1,1,96,0,0.0961821,"\int x^5 \text{Erf}(b x) \, dx","Int[x^5*Erf[b*x],x]","-\frac{5 \text{Erf}(b x)}{16 b^6}+\frac{x^5 e^{-b^2 x^2}}{6 \sqrt{\pi } b}+\frac{5 x^3 e^{-b^2 x^2}}{12 \sqrt{\pi } b^3}+\frac{5 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^5}+\frac{1}{6} x^6 \text{Erf}(b x)","-\frac{5 \text{Erf}(b x)}{16 b^6}+\frac{x^5 e^{-b^2 x^2}}{6 \sqrt{\pi } b}+\frac{5 x^3 e^{-b^2 x^2}}{12 \sqrt{\pi } b^3}+\frac{5 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^5}+\frac{1}{6} x^6 \text{Erf}(b x)",1,"(5*x)/(8*b^5*E^(b^2*x^2)*Sqrt[Pi]) + (5*x^3)/(12*b^3*E^(b^2*x^2)*Sqrt[Pi]) + x^5/(6*b*E^(b^2*x^2)*Sqrt[Pi]) - (5*Erf[b*x])/(16*b^6) + (x^6*Erf[b*x])/6","A",5,3,8,0.3750,1,"{6361, 2212, 2205}"
2,1,71,0,0.0621596,"\int x^3 \text{Erf}(b x) \, dx","Int[x^3*Erf[b*x],x]","-\frac{3 \text{Erf}(b x)}{16 b^4}+\frac{x^3 e^{-b^2 x^2}}{4 \sqrt{\pi } b}+\frac{3 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^3}+\frac{1}{4} x^4 \text{Erf}(b x)","-\frac{3 \text{Erf}(b x)}{16 b^4}+\frac{x^3 e^{-b^2 x^2}}{4 \sqrt{\pi } b}+\frac{3 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^3}+\frac{1}{4} x^4 \text{Erf}(b x)",1,"(3*x)/(8*b^3*E^(b^2*x^2)*Sqrt[Pi]) + x^3/(4*b*E^(b^2*x^2)*Sqrt[Pi]) - (3*Erf[b*x])/(16*b^4) + (x^4*Erf[b*x])/4","A",4,3,8,0.3750,1,"{6361, 2212, 2205}"
3,1,46,0,0.0361979,"\int x \text{Erf}(b x) \, dx","Int[x*Erf[b*x],x]","-\frac{\text{Erf}(b x)}{4 b^2}+\frac{x e^{-b^2 x^2}}{2 \sqrt{\pi } b}+\frac{1}{2} x^2 \text{Erf}(b x)","-\frac{\text{Erf}(b x)}{4 b^2}+\frac{x e^{-b^2 x^2}}{2 \sqrt{\pi } b}+\frac{1}{2} x^2 \text{Erf}(b x)",1,"x/(2*b*E^(b^2*x^2)*Sqrt[Pi]) - Erf[b*x]/(4*b^2) + (x^2*Erf[b*x])/2","A",3,3,6,0.5000,1,"{6361, 2212, 2205}"
4,1,32,0,0.0137938,"\int \frac{\text{Erf}(b x)}{x} \, dx","Int[Erf[b*x]/x,x]","\frac{2 b x \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}","\frac{2 b x \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}",1,"(2*b*x*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, -(b^2*x^2)])/Sqrt[Pi]","A",1,1,8,0.1250,1,"{6358}"
