*ln(f))^(1/2)*erf(-x*(2*I*f-c*ln(f))^(1/2)+1/2*(b*ln(f)-2*I*e)/(2*I*f-c*ln(f))^(1/2))+1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*I*ln(f)*b*e-8*I*d*ln(f)*c+16*d*f-4*e^2)/(2*I*f+c*ln(f)))/(-2*I*f-c*ln(f))^(1/2)*erf(-(-2*I*f-c*ln(f))^(1/2)*x+1/2*(2*I*e+b*ln(f))/(-2*I*f-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2/(-c*ln(f))^(1/2)*b*ln(f))","A"
102,1,430,350,1.251000," ","int(f^(c*x^2+b*x+a)*sin(f*x^2+e*x+d)^3,x)","-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+6 i \ln \left(f \right) b e -12 i d \ln \left(f \right) c +36 d f -9 e^{2}}{4 \left(3 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 i f}\, x +\frac{3 i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)-3 i f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}+\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-6 i \ln \left(f \right) b e +12 i d \ln \left(f \right) c +36 d f -9 e^{2}}{4 \left(-3 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{3 i f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-3 i e}{2 \sqrt{3 i f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}-\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}+\frac{3 i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{16 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"-1/16*I*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+6*I*ln(f)*b*e-12*I*d*ln(f)*c+36*d*f-9*e^2)/(3*I*f+c*ln(f)))/(-c*ln(f)-3*I*f)^(1/2)*erf(-(-c*ln(f)-3*I*f)^(1/2)*x+1/2*(3*I*e+b*ln(f))/(-c*ln(f)-3*I*f)^(1/2))+1/16*I*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-6*I*ln(f)*b*e+12*I*d*ln(f)*c+36*d*f-9*e^2)/(-3*I*f+c*ln(f)))/(3*I*f-c*ln(f))^(1/2)*erf(-x*(3*I*f-c*ln(f))^(1/2)+1/2*(b*ln(f)-3*I*e)/(3*I*f-c*ln(f))^(1/2))-3/16*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*(-I*e+b*ln(f))/(I*f-c*ln(f))^(1/2))+3/16*I*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f-c*ln(f))^(1/2))","A"
103,1,217,177,1.038000," ","int(f^(c*x^2+b*x+a)*sin(e*x^2+b*x+a),x)","\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{-4 a e +b^{2}+4 i \ln \left(f \right) a c -2 i \ln \left(f \right) b^{2}-\ln \left(f \right)^{2} b^{2}}{4 i e +4 c \ln \left(f \right)}} \erf \left(-\sqrt{-i e -c \ln \left(f \right)}\, x +\frac{i b +b \ln \left(f \right)}{2 \sqrt{-i e -c \ln \left(f \right)}}\right)}{4 \sqrt{-i e -c \ln \left(f \right)}}-\frac{i \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 a e -b^{2}+4 i \ln \left(f \right) a c -2 i \ln \left(f \right) b^{2}+\ln \left(f \right)^{2} b^{2}}{4 \left(-i e +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{i e -c \ln \left(f \right)}\, x +\frac{-i b +b \ln \left(f \right)}{2 \sqrt{i e -c \ln \left(f \right)}}\right)}{4 \sqrt{i e -c \ln \left(f \right)}}"," ",0,"1/4*I*Pi^(1/2)*f^a*exp(1/4*(-4*a*e+b^2+4*I*ln(f)*a*c-2*I*ln(f)*b^2-ln(f)^2*b^2)/(I*e+c*ln(f)))/(-I*e-c*ln(f))^(1/2)*erf(-(-I*e-c*ln(f))^(1/2)*x+1/2*(I*b+b*ln(f))/(-I*e-c*ln(f))^(1/2))-1/4*I*Pi^(1/2)*f^a*exp(-1/4*(4*a*e-b^2+4*I*ln(f)*a*c-2*I*ln(f)*b^2+ln(f)^2*b^2)/(-I*e+c*ln(f)))/(I*e-c*ln(f))^(1/2)*erf(-(I*e-c*ln(f))^(1/2)*x+1/2*(-I*b+b*ln(f))/(I*e-c*ln(f))^(1/2))","A"
104,1,35,34,0.030000," ","int(exp(x)*cos(b*x+a),x)","\frac{{\mathrm e}^{x} \cos \left(b x +a \right)}{b^{2}+1}+\frac{b \,{\mathrm e}^{x} \sin \left(b x +a \right)}{b^{2}+1}"," ",0,"exp(x)*cos(b*x+a)/(b^2+1)+b*exp(x)*sin(b*x+a)/(b^2+1)","A"
105,1,86,79,0.127000," ","int(exp(x)*cos(c*x^2+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{i \left(4 a c +1\right)}{4 c}} \erf \left(\sqrt{i c}\, x -\frac{1}{2 \sqrt{i c}}\right)}{4 \sqrt{i c}}+\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{i \left(4 a c +1\right)}{4 c}} \erf \left(\sqrt{-i c}\, x -\frac{1}{2 \sqrt{-i c}}\right)}{4 \sqrt{-i c}}"," ",0,"1/4*Pi^(1/2)*exp(-1/4*I*(4*a*c+1)/c)/(I*c)^(1/2)*erf((I*c)^(1/2)*x-1/2/(I*c)^(1/2))+1/4*Pi^(1/2)*exp(1/4*I*(4*a*c+1)/c)/(-I*c)^(1/2)*erf((-I*c)^(1/2)*x-1/2/(-I*c)^(1/2))","A"
106,1,117,101,0.128000," ","int(exp(x)*cos(c*x^2+b*x+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{i \left(4 a c -b^{2}-2 i b +1\right)}{4 c}} \erf \left(\sqrt{i c}\, x -\frac{-i b +1}{2 \sqrt{i c}}\right)}{4 \sqrt{i c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{i \left(4 a c -b^{2}+2 i b +1\right)}{4 c}} \erf \left(-\sqrt{-i c}\, x +\frac{i b +1}{2 \sqrt{-i c}}\right)}{4 \sqrt{-i c}}"," ",0,"1/4*Pi^(1/2)*exp(-1/4*I*(-b^2-2*I*b+4*a*c+1)/c)/(I*c)^(1/2)*erf((I*c)^(1/2)*x-1/2*(-I*b+1)/(I*c)^(1/2))-1/4*Pi^(1/2)*exp(1/4*I*(-b^2+2*I*b+4*a*c+1)/c)/(-I*c)^(1/2)*erf(-(-I*c)^(1/2)*x+1/2*(1+I*b)/(-I*c)^(1/2))","A"
