1,1,107,0,0.1380903,"\int F^{c (a+b x)} \sin ^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Sin[d + e*x]^n,x]","-\frac{\left(1-e^{2 i (d+e x)}\right)^{-n} F^{c (a+b x)} \sin ^n(d+e x) \, _2F_1\left(-n,-\frac{e n+i b c \log (F)}{2 e};\frac{1}{2} \left(-n-\frac{i b c \log (F)}{e}+2\right);e^{2 i (d+e x)}\right)}{-b c \log (F)+i e n}","-\frac{\left(1-e^{2 i (d+e x)}\right)^{-n} F^{c (a+b x)} \sin ^n(d+e x) \, _2F_1\left(-n,-\frac{e n+i b c \log (F)}{2 e};\frac{1}{2} \left(-n-\frac{i b c \log (F)}{e}+2\right);e^{2 i (d+e x)}\right)}{-b c \log (F)+i e n}",1,"-((F^(c*(a + b*x))*Hypergeometric2F1[-n, -(e*n + I*b*c*Log[F])/(2*e), (2 - n - (I*b*c*Log[F])/e)/2, E^((2*I)*(d + e*x))]*Sin[d + e*x]^n)/((1 - E^((2*I)*(d + e*x)))^n*(I*e*n - b*c*Log[F])))","A",2,2,18,0.1111,1,"{4440, 2259}"
2,1,199,0,0.0698005,"\int F^{c (a+b x)} \sin ^3(d+e x) \, dx","Int[F^(c*(a + b*x))*Sin[d + e*x]^3,x]","\frac{b c \log (F) \sin ^3(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}+\frac{6 b c e^2 \log (F) \sin (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}-\frac{6 e^3 \cos (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}-\frac{3 e \sin ^2(d+e x) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}","\frac{b c \log (F) \sin ^3(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}+\frac{6 b c e^2 \log (F) \sin (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}-\frac{6 e^3 \cos (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}-\frac{3 e \sin ^2(d+e x) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}",1,"(-6*e^3*F^(c*(a + b*x))*Cos[d + e*x])/(9*e^4 + 10*b^2*c^2*e^2*Log[F]^2 + b^4*c^4*Log[F]^4) + (6*b*c*e^2*F^(c*(a + b*x))*Log[F]*Sin[d + e*x])/(9*e^4 + 10*b^2*c^2*e^2*Log[F]^2 + b^4*c^4*Log[F]^4) - (3*e*F^(c*(a + b*x))*Cos[d + e*x]*Sin[d + e*x]^2)/(9*e^2 + b^2*c^2*Log[F]^2) + (b*c*F^(c*(a + b*x))*Log[F]*Sin[d + e*x]^3)/(9*e^2 + b^2*c^2*Log[F]^2)","A",2,2,18,0.1111,1,"{4434, 4432}"
3,1,128,0,0.0520328,"\int F^{c (a+b x)} \sin ^2(d+e x) \, dx","Int[F^(c*(a + b*x))*Sin[d + e*x]^2,x]","\frac{b c \log (F) \sin ^2(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}-\frac{2 e \sin (d+e x) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 F^{c (a+b x)}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}","\frac{b c \log (F) \sin ^2(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}-\frac{2 e \sin (d+e x) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 F^{c (a+b x)}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}",1,"(2*e^2*F^(c*(a + b*x)))/(b*c*Log[F]*(4*e^2 + b^2*c^2*Log[F]^2)) - (2*e*F^(c*(a + b*x))*Cos[d + e*x]*Sin[d + e*x])/(4*e^2 + b^2*c^2*Log[F]^2) + (b*c*F^(c*(a + b*x))*Log[F]*Sin[d + e*x]^2)/(4*e^2 + b^2*c^2*Log[F]^2)","A",2,2,18,0.1111,1,"{4434, 2194}"
4,1,73,0,0.0162222,"\int F^{c (a+b x)} \sin (d+e x) \, dx","Int[F^(c*(a + b*x))*Sin[d + e*x],x]","\frac{b c \log (F) \sin (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}-\frac{e \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}","\frac{b c \log (F) \sin (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}-\frac{e \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}",1,"-((e*F^(c*(a + b*x))*Cos[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)) + (b*c*F^(c*(a + b*x))*Log[F]*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)","A",1,1,16,0.06250,1,"{4432}"
5,1,81,0,0.0216913,"\int F^{c (a+b x)} \csc (d+e x) \, dx","Int[F^(c*(a + b*x))*Csc[d + e*x],x]","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);e^{2 i (d+e x)}\right)}{e-i b c \log (F)}","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);e^{2 i (d+e x)}\right)}{e-i b c \log (F)}",1,"(-2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, E^((2*I)*(d + e*x))])/(e - I*b*c*Log[F])","A",1,1,16,0.06250,1,"{4453}"
6,1,78,0,0.0286723,"\int F^{c (a+b x)} \csc ^2(d+e x) \, dx","Int[F^(c*(a + b*x))*Csc[d + e*x]^2,x]","-\frac{4 e^{2 i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};e^{2 i (d+e x)}\right)}{b c \log (F)+2 i e}","-\frac{4 e^{2 i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};e^{2 i (d+e x)}\right)}{b c \log (F)+2 i e}",1,"(-4*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, E^((2*I)*(d + e*x))])/((2*I)*e + b*c*Log[F])","A",1,1,18,0.05556,1,"{4453}"
7,1,137,0,0.0490738,"\int F^{c (a+b x)} \csc ^3(d+e x) \, dx","Int[F^(c*(a + b*x))*Csc[d + e*x]^3,x]","-\frac{e^{i (d+e x)} F^{c (a+b x)} (e+i b c \log (F)) \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);e^{2 i (d+e x)}\right)}{e^2}-\frac{b c \log (F) \csc (d+e x) F^{c (a+b x)}}{2 e^2}-\frac{\cot (d+e x) \csc (d+e x) F^{c (a+b x)}}{2 e}","-\frac{e^{i (d+e x)} F^{c (a+b x)} (e+i b c \log (F)) \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);e^{2 i (d+e x)}\right)}{e^2}-\frac{b c \log (F) \csc (d+e x) F^{c (a+b x)}}{2 e^2}-\frac{\cot (d+e x) \csc (d+e x) F^{c (a+b x)}}{2 e}",1,"-(F^(c*(a + b*x))*Cot[d + e*x]*Csc[d + e*x])/(2*e) - (b*c*F^(c*(a + b*x))*Csc[d + e*x]*Log[F])/(2*e^2) - (E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, E^((2*I)*(d + e*x))]*(e + I*b*c*Log[F]))/e^2","A",2,2,18,0.1111,1,"{4449, 4453}"
8,1,141,0,0.0549809,"\int F^{c (a+b x)} \csc ^4(d+e x) \, dx","Int[F^(c*(a + b*x))*Csc[d + e*x]^4,x]","\frac{2 e^{2 i (d+e x)} F^{c (a+b x)} (-b c \log (F)+2 i e) \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};e^{2 i (d+e x)}\right)}{3 e^2}-\frac{b c \log (F) \csc ^2(d+e x) F^{c (a+b x)}}{6 e^2}-\frac{\cot (d+e x) \csc ^2(d+e x) F^{c (a+b x)}}{3 e}","\frac{2 e^{2 i (d+e x)} F^{c (a+b x)} (-b c \log (F)+2 i e) \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};e^{2 i (d+e x)}\right)}{3 e^2}-\frac{b c \log (F) \csc ^2(d+e x) F^{c (a+b x)}}{6 e^2}-\frac{\cot (d+e x) \csc ^2(d+e x) F^{c (a+b x)}}{3 e}",1,"-(F^(c*(a + b*x))*Cot[d + e*x]*Csc[d + e*x]^2)/(3*e) - (b*c*F^(c*(a + b*x))*Csc[d + e*x]^2*Log[F])/(6*e^2) + (2*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, E^((2*I)*(d + e*x))]*((2*I)*e - b*c*Log[F]))/(3*e^2)","A",2,2,18,0.1111,1,"{4449, 4453}"
9,1,54,0,0.0256499,"\int e^x \sin ^4(x) \, dx","Int[E^x*Sin[x]^4,x]","\frac{24 e^x}{85}+\frac{1}{17} e^x \sin ^4(x)+\frac{12}{85} e^x \sin ^2(x)-\frac{4}{17} e^x \sin ^3(x) \cos (x)-\frac{24}{85} e^x \sin (x) \cos (x)","\frac{24 e^x}{85}+\frac{1}{17} e^x \sin ^4(x)+\frac{12}{85} e^x \sin ^2(x)-\frac{4}{17} e^x \sin ^3(x) \cos (x)-\frac{24}{85} e^x \sin (x) \cos (x)",1,"(24*E^x)/85 - (24*E^x*Cos[x]*Sin[x])/85 + (12*E^x*Sin[x]^2)/85 - (4*E^x*Cos[x]*Sin[x]^3)/17 + (E^x*Sin[x]^4)/17","A",3,2,8,0.2500,1,"{4434, 2194}"
10,1,107,0,0.1121387,"\int F^{c (a+b x)} \cos ^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Cos[d + e*x]^n,x]","-\frac{\left(1+e^{2 i (d+e x)}\right)^{-n} F^{c (a+b x)} \cos ^n(d+e x) \, _2F_1\left(-n,-\frac{e n+i b c \log (F)}{2 e};\frac{1}{2} \left(-n-\frac{i b c \log (F)}{e}+2\right);-e^{2 i (d+e x)}\right)}{-b c \log (F)+i e n}","-\frac{\left(1+e^{2 i (d+e x)}\right)^{-n} F^{c (a+b x)} \cos ^n(d+e x) \, _2F_1\left(-n,-\frac{e n+i b c \log (F)}{2 e};\frac{1}{2} \left(-n-\frac{i b c \log (F)}{e}+2\right);-e^{2 i (d+e x)}\right)}{-b c \log (F)+i e n}",1,"-((F^(c*(a + b*x))*Cos[d + e*x]^n*Hypergeometric2F1[-n, -(e*n + I*b*c*Log[F])/(2*e), (2 - n - (I*b*c*Log[F])/e)/2, -E^((2*I)*(d + e*x))])/((1 + E^((2*I)*(d + e*x)))^n*(I*e*n - b*c*Log[F])))","A",2,2,18,0.1111,1,"{4441, 2259}"
11,1,199,0,0.0528869,"\int F^{c (a+b x)} \cos ^3(d+e x) \, dx","Int[F^(c*(a + b*x))*Cos[d + e*x]^3,x]","\frac{6 e^3 \sin (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}+\frac{b c \log (F) \cos ^3(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}+\frac{6 b c e^2 \log (F) \cos (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}+\frac{3 e \sin (d+e x) \cos ^2(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}","\frac{6 e^3 \sin (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}+\frac{b c \log (F) \cos ^3(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}+\frac{6 b c e^2 \log (F) \cos (d+e x) F^{c (a+b x)}}{10 b^2 c^2 e^2 \log ^2(F)+b^4 c^4 \log ^4(F)+9 e^4}+\frac{3 e \sin (d+e x) \cos ^2(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+9 e^2}",1,"(b*c*F^(c*(a + b*x))*Cos[d + e*x]^3*Log[F])/(9*e^2 + b^2*c^2*Log[F]^2) + (6*b*c*e^2*F^(c*(a + b*x))*Cos[d + e*x]*Log[F])/(9*e^4 + 10*b^2*c^2*e^2*Log[F]^2 + b^4*c^4*Log[F]^4) + (3*e*F^(c*(a + b*x))*Cos[d + e*x]^2*Sin[d + e*x])/(9*e^2 + b^2*c^2*Log[F]^2) + (6*e^3*F^(c*(a + b*x))*Sin[d + e*x])/(9*e^4 + 10*b^2*c^2*e^2*Log[F]^2 + b^4*c^4*Log[F]^4)","A",2,2,18,0.1111,1,"{4435, 4433}"
12,1,128,0,0.0366937,"\int F^{c (a+b x)} \cos ^2(d+e x) \, dx","Int[F^(c*(a + b*x))*Cos[d + e*x]^2,x]","\frac{b c \log (F) \cos ^2(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e \sin (d+e x) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 F^{c (a+b x)}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}","\frac{b c \log (F) \cos ^2(d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e \sin (d+e x) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 F^{c (a+b x)}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}",1,"(2*e^2*F^(c*(a + b*x)))/(b*c*Log[F]*(4*e^2 + b^2*c^2*Log[F]^2)) + (b*c*F^(c*(a + b*x))*Cos[d + e*x]^2*Log[F])/(4*e^2 + b^2*c^2*Log[F]^2) + (2*e*F^(c*(a + b*x))*Cos[d + e*x]*Sin[d + e*x])/(4*e^2 + b^2*c^2*Log[F]^2)","A",2,2,18,0.1111,1,"{4435, 2194}"
13,1,72,0,0.0161595,"\int F^{c (a+b x)} \cos (d+e x) \, dx","Int[F^(c*(a + b*x))*Cos[d + e*x],x]","\frac{e \sin (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b c \log (F) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}","\frac{e \sin (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b c \log (F) \cos (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)+e^2}",1,"(b*c*F^(c*(a + b*x))*Cos[d + e*x]*Log[F])/(e^2 + b^2*c^2*Log[F]^2) + (e*F^(c*(a + b*x))*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)","A",1,1,16,0.06250,1,"{4433}"
14,1,84,0,0.0178264,"\int F^{c (a+b x)} \sec (d+e x) \, dx","Int[F^(c*(a + b*x))*Sec[d + e*x],x]","\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);-e^{2 i (d+e x)}\right)}{b c \log (F)+i e}","\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);-e^{2 i (d+e x)}\right)}{b c \log (F)+i e}",1,"(2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, -E^((2*I)*(d + e*x))])/(I*e + b*c*Log[F])","A",1,1,16,0.06250,1,"{4451}"
15,1,80,0,0.023731,"\int F^{c (a+b x)} \sec ^2(d+e x) \, dx","Int[F^(c*(a + b*x))*Sec[d + e*x]^2,x]","\frac{4 e^{2 i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};-e^{2 i (d+e x)}\right)}{b c \log (F)+2 i e}","\frac{4 e^{2 i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};-e^{2 i (d+e x)}\right)}{b c \log (F)+2 i e}",1,"(4*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, -E^((2*I)*(d + e*x))])/((2*I)*e + b*c*Log[F])","A",1,1,18,0.05556,1,"{4451}"
16,1,141,0,0.048772,"\int F^{c (a+b x)} \sec ^3(d+e x) \, dx","Int[F^(c*(a + b*x))*Sec[d + e*x]^3,x]","-\frac{e^{i (d+e x)} F^{c (a+b x)} (-b c \log (F)+i e) \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);-e^{2 i (d+e x)}\right)}{e^2}-\frac{b c \log (F) \sec (d+e x) F^{c (a+b x)}}{2 e^2}+\frac{\tan (d+e x) \sec (d+e x) F^{c (a+b x)}}{2 e}","-\frac{e^{i (d+e x)} F^{c (a+b x)} (-b c \log (F)+i e) \, _2F_1\left(1,\frac{e-i b c \log (F)}{2 e};\frac{1}{2} \left(3-\frac{i b c \log (F)}{e}\right);-e^{2 i (d+e x)}\right)}{e^2}-\frac{b c \log (F) \sec (d+e x) F^{c (a+b x)}}{2 e^2}+\frac{\tan (d+e x) \sec (d+e x) F^{c (a+b x)}}{2 e}",1,"-((E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, -E^((2*I)*(d + e*x))]*(I*e - b*c*Log[F]))/e^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sec[d + e*x])/(2*e^2) + (F^(c*(a + b*x))*Sec[d + e*x]*Tan[d + e*x])/(2*e)","A",2,2,18,0.1111,1,"{4448, 4451}"
17,1,143,0,0.0525938,"\int F^{c (a+b x)} \sec ^4(d+e x) \, dx","Int[F^(c*(a + b*x))*Sec[d + e*x]^4,x]","-\frac{2 e^{2 i (d+e x)} F^{c (a+b x)} (-b c \log (F)+2 i e) \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};-e^{2 i (d+e x)}\right)}{3 e^2}-\frac{b c \log (F) \sec ^2(d+e x) F^{c (a+b x)}}{6 e^2}+\frac{\tan (d+e x) \sec ^2(d+e x) F^{c (a+b x)}}{3 e}","-\frac{2 e^{2 i (d+e x)} F^{c (a+b x)} (-b c \log (F)+2 i e) \, _2F_1\left(2,1-\frac{i b c \log (F)}{2 e};2-\frac{i b c \log (F)}{2 e};-e^{2 i (d+e x)}\right)}{3 e^2}-\frac{b c \log (F) \sec ^2(d+e x) F^{c (a+b x)}}{6 e^2}+\frac{\tan (d+e x) \sec ^2(d+e x) F^{c (a+b x)}}{3 e}",1,"(-2*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, -E^((2*I)*(d + e*x))]*((2*I)*e - b*c*Log[F]))/(3*e^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sec[d + e*x]^2)/(6*e^2) + (F^(c*(a + b*x))*Sec[d + e*x]^2*Tan[d + e*x])/(3*e)","A",2,2,18,0.1111,1,"{4448, 4451}"
18,1,54,0,0.0289402,"\int e^x \cos ^4(x) \, dx","Int[E^x*Cos[x]^4,x]","\frac{24 e^x}{85}+\frac{1}{17} e^x \cos ^4(x)+\frac{12}{85} e^x \cos ^2(x)+\frac{4}{17} e^x \sin (x) \cos ^3(x)+\frac{24}{85} e^x \sin (x) \cos (x)","\frac{24 e^x}{85}+\frac{1}{17} e^x \cos ^4(x)+\frac{12}{85} e^x \cos ^2(x)+\frac{4}{17} e^x \sin (x) \cos ^3(x)+\frac{24}{85} e^x \sin (x) \cos (x)",1,"(24*E^x)/85 + (12*E^x*Cos[x]^2)/85 + (E^x*Cos[x]^4)/17 + (24*E^x*Cos[x]*Sin[x])/85 + (4*E^x*Cos[x]^3*Sin[x])/17","A",3,2,8,0.2500,1,"{4435, 2194}"
19,1,194,0,0.1985649,"\int e^{c (a+b x)} \tan ^3(d+e x) \, dx","Int[E^(c*(a + b*x))*Tan[d + e*x]^3,x]","-\frac{6 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}+\frac{12 i e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{8 i e^{c (a+b x)} \, _2F_1\left(3,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}+\frac{i e^{c (a+b x)}}{b c}","-\frac{6 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}+\frac{12 i e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{8 i e^{c (a+b x)} \, _2F_1\left(3,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}+\frac{i e^{c (a+b x)}}{b c}",1,"(I*E^(c*(a + b*x)))/(b*c) - ((6*I)*E^(c*(a + b*x))*Hypergeometric2F1[1, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, -E^((2*I)*(d + e*x))])/(b*c) + ((12*I)*E^(c*(a + b*x))*Hypergeometric2F1[2, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, -E^((2*I)*(d + e*x))])/(b*c) - ((8*I)*E^(c*(a + b*x))*Hypergeometric2F1[3, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, -E^((2*I)*(d + e*x))])/(b*c)","A",6,3,18,0.1667,1,"{4442, 2194, 2251}"