5,1,42,0,0.0386486,"\int \frac{\text{Erf}(b x)}{x^3} \, dx","Int[Erf[b*x]/x^3,x]","b^2 (-\text{Erf}(b x))-\frac{b e^{-b^2 x^2}}{\sqrt{\pi } x}-\frac{\text{Erf}(b x)}{2 x^2}","b^2 (-\text{Erf}(b x))-\frac{b e^{-b^2 x^2}}{\sqrt{\pi } x}-\frac{\text{Erf}(b x)}{2 x^2}",1,"-(b/(E^(b^2*x^2)*Sqrt[Pi]*x)) - b^2*Erf[b*x] - Erf[b*x]/(2*x^2)","A",3,3,8,0.3750,1,"{6361, 2214, 2205}"
6,1,71,0,0.0650876,"\int \frac{\text{Erf}(b x)}{x^5} \, dx","Int[Erf[b*x]/x^5,x]","\frac{1}{3} b^4 \text{Erf}(b x)+\frac{b^3 e^{-b^2 x^2}}{3 \sqrt{\pi } x}-\frac{b e^{-b^2 x^2}}{6 \sqrt{\pi } x^3}-\frac{\text{Erf}(b x)}{4 x^4}","\frac{1}{3} b^4 \text{Erf}(b x)+\frac{b^3 e^{-b^2 x^2}}{3 \sqrt{\pi } x}-\frac{b e^{-b^2 x^2}}{6 \sqrt{\pi } x^3}-\frac{\text{Erf}(b x)}{4 x^4}",1,"-b/(6*E^(b^2*x^2)*Sqrt[Pi]*x^3) + b^3/(3*E^(b^2*x^2)*Sqrt[Pi]*x) + (b^4*Erf[b*x])/3 - Erf[b*x]/(4*x^4)","A",4,3,8,0.3750,1,"{6361, 2214, 2205}"
7,1,96,0,0.0884729,"\int \frac{\text{Erf}(b x)}{x^7} \, dx","Int[Erf[b*x]/x^7,x]","-\frac{4}{45} b^6 \text{Erf}(b x)-\frac{4 b^5 e^{-b^2 x^2}}{45 \sqrt{\pi } x}+\frac{2 b^3 e^{-b^2 x^2}}{45 \sqrt{\pi } x^3}-\frac{b e^{-b^2 x^2}}{15 \sqrt{\pi } x^5}-\frac{\text{Erf}(b x)}{6 x^6}","-\frac{4}{45} b^6 \text{Erf}(b x)-\frac{4 b^5 e^{-b^2 x^2}}{45 \sqrt{\pi } x}+\frac{2 b^3 e^{-b^2 x^2}}{45 \sqrt{\pi } x^3}-\frac{b e^{-b^2 x^2}}{15 \sqrt{\pi } x^5}-\frac{\text{Erf}(b x)}{6 x^6}",1,"-b/(15*E^(b^2*x^2)*Sqrt[Pi]*x^5) + (2*b^3)/(45*E^(b^2*x^2)*Sqrt[Pi]*x^3) - (4*b^5)/(45*E^(b^2*x^2)*Sqrt[Pi]*x) - (4*b^6*Erf[b*x])/45 - Erf[b*x]/(6*x^6)","A",5,3,8,0.3750,1,"{6361, 2214, 2205}"
8,1,109,0,0.0989079,"\int x^6 \text{Erf}(b x) \, dx","Int[x^6*Erf[b*x],x]","\frac{x^6 e^{-b^2 x^2}}{7 \sqrt{\pi } b}+\frac{3 x^4 e^{-b^2 x^2}}{7 \sqrt{\pi } b^3}+\frac{6 x^2 e^{-b^2 x^2}}{7 \sqrt{\pi } b^5}+\frac{6 e^{-b^2 x^2}}{7 \sqrt{\pi } b^7}+\frac{1}{7} x^7 \text{Erf}(b x)","\frac{x^6 e^{-b^2 x^2}}{7 \sqrt{\pi } b}+\frac{3 x^4 e^{-b^2 x^2}}{7 \sqrt{\pi } b^3}+\frac{6 x^2 e^{-b^2 x^2}}{7 \sqrt{\pi } b^5}+\frac{6 e^{-b^2 x^2}}{7 \sqrt{\pi } b^7}+\frac{1}{7} x^7 \text{Erf}(b x)",1,"6/(7*b^7*E^(b^2*x^2)*Sqrt[Pi]) + (6*x^2)/(7*b^5*E^(b^2*x^2)*Sqrt[Pi]) + (3*x^4)/(7*b^3*E^(b^2*x^2)*Sqrt[Pi]) + x^6/(7*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^7*Erf[b*x])/7","A",5,3,8,0.3750,1,"{6361, 2212, 2209}"