107,1,54,49,0.043000," ","int(exp(x^2)*cos(b*x+a),x)","-\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{-i a} \erf \left(i x +\frac{b}{2}\right)}{4}+\frac{i \sqrt{\pi}\, {\mathrm e}^{\frac{b^{2}}{4}} {\mathrm e}^{i a} \erf \left(-i x +\frac{b}{2}\right)}{4}"," ",0,"-1/4*I*Pi^(1/2)*exp(1/4*b^2)*exp(-I*a)*erf(I*x+1/2*b)+1/4*I*Pi^(1/2)*exp(1/4*b^2)*exp(I*a)*erf(-I*x+1/2*b)","A"
108,1,60,61,0.096000," ","int(exp(x^2)*cos(c*x^2+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{-i a} \erf \left(\sqrt{i c -1}\, x \right)}{4 \sqrt{i c -1}}+\frac{\sqrt{\pi}\, {\mathrm e}^{i a} \erf \left(\sqrt{-i c -1}\, x \right)}{4 \sqrt{-i c -1}}"," ",0,"1/4*Pi^(1/2)*exp(-I*a)/(-1+I*c)^(1/2)*erf((-1+I*c)^(1/2)*x)+1/4*Pi^(1/2)*exp(I*a)/(-I*c-1)^(1/2)*erf((-I*c-1)^(1/2)*x)","A"
109,1,127,117,0.125000," ","int(exp(x^2)*cos(c*x^2+b*x+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +4 i a -b^{2}}{4 i c -4}} \erf \left(\sqrt{i c -1}\, x +\frac{i b}{2 \sqrt{i c -1}}\right)}{4 \sqrt{i c -1}}-\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -4 i a -b^{2}}{4 \left(i c +1\right)}} \erf \left(-\sqrt{-i c -1}\, x +\frac{i b}{2 \sqrt{-i c -1}}\right)}{4 \sqrt{-i c -1}}"," ",0,"1/4*Pi^(1/2)*exp(1/4*(4*a*c+4*I*a-b^2)/(-1+I*c))/(-1+I*c)^(1/2)*erf((-1+I*c)^(1/2)*x+1/2*I*b/(-1+I*c)^(1/2))-1/4*Pi^(1/2)*exp(-1/4*(4*a*c-4*I*a-b^2)/(1+I*c))/(-I*c-1)^(1/2)*erf(-(-I*c-1)^(1/2)*x+1/2*I*b/(-I*c-1)^(1/2))","A"
110,1,114,106,0.166000," ","int(f^(b*x+a)*cos(f*x^2+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{i f}}\right)}{4 \sqrt{i f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f}}\right)}{4 \sqrt{-i f}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*ln(f)*b/(I*f)^(1/2))-1/4*Pi^(1/2)*f^a*exp(1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*ln(f)*b/(-I*f)^(1/2))","A"
111,1,139,118,0.328000," ","int(f^(b*x+a)*cos(f*x^2+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+16 d f \right)}{8 f}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{i f}\, x +\frac{\ln \left(f \right) b \sqrt{2}}{4 \sqrt{i f}}\right)}{16 \sqrt{i f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+16 d f \right)}{8 f}} \erf \left(-\sqrt{-2 i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-2 i f}}\right)}{8 \sqrt{-2 i f}}+\frac{f^{b x +a}}{2 b \ln \left(f \right)}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/8*I*(ln(f)^2*b^2+16*d*f)/f)*2^(1/2)/(I*f)^(1/2)*erf(-2^(1/2)*(I*f)^(1/2)*x+1/4*ln(f)*b*2^(1/2)/(I*f)^(1/2))-1/8*Pi^(1/2)*f^a*exp(1/8*I*(ln(f)^2*b^2+16*d*f)/f)/(-2*I*f)^(1/2)*erf(-(-2*I*f)^(1/2)*x+1/2*ln(f)*b/(-2*I*f)^(1/2))+1/2*f^(b*x+a)/b/ln(f)","A"
112,1,235,219,0.630000," ","int(f^(b*x+a)*cos(f*x^2+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \sqrt{3}\, \erf \left(-\sqrt{3}\, \sqrt{i f}\, x +\frac{\ln \left(f \right) b \sqrt{3}}{6 \sqrt{i f}}\right)}{48 \sqrt{i f}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{i f}}\right)}{16 \sqrt{i f}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f}}\right)}{16 \sqrt{-i f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \erf \left(-\sqrt{-3 i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-3 i f}}\right)}{16 \sqrt{-3 i f}}"," ",0,"-1/48*Pi^(1/2)*f^a*exp(-1/12*I*(ln(f)^2*b^2+36*d*f)/f)*3^(1/2)/(I*f)^(1/2)*erf(-3^(1/2)*(I*f)^(1/2)*x+1/6*ln(f)*b*3^(1/2)/(I*f)^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*ln(f)*b/(I*f)^(1/2))-3/16*Pi^(1/2)*f^a*exp(1/4*I*(ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*ln(f)*b/(-I*f)^(1/2))-1/16*Pi^(1/2)*f^a*exp(1/12*I*(ln(f)^2*b^2+36*d*f)/f)/(-3*I*f)^(1/2)*erf(-(-3*I*f)^(1/2)*x+1/2*ln(f)*b/(-3*I*f)^(1/2))","A"
113,1,150,119,0.177000," ","int(f^(b*x+a)*cos(f*x^2+e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(-e^{2}-2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f}}\right)}{4 \sqrt{i f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(-e^{2}+2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f}}\right)}{4 \sqrt{-i f}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*I*(-e^2-2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*(-I*e+b*ln(f))/(I*f)^(1/2))-1/4*Pi^(1/2)*f^a*exp(1/4*I*(-e^2+2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f)^(1/2))","A"