20,1,130,0,0.125604,"\int e^{c (a+b x)} \tan ^2(d+e x) \, dx","Int[E^(c*(a + b*x))*Tan[d + e*x]^2,x]","\frac{4 e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{4 e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{e^{c (a+b x)}}{b c}","\frac{4 e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{4 e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{e^{c (a+b x)}}{b c}",1,"-(E^(c*(a + b*x))/(b*c)) + (4*E^(c*(a + b*x))*Hypergeometric2F1[1, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, -E^((2*I)*(d + e*x))])/(b*c) - (4*E^(c*(a + b*x))*Hypergeometric2F1[2, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, -E^((2*I)*(d + e*x))])/(b*c)","A",5,3,18,0.1667,1,"{4442, 2194, 2251}"
21,1,78,0,0.0756806,"\int e^{c (a+b x)} \tan (d+e x) \, dx","Int[E^(c*(a + b*x))*Tan[d + e*x],x]","\frac{2 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{i e^{c (a+b x)}}{b c}","\frac{2 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};-e^{2 i (d+e x)}\right)}{b c}-\frac{i e^{c (a+b x)}}{b c}",1,"((-I)*E^(c*(a + b*x)))/(b*c) + ((2*I)*E^(c*(a + b*x))*Hypergeometric2F1[1, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, -E^((2*I)*(d + e*x))])/(b*c)","A",4,3,16,0.1875,1,"{4442, 2194, 2251}"
22,1,76,0,0.078103,"\int e^{c (a+b x)} \cot (d+e x) \, dx","Int[E^(c*(a + b*x))*Cot[d + e*x],x]","\frac{i e^{c (a+b x)}}{b c}-\frac{2 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}","\frac{i e^{c (a+b x)}}{b c}-\frac{2 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}",1,"(I*E^(c*(a + b*x)))/(b*c) - ((2*I)*E^(c*(a + b*x))*Hypergeometric2F1[1, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, E^((2*I)*(d + e*x))])/(b*c)","A",4,3,16,0.1875,1,"{4443, 2194, 2251}"
23,1,126,0,0.1246921,"\int e^{c (a+b x)} \cot ^2(d+e x) \, dx","Int[E^(c*(a + b*x))*Cot[d + e*x]^2,x]","\frac{4 e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{4 e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{e^{c (a+b x)}}{b c}","\frac{4 e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{4 e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{e^{c (a+b x)}}{b c}",1,"-(E^(c*(a + b*x))/(b*c)) + (4*E^(c*(a + b*x))*Hypergeometric2F1[1, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, E^((2*I)*(d + e*x))])/(b*c) - (4*E^(c*(a + b*x))*Hypergeometric2F1[2, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, E^((2*I)*(d + e*x))])/(b*c)","A",5,3,18,0.1667,1,"{4443, 2194, 2251}"
24,1,188,0,0.1905274,"\int e^{c (a+b x)} \cot ^3(d+e x) \, dx","Int[E^(c*(a + b*x))*Cot[d + e*x]^3,x]","\frac{6 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{12 i e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}+\frac{8 i e^{c (a+b x)} \, _2F_1\left(3,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{i e^{c (a+b x)}}{b c}","\frac{6 i e^{c (a+b x)} \, _2F_1\left(1,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{12 i e^{c (a+b x)} \, _2F_1\left(2,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}+\frac{8 i e^{c (a+b x)} \, _2F_1\left(3,-\frac{i b c}{2 e};1-\frac{i b c}{2 e};e^{2 i (d+e x)}\right)}{b c}-\frac{i e^{c (a+b x)}}{b c}",1,"((-I)*E^(c*(a + b*x)))/(b*c) + ((6*I)*E^(c*(a + b*x))*Hypergeometric2F1[1, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, E^((2*I)*(d + e*x))])/(b*c) - ((12*I)*E^(c*(a + b*x))*Hypergeometric2F1[2, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, E^((2*I)*(d + e*x))])/(b*c) + ((8*I)*E^(c*(a + b*x))*Hypergeometric2F1[3, ((-I/2)*b*c)/e, 1 - ((I/2)*b*c)/e, E^((2*I)*(d + e*x))])/(b*c)","A",6,3,18,0.1667,1,"{4443, 2194, 2251}"
25,1,76,0,0.0935517,"\int F^{a+b x} \tan \left(\frac{\pi }{4}+\frac{1}{2} (-c-d x)\right) \, dx","Int[F^(a + b*x)*Tan[Pi/4 + (-c - d*x)/2],x]","\frac{i F^{a+b x}}{b \log (F)}-\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};i e^{i (c+d x)}\right)}{b \log (F)}","\frac{i F^{a+b x}}{b \log (F)}-\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};i e^{i (c+d x)}\right)}{b \log (F)}",1,"(I*F^(a + b*x))/(b*Log[F]) - ((2*I)*F^(a + b*x)*Hypergeometric2F1[1, ((-I)*b*Log[F])/d, 1 - (I*b*Log[F])/d, I*E^(I*(c + d*x))])/(b*Log[F])","A",5,4,27,0.1481,1,"{4464, 4442, 2194, 2251}"
26,1,100,0,0.1404732,"\int F^{c (a+b x)} \sec ^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Sec[d + e*x]^n,x]","\frac{\left(1+e^{2 i (d+e x)}\right)^n F^{a c+b c x} \sec ^n(d+e x) \, _2F_1\left(n,\frac{e n-i b c \log (F)}{2 e};\frac{1}{2} \left(n-\frac{i b c \log (F)}{e}+2\right);-e^{2 i (d+e x)}\right)}{b c \log (F)+i e n}","\frac{\left(1+e^{2 i (d+e x)}\right)^n F^{a c+b c x} \sec ^n(d+e x) \, _2F_1\left(n,\frac{e n-i b c \log (F)}{2 e};\frac{1}{2} \left(n-\frac{i b c \log (F)}{e}+2\right);-e^{2 i (d+e x)}\right)}{b c \log (F)+i e n}",1,"((1 + E^((2*I)*(d + e*x)))^n*F^(a*c + b*c*x)*Hypergeometric2F1[n, (e*n - I*b*c*Log[F])/(2*e), (2 + n - (I*b*c*Log[F])/e)/2, -E^((2*I)*(d + e*x))]*Sec[d + e*x]^n)/(I*e*n + b*c*Log[F])","A",2,2,18,0.1111,1,"{4454, 2259}"
27,1,102,0,0.1570182,"\int F^{c (a+b x)} \csc ^n(d+e x) \, dx","Int[F^(c*(a + b*x))*Csc[d + e*x]^n,x]","-\frac{\left(1-e^{-2 i (d+e x)}\right)^n F^{a c+b c x} \csc ^n(d+e x) \, _2F_1\left(n,\frac{e n+i b c \log (F)}{2 e};\frac{1}{2} \left(n+\frac{i b c \log (F)}{e}+2\right);e^{-2 i (d+e x)}\right)}{-b c \log (F)+i e n}","-\frac{\left(1-e^{-2 i (d+e x)}\right)^n F^{a c+b c x} \csc ^n(d+e x) \, _2F_1\left(n,\frac{e n+i b c \log (F)}{2 e};\frac{1}{2} \left(n+\frac{i b c \log (F)}{e}+2\right);e^{-2 i (d+e x)}\right)}{-b c \log (F)+i e n}",1,"-(((1 - E^((-2*I)*(d + e*x)))^n*F^(a*c + b*c*x)*Csc[d + e*x]^n*Hypergeometric2F1[n, (e*n + I*b*c*Log[F])/(2*e), (2 + n + (I*b*c*Log[F])/e)/2, E^((-2*I)*(d + e*x))])/(I*e*n - b*c*Log[F]))","A",2,2,18,0.1111,1,"{4455, 2259}"
28,0,0,0,0.4909767,"\int F^{c (a+b x)} (f x)^m \sin (d+e x) \, dx","Int[F^(c*(a + b*x))*(f*x)^m*Sin[d + e*x],x]","\int F^{c (a+b x)} (f x)^m \sin (d+e x) \, dx","-\frac{e^{i d} F^{a c} (f x)^m (-x (b c \log (F)+i e))^{-m} \text{Gamma}(m+1,-x (b c \log (F)+i e))}{2 (e-i b c \log (F))}-\frac{e^{-i d} F^{a c} (f x)^m (x (-b c \log (F)+i e))^{-m} \text{Gamma}(m+1,x (-b c \log (F)+i e))}{2 (e+i b c \log (F))}",1,"Defer[Int][F^(a*c + b*c*x)*(f*x)^m*Sin[d + e*x], x]","F",0,0,0,0,-1,"{}"
29,0,0,0,0.6227106,"\int F^{c (a+b x)} (f x)^m \csc (d+e x) \, dx","Int[F^(c*(a + b*x))*(f*x)^m*Csc[d + e*x],x]","\int F^{c (a+b x)} (f x)^m \csc (d+e x) \, dx","\text{Int}\left((f x)^m \csc (d+e x) F^{a c+b c x},x\right)",0,"Defer[Int][F^(a*c + b*c*x)*(f*x)^m*Csc[d + e*x], x]","A",0,0,0,0,-1,"{}"
30,0,0,0,0.9514913,"\int F^{c (a+b x)} (f x)^m \csc ^2(d+e x) \, dx","Int[F^(c*(a + b*x))*(f*x)^m*Csc[d + e*x]^2,x]","\int F^{c (a+b x)} (f x)^m \csc ^2(d+e x) \, dx","\text{Int}\left((f x)^m \csc ^2(d+e x) F^{a c+b c x},x\right)",0,"Defer[Int][F^(a*c + b*c*x)*(f*x)^m*Csc[d + e*x]^2, x]","A",0,0,0,0,-1,"{}"
31,1,24,0,3.9752525,"\int f F^{c (a+b x)} (f x)^{-2+m} (e x \cos (d+e x)+(-1+m+b c x \log (F)) \sin (d+e x)) \, dx","Int[f*F^(c*(a + b*x))*(f*x)^(-2 + m)*(e*x*Cos[d + e*x] + (-1 + m + b*c*x*Log[F])*Sin[d + e*x]),x]","(f x)^{m-1} \sin (d+e x) F^{a c+b c x}","(f x)^{m-1} \sin (d+e x) F^{a c+b c x}",1,"F^(a*c + b*c*x)*(f*x)^(-1 + m)*Sin[d + e*x]","A",11,5,44,0.1136,1,"{12, 6741, 6742, 4468, 4467}"
32,0,0,0,2.3403227,"\int f F^{c (a+b x)} (f x)^m (e x \cos (d+e x)+(1+m+b c x \log (F)) \sin (d+e x)) \, dx","Int[f*F^(c*(a + b*x))*(f*x)^m*(e*x*Cos[d + e*x] + (1 + m + b*c*x*Log[F])*Sin[d + e*x]),x]","\int f F^{c (a+b x)} (f x)^m (e x \cos (d+e x)+(1+m+b c x \log (F)) \sin (d+e x)) \, dx","f x (f x)^m \sin (d+e x) F^{c (a+b x)}",1,"e*Defer[Int][F^(a*c + b*c*x)*(f*x)^(1 + m)*Cos[d + e*x], x] + f*(1 + m)*Defer[Int][F^(a*c + b*c*x)*(f*x)^m*Sin[d + e*x], x] + b*c*Log[F]*Defer[Int][F^(a*c + b*c*x)*(f*x)^(1 + m)*Sin[d + e*x], x]","F",0,0,0,0,-1,"{}"
33,1,22,0,2.5633,"\int \frac{F^{c (a+b x)} (f x)^m (e x \cos (d+e x)+(m+b c x \log (F)) \sin (d+e x))}{x} \, dx","Int[(F^(c*(a + b*x))*(f*x)^m*(e*x*Cos[d + e*x] + (m + b*c*x*Log[F])*Sin[d + e*x]))/x,x]","(f x)^m \sin (d+e x) F^{a c+b c x}","(f x)^m \sin (d+e x) F^{a c+b c x}",1,"F^(a*c + b*c*x)*(f*x)^m*Sin[d + e*x]","A",7,4,43,0.09302,1,"{16, 6741, 6742, 4467}"
34,1,327,0,0.7663683,"\int F^{c (a+b x)} (e x \cos (d+e x)+(1+b c x \log (F)) \sin (d+e x)) \, dx","Int[F^(c*(a + b*x))*(e*x*Cos[d + e*x] + (1 + b*c*x*Log[F])*Sin[d + e*x]),x]","\frac{b^2 c^2 x \log ^2(F) \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{e^2 x \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b c \log (F) \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}-\frac{b^3 c^3 \log ^3(F) \sin (d+e x) F^{a c+b c x}}{\left(b^2 c^2 \log ^2(F)+e^2\right)^2}-\frac{b c e^2 \log (F) \sin (d+e x) F^{a c+b c x}}{\left(b^2 c^2 \log ^2(F)+e^2\right)^2}-\frac{e \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b^2 c^2 e \log ^2(F) \cos (d+e x) F^{a c+b c x}}{\left(b^2 c^2 \log ^2(F)+e^2\right)^2}+\frac{e^3 \cos (d+e x) F^{a c+b c x}}{\left(b^2 c^2 \log ^2(F)+e^2\right)^2}","x \sin (d+e x) F^{c (a+b x)}",1,"(e^3*F^(a*c + b*c*x)*Cos[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)^2 + (b^2*c^2*e*F^(a*c + b*c*x)*Cos[d + e*x]*Log[F]^2)/(e^2 + b^2*c^2*Log[F]^2)^2 - (e*F^(a*c + b*c*x)*Cos[d + e*x])/(e^2 + b^2*c^2*Log[F]^2) - (b*c*e^2*F^(a*c + b*c*x)*Log[F]*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)^2 - (b^3*c^3*F^(a*c + b*c*x)*Log[F]^3*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)^2 + (e^2*F^(a*c + b*c*x)*x*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2) + (b*c*F^(a*c + b*c*x)*Log[F]*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2) + (b^2*c^2*F^(a*c + b*c*x)*x*Log[F]^2*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)","B",14,6,35,0.1714,1,"{6741, 6742, 4433, 4466, 4432, 4465}"
35,1,16,0,0.0293524,"\int F^{c (a+b x)} (e \cos (d+e x)+b c \log (F) \sin (d+e x)) \, dx","Int[F^(c*(a + b*x))*(e*Cos[d + e*x] + b*c*Log[F]*Sin[d + e*x]),x]","\sin (d+e x) F^{c (a+b x)}","\sin (d+e x) F^{c (a+b x)}",1,"F^(c*(a + b*x))*Sin[d + e*x]","A",1,1,30,0.03333,1,"{2288}"
36,1,20,0,1.7319616,"\int \frac{F^{c (a+b x)} (e x \cos (d+e x)+(-1+b c x \log (F)) \sin (d+e x))}{x^2} \, dx","Int[(F^(c*(a + b*x))*(e*x*Cos[d + e*x] + (-1 + b*c*x*Log[F])*Sin[d + e*x]))/x^2,x]","\frac{\sin (d+e x) F^{a c+b c x}}{x}","\frac{\sin (d+e x) F^{a c+b c x}}{x}",1,"(F^(a*c + b*c*x)*Sin[d + e*x])/x","A",6,3,38,0.07895,1,"{6741, 6742, 4467}"
37,1,20,0,1.9497854,"\int \frac{F^{c (a+b x)} (e x \cos (d+e x)+(-2+b c x \log (F)) \sin (d+e x))}{x^3} \, dx","Int[(F^(c*(a + b*x))*(e*x*Cos[d + e*x] + (-2 + b*c*x*Log[F])*Sin[d + e*x]))/x^3,x]","\frac{\sin (d+e x) F^{a c+b c x}}{x^2}","\frac{\sin (d+e x) F^{a c+b c x}}{x^2}",1,"(F^(a*c + b*c*x)*Sin[d + e*x])/x^2","A",10,4,38,0.1053,1,"{6741, 6742, 4468, 4467}"
38,1,63,0,0.0471897,"\int e^{a+b x} \cos (c+d x) \sin (c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]*Sin[c + d*x],x]","\frac{b e^{a+b x} \sin (2 c+2 d x)}{2 \left(b^2+4 d^2\right)}-\frac{d e^{a+b x} \cos (2 c+2 d x)}{b^2+4 d^2}","\frac{b e^{a+b x} \sin (2 c+2 d x)}{2 \left(b^2+4 d^2\right)}-\frac{d e^{a+b x} \cos (2 c+2 d x)}{b^2+4 d^2}",1,"-((d*E^(a + b*x)*Cos[2*c + 2*d*x])/(b^2 + 4*d^2)) + (b*E^(a + b*x)*Sin[2*c + 2*d*x])/(2*(b^2 + 4*d^2))","A",3,3,20,0.1500,1,"{4469, 12, 4432}"
39,1,119,0,0.0929448,"\int e^{a+b x} \cos (c+d x) \sin ^2(c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]*Sin[c + d*x]^2,x]","\frac{d e^{a+b x} \sin (c+d x)}{4 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \sin (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}+\frac{b e^{a+b x} \cos (c+d x)}{4 \left(b^2+d^2\right)}-\frac{b e^{a+b x} \cos (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}","\frac{d e^{a+b x} \sin (c+d x)}{4 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \sin (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}+\frac{b e^{a+b x} \cos (c+d x)}{4 \left(b^2+d^2\right)}-\frac{b e^{a+b x} \cos (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}",1,"(b*E^(a + b*x)*Cos[c + d*x])/(4*(b^2 + d^2)) - (b*E^(a + b*x)*Cos[3*c + 3*d*x])/(4*(b^2 + 9*d^2)) + (d*E^(a + b*x)*Sin[c + d*x])/(4*(b^2 + d^2)) - (3*d*E^(a + b*x)*Sin[3*c + 3*d*x])/(4*(b^2 + 9*d^2))","A",4,2,22,0.09091,1,"{4469, 4433}"
40,1,129,0,0.0877769,"\int e^{a+b x} \cos (c+d x) \sin ^3(c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]*Sin[c + d*x]^3,x]","\frac{b e^{a+b x} \sin (2 c+2 d x)}{4 \left(b^2+4 d^2\right)}-\frac{b e^{a+b x} \sin (4 c+4 d x)}{8 \left(b^2+16 d^2\right)}-\frac{d e^{a+b x} \cos (2 c+2 d x)}{2 \left(b^2+4 d^2\right)}+\frac{d e^{a+b x} \cos (4 c+4 d x)}{2 \left(b^2+16 d^2\right)}","\frac{b e^{a+b x} \sin (2 c+2 d x)}{4 \left(b^2+4 d^2\right)}-\frac{b e^{a+b x} \sin (4 c+4 d x)}{8 \left(b^2+16 d^2\right)}-\frac{d e^{a+b x} \cos (2 c+2 d x)}{2 \left(b^2+4 d^2\right)}+\frac{d e^{a+b x} \cos (4 c+4 d x)}{2 \left(b^2+16 d^2\right)}",1,"-(d*E^(a + b*x)*Cos[2*c + 2*d*x])/(2*(b^2 + 4*d^2)) + (d*E^(a + b*x)*Cos[4*c + 4*d*x])/(2*(b^2 + 16*d^2)) + (b*E^(a + b*x)*Sin[2*c + 2*d*x])/(4*(b^2 + 4*d^2)) - (b*E^(a + b*x)*Sin[4*c + 4*d*x])/(8*(b^2 + 16*d^2))","A",4,2,22,0.09091,1,"{4469, 4432}"
41,1,119,0,0.0825251,"\int e^{a+b x} \cos ^2(c+d x) \sin (c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]^2*Sin[c + d*x],x]","\frac{b e^{a+b x} \sin (c+d x)}{4 \left(b^2+d^2\right)}+\frac{b e^{a+b x} \sin (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}-\frac{d e^{a+b x} \cos (c+d x)}{4 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \cos (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}","\frac{b e^{a+b x} \sin (c+d x)}{4 \left(b^2+d^2\right)}+\frac{b e^{a+b x} \sin (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}-\frac{d e^{a+b x} \cos (c+d x)}{4 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \cos (3 c+3 d x)}{4 \left(b^2+9 d^2\right)}",1,"-(d*E^(a + b*x)*Cos[c + d*x])/(4*(b^2 + d^2)) - (3*d*E^(a + b*x)*Cos[3*c + 3*d*x])/(4*(b^2 + 9*d^2)) + (b*E^(a + b*x)*Sin[c + d*x])/(4*(b^2 + d^2)) + (b*E^(a + b*x)*Sin[3*c + 3*d*x])/(4*(b^2 + 9*d^2))","A",4,2,22,0.09091,1,"{4469, 4432}"