9,1,84,0,0.0733966,"\int x^4 \text{Erf}(b x) \, dx","Int[x^4*Erf[b*x],x]","\frac{x^4 e^{-b^2 x^2}}{5 \sqrt{\pi } b}+\frac{2 x^2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^3}+\frac{2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^5}+\frac{1}{5} x^5 \text{Erf}(b x)","\frac{x^4 e^{-b^2 x^2}}{5 \sqrt{\pi } b}+\frac{2 x^2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^3}+\frac{2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^5}+\frac{1}{5} x^5 \text{Erf}(b x)",1,"2/(5*b^5*E^(b^2*x^2)*Sqrt[Pi]) + (2*x^2)/(5*b^3*E^(b^2*x^2)*Sqrt[Pi]) + x^4/(5*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^5*Erf[b*x])/5","A",4,3,8,0.3750,1,"{6361, 2212, 2209}"
10,1,59,0,0.0489509,"\int x^2 \text{Erf}(b x) \, dx","Int[x^2*Erf[b*x],x]","\frac{x^2 e^{-b^2 x^2}}{3 \sqrt{\pi } b}+\frac{e^{-b^2 x^2}}{3 \sqrt{\pi } b^3}+\frac{1}{3} x^3 \text{Erf}(b x)","\frac{x^2 e^{-b^2 x^2}}{3 \sqrt{\pi } b}+\frac{e^{-b^2 x^2}}{3 \sqrt{\pi } b^3}+\frac{1}{3} x^3 \text{Erf}(b x)",1,"1/(3*b^3*E^(b^2*x^2)*Sqrt[Pi]) + x^2/(3*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^3*Erf[b*x])/3","A",3,3,8,0.3750,1,"{6361, 2212, 2209}"
11,1,26,0,0.005257,"\int \text{Erf}(b x) \, dx","Int[Erf[b*x],x]","\frac{e^{-b^2 x^2}}{\sqrt{\pi } b}+x \text{Erf}(b x)","\frac{e^{-b^2 x^2}}{\sqrt{\pi } b}+x \text{Erf}(b x)",1,"1/(b*E^(b^2*x^2)*Sqrt[Pi]) + x*Erf[b*x]","A",1,1,4,0.2500,1,"{6349}"
12,1,26,0,0.0313195,"\int \frac{\text{Erf}(b x)}{x^2} \, dx","Int[Erf[b*x]/x^2,x]","\frac{b \text{Ei}\left(-b^2 x^2\right)}{\sqrt{\pi }}-\frac{\text{Erf}(b x)}{x}","\frac{b \text{Ei}\left(-b^2 x^2\right)}{\sqrt{\pi }}-\frac{\text{Erf}(b x)}{x}",1,"-(Erf[b*x]/x) + (b*ExpIntegralEi[-(b^2*x^2)])/Sqrt[Pi]","A",2,2,8,0.2500,1,"{6361, 2210}"
13,1,56,0,0.0521948,"\int \frac{\text{Erf}(b x)}{x^4} \, dx","Int[Erf[b*x]/x^4,x]","-\frac{b^3 \text{Ei}\left(-b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{-b^2 x^2}}{3 \sqrt{\pi } x^2}-\frac{\text{Erf}(b x)}{3 x^3}","-\frac{b^3 \text{Ei}\left(-b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{-b^2 x^2}}{3 \sqrt{\pi } x^2}-\frac{\text{Erf}(b x)}{3 x^3}",1,"-b/(3*E^(b^2*x^2)*Sqrt[Pi]*x^2) - Erf[b*x]/(3*x^3) - (b^3*ExpIntegralEi[-(b^2*x^2)])/(3*Sqrt[Pi])","A",3,3,8,0.3750,1,"{6361, 2214, 2210}"