114,1,175,133,0.338000," ","int(f^(b*x+a)*cos(f*x^2+e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(\ln \left(f \right)^{2} b^{2}-4 i \ln \left(f \right) b e -4 e^{2}+16 d f \right)}{8 f}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{i f}\, x +\frac{\left(b \ln \left(f \right)-2 i e \right) \sqrt{2}}{4 \sqrt{i f}}\right)}{16 \sqrt{i f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(\ln \left(f \right)^{2} b^{2}+4 i \ln \left(f \right) b e -4 e^{2}+16 d f \right)}{8 f}} \erf \left(-\sqrt{-2 i f}\, x +\frac{2 i e +b \ln \left(f \right)}{2 \sqrt{-2 i f}}\right)}{8 \sqrt{-2 i f}}+\frac{f^{b x +a}}{2 b \ln \left(f \right)}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/8*I*(ln(f)^2*b^2-4*I*ln(f)*b*e-4*e^2+16*d*f)/f)*2^(1/2)/(I*f)^(1/2)*erf(-2^(1/2)*(I*f)^(1/2)*x+1/4*(b*ln(f)-2*I*e)*2^(1/2)/(I*f)^(1/2))-1/8*Pi^(1/2)*f^a*exp(1/8*I*(ln(f)^2*b^2+4*I*ln(f)*b*e-4*e^2+16*d*f)/f)/(-2*I*f)^(1/2)*erf(-(-2*I*f)^(1/2)*x+1/2*(2*I*e+b*ln(f))/(-2*I*f)^(1/2))+1/2*f^(b*x+a)/b/ln(f)","A"
115,1,307,247,0.730000," ","int(f^(b*x+a)*cos(f*x^2+e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(-9 e^{2}-6 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \sqrt{3}\, \erf \left(-\sqrt{3}\, \sqrt{i f}\, x +\frac{\left(b \ln \left(f \right)-3 i e \right) \sqrt{3}}{6 \sqrt{i f}}\right)}{48 \sqrt{i f}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{i \left(-e^{2}-2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{i f}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f}}\right)}{16 \sqrt{i f}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(-e^{2}+2 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+4 d f \right)}{4 f}} \erf \left(-\sqrt{-i f}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f}}\right)}{16 \sqrt{-i f}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{i \left(-9 e^{2}+6 i \ln \left(f \right) b e +\ln \left(f \right)^{2} b^{2}+36 d f \right)}{12 f}} \erf \left(-\sqrt{-3 i f}\, x +\frac{3 i e +b \ln \left(f \right)}{2 \sqrt{-3 i f}}\right)}{16 \sqrt{-3 i f}}"," ",0,"-1/48*Pi^(1/2)*f^a*exp(-1/12*I*(-9*e^2-6*I*ln(f)*b*e+ln(f)^2*b^2+36*d*f)/f)*3^(1/2)/(I*f)^(1/2)*erf(-3^(1/2)*(I*f)^(1/2)*x+1/6*(b*ln(f)-3*I*e)*3^(1/2)/(I*f)^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*I*(-e^2-2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(I*f)^(1/2)*erf(-(I*f)^(1/2)*x+1/2*(-I*e+b*ln(f))/(I*f)^(1/2))-3/16*Pi^(1/2)*f^a*exp(1/4*I*(-e^2+2*I*ln(f)*b*e+ln(f)^2*b^2+4*d*f)/f)/(-I*f)^(1/2)*erf(-(-I*f)^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f)^(1/2))-1/16*Pi^(1/2)*f^a*exp(1/12*I*(-9*e^2+6*I*ln(f)*b*e+ln(f)^2*b^2+36*d*f)/f)/(-3*I*f)^(1/2)*erf(-(-3*I*f)^(1/2)*x+1/2*(3*I*e+b*ln(f))/(-3*I*f)^(1/2))","A"
116,1,121,109,0.167000," ","int(f^(c*x^2+a)*cos(e*x+d),x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 i d \ln \left(f \right) c -e^{2}}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 i d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/4*Pi^(1/2)*f^a*exp(-1/4*(4*I*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*exp(1/4*(4*I*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))","A"
117,1,145,128,0.239000," ","int(f^(c*x^2+a)*cos(e*x+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{2 i d \ln \left(f \right) c -e^{2}}{\ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{\sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{2 i d \ln \left(f \right) c +e^{2}}{\ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{\sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}+\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-(2*I*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+I*e/(-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp((2*I*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+I*e/(-c*ln(f))^(1/2))+1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