42,1,79,0,0.0756521,"\int e^{a+b x} \cos ^2(c+d x) \sin ^2(c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]^2*Sin[c + d*x]^2,x]","-\frac{d e^{a+b x} \sin (4 c+4 d x)}{2 \left(b^2+16 d^2\right)}-\frac{b e^{a+b x} \cos (4 c+4 d x)}{8 \left(b^2+16 d^2\right)}+\frac{e^{a+b x}}{8 b}","-\frac{d e^{a+b x} \sin (4 c+4 d x)}{2 \left(b^2+16 d^2\right)}-\frac{b e^{a+b x} \cos (4 c+4 d x)}{8 \left(b^2+16 d^2\right)}+\frac{e^{a+b x}}{8 b}",1,"E^(a + b*x)/(8*b) - (b*E^(a + b*x)*Cos[4*c + 4*d*x])/(8*(b^2 + 16*d^2)) - (d*E^(a + b*x)*Sin[4*c + 4*d*x])/(2*(b^2 + 16*d^2))","A",4,3,24,0.1250,1,"{4469, 2194, 4433}"
43,1,183,0,0.1258886,"\int e^{a+b x} \cos ^2(c+d x) \sin ^3(c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]^2*Sin[c + d*x]^3,x]","\frac{b e^{a+b x} \sin (c+d x)}{8 \left(b^2+d^2\right)}+\frac{b e^{a+b x} \sin (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}-\frac{b e^{a+b x} \sin (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}-\frac{d e^{a+b x} \cos (c+d x)}{8 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \cos (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}+\frac{5 d e^{a+b x} \cos (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}","\frac{b e^{a+b x} \sin (c+d x)}{8 \left(b^2+d^2\right)}+\frac{b e^{a+b x} \sin (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}-\frac{b e^{a+b x} \sin (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}-\frac{d e^{a+b x} \cos (c+d x)}{8 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \cos (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}+\frac{5 d e^{a+b x} \cos (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}",1,"-(d*E^(a + b*x)*Cos[c + d*x])/(8*(b^2 + d^2)) - (3*d*E^(a + b*x)*Cos[3*c + 3*d*x])/(16*(b^2 + 9*d^2)) + (5*d*E^(a + b*x)*Cos[5*c + 5*d*x])/(16*(b^2 + 25*d^2)) + (b*E^(a + b*x)*Sin[c + d*x])/(8*(b^2 + d^2)) + (b*E^(a + b*x)*Sin[3*c + 3*d*x])/(16*(b^2 + 9*d^2)) - (b*E^(a + b*x)*Sin[5*c + 5*d*x])/(16*(b^2 + 25*d^2))","A",5,2,24,0.08333,1,"{4469, 4432}"
44,1,129,0,0.0894424,"\int e^{a+b x} \cos ^3(c+d x) \sin (c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]^3*Sin[c + d*x],x]","\frac{b e^{a+b x} \sin (2 c+2 d x)}{4 \left(b^2+4 d^2\right)}+\frac{b e^{a+b x} \sin (4 c+4 d x)}{8 \left(b^2+16 d^2\right)}-\frac{d e^{a+b x} \cos (2 c+2 d x)}{2 \left(b^2+4 d^2\right)}-\frac{d e^{a+b x} \cos (4 c+4 d x)}{2 \left(b^2+16 d^2\right)}","\frac{b e^{a+b x} \sin (2 c+2 d x)}{4 \left(b^2+4 d^2\right)}+\frac{b e^{a+b x} \sin (4 c+4 d x)}{8 \left(b^2+16 d^2\right)}-\frac{d e^{a+b x} \cos (2 c+2 d x)}{2 \left(b^2+4 d^2\right)}-\frac{d e^{a+b x} \cos (4 c+4 d x)}{2 \left(b^2+16 d^2\right)}",1,"-(d*E^(a + b*x)*Cos[2*c + 2*d*x])/(2*(b^2 + 4*d^2)) - (d*E^(a + b*x)*Cos[4*c + 4*d*x])/(2*(b^2 + 16*d^2)) + (b*E^(a + b*x)*Sin[2*c + 2*d*x])/(4*(b^2 + 4*d^2)) + (b*E^(a + b*x)*Sin[4*c + 4*d*x])/(8*(b^2 + 16*d^2))","A",4,2,22,0.09091,1,"{4469, 4432}"
45,1,183,0,0.1250231,"\int e^{a+b x} \cos ^3(c+d x) \sin ^2(c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]^3*Sin[c + d*x]^2,x]","\frac{d e^{a+b x} \sin (c+d x)}{8 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \sin (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}-\frac{5 d e^{a+b x} \sin (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}+\frac{b e^{a+b x} \cos (c+d x)}{8 \left(b^2+d^2\right)}-\frac{b e^{a+b x} \cos (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}-\frac{b e^{a+b x} \cos (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}","\frac{d e^{a+b x} \sin (c+d x)}{8 \left(b^2+d^2\right)}-\frac{3 d e^{a+b x} \sin (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}-\frac{5 d e^{a+b x} \sin (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}+\frac{b e^{a+b x} \cos (c+d x)}{8 \left(b^2+d^2\right)}-\frac{b e^{a+b x} \cos (3 c+3 d x)}{16 \left(b^2+9 d^2\right)}-\frac{b e^{a+b x} \cos (5 c+5 d x)}{16 \left(b^2+25 d^2\right)}",1,"(b*E^(a + b*x)*Cos[c + d*x])/(8*(b^2 + d^2)) - (b*E^(a + b*x)*Cos[3*c + 3*d*x])/(16*(b^2 + 9*d^2)) - (b*E^(a + b*x)*Cos[5*c + 5*d*x])/(16*(b^2 + 25*d^2)) + (d*E^(a + b*x)*Sin[c + d*x])/(8*(b^2 + d^2)) - (3*d*E^(a + b*x)*Sin[3*c + 3*d*x])/(16*(b^2 + 9*d^2)) - (5*d*E^(a + b*x)*Sin[5*c + 5*d*x])/(16*(b^2 + 25*d^2))","A",5,2,24,0.08333,1,"{4469, 4433}"
46,1,129,0,0.1006329,"\int e^{a+b x} \cos ^3(c+d x) \sin ^3(c+d x) \, dx","Int[E^(a + b*x)*Cos[c + d*x]^3*Sin[c + d*x]^3,x]","\frac{3 b e^{a+b x} \sin (2 c+2 d x)}{32 \left(b^2+4 d^2\right)}-\frac{b e^{a+b x} \sin (6 c+6 d x)}{32 \left(b^2+36 d^2\right)}-\frac{3 d e^{a+b x} \cos (2 c+2 d x)}{16 \left(b^2+4 d^2\right)}+\frac{3 d e^{a+b x} \cos (6 c+6 d x)}{16 \left(b^2+36 d^2\right)}","\frac{3 b e^{a+b x} \sin (2 c+2 d x)}{32 \left(b^2+4 d^2\right)}-\frac{b e^{a+b x} \sin (6 c+6 d x)}{32 \left(b^2+36 d^2\right)}-\frac{3 d e^{a+b x} \cos (2 c+2 d x)}{16 \left(b^2+4 d^2\right)}+\frac{3 d e^{a+b x} \cos (6 c+6 d x)}{16 \left(b^2+36 d^2\right)}",1,"(-3*d*E^(a + b*x)*Cos[2*c + 2*d*x])/(16*(b^2 + 4*d^2)) + (3*d*E^(a + b*x)*Cos[6*c + 6*d*x])/(16*(b^2 + 36*d^2)) + (3*b*E^(a + b*x)*Sin[2*c + 2*d*x])/(32*(b^2 + 4*d^2)) - (b*E^(a + b*x)*Sin[6*c + 6*d*x])/(32*(b^2 + 36*d^2))","A",4,2,24,0.08333,1,"{4469, 4432}"
47,1,30,0,0.0393673,"\int e^x x \sin (x) \, dx","Int[E^x*x*Sin[x],x]","\frac{1}{2} e^x x \sin (x)+\frac{1}{2} e^x \cos (x)-\frac{1}{2} e^x x \cos (x)","\frac{1}{2} e^x x \sin (x)+\frac{1}{2} e^x \cos (x)-\frac{1}{2} e^x x \cos (x)",1,"(E^x*Cos[x])/2 - (E^x*x*Cos[x])/2 + (E^x*x*Sin[x])/2","A",4,3,7,0.4286,1,"{4432, 4465, 4433}"
48,1,50,0,0.1182873,"\int e^x x^2 \sin (x) \, dx","Int[E^x*x^2*Sin[x],x]","\frac{1}{2} e^x x^2 \sin (x)-\frac{1}{2} e^x x^2 \cos (x)-\frac{1}{2} e^x \sin (x)+e^x x \cos (x)-\frac{1}{2} e^x \cos (x)","\frac{1}{2} e^x x^2 \sin (x)-\frac{1}{2} e^x x^2 \cos (x)-\frac{1}{2} e^x \sin (x)+e^x x \cos (x)-\frac{1}{2} e^x \cos (x)",1,"-(E^x*Cos[x])/2 + E^x*x*Cos[x] - (E^x*x^2*Cos[x])/2 - (E^x*Sin[x])/2 + (E^x*x^2*Sin[x])/2","A",11,5,9,0.5556,1,"{4432, 4465, 14, 4433, 4466}"
49,1,30,0,0.0401881,"\int e^x x \cos (x) \, dx","Int[E^x*x*Cos[x],x]","-\frac{1}{2} e^x \sin (x)+\frac{1}{2} e^x x \sin (x)+\frac{1}{2} e^x x \cos (x)","-\frac{1}{2} e^x \sin (x)+\frac{1}{2} e^x x \sin (x)+\frac{1}{2} e^x x \cos (x)",1,"(E^x*x*Cos[x])/2 - (E^x*Sin[x])/2 + (E^x*x*Sin[x])/2","A",4,3,7,0.4286,1,"{4433, 4466, 4432}"
50,1,51,0,0.1174837,"\int e^x x^2 \cos (x) \, dx","Int[E^x*x^2*Cos[x],x]","\frac{1}{2} e^x x^2 \sin (x)+\frac{1}{2} e^x x^2 \cos (x)-e^x x \sin (x)+\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^x \cos (x)","\frac{1}{2} e^x x^2 \sin (x)+\frac{1}{2} e^x x^2 \cos (x)-e^x x \sin (x)+\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^x \cos (x)",1,"-(E^x*Cos[x])/2 + (E^x*x^2*Cos[x])/2 + (E^x*Sin[x])/2 - E^x*x*Sin[x] + (E^x*x^2*Sin[x])/2","A",11,5,9,0.5556,1,"{4433, 4466, 14, 4432, 4465}"
51,1,27,0,0.0801718,"\int e^{3 x} (-5 \cos (4 x)+2 \sin (4 x)) \, dx","Int[E^(3*x)*(-5*Cos[4*x] + 2*Sin[4*x]),x]","-\frac{14}{25} e^{3 x} \sin (4 x)-\frac{23}{25} e^{3 x} \cos (4 x)","-\frac{14}{25} e^{3 x} \sin (4 x)-\frac{23}{25} e^{3 x} \cos (4 x)",1,"(-23*E^(3*x)*Cos[4*x])/25 - (14*E^(3*x)*Sin[4*x])/25","A",4,3,19,0.1579,1,"{6742, 4433, 4432}"
52,1,41,0,0.0252271,"\int \left(e^{-x} \sin (x)+e^x \sin (x)\right) \, dx","Int[Sin[x]/E^x + E^x*Sin[x],x]","-\frac{1}{2} e^{-x} \sin (x)+\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^{-x} \cos (x)-\frac{1}{2} e^x \cos (x)","-\frac{1}{2} e^{-x} \sin (x)+\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^{-x} \cos (x)-\frac{1}{2} e^x \cos (x)",1,"-Cos[x]/(2*E^x) - (E^x*Cos[x])/2 - Sin[x]/(2*E^x) + (E^x*Sin[x])/2","A",3,1,15,0.06667,1,"{4432}"
53,1,82,0,0.1355017,"\int \frac{F^{a+b x} \cos (c+d x)}{e+e \sin (c+d x)} \, dx","Int[(F^(a + b*x)*Cos[c + d*x])/(e + e*Sin[c + d*x]),x]","\frac{i F^{a+b x}}{b e \log (F)}-\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};i e^{i (c+d x)}\right)}{b e \log (F)}","\frac{i F^{a+b x}}{b e \log (F)}-\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};i e^{i (c+d x)}\right)}{b e \log (F)}",1,"(I*F^(a + b*x))/(b*e*Log[F]) - ((2*I)*F^(a + b*x)*Hypergeometric2F1[1, ((-I)*b*Log[F])/d, 1 - (I*b*Log[F])/d, I*E^(I*(c + d*x))])/(b*e*Log[F])","A",5,4,26,0.1538,1,"{4459, 4442, 2194, 2251}"
54,1,82,0,0.1276208,"\int \frac{F^{a+b x} \cos (c+d x)}{e-e \sin (c+d x)} \, dx","Int[(F^(a + b*x)*Cos[c + d*x])/(e - e*Sin[c + d*x]),x]","\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};-i e^{i (c+d x)}\right)}{b e \log (F)}-\frac{i F^{a+b x}}{b e \log (F)}","\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};-i e^{i (c+d x)}\right)}{b e \log (F)}-\frac{i F^{a+b x}}{b e \log (F)}",1,"((-I)*F^(a + b*x))/(b*e*Log[F]) + ((2*I)*F^(a + b*x)*Hypergeometric2F1[1, ((-I)*b*Log[F])/d, 1 - (I*b*Log[F])/d, (-I)*E^(I*(c + d*x))])/(b*e*Log[F])","A",5,4,27,0.1481,1,"{4459, 4442, 2194, 2251}"
55,1,80,0,0.1163746,"\int \frac{F^{a+b x} \sin (c+d x)}{e+e \cos (c+d x)} \, dx","Int[(F^(a + b*x)*Sin[c + d*x])/(e + e*Cos[c + d*x]),x]","\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};-e^{i (c+d x)}\right)}{b e \log (F)}-\frac{i F^{a+b x}}{b e \log (F)}","\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};-e^{i (c+d x)}\right)}{b e \log (F)}-\frac{i F^{a+b x}}{b e \log (F)}",1,"((-I)*F^(a + b*x))/(b*e*Log[F]) + ((2*I)*F^(a + b*x)*Hypergeometric2F1[1, ((-I)*b*Log[F])/d, 1 - (I*b*Log[F])/d, -E^(I*(c + d*x))])/(b*e*Log[F])","A",5,4,26,0.1538,1,"{4460, 4442, 2194, 2251}"
56,1,78,0,0.1178611,"\int \frac{F^{a+b x} \sin (c+d x)}{e-e \cos (c+d x)} \, dx","Int[(F^(a + b*x)*Sin[c + d*x])/(e - e*Cos[c + d*x]),x]","\frac{i F^{a+b x}}{b e \log (F)}-\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};e^{i (c+d x)}\right)}{b e \log (F)}","\frac{i F^{a+b x}}{b e \log (F)}-\frac{2 i F^{a+b x} \, _2F_1\left(1,-\frac{i b \log (F)}{d};1-\frac{i b \log (F)}{d};e^{i (c+d x)}\right)}{b e \log (F)}",1,"(I*F^(a + b*x))/(b*e*Log[F]) - ((2*I)*F^(a + b*x)*Hypergeometric2F1[1, ((-I)*b*Log[F])/d, 1 - (I*b*Log[F])/d, E^(I*(c + d*x))])/(b*e*Log[F])","A",5,4,27,0.1481,1,"{4461, 4443, 2194, 2251}"
57,1,69,0,0.0526159,"\int e^{x^2} \sin (b x) \, dx","Int[E^x^2*Sin[b*x],x]","\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)-\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)","\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)-\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)",1,"(I/4)*E^(b^2/4)*Sqrt[Pi]*Erfi[((-I)*b + 2*x)/2] - (I/4)*E^(b^2/4)*Sqrt[Pi]*Erfi[(I*b + 2*x)/2]","A",6,3,10,0.3000,1,"{4472, 2234, 2204}"
58,1,65,0,0.0473719,"\int e^{x^2} \cos (b x) \, dx","Int[E^x^2*Cos[b*x],x]","\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)+\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)","\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)+\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)",1,"(E^(b^2/4)*Sqrt[Pi]*Erfi[((-I)*b + 2*x)/2])/4 + (E^(b^2/4)*Sqrt[Pi]*Erfi[(I*b + 2*x)/2])/4","A",6,3,10,0.3000,1,"{4473, 2234, 2204}"
59,1,81,0,0.0703958,"\int e^{x^2} \sin (a+b x) \, dx","Int[E^x^2*Sin[a + b*x],x]","\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)-\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)","\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)-\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)",1,"(I/4)*E^((-I)*a + b^2/4)*Sqrt[Pi]*Erfi[((-I)*b + 2*x)/2] - (I/4)*E^(I*a + b^2/4)*Sqrt[Pi]*Erfi[(I*b + 2*x)/2]","A",6,3,12,0.2500,1,"{4472, 2234, 2204}"
60,1,77,0,0.0508698,"\int e^{x^2} \cos (a+b x) \, dx","Int[E^x^2*Cos[a + b*x],x]","\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)+\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)","\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)+\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)",1,"(E^((-I)*a + b^2/4)*Sqrt[Pi]*Erfi[((-I)*b + 2*x)/2])/4 + (E^(I*a + b^2/4)*Sqrt[Pi]*Erfi[(I*b + 2*x)/2])/4","A",6,3,12,0.2500,1,"{4473, 2234, 2204}"
61,1,35,0,0.0774638,"\int e^{2 x^2} x \cos \left(2 x^2\right) \, dx","Int[E^(2*x^2)*x*Cos[2*x^2],x]","\frac{1}{8} e^{2 x^2} \sin \left(2 x^2\right)+\frac{1}{8} e^{2 x^2} \cos \left(2 x^2\right)","\frac{1}{8} e^{2 x^2} \sin \left(2 x^2\right)+\frac{1}{8} e^{2 x^2} \cos \left(2 x^2\right)",1,"(E^(2*x^2)*Cos[2*x^2])/8 + (E^(2*x^2)*Sin[2*x^2])/8","A",2,2,15,0.1333,1,"{6715, 4433}"
62,1,6,0,0.0083315,"\int e^x \sin \left(e^x\right) \, dx","Int[E^x*Sin[E^x],x]","-\cos \left(e^x\right)","-\cos \left(e^x\right)",1,"-Cos[E^x]","A",2,2,8,0.2500,1,"{2282, 2638}"
63,1,5,0,0.0215424,"\int e^x \csc \left(e^x\right) \sec \left(e^x\right) \, dx","Int[E^x*Csc[E^x]*Sec[E^x],x]","\log \left(\tan \left(e^x\right)\right)","\log \left(\tan \left(e^x\right)\right)",1,"Log[Tan[E^x]]","A",3,3,12,0.2500,1,"{2282, 2620, 29}"
64,1,4,0,0.0084126,"\int e^x \cos \left(e^x\right) \, dx","Int[E^x*Cos[E^x],x]","\sin \left(e^x\right)","\sin \left(e^x\right)",1,"Sin[E^x]","A",2,2,8,0.2500,1,"{2282, 2637}"
65,1,10,0,0.0106718,"\int e^{2 x} \cos \left(e^{2 x}\right) \, dx","Int[E^(2*x)*Cos[E^(2*x)],x]","\frac{1}{2} \sin \left(e^{2 x}\right)","\frac{1}{2} \sin \left(e^{2 x}\right)",1,"Sin[E^(2*x)]/2","A",2,2,12,0.1667,1,"{2282, 2637}"
66,1,10,0,0.0104177,"\int e^{-2 x} \cos \left(e^{-2 x}\right) \, dx","Int[Cos[E^(-2*x)]/E^(2*x),x]","-\frac{1}{2} \sin \left(e^{-2 x}\right)","-\frac{1}{2} \sin \left(e^{-2 x}\right)",1,"-Sin[E^(-2*x)]/2","A",2,2,12,0.1667,1,"{2282, 2637}"
67,1,13,0,0.0165981,"\int e^{2 x} \cos \left(e^x\right) \, dx","Int[E^(2*x)*Cos[E^x],x]","e^x \sin \left(e^x\right)+\cos \left(e^x\right)","e^x \sin \left(e^x\right)+\cos \left(e^x\right)",1,"Cos[E^x] + E^x*Sin[E^x]","A",3,3,10,0.3000,1,"{2282, 3296, 2638}"