14,1,81,0,0.0745673,"\int \frac{\text{Erf}(b x)}{x^6} \, dx","Int[Erf[b*x]/x^6,x]","\frac{b^5 \text{Ei}\left(-b^2 x^2\right)}{10 \sqrt{\pi }}+\frac{b^3 e^{-b^2 x^2}}{10 \sqrt{\pi } x^2}-\frac{b e^{-b^2 x^2}}{10 \sqrt{\pi } x^4}-\frac{\text{Erf}(b x)}{5 x^5}","\frac{b^5 \text{Ei}\left(-b^2 x^2\right)}{10 \sqrt{\pi }}+\frac{b^3 e^{-b^2 x^2}}{10 \sqrt{\pi } x^2}-\frac{b e^{-b^2 x^2}}{10 \sqrt{\pi } x^4}-\frac{\text{Erf}(b x)}{5 x^5}",1,"-b/(10*E^(b^2*x^2)*Sqrt[Pi]*x^4) + b^3/(10*E^(b^2*x^2)*Sqrt[Pi]*x^2) - Erf[b*x]/(5*x^5) + (b^5*ExpIntegralEi[-(b^2*x^2)])/(10*Sqrt[Pi])","A",4,3,8,0.3750,1,"{6361, 2214, 2210}"
15,1,289,0,0.3206178,"\int (c+d x)^3 \text{Erf}(a+b x) \, dx","Int[(c + d*x)^3*Erf[a + b*x],x]","\frac{d^2 e^{-(a+b x)^2} (a+b x)^2 (b c-a d)}{\sqrt{\pi } b^4}+\frac{d^2 e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^4}-\frac{(b c-a d)^4 \text{Erf}(a+b x)}{4 b^4 d}-\frac{3 d (b c-a d)^2 \text{Erf}(a+b x)}{4 b^4}+\frac{e^{-(a+b x)^2} (b c-a d)^3}{\sqrt{\pi } b^4}+\frac{3 d e^{-(a+b x)^2} (a+b x) (b c-a d)^2}{2 \sqrt{\pi } b^4}-\frac{3 d^3 \text{Erf}(a+b x)}{16 b^4}+\frac{d^3 e^{-(a+b x)^2} (a+b x)^3}{4 \sqrt{\pi } b^4}+\frac{3 d^3 e^{-(a+b x)^2} (a+b x)}{8 \sqrt{\pi } b^4}+\frac{(c+d x)^4 \text{Erf}(a+b x)}{4 d}","\frac{d^2 e^{-(a+b x)^2} (a+b x)^2 (b c-a d)}{\sqrt{\pi } b^4}+\frac{d^2 e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^4}-\frac{(b c-a d)^4 \text{Erf}(a+b x)}{4 b^4 d}-\frac{3 d (b c-a d)^2 \text{Erf}(a+b x)}{4 b^4}+\frac{e^{-(a+b x)^2} (b c-a d)^3}{\sqrt{\pi } b^4}+\frac{3 d e^{-(a+b x)^2} (a+b x) (b c-a d)^2}{2 \sqrt{\pi } b^4}-\frac{3 d^3 \text{Erf}(a+b x)}{16 b^4}+\frac{d^3 e^{-(a+b x)^2} (a+b x)^3}{4 \sqrt{\pi } b^4}+\frac{3 d^3 e^{-(a+b x)^2} (a+b x)}{8 \sqrt{\pi } b^4}+\frac{(c+d x)^4 \text{Erf}(a+b x)}{4 d}",1,"(d^2*(b*c - a*d))/(b^4*E^(a + b*x)^2*Sqrt[Pi]) + (b*c - a*d)^3/(b^4*E^(a + b*x)^2*Sqrt[Pi]) + (3*d^3*(a + b*x))/(8*b^4*E^(a + b*x)^2*Sqrt[Pi]) + (3*d*(b*c - a*d)^2*(a + b*x))/(2*b^4*E^(a + b*x)^2*Sqrt[Pi]) + (d^2*(b*c - a*d)*(a + b*x)^2)/(b^4*E^(a + b*x)^2*Sqrt[Pi]) + (d^3*(a + b*x)^3)/(4*b^4*E^(a + b*x)^2*Sqrt[Pi]) - (3*d^3*Erf[a + b*x])/(16*b^4) - (3*d*(b*c - a*d)^2*Erf[a + b*x])/(4*b^4) - ((b*c - a*d)^4*Erf[a + b*x])/(4*b^4*d) + ((c + d*x)^4*Erf[a + b*x])/(4*d)","A",12,5,14,0.3571,1,"{6361, 2226, 2205, 2209, 2212}"
16,1,192,0,0.1997037,"\int (c+d x)^2 \text{Erf}(a+b x) \, dx","Int[(c + d*x)^2*Erf[a + b*x],x]","-\frac{(b c-a d)^3 \text{Erf}(a+b x)}{3 b^3 d}-\frac{d (b c-a d) \text{Erf}(a+b x)}{2 b^3}+\frac{e^{-(a+b x)^2} (b c-a d)^2}{\sqrt{\pi } b^3}+\frac{d e^{-(a+b x)^2} (a+b x) (b c-a d)}{\sqrt{\pi } b^3}+\frac{d^2 e^{-(a+b x)^2} (a+b x)^2}{3 \sqrt{\pi } b^3}+\frac{d^2 e^{-(a+b x)^2}}{3 \sqrt{\pi } b^3}+\frac{(c+d x)^3 \text{Erf}(a+b x)}{3 d}","-\frac{(b c-a d)^3 \text{Erf}(a+b x)}{3 b^3 d}-\frac{d (b c-a d) \text{Erf}(a+b x)}{2 b^3}+\frac{e^{-(a+b x)^2} (b c-a d)^2}{\sqrt{\pi } b^3}+\frac{d e^{-(a+b x)^2} (a+b x) (b c-a d)}{\sqrt{\pi } b^3}+\frac{d^2 e^{-(a+b x)^2} (a+b x)^2}{3 \sqrt{\pi } b^3}+\frac{d^2 e^{-(a+b x)^2}}{3 \sqrt{\pi } b^3}+\frac{(c+d x)^3 \text{Erf}(a+b x)}{3 d}",1,"d^2/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) + (b*c - a*d)^2/(b^3*E^(a + b*x)^2*Sqrt[Pi]) + (d*(b*c - a*d)*(a + b*x))/(b^3*E^(a + b*x)^2*Sqrt[Pi]) + (d^2*(a + b*x)^2)/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) - (d*(b*c - a*d)*Erf[a + b*x])/(2*b^3) - ((b*c - a*d)^3*Erf[a + b*x])/(3*b^3*d) + ((c + d*x)^3*Erf[a + b*x])/(3*d)","A",9,5,14,0.3571,1,"{6361, 2226, 2205, 2209, 2212}"
17,1,118,0,0.1199407,"\int (c+d x) \text{Erf}(a+b x) \, dx","Int[(c + d*x)*Erf[a + b*x],x]","-\frac{(b c-a d)^2 \text{Erf}(a+b x)}{2 b^2 d}+\frac{e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^2}-\frac{d \text{Erf}(a+b x)}{4 b^2}+\frac{d e^{-(a+b x)^2} (a+b x)}{2 \sqrt{\pi } b^2}+\frac{(c+d x)^2 \text{Erf}(a+b x)}{2 d}","-\frac{(b c-a d)^2 \text{Erf}(a+b x)}{2 b^2 d}+\frac{e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^2}-\frac{d \text{Erf}(a+b x)}{4 b^2}+\frac{d e^{-(a+b x)^2} (a+b x)}{2 \sqrt{\pi } b^2}+\frac{(c+d x)^2 \text{Erf}(a+b x)}{2 d}",1,"(b*c - a*d)/(b^2*E^(a + b*x)^2*Sqrt[Pi]) + (d*(a + b*x))/(2*b^2*E^(a + b*x)^2*Sqrt[Pi]) - (d*Erf[a + b*x])/(4*b^2) - ((b*c - a*d)^2*Erf[a + b*x])/(2*b^2*d) + ((c + d*x)^2*Erf[a + b*x])/(2*d)","A",7,5,12,0.4167,1,"{6361, 2226, 2205, 2209, 2212}"