118,1,242,217,0.575000," ","int(f^(c*x^2+a)*cos(e*x+d)^3,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{3 \left(4 i d \ln \left(f \right) c -3 e^{2}\right)}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{3 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 i d \ln \left(f \right) c -e^{2}}{4 \ln \left(f \right) c}} \erf \left(\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{4 i d \ln \left(f \right) c +e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{3 i d \ln \left(f \right) c +\frac{9 e^{2}}{4}}{c \ln \left(f \right)}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{3 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/16*Pi^(1/2)*f^a*exp(-3/4*(4*I*d*ln(f)*c-3*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+3/2*I*e/(-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(4*I*d*ln(f)*c-e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(1/4*(4*I*d*ln(f)*c+e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*I*e/(-c*ln(f))^(1/2))-1/16*Pi^(1/2)*f^a*exp(3/4*(4*I*d*ln(f)*c+3*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+3/2*I*e/(-c*ln(f))^(1/2))","A"
119,1,82,81,0.153000," ","int(f^(c*x^2+a)*cos(f*x^2+d),x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-i d} \erf \left(x \sqrt{i f -c \ln \left(f \right)}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{i d} \erf \left(\sqrt{-i f -c \ln \left(f \right)}\, x \right)}{4 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"1/4*Pi^(1/2)*f^a*exp(-I*d)/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2))+1/4*Pi^(1/2)*f^a*exp(I*d)/(-I*f-c*ln(f))^(1/2)*erf((-I*f-c*ln(f))^(1/2)*x)","A"
120,1,107,106,0.251000," ","int(f^(c*x^2+a)*cos(f*x^2+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-2 i d} \erf \left(x \sqrt{2 i f -c \ln \left(f \right)}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{2 i d} \erf \left(\sqrt{-2 i f -c \ln \left(f \right)}\, x \right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}+\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-2*I*d)/(2*I*f-c*ln(f))^(1/2)*erf(x*(2*I*f-c*ln(f))^(1/2))+1/8*Pi^(1/2)*f^a*exp(2*I*d)/(-2*I*f-c*ln(f))^(1/2)*erf((-2*I*f-c*ln(f))^(1/2)*x)+1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
121,1,162,161,0.552000," ","int(f^(c*x^2+a)*cos(f*x^2+d)^3,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-3 i d} \erf \left(x \sqrt{3 i f -c \ln \left(f \right)}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-i d} \erf \left(x \sqrt{i f -c \ln \left(f \right)}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{i d} \erf \left(\sqrt{-i f -c \ln \left(f \right)}\, x \right)}{16 \sqrt{-i f -c \ln \left(f \right)}}+\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{3 i d} \erf \left(\sqrt{-c \ln \left(f \right)-3 i f}\, x \right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}"," ",0,"1/16*Pi^(1/2)*f^a*exp(-3*I*d)/(3*I*f-c*ln(f))^(1/2)*erf(x*(3*I*f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-I*d)/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(I*d)/(-I*f-c*ln(f))^(1/2)*erf((-I*f-c*ln(f))^(1/2)*x)+1/16*Pi^(1/2)*f^a*exp(3*I*d)/(-c*ln(f)-3*I*f)^(1/2)*erf((-c*ln(f)-3*I*f)^(1/2)*x)","A"
122,1,167,149,0.172000," ","int(f^(c*x^2+a)*cos(f*x^2+e*x+d),x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c -e^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{i f -c \ln \left(f \right)}+\frac{i e}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{-4 d f +4 i d \ln \left(f \right) c +e^{2}}{4 i f +4 c \ln \left(f \right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{4 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"1/4*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c-e^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2)+1/2*I*e/(I*f-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*exp(1/4*(-4*d*f+4*I*d*ln(f)*c+e^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*I*e/(-I*f-c*ln(f))^(1/2))","A"
123,1,191,169,0.314000," ","int(f^(c*x^2+a)*cos(f*x^2+e*x+d)^2,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{2 i d \ln \left(f \right) c +4 d f -e^{2}}{-2 i f +c \ln \left(f \right)}} \erf \left(x \sqrt{2 i f -c \ln \left(f \right)}+\frac{i e}{\sqrt{2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{2 i d \ln \left(f \right) c -4 d f +e^{2}}{2 i f +c \ln \left(f \right)}} \erf \left(-\sqrt{-2 i f -c \ln \left(f \right)}\, x +\frac{i e}{\sqrt{-2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}+\frac{f^{a} \sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"1/8*Pi^(1/2)*f^a*exp(-(2*I*d*ln(f)*c+4*d*f-e^2)/(-2*I*f+c*ln(f)))/(2*I*f-c*ln(f))^(1/2)*erf(x*(2*I*f-c*ln(f))^(1/2)+I*e/(2*I*f-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp((2*I*d*ln(f)*c-4*d*f+e^2)/(2*I*f+c*ln(f)))/(-2*I*f-c*ln(f))^(1/2)*erf(-(-2*I*f-c*ln(f))^(1/2)*x+I*e/(-2*I*f-c*ln(f))^(1/2))+1/4*f^a*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)*x)","A"