68,1,30,0,0.0355204,"\int e^{-1+3 x} \cos \left(e^{-1+3 x}\right) \sin \left(1+e^{-1+3 x}\right) \, dx","Int[E^(-1 + 3*x)*Cos[E^(-1 + 3*x)]*Sin[1 + E^(-1 + 3*x)],x]","\frac{1}{6} e^{3 x-1} \sin (1)-\frac{1}{12} \cos \left(2 e^{3 x-1}+1\right)","\frac{1}{6} e^{3 x-1} \sin (1)-\frac{1}{12} \cos \left(2 e^{3 x-1}+1\right)",1,"-Cos[1 + 2*E^(-1 + 3*x)]/12 + (E^(-1 + 3*x)*Sin[1])/6","A",4,3,26,0.1154,1,"{2282, 4574, 2638}"
69,1,7,0,0.0101972,"\int e^x \tan \left(e^x\right) \, dx","Int[E^x*Tan[E^x],x]","-\log \left(\cos \left(e^x\right)\right)","-\log \left(\cos \left(e^x\right)\right)",1,"-Log[Cos[E^x]]","A",2,2,8,0.2500,1,"{2282, 3475}"
70,1,5,0,0.0097277,"\int e^x \sec \left(e^x\right) \, dx","Int[E^x*Sec[E^x],x]","\tanh ^{-1}\left(\sin \left(e^x\right)\right)","\tanh ^{-1}\left(\sin \left(e^x\right)\right)",1,"ArcTanh[Sin[E^x]]","A",2,2,8,0.2500,1,"{2282, 3770}"
71,1,4,0,0.0200626,"\int e^x \sec \left(e^x\right) \tan \left(e^x\right) \, dx","Int[E^x*Sec[E^x]*Tan[E^x],x]","\sec \left(e^x\right)","\sec \left(e^x\right)",1,"Sec[E^x]","A",3,3,12,0.2500,1,"{2282, 2606, 8}"
72,1,6,0,0.0174201,"\int e^x \csc ^2\left(e^x\right) \, dx","Int[E^x*Csc[E^x]^2,x]","-\cot \left(e^x\right)","-\cot \left(e^x\right)",1,"-Cot[E^x]","A",3,3,10,0.3000,1,"{2282, 3767, 8}"
73,1,37,0,0.0129877,"\int e^x \sin (a+b x) \, dx","Int[E^x*Sin[a + b*x],x]","\frac{e^x \sin (a+b x)}{b^2+1}-\frac{b e^x \cos (a+b x)}{b^2+1}","\frac{e^x \sin (a+b x)}{b^2+1}-\frac{b e^x \cos (a+b x)}{b^2+1}",1,"-((b*E^x*Cos[a + b*x])/(1 + b^2)) + (E^x*Sin[a + b*x])/(1 + b^2)","A",1,1,10,0.1000,1,"{4432}"
74,1,115,0,0.1230322,"\int e^x \sin \left(a+c x^2\right) \, dx","Int[E^x*Sin[a + c*x^2],x]","\frac{(-1)^{3/4} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (1+2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{(-1)^{3/4} \sqrt{\pi } e^{-\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (1-2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","\frac{(-1)^{3/4} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (1+2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{(-1)^{3/4} \sqrt{\pi } e^{-\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (1-2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"((-1)^(3/4)*E^((I/4)*(4*a + c^(-1)))*Sqrt[Pi]*Erf[((-1)^(1/4)*(1 + (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c]) + ((-1)^(3/4)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(1 - (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c]*E^((I/4)*(4*a + c^(-1))))","A",6,4,12,0.3333,1,"{4472, 2234, 2204, 2205}"
75,1,144,0,0.2161956,"\int e^x \sin \left(a+b x+c x^2\right) \, dx","Int[E^x*Sin[a + b*x + c*x^2],x]","\frac{(-1)^{3/4} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{(1+i b)^2}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (i b+2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{(-1)^{3/4} \sqrt{\pi } e^{\frac{i (b+i)^2}{4 c}-i a} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-i b-2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","\frac{(-1)^{3/4} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{(1+i b)^2}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (i b+2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{(-1)^{3/4} \sqrt{\pi } e^{\frac{i (b+i)^2}{4 c}-i a} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-i b-2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"((-1)^(3/4)*E^((I/4)*(4*a + (1 + I*b)^2/c))*Sqrt[Pi]*Erf[((-1)^(1/4)*(1 + I*b + (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c]) + ((-1)^(3/4)*E^((-I)*a + ((I/4)*(I + b)^2)/c)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(1 - I*b - (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c])","A",6,4,15,0.2667,1,"{4472, 2234, 2204, 2205}"
76,1,81,0,0.0549439,"\int e^{x^2} \sin (a+b x) \, dx","Int[E^x^2*Sin[a + b*x],x]","\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)-\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)","\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)-\frac{1}{4} i \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)",1,"(I/4)*E^((-I)*a + b^2/4)*Sqrt[Pi]*Erfi[((-I)*b + 2*x)/2] - (I/4)*E^(I*a + b^2/4)*Sqrt[Pi]*Erfi[(I*b + 2*x)/2]","A",6,3,12,0.2500,1,"{4472, 2234, 2204}"
77,1,87,0,0.0984525,"\int e^{x^2} \sin \left(a+c x^2\right) \, dx","Int[E^x^2*Sin[a + c*x^2],x]","\frac{i \sqrt{\pi } e^{-i a} \text{Erfi}\left(\sqrt{1-i c} x\right)}{4 \sqrt{1-i c}}-\frac{i \sqrt{\pi } e^{i a} \text{Erfi}\left(\sqrt{1+i c} x\right)}{4 \sqrt{1+i c}}","\frac{i \sqrt{\pi } e^{-i a} \text{Erfi}\left(\sqrt{1-i c} x\right)}{4 \sqrt{1-i c}}-\frac{i \sqrt{\pi } e^{i a} \text{Erfi}\left(\sqrt{1+i c} x\right)}{4 \sqrt{1+i c}}",1,"((I/4)*Sqrt[Pi]*Erfi[Sqrt[1 - I*c]*x])/(Sqrt[1 - I*c]*E^(I*a)) - ((I/4)*E^(I*a)*Sqrt[Pi]*Erfi[Sqrt[1 + I*c]*x])/Sqrt[1 + I*c]","A",4,2,14,0.1429,1,"{4472, 2204}"
78,1,155,0,0.2019965,"\int e^{x^2} \sin \left(a+b x+c x^2\right) \, dx","Int[E^x^2*Sin[a + b*x + c*x^2],x]","-\frac{i \sqrt{\pi } e^{-i \left(a-\frac{b^2}{4 c+4 i}\right)} \text{Erfi}\left(\frac{i b-2 (1-i c) x}{2 \sqrt{1-i c}}\right)}{4 \sqrt{1-i c}}-\frac{i \sqrt{\pi } e^{i a+\frac{b^2}{4 (1+i c)}} \text{Erfi}\left(\frac{i b+2 (1+i c) x}{2 \sqrt{1+i c}}\right)}{4 \sqrt{1+i c}}","-\frac{i \sqrt{\pi } e^{-i \left(a-\frac{b^2}{4 c+4 i}\right)} \text{Erfi}\left(\frac{i b-2 (1-i c) x}{2 \sqrt{1-i c}}\right)}{4 \sqrt{1-i c}}-\frac{i \sqrt{\pi } e^{i a+\frac{b^2}{4 (1+i c)}} \text{Erfi}\left(\frac{i b+2 (1+i c) x}{2 \sqrt{1+i c}}\right)}{4 \sqrt{1+i c}}",1,"((-I/4)*Sqrt[Pi]*Erfi[(I*b - 2*(1 - I*c)*x)/(2*Sqrt[1 - I*c])])/(Sqrt[1 - I*c]*E^(I*(a - b^2/(4*I + 4*c)))) - ((I/4)*E^(I*a + b^2/(4*(1 + I*c)))*Sqrt[Pi]*Erfi[(I*b + 2*(1 + I*c)*x)/(2*Sqrt[1 + I*c])])/Sqrt[1 + I*c]","A",6,3,17,0.1765,1,"{4472, 2234, 2204}"
79,1,142,0,0.2104871,"\int f^{a+b x} \sin \left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Sin[d + f*x^2],x]","\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)","\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)",1,"((-1)^(3/4)*E^((I/4)*(4*d + (b^2*Log[f]^2)/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*((2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/4 - ((-1)^(3/4)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*((2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/(4*E^((I/4)*(4*d + (b^2*Log[f]^2)/f)))","A",8,5,16,0.3125,1,"{4472, 2287, 2234, 2204, 2205}"
80,1,157,0,0.2030781,"\int f^{a+b x} \sin ^2\left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Sin[d + f*x^2]^2,x]","\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+4 i f x)}{\sqrt{f}}\right)+\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{8} i \left(\frac{b^2 \log ^2(f)}{f}+16 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}","\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+4 i f x)}{\sqrt{f}}\right)+\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{8} i \left(\frac{b^2 \log ^2(f)}{f}+16 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}",1,"(1/16 + I/16)*E^((2*I)*d + ((I/8)*b^2*Log[f]^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erf[((1/4 + I/4)*((4*I)*f*x + b*Log[f]))/Sqrt[f]] + ((1/16 + I/16)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((1/4 + I/4)*((4*I)*f*x - b*Log[f]))/Sqrt[f]])/E^((I/8)*(16*d + (b^2*Log[f]^2)/f)) + f^(a + b*x)/(2*b*Log[f])","A",9,6,18,0.3333,1,"{4472, 2194, 2287, 2234, 2204, 2205}"
81,1,298,0,0.3665466,"\int f^{a+b x} \sin ^3\left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Sin[d + f*x^2]^3,x]","\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)+\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{-\frac{1}{12} i \left(\frac{b^2 \log ^2(f)}{f}+36 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)","\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)+\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{-\frac{1}{12} i \left(\frac{b^2 \log ^2(f)}{f}+36 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)",1,"(3*(-1)^(3/4)*E^((I/4)*(4*d + (b^2*Log[f]^2)/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*((2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/16 + (1/16 - I/16)*E^((3*I)*d + ((I/12)*b^2*Log[f]^2)/f)*f^(-1/2 + a)*Sqrt[Pi/6]*Erf[((1/2 + I/2)*((6*I)*f*x + b*Log[f]))/(Sqrt[6]*Sqrt[f])] - (3*(-1)^(3/4)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*((2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/(16*E^((I/4)*(4*d + (b^2*Log[f]^2)/f))) - ((1/16 - I/16)*f^(-1/2 + a)*Sqrt[Pi/6]*Erfi[((1/2 + I/2)*((6*I)*f*x - b*Log[f]))/(Sqrt[6]*Sqrt[f])])/E^((I/12)*(36*d + (b^2*Log[f]^2)/f))","A",14,5,18,0.2778,1,"{4472, 2287, 2234, 2204, 2205}"
82,1,162,0,0.3336092,"\int f^{a+b x} \sin \left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Sin[d + e*x + f*x^2],x]","\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)","\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)",1,"((-1)^(3/4)*E^((I/4)*(4*d + (I*e + b*Log[f])^2/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*(I*e + (2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/4 - ((-1)^(3/4)*E^((-I)*d + ((I/4)*(e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(I*e + (2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/4","A",8,5,19,0.2632,1,"{4472, 2287, 2234, 2204, 2205}"
83,1,179,0,0.3522112,"\int f^{a+b x} \sin ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Sin[d + e*x + f*x^2]^2,x]","\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+2 i e)^2}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)+\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (2 e+i b \log (f))^2}{8 f}-2 i d} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}","\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+2 i e)^2}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)+\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (2 e+i b \log (f))^2}{8 f}-2 i d} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}",1,"(1/16 + I/16)*E^((2*I)*d + ((I/8)*((2*I)*e + b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erf[((1/4 + I/4)*((2*I)*e + (4*I)*f*x + b*Log[f]))/Sqrt[f]] + (1/16 + I/16)*E^((-2*I)*d + ((I/8)*(2*e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((1/4 + I/4)*((2*I)*e + (4*I)*f*x - b*Log[f]))/Sqrt[f]] + f^(a + b*x)/(2*b*Log[f])","A",9,6,21,0.2857,1,"{4472, 2194, 2287, 2234, 2204, 2205}"
84,1,340,0,0.6018269,"\int f^{a+b x} \sin ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Sin[d + e*x + f*x^2]^3,x]","\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)+\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+3 i e)^2}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (3 e+i b \log (f))^2}{12 f}-3 i d} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)","\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)+\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+3 i e)^2}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} (-1)^{3/4} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}-\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (3 e+i b \log (f))^2}{12 f}-3 i d} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)",1,"(3*(-1)^(3/4)*E^((I/4)*(4*d + (I*e + b*Log[f])^2/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*(I*e + (2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/16 + (1/16 - I/16)*E^((3*I)*d + ((I/12)*((3*I)*e + b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi/6]*Erf[((1/2 + I/2)*((3*I)*e + (6*I)*f*x + b*Log[f]))/(Sqrt[6]*Sqrt[f])] - (3*(-1)^(3/4)*E^((-I)*d + ((I/4)*(e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(I*e + (2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/16 - (1/16 - I/16)*E^((-3*I)*d + ((I/12)*(3*e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi/6]*Erfi[((1/2 + I/2)*((3*I)*e + (6*I)*f*x - b*Log[f]))/(Sqrt[6]*Sqrt[f])]","A",14,5,21,0.2381,1,"{4472, 2287, 2234, 2204, 2205}"
85,1,151,0,0.2072805,"\int f^{a+c x^2} \sin (d+e x) \, dx","Int[f^(a + c*x^2)*Sin[d + e*x],x]","-\frac{i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"((-I/4)*E^((-I)*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) - ((I/4)*E^(I*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]])","A",8,4,16,0.2500,1,"{4472, 2287, 2234, 2204}"
86,1,171,0,0.2179427,"\int f^{a+c x^2} \sin ^2(d+e x) \, dx","Int[f^(a + c*x^2)*Sin[d + e*x]^2,x]","\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}-2 i d} \text{Erfi}\left(\frac{-c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}+2 i d} \text{Erfi}\left(\frac{c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}-2 i d} \text{Erfi}\left(\frac{-c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}+2 i d} \text{Erfi}\left(\frac{c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^((-2*I)*d + e^2/(c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - c*x*Log[f])/(Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]]) - (E^((2*I)*d + e^2/(c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + c*x*Log[f])/(Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]])","A",9,4,18,0.2222,1,"{4472, 2204, 2287, 2234}"
87,1,301,0,0.3458591,"\int f^{a+c x^2} \sin ^3(d+e x) \, dx","Int[f^(a + c*x^2)*Sin[d + e*x]^3,x]","-\frac{3 i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}+3 i d} \text{Erfi}\left(\frac{2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}","-\frac{3 i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}+3 i d} \text{Erfi}\left(\frac{2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}",1,"(((-3*I)/16)*E^((-I)*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) + ((I/16)*E^((-3*I)*d + (9*e^2)/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) - (((3*I)/16)*E^(I*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) + ((I/16)*E^((3*I)*d + (9*e^2)/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]])","A",14,4,18,0.2222,1,"{4472, 2287, 2234, 2204}"