18,1,36,0,0.0069472,"\int \text{Erf}(a+b x) \, dx","Int[Erf[a + b*x],x]","\frac{(a+b x) \text{Erf}(a+b x)}{b}+\frac{e^{-(a+b x)^2}}{\sqrt{\pi } b}","\frac{(a+b x) \text{Erf}(a+b x)}{b}+\frac{e^{-(a+b x)^2}}{\sqrt{\pi } b}",1,"1/(b*E^(a + b*x)^2*Sqrt[Pi]) + ((a + b*x)*Erf[a + b*x])/b","A",1,1,6,0.1667,1,"{6349}"
19,0,0,0,0.0147108,"\int \frac{\text{Erf}(a+b x)}{c+d x} \, dx","Int[Erf[a + b*x]/(c + d*x),x]","\int \frac{\text{Erf}(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\text{Erf}(a+b x)}{c+d x},x\right)",0,"Defer[Int][Erf[a + b*x]/(c + d*x), x]","A",0,0,0,0,-1,"{}"
20,0,0,0,0.0408822,"\int \frac{\text{Erf}(a+b x)}{(c+d x)^2} \, dx","Int[Erf[a + b*x]/(c + d*x)^2,x]","\int \frac{\text{Erf}(a+b x)}{(c+d x)^2} \, dx","\frac{2 b \text{Int}\left(\frac{e^{-(a+b x)^2}}{c+d x},x\right)}{\sqrt{\pi } d}-\frac{\text{Erf}(a+b x)}{d (c+d x)}",0,"-(Erf[a + b*x]/(d*(c + d*x))) + (2*b*Defer[Int][1/(E^(a + b*x)^2*(c + d*x)), x])/(d*Sqrt[Pi])","A",0,0,0,0,-1,"{}"
21,0,0,0,0.0839015,"\int \frac{\text{Erf}(a+b x)}{(c+d x)^3} \, dx","Int[Erf[a + b*x]/(c + d*x)^3,x]","\int \frac{\text{Erf}(a+b x)}{(c+d x)^3} \, dx","\frac{2 b^2 (b c-a d) \text{Int}\left(\frac{e^{-(a+b x)^2}}{c+d x},x\right)}{\sqrt{\pi } d^3}-\frac{b^2 \text{Erf}(a+b x)}{d^3}-\frac{b e^{-(a+b x)^2}}{\sqrt{\pi } d^2 (c+d x)}-\frac{\text{Erf}(a+b x)}{2 d (c+d x)^2}",0,"-(b/(d^2*E^(a + b*x)^2*Sqrt[Pi]*(c + d*x))) - (b^2*Erf[a + b*x])/d^3 - Erf[a + b*x]/(2*d*(c + d*x)^2) + (2*b^2*(b*c - a*d)*Defer[Int][1/(E^(a + b*x)^2*(c + d*x)), x])/(d^3*Sqrt[Pi])","A",0,0,0,0,-1,"{}"
22,1,178,0,0.2942055,"\int x^5 \text{Erf}(b x)^2 \, dx","Int[x^5*Erf[b*x]^2,x]","\frac{x^5 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } b}+\frac{5 x^3 e^{-b^2 x^2} \text{Erf}(b x)}{6 \sqrt{\pi } b^3}+\frac{5 x e^{-b^2 x^2} \text{Erf}(b x)}{4 \sqrt{\pi } b^5}-\frac{5 \text{Erf}(b x)^2}{16 b^6}+\frac{x^4 e^{-2 b^2 x^2}}{6 \pi  b^2}+\frac{7 x^2 