124,1,334,297,0.702000," ","int(f^(c*x^2+a)*cos(f*x^2+e*x+d)^3,x)","\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{3 \left(4 i d \ln \left(f \right) c +12 d f -3 e^{2}\right)}{4 \left(-3 i f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{3 i f -c \ln \left(f \right)}+\frac{3 i e}{2 \sqrt{3 i f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}+\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c -e^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(x \sqrt{i f -c \ln \left(f \right)}+\frac{i e}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{-4 d f +4 i d \ln \left(f \right) c +e^{2}}{4 i f +4 c \ln \left(f \right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{16 \sqrt{-i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{3 i d \ln \left(f \right) c -9 d f +\frac{9 e^{2}}{4}}{3 i f +c \ln \left(f \right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 i f}\, x +\frac{3 i e}{2 \sqrt{-c \ln \left(f \right)-3 i f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}"," ",0,"1/16*Pi^(1/2)*f^a*exp(-3/4*(4*I*d*ln(f)*c+12*d*f-3*e^2)/(-3*I*f+c*ln(f)))/(3*I*f-c*ln(f))^(1/2)*erf(x*(3*I*f-c*ln(f))^(1/2)+3/2*I*e/(3*I*f-c*ln(f))^(1/2))+3/16*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c-e^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(x*(I*f-c*ln(f))^(1/2)+1/2*I*e/(I*f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(1/4*(-4*d*f+4*I*d*ln(f)*c+e^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*I*e/(-I*f-c*ln(f))^(1/2))-1/16*Pi^(1/2)*f^a*exp(3/4*(4*I*d*ln(f)*c-12*d*f+3*e^2)/(3*I*f+c*ln(f)))/(-c*ln(f)-3*I*f)^(1/2)*erf(-(-c*ln(f)-3*I*f)^(1/2)*x+3/2*I*e/(-c*ln(f)-3*I*f)^(1/2))","A"
125,1,168,131,0.174000," ","int(f^(c*x^2+b*x+a)*cos(e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(-I*e+b*ln(f))/(-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*exp(-1/4*(-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-c*ln(f))^(1/2))","A"
126,1,217,174,0.256000," ","int(f^(c*x^2+b*x+a)*cos(e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 i \ln \left(f \right) b e +8 i d \ln \left(f \right) c -4 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-2 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 i \ln \left(f \right) b e -8 i d \ln \left(f \right) c -4 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{2 i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{8 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*I*ln(f)*b*e+8*I*d*ln(f)*c-4*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-2*I*e)/(-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*I*ln(f)*b*e-8*I*d*ln(f)*c-4*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(2*I*e+b*ln(f))/(-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2/(-c*ln(f))^(1/2)*b*ln(f))","A"
127,1,334,264,0.645000," ","int(f^(c*x^2+b*x+a)*cos(e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-6 i \ln \left(f \right) b e +12 i d \ln \left(f \right) c -9 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)-3 i e}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{-i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{-e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+6 i \ln \left(f \right) b e -12 i d \ln \left(f \right) c -9 e^{2}}{4 \ln \left(f \right) c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{3 i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{16 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-6*I*ln(f)*b*e+12*I*d*ln(f)*c-9*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(b*ln(f)-3*I*e)/(-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(-I*e+b*ln(f))/(-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-c*ln(f))^(1/2))-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+6*I*ln(f)*b*e-12*I*d*ln(f)*c-9*e^2)/ln(f)/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*(3*I*e+b*ln(f))/(-c*ln(f))^(1/2))","A"
128,1,178,157,0.184000," ","int(f^(c*x^2+b*x+a)*cos(f*x^2+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{4 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(I*f-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*ln(f)*b/(-I*f-c*ln(f))^(1/2))","A"