88,1,107,0,0.1981377,"\int f^{a+c x^2} \sin \left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sin[d + f*x^2],x]","\frac{i \sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{4 \sqrt{c \log (f)+i f}}","\frac{i \sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{4 \sqrt{c \log (f)+i f}}",1,"((I/4)*f^a*Sqrt[Pi]*Erf[x*Sqrt[I*f - c*Log[f]]])/(E^(I*d)*Sqrt[I*f - c*Log[f]]) - ((I/4)*E^(I*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[I*f + c*Log[f]]])/Sqrt[I*f + c*Log[f]]","A",6,4,18,0.2222,1,"{4472, 2287, 2205, 2204}"
89,1,140,0,0.227606,"\int f^{a+c x^2} \sin ^2\left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sin[d + f*x^2]^2,x]","-\frac{\sqrt{\pi } e^{-2 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+2 i f}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } e^{2 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+2 i f}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{\sqrt{\pi } e^{-2 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+2 i f}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } e^{2 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+2 i f}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) - (f^a*Sqrt[Pi]*Erf[x*Sqrt[(2*I)*f - c*Log[f]]])/(8*E^((2*I)*d)*Sqrt[(2*I)*f - c*Log[f]]) - (E^((2*I)*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[(2*I)*f + c*Log[f]]])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",7,4,20,0.2000,1,"{4472, 2204, 2287, 2205}"
90,1,213,0,0.3323177,"\int f^{a+c x^2} \sin ^3\left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sin[d + f*x^2]^3,x]","\frac{3 i \sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } e^{-3 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+3 i f}\right)}{16 \sqrt{-c \log (f)+3 i f}}-\frac{3 i \sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{i \sqrt{\pi } e^{3 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+3 i f}\right)}{16 \sqrt{c \log (f)+3 i f}}","\frac{3 i \sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } e^{-3 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+3 i f}\right)}{16 \sqrt{-c \log (f)+3 i f}}-\frac{3 i \sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{i \sqrt{\pi } e^{3 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+3 i f}\right)}{16 \sqrt{c \log (f)+3 i f}}",1,"(((3*I)/16)*f^a*Sqrt[Pi]*Erf[x*Sqrt[I*f - c*Log[f]]])/(E^(I*d)*Sqrt[I*f - c*Log[f]]) - ((I/16)*f^a*Sqrt[Pi]*Erf[x*Sqrt[(3*I)*f - c*Log[f]]])/(E^((3*I)*d)*Sqrt[(3*I)*f - c*Log[f]]) - (((3*I)/16)*E^(I*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[I*f + c*Log[f]]])/Sqrt[I*f + c*Log[f]] + ((I/16)*E^((3*I)*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[(3*I)*f + c*Log[f]]])/Sqrt[(3*I)*f + c*Log[f]]","A",10,4,20,0.2000,1,"{4472, 2287, 2205, 2204}"
91,1,187,0,0.3667477,"\int f^{a+c x^2} \sin \left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sin[d + e*x + f*x^2],x]","\frac{i \sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}","\frac{i \sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}",1,"((I/4)*E^((-I)*d - e^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/Sqrt[I*f - c*Log[f]] - ((I/4)*E^(I*d + e^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/Sqrt[I*f + c*Log[f]]","A",8,5,21,0.2381,1,"{4472, 2287, 2234, 2205, 2204}"
92,1,211,0,0.4185728,"\int f^{a+c x^2} \sin ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sin[d + e*x + f*x^2]^2,x]","-\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{-c \log (f)+2 i f}-2 i d} \text{Erf}\left(\frac{x (-c \log (f)+2 i f)+i e}{\sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)+2 i f}+2 i d} \text{Erfi}\left(\frac{x (c \log (f)+2 i f)+i e}{\sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{-c \log (f)+2 i f}-2 i d} \text{Erf}\left(\frac{x (-c \log (f)+2 i f)+i e}{\sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)+2 i f}+2 i d} \text{Erfi}\left(\frac{x (c \log (f)+2 i f)+i e}{\sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^((-2*I)*d - e^2/((2*I)*f - c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e + x*((2*I)*f - c*Log[f]))/Sqrt[(2*I)*f - c*Log[f]]])/(8*Sqrt[(2*I)*f - c*Log[f]]) - (E^((2*I)*d + e^2/((2*I)*f + c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + x*((2*I)*f + c*Log[f]))/Sqrt[(2*I)*f + c*Log[f]]])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",9,5,23,0.2174,1,"{4472, 2204, 2287, 2234, 2205}"
93,1,377,0,0.6554143,"\int f^{a+c x^2} \sin ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Sin[d + e*x + f*x^2]^3,x]","-\frac{i \sqrt{\pi } f^a \exp \left(-\frac{9 e^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 i \sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{3 i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{i \sqrt{\pi } f^a e^{\frac{9 e^2}{4 (c \log (f)+3 i f)}+3 i d} \text{Erfi}\left(\frac{2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}","-\frac{i \sqrt{\pi } f^a \exp \left(-\frac{9 e^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 i \sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{3 i \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{i \sqrt{\pi } f^a e^{\frac{9 e^2}{4 (c \log (f)+3 i f)}+3 i d} \text{Erfi}\left(\frac{2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}",1,"(((3*I)/16)*E^((-I)*d - e^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/Sqrt[I*f - c*Log[f]] - ((I/16)*E^((-3*I)*d - (9*e^2)/(4*((3*I)*f - c*Log[f])))*f^a*Sqrt[Pi]*Erf[((3*I)*e + 2*x*((3*I)*f - c*Log[f]))/(2*Sqrt[(3*I)*f - c*Log[f]])])/Sqrt[(3*I)*f - c*Log[f]] - (((3*I)/16)*E^(I*d + e^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/Sqrt[I*f + c*Log[f]] + ((I/16)*E^((3*I)*d + (9*e^2)/(4*((3*I)*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + 2*x*((3*I)*f + c*Log[f]))/(2*Sqrt[(3*I)*f + c*Log[f]])])/Sqrt[(3*I)*f + c*Log[f]]","A",14,5,23,0.2174,1,"{4472, 2287, 2234, 2205, 2204}"
94,1,176,0,0.3346566,"\int f^{a+b x+c x^2} \sin (d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + e*x],x]","-\frac{i \sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{i \sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{i \sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{i \sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"((-I/4)*E^((-I)*d + (e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) - ((I/4)*E^(I*d + (e - I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]])","A",8,4,19,0.2105,1,"{4472, 2287, 2234, 2204}"
95,1,231,0,0.3825826,"\int f^{a+b x+c x^2} \sin ^2(d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + e*x]^2,x]","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{(2 e+i b \log (f))^2}{4 c \log (f)}-2 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{2 i d-\frac{(b \log (f)+2 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{(2 e+i b \log (f))^2}{4 c \log (f)}-2 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{2 i d-\frac{(b \log (f)+2 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}",1,"(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^((-2*I)*d + (2*e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((2*I)*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]]) - (E^((2*I)*d - ((2*I)*e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((2*I)*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]])","A",10,4,21,0.1905,1,"{4472, 2234, 2204, 2287}"
96,1,354,0,0.4897453,"\int f^{a+b x+c x^2} \sin ^3(d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + e*x]^3,x]","-\frac{3 i \sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{\frac{(3 e+i b \log (f))^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 i \sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{3 i d-\frac{(b \log (f)+3 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}","-\frac{3 i \sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{\frac{(3 e+i b \log (f))^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{3 i \sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{i \sqrt{\pi } f^a e^{3 i d-\frac{(b \log (f)+3 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}",1,"(((-3*I)/16)*E^((-I)*d + (e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) + ((I/16)*E^((-3*I)*d + (3*e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) - (((3*I)/16)*E^(I*d + (e - I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]]) + ((I/16)*E^((3*I)*d - ((3*I)*e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(Sqrt[c]*Sqrt[Log[f]])","A",14,4,21,0.1905,1,"{4472, 2287, 2234, 2204}"
97,1,193,0,0.3849915,"\int f^{a+b x+c x^2} \sin \left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + f*x^2],x]","-\frac{i \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}","-\frac{i \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}",1,"((-I/4)*E^((-I)*d + (b^2*Log[f]^2)/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/Sqrt[I*f - c*Log[f]] - ((I/4)*E^(I*d - (b^2*Log[f]^2)/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/Sqrt[I*f + c*Log[f]]","A",8,5,21,0.2381,1,"{4472, 2287, 2234, 2205, 2204}"
98,1,245,0,0.4620387,"\int f^{a+b x+c x^2} \sin ^2\left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + f*x^2]^2,x]","\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+8 i f}-2 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+2 i f)}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } f^a e^{2 i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+8 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+8 i f}-2 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+2 i f)}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } f^a e^{2 i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+8 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^((-2*I)*d + (b^2*Log[f]^2)/((8*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*((2*I)*f - c*Log[f]))/(2*Sqrt[(2*I)*f - c*Log[f]])])/(8*Sqrt[(2*I)*f - c*Log[f]]) - (E^((2*I)*d - (b^2*Log[f]^2)/((8*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*((2*I)*f + c*Log[f]))/(2*Sqrt[(2*I)*f + c*Log[f]])])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",10,5,23,0.2174,1,"{4472, 2234, 2204, 2287, 2205}"
99,1,386,0,0.5725574,"\int f^{a+b x+c x^2} \sin ^3\left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + f*x^2]^3,x]","-\frac{3 i \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{i \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+12 i f}-3 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+3 i f)}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{i \sqrt{\pi } f^a \exp \left(3 i d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}-\frac{3 i \sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}","-\frac{3 i \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{i \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+12 i f}-3 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+3 i f)}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{i \sqrt{\pi } f^a \exp \left(3 i d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}-\frac{3 i \sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}",1,"(((-3*I)/16)*E^((-I)*d + (b^2*Log[f]^2)/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/Sqrt[I*f - c*Log[f]] + ((I/16)*E^((-3*I)*d + (b^2*Log[f]^2)/((12*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*((3*I)*f - c*Log[f]))/(2*Sqrt[(3*I)*f - c*Log[f]])])/Sqrt[(3*I)*f - c*Log[f]] - (((3*I)/16)*E^(I*d - (b^2*Log[f]^2)/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/Sqrt[I*f + c*Log[f]] + ((I/16)*E^((3*I)*d - (b^2*Log[f]^2)/(4*((3*I)*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*((3*I)*f + c*Log[f]))/(2*Sqrt[(3*I)*f + c*Log[f]])])/Sqrt[(3*I)*f + c*Log[f]]","A",14,5,23,0.2174,1,"{4472, 2287, 2234, 2205, 2204}"
100,1,212,0,0.5663771,"\int f^{a+b x+c x^2} \sin \left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + e*x + f*x^2],x]","\frac{i \sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}","\frac{i \sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}",1,"((I/4)*E^((-I)*d - (e + I*b*Log[f])^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e - b*Log[f] + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/Sqrt[I*f - c*Log[f]] - ((I/4)*E^(I*d + (e - I*b*Log[f])^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/Sqrt[I*f + c*Log[f]]","A",8,5,24,0.2083,1,"{4472, 2287, 2234, 2205, 2204}"
101,1,268,0,0.6455539,"\int f^{a+b x+c x^2} \sin ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + e*x + f*x^2]^2,x]","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a \exp \left(-\frac{(2 e+i b \log (f))^2}{-4 c \log (f)+8 i f}-2 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+2 i f)+2 i e}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } f^a \exp \left(\frac{(2 e-i b \log (f))^2}{4 c \log (f)+8 i f}+2 i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)+2 i e}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a \exp \left(-\frac{(2 e+i b \log (f))^2}{-4 c \log (f)+8 i f}-2 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+2 i f)+2 i e}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}-\frac{\sqrt{\pi } f^a \exp \left(\frac{(2 e-i b \log (f))^2}{4 c \log (f)+8 i f}+2 i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)+2 i e}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}",1,"(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^((-2*I)*d - (2*e + I*b*Log[f])^2/((8*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[((2*I)*e - b*Log[f] + 2*x*((2*I)*f - c*Log[f]))/(2*Sqrt[(2*I)*f - c*Log[f]])])/(8*Sqrt[(2*I)*f - c*Log[f]]) - (E^((2*I)*d + (2*e - I*b*Log[f])^2/((8*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((2*I)*e + b*Log[f] + 2*x*((2*I)*f + c*Log[f]))/(2*Sqrt[(2*I)*f + c*Log[f]])])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",10,5,26,0.1923,1,"{4472, 2234, 2204, 2287, 2205}"
102,1,430,0,0.910781,"\int f^{a+b x+c x^2} \sin ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sin[d + e*x + f*x^2]^3,x]","\frac{3 i \sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a \exp \left(-\frac{(3 e+i b \log (f))^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}-\frac{3 i \sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{i \sqrt{\pi } f^a \exp \left(3 i d-\frac{(b \log (f)+3 i e)^2}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}","\frac{3 i \sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{i \sqrt{\pi } f^a \exp \left(-\frac{(3 e+i b \log (f))^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}-\frac{3 i \sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{i \sqrt{\pi } f^a \exp \left(3 i d-\frac{(b \log (f)+3 i e)^2}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}",1,"(((3*I)/16)*E^((-I)*d - (e + I*b*Log[f])^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e - b*Log[f] + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/Sqrt[I*f - c*Log[f]] - ((I/16)*E^((-3*I)*d - (3*e + I*b*Log[f])^2/(4*((3*I)*f - c*Log[f])))*f^a*Sqrt[Pi]*Erf[((3*I)*e - b*Log[f] + 2*x*((3*I)*f - c*Log[f]))/(2*Sqrt[(3*I)*f - c*Log[f]])])/Sqrt[(3*I)*f - c*Log[f]] - (((3*I)/16)*E^(I*d + (e - I*b*Log[f])^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/Sqrt[I*f + c*Log[f]] + ((I/16)*E^((3*I)*d - ((3*I)*e + b*Log[f])^2/(4*((3*I)*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + b*Log[f] + 2*x*((3*I)*f + c*Log[f]))/(2*Sqrt[(3*I)*f + c*Log[f]])])/Sqrt[(3*I)*f + c*Log[f]]","A",14,5,26,0.1923,1,"{4472, 2287, 2234, 2205, 2204}"
103,1,213,0,0.7952158,"\int f^{a+b x+c x^2} \sin \left(a+b x+e x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Sin[a + b*x + e*x^2],x]","\frac{i \sqrt{\pi } \exp \left(-(-\log (f)+i) \left(a-\frac{b^2 (-\log (f)+i)}{-4 c \log (f)+4 i e}\right)\right) \text{Erf}\left(\frac{b (-\log (f)+i)+2 x (-c \log (f)+i e)}{2 \sqrt{-c \log (f)+i e}}\right)}{4 \sqrt{-c \log (f)+i e}}-\frac{i \sqrt{\pi } \exp \left((\log (f)+i) \left(a-\frac{b^2 (\log (f)+i)}{4 c \log (f)+4 i e}\right)\right) \text{Erfi}\left(\frac{b (\log (f)+i)+2 x (c \log (f)+i e)}{2 \sqrt{c \log (f)+i e}}\right)}{4 \sqrt{c \log (f)+i e}}","\frac{i \sqrt{\pi } \exp \left(-(-\log (f)+i) \left(a-\frac{b^2 (-\log (f)+i)}{-4 c \log (f)+4 i e}\right)\right) \text{Erf}\left(\frac{b (-\log (f)+i)+2 x (-c \log (f)+i e)}{2 \sqrt{-c \log (f)+i e}}\right)}{4 \sqrt{-c \log (f)+i e}}-\frac{i \sqrt{\pi } \exp \left((\log (f)+i) \left(a-\frac{b^2 (\log (f)+i)}{4 c \log (f)+4 i e}\right)\right) \text{Erfi}\left(\frac{b (\log (f)+i)+2 x (c \log (f)+i e)}{2 \sqrt{c \log (f)+i e}}\right)}{4 \sqrt{c \log (f)+i e}}",1,"((I/4)*Sqrt[Pi]*Erf[(b*(I - Log[f]) + 2*x*(I*e - c*Log[f]))/(2*Sqrt[I*e - c*Log[f]])])/(E^((I - Log[f])*(a - (b^2*(I - Log[f]))/((4*I)*e - 4*c*Log[f])))*Sqrt[I*e - c*Log[f]]) - ((I/4)*E^((I + Log[f])*(a - (b^2*(I + Log[f]))/((4*I)*e + 4*c*Log[f])))*Sqrt[Pi]*Erfi[(b*(I + Log[f]) + 2*x*(I*e + c*Log[f]))/(2*Sqrt[I*e + c*Log[f]])])/Sqrt[I*e + c*Log[f]]","A",8,5,24,0.2083,1,"{4472, 2287, 2234, 2205, 2204}"
104,1,36,0,0.0123241,"\int e^x \cos (a+b x) \, dx","Int[E^x*Cos[a + b*x],x]","\frac{b e^x \sin (a+b x)}{b^2+1}+\frac{e^x \cos (a+b x)}{b^2+1}","\frac{b e^x \sin (a+b x)}{b^2+1}+\frac{e^x \cos (a+b x)}{b^2+1}",1,"(E^x*Cos[a + b*x])/(1 + b^2) + (b*E^x*Sin[a + b*x])/(1 + b^2)","A",1,1,10,0.1000,1,"{4433}"
105,1,115,0,0.09922,"\int e^x \cos \left(a+c x^2\right) \, dx","Int[E^x*Cos[a + c*x^2],x]","\frac{\sqrt[4]{-1} \sqrt{\pi } e^{-\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (1-2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt[4]{-1} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (1+2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","\frac{\sqrt[4]{-1} \sqrt{\pi } e^{-\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (1-2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt[4]{-1} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{1}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (1+2 i c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"-((-1)^(1/4)*E^((I/4)*(4*a + c^(-1)))*Sqrt[Pi]*Erf[((-1)^(1/4)*(1 + (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c]) + ((-1)^(1/4)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(1 - (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c]*E^((I/4)*(4*a + c^(-1))))","A",6,4,12,0.3333,1,"{4473, 2234, 2204, 2205}"
106,1,144,0,0.168718,"\int e^x \cos \left(a+b x+c x^2\right) \, dx","Int[E^x*Cos[a + b*x + c*x^2],x]","\frac{\sqrt[4]{-1} \sqrt{\pi } e^{\frac{i (b+i)^2}{4 c}-i a} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-i b-2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt[4]{-1} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{(1+i b)^2}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (i b+2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","\frac{\sqrt[4]{-1} \sqrt{\pi } e^{\frac{i (b+i)^2}{4 c}-i a} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-i b-2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt[4]{-1} \sqrt{\pi } e^{\frac{1}{4} i \left(4 a+\frac{(1+i b)^2}{c}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (i b+2 i c x+1)}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"-((-1)^(1/4)*E^((I/4)*(4*a + (1 + I*b)^2/c))*Sqrt[Pi]*Erf[((-1)^(1/4)*(1 + I*b + (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c]) + ((-1)^(1/4)*E^((-I)*a + ((I/4)*(I + b)^2)/c)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(1 - I*b - (2*I)*c*x))/(2*Sqrt[c])])/(4*Sqrt[c])","A",6,4,15,0.2667,1,"{4473, 2234, 2204, 2205}"
107,1,77,0,0.0567589,"\int e^{x^2} \cos (a+b x) \, dx","Int[E^x^2*Cos[a + b*x],x]","\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)+\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)","\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}-i a} \text{Erfi}\left(\frac{1}{2} (2 x-i b)\right)+\frac{1}{4} \sqrt{\pi } e^{\frac{b^2}{4}+i a} \text{Erfi}\left(\frac{1}{2} (2 x+i b)\right)",1,"(E^((-I)*a + b^2/4)*Sqrt[Pi]*Erfi[((-I)*b + 2*x)/2])/4 + (E^(I*a + b^2/4)*Sqrt[Pi]*Erfi[(I*b + 2*x)/2])/4","A",6,3,12,0.2500,1,"{4473, 2234, 2204}"
108,1,83,0,0.078642,"\int e^{x^2} \cos \left(a+c x^2\right) \, dx","Int[E^x^2*Cos[a + c*x^2],x]","\frac{\sqrt{\pi } e^{-i a} \text{Erfi}\left(\sqrt{1-i c} x\right)}{4 \sqrt{1-i c}}+\frac{\sqrt{\pi } e^{i a} \text{Erfi}\left(\sqrt{1+i c} x\right)}{4 \sqrt{1+i c}}","\frac{\sqrt{\pi } e^{-i a} \text{Erfi}\left(\sqrt{1-i c} x\right)}{4 \sqrt{1-i c}}+\frac{\sqrt{\pi } e^{i a} \text{Erfi}\left(\sqrt{1+i c} x\right)}{4 \sqrt{1+i c}}",1,"(Sqrt[Pi]*Erfi[Sqrt[1 - I*c]*x])/(4*Sqrt[1 - I*c]*E^(I*a)) + (E^(I*a)*Sqrt[Pi]*Erfi[Sqrt[1 + I*c]*x])/(4*Sqrt[1 + I*c])","A",4,2,14,0.1429,1,"{4473, 2204}"
109,1,151,0,0.1722377,"\int e^{x^2} \cos \left(a+b x+c x^2\right) \, dx","Int[E^x^2*Cos[a + b*x + c*x^2],x]","\frac{\sqrt{\pi } e^{i a+\frac{b^2}{4 (1+i c)}} \text{Erfi}\left(\frac{i b+2 (1+i c) x}{2 \sqrt{1+i c}}\right)}{4 \sqrt{1+i c}}-\frac{\sqrt{\pi } e^{-i \left(a-\frac{b^2}{4 c+4 i}\right)} \text{Erfi}\left(\frac{i b-2 (1-i c) x}{2 \sqrt{1-i c}}\right)}{4 \sqrt{1-i c}}","\frac{\sqrt{\pi } e^{i a+\frac{b^2}{4 (1+i c)}} \text{Erfi}\left(\frac{i b+2 (1+i c) x}{2 \sqrt{1+i c}}\right)}{4 \sqrt{1+i c}}-\frac{\sqrt{\pi } e^{-i \left(a-\frac{b^2}{4 c+4 i}\right)} \text{Erfi}\left(\frac{i b-2 (1-i c) x}{2 \sqrt{1-i c}}\right)}{4 \sqrt{1-i c}}",1,"-(Sqrt[Pi]*Erfi[(I*b - 2*(1 - I*c)*x)/(2*Sqrt[1 - I*c])])/(4*Sqrt[1 - I*c]*E^(I*(a - b^2/(4*I + 4*c)))) + (E^(I*a + b^2/(4*(1 + I*c)))*Sqrt[Pi]*Erfi[(I*b + 2*(1 + I*c)*x)/(2*Sqrt[1 + I*c])])/(4*Sqrt[1 + I*c])","A",6,3,17,0.1765,1,"{4473, 2234, 2204}"
110,1,142,0,0.1691688,"\int f^{a+b x} \cos \left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Cos[d + f*x^2],x]","-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)","-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)",1,"-((-1)^(1/4)*E^((I/4)*(4*d + (b^2*Log[f]^2)/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*((2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/4 - ((-1)^(1/4)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*((2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/(4*E^((I/4)*(4*d + (b^2*Log[f]^2)/f)))","A",8,5,16,0.3125,1,"{4473, 2287, 2234, 2204, 2205}"
111,1,157,0,0.1734627,"\int f^{a+b x} \cos ^2\left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Cos[d + f*x^2]^2,x]","\left(-\frac{1}{16}-\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+4 i f x)}{\sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{8} i \left(\frac{b^2 \log ^2(f)}{f}+16 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}","\left(-\frac{1}{16}-\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+4 i f x)}{\sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{8} i \left(\frac{b^2 \log ^2(f)}{f}+16 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}",1,"(-1/16 - I/16)*E^((2*I)*d + ((I/8)*b^2*Log[f]^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erf[((1/4 + I/4)*((4*I)*f*x + b*Log[f]))/Sqrt[f]] - ((1/16 + I/16)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((1/4 + I/4)*((4*I)*f*x - b*Log[f]))/Sqrt[f]])/E^((I/8)*(16*d + (b^2*Log[f]^2)/f)) + f^(a + b*x)/(2*b*Log[f])","A",9,6,18,0.3333,1,"{4473, 2194, 2287, 2234, 2204, 2205}"
112,1,298,0,0.3304665,"\int f^{a+b x} \cos ^3\left(d+f x^2\right) \, dx","Int[f^(a + b*x)*Cos[d + f*x^2]^3,x]","-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{-\frac{1}{12} i \left(\frac{b^2 \log ^2(f)}{f}+36 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)","-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i b^2 \log ^2(f)}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{-\frac{1}{4} i \left(\frac{b^2 \log ^2(f)}{f}+4 d\right)} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{-\frac{1}{12} i \left(\frac{b^2 \log ^2(f)}{f}+36 d\right)} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+6 i f x)}{\sqrt{6} \sqrt{f}}\right)",1,"(-3*(-1)^(1/4)*E^((I/4)*(4*d + (b^2*Log[f]^2)/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*((2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/16 - (1/16 + I/16)*E^((3*I)*d + ((I/12)*b^2*Log[f]^2)/f)*f^(-1/2 + a)*Sqrt[Pi/6]*Erf[((1/2 + I/2)*((6*I)*f*x + b*Log[f]))/(Sqrt[6]*Sqrt[f])] - (3*(-1)^(1/4)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*((2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/(16*E^((I/4)*(4*d + (b^2*Log[f]^2)/f))) - ((1/16 + I/16)*f^(-1/2 + a)*Sqrt[Pi/6]*Erfi[((1/2 + I/2)*((6*I)*f*x - b*Log[f]))/(Sqrt[6]*Sqrt[f])])/E^((I/12)*(36*d + (b^2*Log[f]^2)/f))","A",14,5,18,0.2778,1,"{4473, 2287, 2234, 2204, 2205}"
113,1,162,0,0.2547453,"\int f^{a+b x} \cos \left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Cos[d + e*x + f*x^2],x]","-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)","-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\frac{1}{4} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)",1,"-((-1)^(1/4)*E^((I/4)*(4*d + (I*e + b*Log[f])^2/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*(I*e + (2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/4 - ((-1)^(1/4)*E^((-I)*d + ((I/4)*(e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(I*e + (2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/4","A",8,5,19,0.2632,1,"{4473, 2287, 2234, 2204, 2205}"
114,1,179,0,0.2835419,"\int f^{a+b x} \cos ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Cos[d + e*x + f*x^2]^2,x]","\left(-\frac{1}{16}-\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+2 i e)^2}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (2 e+i b \log (f))^2}{8 f}-2 i d} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}","\left(-\frac{1}{16}-\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+2 i e)^2}{8 f}+2 i d} \text{Erf}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (2 e+i b \log (f))^2}{8 f}-2 i d} \text{Erfi}\left(\frac{\left(\frac{1}{4}+\frac{i}{4}\right) (-b \log (f)+2 i e+4 i f x)}{\sqrt{f}}\right)+\frac{f^{a+b x}}{2 b \log (f)}",1,"(-1/16 - I/16)*E^((2*I)*d + ((I/8)*((2*I)*e + b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erf[((1/4 + I/4)*((2*I)*e + (4*I)*f*x + b*Log[f]))/Sqrt[f]] - (1/16 + I/16)*E^((-2*I)*d + ((I/8)*(2*e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((1/4 + I/4)*((2*I)*e + (4*I)*f*x - b*Log[f]))/Sqrt[f]] + f^(a + b*x)/(2*b*Log[f])","A",9,6,21,0.2857,1,"{4473, 2194, 2287, 2234, 2204, 2205}"
115,1,340,0,0.5196743,"\int f^{a+b x} \cos ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x)*Cos[d + e*x + f*x^2]^3,x]","-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+3 i e)^2}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (3 e+i b \log (f))^2}{12 f}-3 i d} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)","-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{1}{4} i \left(4 d+\frac{(b \log (f)+i e)^2}{f}\right)} \text{Erf}\left(\frac{\sqrt[4]{-1} (b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (b \log (f)+3 i e)^2}{12 f}+3 i d} \text{Erf}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)-\frac{3}{16} \sqrt[4]{-1} \sqrt{\pi } f^{a-\frac{1}{2}} e^{\frac{i (e+i b \log (f))^2}{4 f}-i d} \text{Erfi}\left(\frac{\sqrt[4]{-1} (-b \log (f)+i e+2 i f x)}{2 \sqrt{f}}\right)-\left(\frac{1}{16}+\frac{i}{16}\right) \sqrt{\frac{\pi }{6}} f^{a-\frac{1}{2}} e^{\frac{i (3 e+i b \log (f))^2}{12 f}-3 i d} \text{Erfi}\left(\frac{\left(\frac{1}{2}+\frac{i}{2}\right) (-b \log (f)+3 i e+6 i f x)}{\sqrt{6} \sqrt{f}}\right)",1,"(-3*(-1)^(1/4)*E^((I/4)*(4*d + (I*e + b*Log[f])^2/f))*f^(-1/2 + a)*Sqrt[Pi]*Erf[((-1)^(1/4)*(I*e + (2*I)*f*x + b*Log[f]))/(2*Sqrt[f])])/16 - (1/16 + I/16)*E^((3*I)*d + ((I/12)*((3*I)*e + b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi/6]*Erf[((1/2 + I/2)*((3*I)*e + (6*I)*f*x + b*Log[f]))/(Sqrt[6]*Sqrt[f])] - (3*(-1)^(1/4)*E^((-I)*d + ((I/4)*(e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi]*Erfi[((-1)^(1/4)*(I*e + (2*I)*f*x - b*Log[f]))/(2*Sqrt[f])])/16 - (1/16 + I/16)*E^((-3*I)*d + ((I/12)*(3*e + I*b*Log[f])^2)/f)*f^(-1/2 + a)*Sqrt[Pi/6]*Erfi[((1/2 + I/2)*((3*I)*e + (6*I)*f*x - b*Log[f]))/(Sqrt[6]*Sqrt[f])]","A",14,5,21,0.2381,1,"{4473, 2287, 2234, 2204, 2205}"