129,1,227,197,0.309000," ","int(f^(c*x^2+b*x+a)*cos(f*x^2+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+8 i d \ln \left(f \right) c +16 d f}{4 \left(-2 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{2 i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-8 i d \ln \left(f \right) c +16 d f}{4 \left(2 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-2 i f -c \ln \left(f \right)}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+8*I*d*ln(f)*c+16*d*f)/(-2*I*f+c*ln(f)))/(2*I*f-c*ln(f))^(1/2)*erf(-x*(2*I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(2*I*f-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-8*I*d*ln(f)*c+16*d*f)/(2*I*f+c*ln(f)))/(-2*I*f-c*ln(f))^(1/2)*erf(-(-2*I*f-c*ln(f))^(1/2)*x+1/2*ln(f)*b/(-2*I*f-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2/(-c*ln(f))^(1/2)*b*ln(f))","A"
130,1,354,312,0.697000," ","int(f^(c*x^2+b*x+a)*cos(f*x^2+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+12 i d \ln \left(f \right) c +36 d f}{4 \left(-3 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{3 i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{3 i f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{\ln \left(f \right) b}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{16 \sqrt{-i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-12 i d \ln \left(f \right) c +36 d f}{4 \left(3 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 i f}\, x +\frac{\ln \left(f \right) b}{2 \sqrt{-c \ln \left(f \right)-3 i f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+12*I*d*ln(f)*c+36*d*f)/(-3*I*f+c*ln(f)))/(3*I*f-c*ln(f))^(1/2)*erf(-x*(3*I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(3*I*f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(4*d*f+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*ln(f)*b/(I*f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*ln(f)*b/(-I*f-c*ln(f))^(1/2))-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-12*I*d*ln(f)*c+36*d*f)/(3*I*f+c*ln(f)))/(-c*ln(f)-3*I*f)^(1/2)*erf(-(-c*ln(f)-3*I*f)^(1/2)*x+1/2*ln(f)*b/(-c*ln(f)-3*I*f)^(1/2))","A"
131,1,214,172,0.188000," ","int(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{4 \sqrt{i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{4 \sqrt{-i f -c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*(-I*e+b*ln(f))/(I*f-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f-c*ln(f))^(1/2))","A"
132,1,263,216,0.330000," ","int(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d)^2,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-4 i \ln \left(f \right) b e +8 i d \ln \left(f \right) c +16 d f -4 e^{2}}{4 \left(-2 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{2 i f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-2 i e}{2 \sqrt{2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+4 i \ln \left(f \right) b e -8 i d \ln \left(f \right) c +16 d f -4 e^{2}}{4 \left(2 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-2 i f -c \ln \left(f \right)}\, x +\frac{2 i e +b \ln \left(f \right)}{2 \sqrt{-2 i f -c \ln \left(f \right)}}\right)}{8 \sqrt{-2 i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(-\sqrt{-c \ln \left(f \right)}\, x +\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}\right)}{4 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-4*I*ln(f)*b*e+8*I*d*ln(f)*c+16*d*f-4*e^2)/(-2*I*f+c*ln(f)))/(2*I*f-c*ln(f))^(1/2)*erf(-x*(2*I*f-c*ln(f))^(1/2)+1/2*(b*ln(f)-2*I*e)/(2*I*f-c*ln(f))^(1/2))-1/8*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+4*I*ln(f)*b*e-8*I*d*ln(f)*c+16*d*f-4*e^2)/(2*I*f+c*ln(f)))/(-2*I*f-c*ln(f))^(1/2)*erf(-(-2*I*f-c*ln(f))^(1/2)*x+1/2*(2*I*e+b*ln(f))/(-2*I*f-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2/(-c*ln(f))^(1/2)*b*ln(f))","A"
133,1,426,346,0.814000," ","int(f^(c*x^2+b*x+a)*cos(f*x^2+e*x+d)^3,x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}-6 i \ln \left(f \right) b e +12 i d \ln \left(f \right) c +36 d f -9 e^{2}}{4 \left(-3 i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{3 i f -c \ln \left(f \right)}+\frac{b \ln \left(f \right)-3 i e}{2 \sqrt{3 i f -c \ln \left(f \right)}}\right)}{16 \sqrt{3 i f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}-2 i \ln \left(f \right) b e +4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(-i f +c \ln \left(f \right)\right)}} \erf \left(-x \sqrt{i f -c \ln \left(f \right)}+\frac{-i e +b \ln \left(f \right)}{2 \sqrt{i f -c \ln \left(f \right)}}\right)}{16 \sqrt{i f -c \ln \left(f \right)}}-\frac{3 \sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 d f -e^{2}+2 i \ln \left(f \right) b e -4 i d \ln \left(f \right) c +\ln \left(f \right)^{2} b^{2}}{4 \left(i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-i f -c \ln \left(f \right)}\, x +\frac{i e +b \ln \left(f \right)}{2 \sqrt{-i f -c \ln \left(f \right)}}\right)}{16 \sqrt{-i f -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{\ln \left(f \right)^{2} b^{2}+6 i \ln \left(f \right) b e -12 i d \ln \left(f \right) c +36 d f -9 e^{2}}{4 \left(3 i f +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{-c \ln \left(f \right)-3 i f}\, x +\frac{3 i e +b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)-3 i f}}\right)}{16 \sqrt{-c \ln \left(f \right)-3 i f}}"," ",0,"-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2-6*I*ln(f)*b*e+12*I*d*ln(f)*c+36*d*f-9*e^2)/(-3*I*f+c*ln(f)))/(3*I*f-c*ln(f))^(1/2)*erf(-x*(3*I*f-c*ln(f))^(1/2)+1/2*(b*ln(f)-3*I*e)/(3*I*f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2-2*I*ln(f)*b*e+4*I*d*ln(f)*c+ln(f)^2*b^2)/(-I*f+c*ln(f)))/(I*f-c*ln(f))^(1/2)*erf(-x*(I*f-c*ln(f))^(1/2)+1/2*(-I*e+b*ln(f))/(I*f-c*ln(f))^(1/2))-3/16*Pi^(1/2)*f^a*exp(-1/4*(4*d*f-e^2+2*I*ln(f)*b*e-4*I*d*ln(f)*c+ln(f)^2*b^2)/(I*f+c*ln(f)))/(-I*f-c*ln(f))^(1/2)*erf(-(-I*f-c*ln(f))^(1/2)*x+1/2*(I*e+b*ln(f))/(-I*f-c*ln(f))^(1/2))-1/16*Pi^(1/2)*f^a*exp(-1/4*(ln(f)^2*b^2+6*I*ln(f)*b*e-12*I*d*ln(f)*c+36*d*f-9*e^2)/(3*I*f+c*ln(f)))/(-c*ln(f)-3*I*f)^(1/2)*erf(-(-c*ln(f)-3*I*f)^(1/2)*x+1/2*(3*I*e+b*ln(f))/(-c*ln(f)-3*I*f)^(1/2))","A"
134,1,215,175,0.201000," ","int(f^(c*x^2+b*x+a)*cos(e*x^2+b*x+a),x)","-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{-\frac{4 a e -b^{2}+4 i \ln \left(f \right) a c -2 i \ln \left(f \right) b^{2}+\ln \left(f \right)^{2} b^{2}}{4 \left(-i e +c \ln \left(f \right)\right)}} \erf \left(-\sqrt{i e -c \ln \left(f \right)}\, x +\frac{-i b +b \ln \left(f \right)}{2 \sqrt{i e -c \ln \left(f \right)}}\right)}{4 \sqrt{i e -c \ln \left(f \right)}}-\frac{\sqrt{\pi}\, f^{a} {\mathrm e}^{\frac{-4 a e +b^{2}+4 i \ln \left(f \right) a c -2 i \ln \left(f \right) b^{2}-\ln \left(f \right)^{2} b^{2}}{4 i e +4 c \ln \left(f \right)}} \erf \left(-\sqrt{-i e -c \ln \left(f \right)}\, x +\frac{i b +b \ln \left(f \right)}{2 \sqrt{-i e -c \ln \left(f \right)}}\right)}{4 \sqrt{-i e -c \ln \left(f \right)}}"," ",0,"-1/4*Pi^(1/2)*f^a*exp(-1/4*(4*a*e-b^2+4*I*ln(f)*a*c-2*I*ln(f)*b^2+ln(f)^2*b^2)/(-I*e+c*ln(f)))/(I*e-c*ln(f))^(1/2)*erf(-(I*e-c*ln(f))^(1/2)*x+1/2*(-I*b+b*ln(f))/(I*e-c*ln(f))^(1/2))-1/4*Pi^(1/2)*f^a*exp(1/4*(-4*a*e+b^2+4*I*ln(f)*a*c-2*I*ln(f)*b^2-ln(f)^2*b^2)/(I*e+c*ln(f)))/(-I*e-c*ln(f))^(1/2)*erf(-(-I*e-c*ln(f))^(1/2)*x+1/2*(I*b+b*ln(f))/(-I*e-c*ln(f))^(1/2))","A"
135,1,368,245,0.424000," ","int(F^(c*(b*x+a))*(f+f*sin(e*x+d))^2,x)","\frac{3 F^{a c} f^{2} F^{b c x}}{2 b c \ln \left(F \right)}-\frac{F^{a c} f^{2} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)}}{2 \left(1+\tan^{2}\left(e x +d \right)\right) \left(4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{2 F^{a c} f^{2} e \,{\mathrm e}^{b c x \ln \left(F \right)} \tan \left(e x +d \right)}{\left(1+\tan^{2}\left(e x +d \right)\right) \left(4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{F^{a c} f^{2} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)} \left(\tan^{2}\left(e x +d \right)\right)}{2 \left(1+\tan^{2}\left(e x +d \right)\right) \left(4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{2 F^{a c} f^{2} e \,{\mathrm e}^{b c x \ln \left(F \right)}}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{2 F^{a c} f^{2} e \,{\mathrm e}^{b c x \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{4 F^{a c} f^{2} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}"," ",0,"3/2*F^(a*c)*f^2/b/c/ln(F)*F^(b*c*x)-1/2*F^(a*c)*f^2/(1+tan(e*x+d)^2)/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(b*c*x*ln(F))-2*F^(a*c)*f^2/(1+tan(e*x+d)^2)/(4*e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))*tan(e*x+d)+1/2*F^(a*c)*f^2/(1+tan(e*x+d)^2)/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(b*c*x*ln(F))*tan(e*x+d)^2-2*F^(a*c)*f^2/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))+2*F^(a*c)*f^2/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))*tan(1/2*d+1/2*e*x)^2+4*F^(a*c)*f^2/(1+tan(1/2*d+1/2*e*x)^2)*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(b*c*x*ln(F))*tan(1/2*d+1/2*e*x)","A"