116,1,147,0,0.1678204,"\int f^{a+c x^2} \cos (d+e x) \, dx","Int[f^(a + c*x^2)*Cos[d + e*x],x]","\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"-(E^((-I)*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^(I*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]])","A",8,4,16,0.2500,1,"{4473, 2287, 2234, 2204}"
117,1,171,0,0.1997617,"\int f^{a+c x^2} \cos ^2(d+e x) \, dx","Int[f^(a + c*x^2)*Cos[d + e*x]^2,x]","-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}-2 i d} \text{Erfi}\left(\frac{-c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}+2 i d} \text{Erfi}\left(\frac{c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}-2 i d} \text{Erfi}\left(\frac{-c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)}+2 i d} \text{Erfi}\left(\frac{c x \log (f)+i e}{\sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^((-2*I)*d + e^2/(c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - c*x*Log[f])/(Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]]) + (E^((2*I)*d + e^2/(c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + c*x*Log[f])/(Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]])","A",9,4,18,0.2222,1,"{4473, 2204, 2287, 2234}"
118,1,293,0,0.3308646,"\int f^{a+c x^2} \cos ^3(d+e x) \, dx","Int[f^(a + c*x^2)*Cos[d + e*x]^3,x]","-\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}+3 i d} \text{Erfi}\left(\frac{2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}","-\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{4 c \log (f)}+3 i d} \text{Erfi}\left(\frac{2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}",1,"(-3*E^((-I)*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) - (E^((-3*I)*d + (9*e^2)/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (3*E^(I*d + e^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (E^((3*I)*d + (9*e^2)/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]])","A",14,4,18,0.2222,1,"{4473, 2287, 2234, 2204}"
119,1,103,0,0.1542792,"\int f^{a+c x^2} \cos \left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Cos[d + f*x^2],x]","\frac{\sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{4 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{4 \sqrt{c \log (f)+i f}}","\frac{\sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{4 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{4 \sqrt{c \log (f)+i f}}",1,"(f^a*Sqrt[Pi]*Erf[x*Sqrt[I*f - c*Log[f]]])/(4*E^(I*d)*Sqrt[I*f - c*Log[f]]) + (E^(I*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[I*f + c*Log[f]]])/(4*Sqrt[I*f + c*Log[f]])","A",6,4,18,0.2222,1,"{4473, 2287, 2205, 2204}"
120,1,140,0,0.1881448,"\int f^{a+c x^2} \cos ^2\left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Cos[d + f*x^2]^2,x]","\frac{\sqrt{\pi } e^{-2 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+2 i f}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } e^{2 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+2 i f}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } e^{-2 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+2 i f}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } e^{2 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+2 i f}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) + (f^a*Sqrt[Pi]*Erf[x*Sqrt[(2*I)*f - c*Log[f]]])/(8*E^((2*I)*d)*Sqrt[(2*I)*f - c*Log[f]]) + (E^((2*I)*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[(2*I)*f + c*Log[f]]])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",7,4,20,0.2000,1,"{4473, 2204, 2287, 2205}"
121,1,205,0,0.2879361,"\int f^{a+c x^2} \cos ^3\left(d+f x^2\right) \, dx","Int[f^(a + c*x^2)*Cos[d + f*x^2]^3,x]","\frac{3 \sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } e^{-3 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+3 i f}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{\sqrt{\pi } e^{3 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+3 i f}\right)}{16 \sqrt{c \log (f)+3 i f}}","\frac{3 \sqrt{\pi } e^{-i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+i f}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } e^{-3 i d} f^a \text{Erf}\left(x \sqrt{-c \log (f)+3 i f}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } e^{i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+i f}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{\sqrt{\pi } e^{3 i d} f^a \text{Erfi}\left(x \sqrt{c \log (f)+3 i f}\right)}{16 \sqrt{c \log (f)+3 i f}}",1,"(3*f^a*Sqrt[Pi]*Erf[x*Sqrt[I*f - c*Log[f]]])/(16*E^(I*d)*Sqrt[I*f - c*Log[f]]) + (f^a*Sqrt[Pi]*Erf[x*Sqrt[(3*I)*f - c*Log[f]]])/(16*E^((3*I)*d)*Sqrt[(3*I)*f - c*Log[f]]) + (3*E^(I*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[I*f + c*Log[f]]])/(16*Sqrt[I*f + c*Log[f]]) + (E^((3*I)*d)*f^a*Sqrt[Pi]*Erfi[x*Sqrt[(3*I)*f + c*Log[f]]])/(16*Sqrt[(3*I)*f + c*Log[f]])","A",10,4,20,0.2000,1,"{4473, 2287, 2205, 2204}"
122,1,183,0,0.3041283,"\int f^{a+c x^2} \cos \left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Cos[d + e*x + f*x^2],x]","\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}","\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}",1,"(E^((-I)*d - e^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/(4*Sqrt[I*f - c*Log[f]]) + (E^(I*d + e^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/(4*Sqrt[I*f + c*Log[f]])","A",8,5,21,0.2381,1,"{4473, 2287, 2234, 2205, 2204}"
123,1,211,0,0.3583003,"\int f^{a+c x^2} \cos ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Cos[d + e*x + f*x^2]^2,x]","\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{-c \log (f)+2 i f}-2 i d} \text{Erf}\left(\frac{x (-c \log (f)+2 i f)+i e}{\sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)+2 i f}+2 i d} \text{Erfi}\left(\frac{x (c \log (f)+2 i f)+i e}{\sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{-\frac{e^2}{-c \log (f)+2 i f}-2 i d} \text{Erf}\left(\frac{x (-c \log (f)+2 i f)+i e}{\sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a e^{\frac{e^2}{c \log (f)+2 i f}+2 i d} \text{Erfi}\left(\frac{x (c \log (f)+2 i f)+i e}{\sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \text{Erfi}\left(\sqrt{c} x \sqrt{\log (f)}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^a*Sqrt[Pi]*Erfi[Sqrt[c]*x*Sqrt[Log[f]]])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^((-2*I)*d - e^2/((2*I)*f - c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e + x*((2*I)*f - c*Log[f]))/Sqrt[(2*I)*f - c*Log[f]]])/(8*Sqrt[(2*I)*f - c*Log[f]]) + (E^((2*I)*d + e^2/((2*I)*f + c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + x*((2*I)*f + c*Log[f]))/Sqrt[(2*I)*f + c*Log[f]]])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",9,5,23,0.2174,1,"{4473, 2204, 2287, 2234, 2205}"
124,1,369,0,0.582931,"\int f^{a+c x^2} \cos ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + c*x^2)*Cos[d + e*x + f*x^2]^3,x]","\frac{\sqrt{\pi } f^a \exp \left(-\frac{9 e^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{4 (c \log (f)+3 i f)}+3 i d} \text{Erfi}\left(\frac{2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}","\frac{\sqrt{\pi } f^a \exp \left(-\frac{9 e^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } f^a e^{-\frac{e^2}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{3 \sqrt{\pi } f^a e^{\frac{e^2}{4 c \log (f)+4 i f}+i d} \text{Erfi}\left(\frac{2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{\sqrt{\pi } f^a e^{\frac{9 e^2}{4 (c \log (f)+3 i f)}+3 i d} \text{Erfi}\left(\frac{2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}",1,"(3*E^((-I)*d - e^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/(16*Sqrt[I*f - c*Log[f]]) + (E^((-3*I)*d - (9*e^2)/(4*((3*I)*f - c*Log[f])))*f^a*Sqrt[Pi]*Erf[((3*I)*e + 2*x*((3*I)*f - c*Log[f]))/(2*Sqrt[(3*I)*f - c*Log[f]])])/(16*Sqrt[(3*I)*f - c*Log[f]]) + (3*E^(I*d + e^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/(16*Sqrt[I*f + c*Log[f]]) + (E^((3*I)*d + (9*e^2)/(4*((3*I)*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + 2*x*((3*I)*f + c*Log[f]))/(2*Sqrt[(3*I)*f + c*Log[f]])])/(16*Sqrt[(3*I)*f + c*Log[f]])","A",14,5,23,0.2174,1,"{4473, 2287, 2234, 2205, 2204}"
125,1,172,0,0.2580782,"\int f^{a+b x+c x^2} \cos (d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + e*x],x]","\frac{\sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"-(E^((-I)*d + (e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^(I*d + (e - I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(4*Sqrt[c]*Sqrt[Log[f]])","A",8,4,19,0.2105,1,"{4473, 2287, 2234, 2204}"
126,1,231,0,0.2815634,"\int f^{a+b x+c x^2} \cos ^2(d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + e*x]^2,x]","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{(2 e+i b \log (f))^2}{4 c \log (f)}-2 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{2 i d-\frac{(b \log (f)+2 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{(2 e+i b \log (f))^2}{4 c \log (f)}-2 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{2 i d-\frac{(b \log (f)+2 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+2 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{8 \sqrt{c} \sqrt{\log (f)}}",1,"(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^((-2*I)*d + (2*e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((2*I)*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]]) + (E^((2*I)*d - ((2*I)*e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((2*I)*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(8*Sqrt[c]*Sqrt[Log[f]])","A",10,4,21,0.1905,1,"{4473, 2234, 2204, 2287}"
127,1,346,0,0.4158333,"\int f^{a+b x+c x^2} \cos ^3(d+e x) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + e*x]^3,x]","-\frac{3 \sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{(3 e+i b \log (f))^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{3 \sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{3 i d-\frac{(b \log (f)+3 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}","-\frac{3 \sqrt{\pi } f^a e^{\frac{(e+i b \log (f))^2}{4 c \log (f)}-i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}-\frac{\sqrt{\pi } f^a e^{\frac{(3 e+i b \log (f))^2}{4 c \log (f)}-3 i d} \text{Erfi}\left(\frac{-b \log (f)-2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{3 \sqrt{\pi } f^a e^{\frac{(e-i b \log (f))^2}{4 c \log (f)}+i d} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a e^{3 i d-\frac{(b \log (f)+3 i e)^2}{4 c \log (f)}} \text{Erfi}\left(\frac{b \log (f)+2 c x \log (f)+3 i e}{2 \sqrt{c} \sqrt{\log (f)}}\right)}{16 \sqrt{c} \sqrt{\log (f)}}",1,"(-3*E^((-I)*d + (e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) - (E^((-3*I)*d + (3*e + I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e - b*Log[f] - 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (3*E^(I*d + (e - I*b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]]) + (E^((3*I)*d - ((3*I)*e + b*Log[f])^2/(4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + b*Log[f] + 2*c*x*Log[f])/(2*Sqrt[c]*Sqrt[Log[f]])])/(16*Sqrt[c]*Sqrt[Log[f]])","A",14,4,21,0.1905,1,"{4473, 2287, 2234, 2204}"
128,1,189,0,0.2654937,"\int f^{a+b x+c x^2} \cos \left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + f*x^2],x]","\frac{\sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}","\frac{\sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}",1,"-(E^((-I)*d + (b^2*Log[f]^2)/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/(4*Sqrt[I*f - c*Log[f]]) + (E^(I*d - (b^2*Log[f]^2)/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/(4*Sqrt[I*f + c*Log[f]])","A",8,5,21,0.2381,1,"{4473, 2287, 2234, 2205, 2204}"
129,1,245,0,0.4059151,"\int f^{a+b x+c x^2} \cos ^2\left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + f*x^2]^2,x]","-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+8 i f}-2 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+2 i f)}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a e^{2 i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+8 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}","-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+8 i f}-2 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+2 i f)}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a e^{2 i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+8 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}",1,"(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) - (E^((-2*I)*d + (b^2*Log[f]^2)/((8*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*((2*I)*f - c*Log[f]))/(2*Sqrt[(2*I)*f - c*Log[f]])])/(8*Sqrt[(2*I)*f - c*Log[f]]) + (E^((2*I)*d - (b^2*Log[f]^2)/((8*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*((2*I)*f + c*Log[f]))/(2*Sqrt[(2*I)*f + c*Log[f]])])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",10,5,23,0.2174,1,"{4473, 2234, 2204, 2287, 2205}"
130,1,378,0,0.5219566,"\int f^{a+b x+c x^2} \cos ^3\left(d+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + f*x^2]^3,x]","-\frac{3 \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+12 i f}-3 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+3 i f)}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{\sqrt{\pi } f^a \exp \left(3 i d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}","-\frac{3 \sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+4 i f}-i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+i f)}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}-\frac{\sqrt{\pi } f^a e^{\frac{b^2 \log ^2(f)}{-4 c \log (f)+12 i f}-3 i d} \text{Erf}\left(\frac{b \log (f)-2 x (-c \log (f)+3 i f)}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{\sqrt{\pi } f^a \exp \left(3 i d-\frac{b^2 \log ^2(f)}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } f^a e^{i d-\frac{b^2 \log ^2(f)}{4 c \log (f)+4 i f}} \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}",1,"(-3*E^((-I)*d + (b^2*Log[f]^2)/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/(16*Sqrt[I*f - c*Log[f]]) - (E^((-3*I)*d + (b^2*Log[f]^2)/((12*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(b*Log[f] - 2*x*((3*I)*f - c*Log[f]))/(2*Sqrt[(3*I)*f - c*Log[f]])])/(16*Sqrt[(3*I)*f - c*Log[f]]) + (3*E^(I*d - (b^2*Log[f]^2)/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/(16*Sqrt[I*f + c*Log[f]]) + (E^((3*I)*d - (b^2*Log[f]^2)/(4*((3*I)*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[(b*Log[f] + 2*x*((3*I)*f + c*Log[f]))/(2*Sqrt[(3*I)*f + c*Log[f]])])/(16*Sqrt[(3*I)*f + c*Log[f]])","A",14,5,23,0.2174,1,"{4473, 2287, 2234, 2205, 2204}"