136,1,183,99,0.046000," ","int(F^(c*(b*x+a))*(f+f*sin(e*x+d)),x)","\frac{f \,F^{c \left(b x +a \right)}}{b c \ln \left(F \right)}+\frac{f e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{f e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{2 f b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}"," ",0,"f/b/c/ln(F)*F^(c*(b*x+a))+f/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2-f/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))+2*f/(1+tan(1/2*d+1/2*e*x)^2)*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)","A"
137,0,0,74,0.196000," ","int(F^(c*(b*x+a))/(f+f*sin(e*x+d)),x)","\int \frac{F^{c \left(b x +a \right)}}{f +f \sin \left(e x +d \right)}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+f*sin(e*x+d)),x)","F"
138,0,0,154,0.954000," ","int(F^(c*(b*x+a))/(f+f*sin(e*x+d))^2,x)","\int \frac{F^{c \left(b x +a \right)}}{\left(f +f \sin \left(e x +d \right)\right)^{2}}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+f*sin(e*x+d))^2,x)","F"
139,1,371,245,0.314000," ","int(F^(c*(b*x+a))*(f+f*cos(e*x+d))^2,x)","\frac{3 F^{a c} f^{2} F^{b c x}}{2 b c \ln \left(F \right)}+\frac{4 F^{a c} f^{2} e \,{\mathrm e}^{b c x \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{2 F^{a c} f^{2} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)}}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{2 F^{a c} f^{2} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{F^{a c} f^{2} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)}}{2 \left(1+\tan^{2}\left(e x +d \right)\right) \left(4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{2 F^{a c} f^{2} e \,{\mathrm e}^{b c x \ln \left(F \right)} \tan \left(e x +d \right)}{\left(1+\tan^{2}\left(e x +d \right)\right) \left(4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{F^{a c} f^{2} b c \ln \left(F \right) {\mathrm e}^{b c x \ln \left(F \right)} \left(\tan^{2}\left(e x +d \right)\right)}{2 \left(1+\tan^{2}\left(e x +d \right)\right) \left(4 e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}"," ",0,"3/2*F^(a*c)*f^2/b/c/ln(F)*F^(b*c*x)+4*F^(a*c)*f^2/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))*tan(1/2*d+1/2*e*x)+2*F^(a*c)*f^2/(1+tan(1/2*d+1/2*e*x)^2)*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(b*c*x*ln(F))-2*F^(a*c)*f^2/(1+tan(1/2*d+1/2*e*x)^2)*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(b*c*x*ln(F))*tan(1/2*d+1/2*e*x)^2+1/2*F^(a*c)*f^2/(1+tan(e*x+d)^2)/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(b*c*x*ln(F))+2*F^(a*c)*f^2/(1+tan(e*x+d)^2)/(4*e^2+b^2*c^2*ln(F)^2)*e*exp(b*c*x*ln(F))*tan(e*x+d)-1/2*F^(a*c)*f^2/(1+tan(e*x+d)^2)/(4*e^2+b^2*c^2*ln(F)^2)*b*c*ln(F)*exp(b*c*x*ln(F))*tan(e*x+d)^2","A"
140,1,186,98,0.073000," ","int(F^(c*(b*x+a))*(f+f*cos(e*x+d)),x)","\frac{f \,F^{c \left(b x +a \right)}}{b c \ln \left(F \right)}+\frac{f b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)}}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}+\frac{2 f e \,{\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \tan \left(\frac{d}{2}+\frac{e x}{2}\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}-\frac{f b c \ln \left(F \right) {\mathrm e}^{c \left(b x +a \right) \ln \left(F \right)} \left(\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right)}{\left(1+\tan^{2}\left(\frac{d}{2}+\frac{e x}{2}\right)\right) \left(e^{2}+b^{2} c^{2} \ln \left(F \right)^{2}\right)}"," ",0,"f/b/c/ln(F)*F^(c*(b*x+a))+f/(1+tan(1/2*d+1/2*e*x)^2)*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))+2*f/(1+tan(1/2*d+1/2*e*x)^2)/(e^2+b^2*c^2*ln(F)^2)*e*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)-f/(1+tan(1/2*d+1/2*e*x)^2)*b*c*ln(F)/(e^2+b^2*c^2*ln(F)^2)*exp(c*(b*x+a)*ln(F))*tan(1/2*d+1/2*e*x)^2","A"
141,0,0,74,0.154000," ","int(F^(c*(b*x+a))/(f+f*cos(e*x+d)),x)","\int \frac{F^{c \left(b x +a \right)}}{f +f \cos \left(e x +d \right)}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+f*cos(e*x+d)),x)","F"
142,0,0,146,0.376000," ","int(F^(c*(b*x+a))/(f+f*cos(e*x+d))^2,x)","\int \frac{F^{c \left(b x +a \right)}}{\left(f +f \cos \left(e x +d \right)\right)^{2}}\, dx"," ",0,"int(F^(c*(b*x+a))/(f+f*cos(e*x+d))^2,x)","F"