131,1,208,0,0.3947173,"\int f^{a+b x+c x^2} \cos \left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + e*x + f*x^2],x]","\frac{\sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}","\frac{\sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{4 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{4 \sqrt{c \log (f)+i f}}",1,"(E^((-I)*d - (e + I*b*Log[f])^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e - b*Log[f] + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/(4*Sqrt[I*f - c*Log[f]]) + (E^(I*d + (e - I*b*Log[f])^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/(4*Sqrt[I*f + c*Log[f]])","A",8,5,24,0.2083,1,"{4473, 2287, 2234, 2205, 2204}"
132,1,268,0,0.4608145,"\int f^{a+b x+c x^2} \cos ^2\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + e*x + f*x^2]^2,x]","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(-\frac{(2 e+i b \log (f))^2}{-4 c \log (f)+8 i f}-2 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+2 i f)+2 i e}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \exp \left(\frac{(2 e-i b \log (f))^2}{4 c \log (f)+8 i f}+2 i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)+2 i e}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}","\frac{\sqrt{\pi } f^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{\sqrt{\log (f)} (b+2 c x)}{2 \sqrt{c}}\right)}{4 \sqrt{c} \sqrt{\log (f)}}+\frac{\sqrt{\pi } f^a \exp \left(-\frac{(2 e+i b \log (f))^2}{-4 c \log (f)+8 i f}-2 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+2 i f)+2 i e}{2 \sqrt{-c \log (f)+2 i f}}\right)}{8 \sqrt{-c \log (f)+2 i f}}+\frac{\sqrt{\pi } f^a \exp \left(\frac{(2 e-i b \log (f))^2}{4 c \log (f)+8 i f}+2 i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+2 i f)+2 i e}{2 \sqrt{c \log (f)+2 i f}}\right)}{8 \sqrt{c \log (f)+2 i f}}",1,"(f^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[((b + 2*c*x)*Sqrt[Log[f]])/(2*Sqrt[c])])/(4*Sqrt[c]*Sqrt[Log[f]]) + (E^((-2*I)*d - (2*e + I*b*Log[f])^2/((8*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[((2*I)*e - b*Log[f] + 2*x*((2*I)*f - c*Log[f]))/(2*Sqrt[(2*I)*f - c*Log[f]])])/(8*Sqrt[(2*I)*f - c*Log[f]]) + (E^((2*I)*d + (2*e - I*b*Log[f])^2/((8*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[((2*I)*e + b*Log[f] + 2*x*((2*I)*f + c*Log[f]))/(2*Sqrt[(2*I)*f + c*Log[f]])])/(8*Sqrt[(2*I)*f + c*Log[f]])","A",10,5,26,0.1923,1,"{4473, 2234, 2204, 2287, 2205}"
133,1,422,0,0.6647004,"\int f^{a+b x+c x^2} \cos ^3\left(d+e x+f x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Cos[d + e*x + f*x^2]^3,x]","\frac{3 \sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } f^a \exp \left(-\frac{(3 e+i b \log (f))^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{\sqrt{\pi } f^a \exp \left(3 i d-\frac{(b \log (f)+3 i e)^2}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}","\frac{3 \sqrt{\pi } f^a \exp \left(-\frac{(e+i b \log (f))^2}{-4 c \log (f)+4 i f}-i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+i f)+i e}{2 \sqrt{-c \log (f)+i f}}\right)}{16 \sqrt{-c \log (f)+i f}}+\frac{\sqrt{\pi } f^a \exp \left(-\frac{(3 e+i b \log (f))^2}{4 (-c \log (f)+3 i f)}-3 i d\right) \text{Erf}\left(\frac{-b \log (f)+2 x (-c \log (f)+3 i f)+3 i e}{2 \sqrt{-c \log (f)+3 i f}}\right)}{16 \sqrt{-c \log (f)+3 i f}}+\frac{3 \sqrt{\pi } f^a \exp \left(\frac{(e-i b \log (f))^2}{4 c \log (f)+4 i f}+i d\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+i f)+i e}{2 \sqrt{c \log (f)+i f}}\right)}{16 \sqrt{c \log (f)+i f}}+\frac{\sqrt{\pi } f^a \exp \left(3 i d-\frac{(b \log (f)+3 i e)^2}{4 (c \log (f)+3 i f)}\right) \text{Erfi}\left(\frac{b \log (f)+2 x (c \log (f)+3 i f)+3 i e}{2 \sqrt{c \log (f)+3 i f}}\right)}{16 \sqrt{c \log (f)+3 i f}}",1,"(3*E^((-I)*d - (e + I*b*Log[f])^2/((4*I)*f - 4*c*Log[f]))*f^a*Sqrt[Pi]*Erf[(I*e - b*Log[f] + 2*x*(I*f - c*Log[f]))/(2*Sqrt[I*f - c*Log[f]])])/(16*Sqrt[I*f - c*Log[f]]) + (E^((-3*I)*d - (3*e + I*b*Log[f])^2/(4*((3*I)*f - c*Log[f])))*f^a*Sqrt[Pi]*Erf[((3*I)*e - b*Log[f] + 2*x*((3*I)*f - c*Log[f]))/(2*Sqrt[(3*I)*f - c*Log[f]])])/(16*Sqrt[(3*I)*f - c*Log[f]]) + (3*E^(I*d + (e - I*b*Log[f])^2/((4*I)*f + 4*c*Log[f]))*f^a*Sqrt[Pi]*Erfi[(I*e + b*Log[f] + 2*x*(I*f + c*Log[f]))/(2*Sqrt[I*f + c*Log[f]])])/(16*Sqrt[I*f + c*Log[f]]) + (E^((3*I)*d - ((3*I)*e + b*Log[f])^2/(4*((3*I)*f + c*Log[f])))*f^a*Sqrt[Pi]*Erfi[((3*I)*e + b*Log[f] + 2*x*((3*I)*f + c*Log[f]))/(2*Sqrt[(3*I)*f + c*Log[f]])])/(16*Sqrt[(3*I)*f + c*Log[f]])","A",14,5,26,0.1923,1,"{4473, 2287, 2234, 2205, 2204}"
134,1,209,0,0.4818046,"\int f^{a+b x+c x^2} \cos \left(a+b x+e x^2\right) \, dx","Int[f^(a + b*x + c*x^2)*Cos[a + b*x + e*x^2],x]","\frac{\sqrt{\pi } \exp \left(-(-\log (f)+i) \left(a-\frac{b^2 (-\log (f)+i)}{-4 c \log (f)+4 i e}\right)\right) \text{Erf}\left(\frac{b (-\log (f)+i)+2 x (-c \log (f)+i e)}{2 \sqrt{-c \log (f)+i e}}\right)}{4 \sqrt{-c \log (f)+i e}}+\frac{\sqrt{\pi } \exp \left((\log (f)+i) \left(a-\frac{b^2 (\log (f)+i)}{4 c \log (f)+4 i e}\right)\right) \text{Erfi}\left(\frac{b (\log (f)+i)+2 x (c \log (f)+i e)}{2 \sqrt{c \log (f)+i e}}\right)}{4 \sqrt{c \log (f)+i e}}","\frac{\sqrt{\pi } \exp \left(-(-\log (f)+i) \left(a-\frac{b^2 (-\log (f)+i)}{-4 c \log (f)+4 i e}\right)\right) \text{Erf}\left(\frac{b (-\log (f)+i)+2 x (-c \log (f)+i e)}{2 \sqrt{-c \log (f)+i e}}\right)}{4 \sqrt{-c \log (f)+i e}}+\frac{\sqrt{\pi } \exp \left((\log (f)+i) \left(a-\frac{b^2 (\log (f)+i)}{4 c \log (f)+4 i e}\right)\right) \text{Erfi}\left(\frac{b (\log (f)+i)+2 x (c \log (f)+i e)}{2 \sqrt{c \log (f)+i e}}\right)}{4 \sqrt{c \log (f)+i e}}",1,"(Sqrt[Pi]*Erf[(b*(I - Log[f]) + 2*x*(I*e - c*Log[f]))/(2*Sqrt[I*e - c*Log[f]])])/(4*E^((I - Log[f])*(a - (b^2*(I - Log[f]))/((4*I)*e - 4*c*Log[f])))*Sqrt[I*e - c*Log[f]]) + (E^((I + Log[f])*(a - (b^2*(I + Log[f]))/((4*I)*e + 4*c*Log[f])))*Sqrt[Pi]*Erfi[(b*(I + Log[f]) + 2*x*(I*e + c*Log[f]))/(2*Sqrt[I*e + c*Log[f]])])/(4*Sqrt[I*e + c*Log[f]])","A",8,5,24,0.2083,1,"{4473, 2287, 2234, 2205, 2204}"
135,1,245,0,0.3584877,"\int F^{c (a+b x)} (f+f \sin (d+e x))^2 \, dx","Int[F^(c*(a + b*x))*(f + f*Sin[d + e*x])^2,x]","\frac{b c f^2 \log (F) \sin ^2(d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 b c f^2 \log (F) \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}-\frac{2 e f^2 \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}-\frac{2 e f^2 \sin (d+e x) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}","\frac{b c f^2 \log (F) \sin ^2(d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 b c f^2 \log (F) \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}-\frac{2 e f^2 \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}-\frac{2 e f^2 \sin (d+e x) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}",1,"(f^2*F^(a*c + b*c*x))/(b*c*Log[F]) - (2*e*f^2*F^(a*c + b*c*x)*Cos[d + e*x])/(e^2 + b^2*c^2*Log[F]^2) + (2*e^2*f^2*F^(a*c + b*c*x))/(b*c*Log[F]*(4*e^2 + b^2*c^2*Log[F]^2)) + (2*b*c*f^2*F^(a*c + b*c*x)*Log[F]*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2) - (2*e*f^2*F^(a*c + b*c*x)*Cos[d + e*x]*Sin[d + e*x])/(4*e^2 + b^2*c^2*Log[F]^2) + (b*c*f^2*F^(a*c + b*c*x)*Log[F]*Sin[d + e*x]^2)/(4*e^2 + b^2*c^2*Log[F]^2)","A",8,6,22,0.2727,1,"{6741, 12, 6742, 2194, 4432, 4434}"
136,1,99,0,0.158877,"\int F^{c (a+b x)} (f+f \sin (d+e x)) \, dx","Int[F^(c*(a + b*x))*(f + f*Sin[d + e*x]),x]","\frac{b c f \log (F) \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}-\frac{e f \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{f F^{a c+b c x}}{b c \log (F)}","\frac{b c f \log (F) \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}-\frac{e f \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{f F^{a c+b c x}}{b c \log (F)}",1,"(f*F^(a*c + b*c*x))/(b*c*Log[F]) - (e*f*F^(a*c + b*c*x)*Cos[d + e*x])/(e^2 + b^2*c^2*Log[F]^2) + (b*c*f*F^(a*c + b*c*x)*Log[F]*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)","A",6,5,20,0.2500,1,"{6741, 12, 6742, 2194, 4432}"
137,1,80,0,0.0655502,"\int \frac{F^{c (a+b x)}}{f+f \sin (d+e x)} \, dx","Int[F^(c*(a + b*x))/(f + f*Sin[d + e*x]),x]","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};i e^{i (d+e x)}\right)}{f (e-i b c \log (F))}","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};i e^{i (d+e x)}\right)}{f (e-i b c \log (F))}",1,"(-2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - (I*b*c*Log[F])/e, 2 - (I*b*c*Log[F])/e, I*E^(I*(d + e*x))])/(f*(e - I*b*c*Log[F]))","A",2,2,22,0.09091,1,"{4456, 4450}"
138,1,184,0,0.0997605,"\int \frac{F^{c (a+b x)}}{(f+f \sin (d+e x))^2} \, dx","Int[F^(c*(a + b*x))/(f + f*Sin[d + e*x])^2,x]","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} (e+i b c \log (F)) \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};i e^{i (d+e x)}\right)}{3 e^2 f^2}-\frac{b c \log (F) \csc ^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{\pi }{4}\right) F^{c (a+b x)}}{6 e^2 f^2}-\frac{\cot \left(\frac{d}{2}+\frac{e x}{2}+\frac{\pi }{4}\right) \csc ^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{\pi }{4}\right) F^{c (a+b x)}}{6 e f^2}","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} (e+i b c \log (F)) \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};i e^{i (d+e x)}\right)}{3 e^2 f^2}-\frac{b c \log (F) \csc ^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{\pi }{4}\right) F^{c (a+b x)}}{6 e^2 f^2}-\frac{\cot \left(\frac{d}{2}+\frac{e x}{2}+\frac{\pi }{4}\right) \csc ^2\left(\frac{d}{2}+\frac{e x}{2}+\frac{\pi }{4}\right) F^{c (a+b x)}}{6 e f^2}",1,"-(F^(c*(a + b*x))*Cot[d/2 + Pi/4 + (e*x)/2]*Csc[d/2 + Pi/4 + (e*x)/2]^2)/(6*e*f^2) - (b*c*F^(c*(a + b*x))*Csc[d/2 + Pi/4 + (e*x)/2]^2*Log[F])/(6*e^2*f^2) - (2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - (I*b*c*Log[F])/e, 2 - (I*b*c*Log[F])/e, I*E^(I*(d + e*x))]*(e + I*b*c*Log[F]))/(3*e^2*f^2)","A",3,3,22,0.1364,1,"{4456, 4448, 4450}"
139,1,245,0,0.3260407,"\int F^{c (a+b x)} (f+f \cos (d+e x))^2 \, dx","Int[F^(c*(a + b*x))*(f + f*Cos[d + e*x])^2,x]","\frac{2 e f^2 \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b c f^2 \log (F) \cos ^2(d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 b c f^2 \log (F) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{2 e f^2 \sin (d+e x) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}","\frac{2 e f^2 \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b c f^2 \log (F) \cos ^2(d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 b c f^2 \log (F) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{2 e f^2 \sin (d+e x) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+4 e^2}+\frac{2 e^2 f^2 F^{a c+b c x}}{b c \log (F) \left(b^2 c^2 \log ^2(F)+4 e^2\right)}+\frac{f^2 F^{a c+b c x}}{b c \log (F)}",1,"(f^2*F^(a*c + b*c*x))/(b*c*Log[F]) + (2*b*c*f^2*F^(a*c + b*c*x)*Cos[d + e*x]*Log[F])/(e^2 + b^2*c^2*Log[F]^2) + (2*e^2*f^2*F^(a*c + b*c*x))/(b*c*Log[F]*(4*e^2 + b^2*c^2*Log[F]^2)) + (b*c*f^2*F^(a*c + b*c*x)*Cos[d + e*x]^2*Log[F])/(4*e^2 + b^2*c^2*Log[F]^2) + (2*e*f^2*F^(a*c + b*c*x)*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2) + (2*e*f^2*F^(a*c + b*c*x)*Cos[d + e*x]*Sin[d + e*x])/(4*e^2 + b^2*c^2*Log[F]^2)","A",8,6,22,0.2727,1,"{6741, 12, 6742, 2194, 4433, 4435}"
140,1,98,0,0.1484571,"\int F^{c (a+b x)} (f+f \cos (d+e x)) \, dx","Int[F^(c*(a + b*x))*(f + f*Cos[d + e*x]),x]","\frac{e f \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b c f \log (F) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{f F^{a c+b c x}}{b c \log (F)}","\frac{e f \sin (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{b c f \log (F) \cos (d+e x) F^{a c+b c x}}{b^2 c^2 \log ^2(F)+e^2}+\frac{f F^{a c+b c x}}{b c \log (F)}",1,"(f*F^(a*c + b*c*x))/(b*c*Log[F]) + (b*c*f*F^(a*c + b*c*x)*Cos[d + e*x]*Log[F])/(e^2 + b^2*c^2*Log[F]^2) + (e*f*F^(a*c + b*c*x)*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)","A",6,5,20,0.2500,1,"{6741, 12, 6742, 2194, 4433}"
141,1,79,0,0.0602341,"\int \frac{F^{c (a+b x)}}{f+f \cos (d+e x)} \, dx","Int[F^(c*(a + b*x))/(f + f*Cos[d + e*x]),x]","\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};-e^{i (d+e x)}\right)}{f (b c \log (F)+i e)}","\frac{2 e^{i (d+e x)} F^{c (a+b x)} \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};-e^{i (d+e x)}\right)}{f (b c \log (F)+i e)}",1,"(2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - (I*b*c*Log[F])/e, 2 - (I*b*c*Log[F])/e, -E^(I*(d + e*x))])/(f*(I*e + b*c*Log[F]))","A",2,2,22,0.09091,1,"{4457, 4451}"
142,1,169,0,0.0966504,"\int \frac{F^{c (a+b x)}}{(f+f \cos (d+e x))^2} \, dx","Int[F^(c*(a + b*x))/(f + f*Cos[d + e*x])^2,x]","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} (-b c \log (F)+i e) \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};-e^{i (d+e x)}\right)}{3 e^2 f^2}-\frac{b c \log (F) \sec ^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e^2 f^2}+\frac{\tan \left(\frac{d}{2}+\frac{e x}{2}\right) \sec ^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e f^2}","-\frac{2 e^{i (d+e x)} F^{c (a+b x)} (-b c \log (F)+i e) \, _2F_1\left(2,1-\frac{i b c \log (F)}{e};2-\frac{i b c \log (F)}{e};-e^{i (d+e x)}\right)}{3 e^2 f^2}-\frac{b c \log (F) \sec ^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e^2 f^2}+\frac{\tan \left(\frac{d}{2}+\frac{e x}{2}\right) \sec ^2\left(\frac{d}{2}+\frac{e x}{2}\right) F^{c (a+b x)}}{6 e f^2}",1,"(-2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - (I*b*c*Log[F])/e, 2 - (I*b*c*Log[F])/e, -E^(I*(d + e*x))]*(I*e - b*c*Log[F]))/(3*e^2*f^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sec[d/2 + (e*x)/2]^2)/(6*e^2*f^2) + (F^(c*(a + b*x))*Sec[d/2 + (e*x)/2]^2*Tan[d/2 + (e*x)/2])/(6*e*f^2)","A",3,3,22,0.1364,1,"{4457, 4448, 4451}"