e^{-2 b^2 x^2}}{12 \pi  b^4}+\frac{11 e^{-2 b^2 x^2}}{12 \pi  b^6}+\frac{1}{6} x^6 \text{Erf}(b x)^2","\frac{x^5 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } b}+\frac{5 x^3 e^{-b^2 x^2} \text{Erf}(b x)}{6 \sqrt{\pi } b^3}+\frac{5 x e^{-b^2 x^2} \text{Erf}(b x)}{4 \sqrt{\pi } b^5}-\frac{5 \text{Erf}(b x)^2}{16 b^6}+\frac{x^4 e^{-2 b^2 x^2}}{6 \pi  b^2}+\frac{7 x^2 e^{-2 b^2 x^2}}{12 \pi  b^4}+\frac{11 e^{-2 b^2 x^2}}{12 \pi  b^6}+\frac{1}{6} x^6 \text{Erf}(b x)^2",1,"11/(12*b^6*E^(2*b^2*x^2)*Pi) + (7*x^2)/(12*b^4*E^(2*b^2*x^2)*Pi) + x^4/(6*b^2*E^(2*b^2*x^2)*Pi) + (5*x*Erf[b*x])/(4*b^5*E^(b^2*x^2)*Sqrt[Pi]) + (5*x^3*Erf[b*x])/(6*b^3*E^(b^2*x^2)*Sqrt[Pi]) + (x^5*Erf[b*x])/(3*b*E^(b^2*x^2)*Sqrt[Pi]) - (5*Erf[b*x]^2)/(16*b^6) + (x^6*Erf[b*x]^2)/6","A",12,6,10,0.6000,1,"{6364, 6385, 6373, 30, 2209, 2212}"
23,1,126,0,0.1813769,"\int x^3 \text{Erf}(b x)^2 \, dx","Int[x^3*Erf[b*x]^2,x]","\frac{x^3 e^{-b^2 x^2} \text{Erf}(b x)}{2 \sqrt{\pi } b}+\frac{3 x e^{-b^2 x^2} \text{Erf}(b x)}{4 \sqrt{\pi } b^3}-\frac{3 \text{Erf}(b x)^2}{16 b^4}+\frac{x^2 e^{-2 b^2 x^2}}{4 \pi  b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^4}+\frac{1}{4} x^4 \text{Erf}(b x)^2","\frac{x^3 e^{-b^2 x^2} \text{Erf}(b x)}{2 \sqrt{\pi } b}+\frac{3 x e^{-b^2 x^2} \text{Erf}(b x)}{4 \sqrt{\pi } b^3}-\frac{3 \text{Erf}(b x)^2}{16 b^4}+\frac{x^2 e^{-2 b^2 x^2}}{4 \pi  b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^4}+\frac{1}{4} x^4 \text{Erf}(b x)^2",1,"1/(2*b^4*E^(2*b^2*x^2)*Pi) + x^2/(4*b^2*E^(2*b^2*x^2)*Pi) + (3*x*Erf[b*x])/(4*b^3*E^(b^2*x^2)*Sqrt[Pi]) + (x^3*Erf[b*x])/(2*b*E^(b^2*x^2)*Sqrt[Pi]) - (3*Erf[b*x]^2)/(16*b^4) + (x^4*Erf[b*x]^2)/4","A",8,6,10,0.6000,1,"{6364, 6385, 6373, 30, 2209, 2212}"
24,1,71,0,0.0864978,"\int x \text{Erf}(b x)^2 \, dx","Int[x*Erf[b*x]^2,x]","\frac{x e^{-b^2 x^2} \text{Erf}(b x)}{\sqrt{\pi } b}-\frac{\text{Erf}(b x)^2}{4 b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^2}+\frac{1}{2} x^2 \text{Erf}(b x)^2","\frac{x e^{-b^2 x^2} \text{Erf}(b x)}{\sqrt{\pi } b}-\frac{\text{Erf}(b x)^2}{4 b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^2}+\frac{1}{2} x^2 \text{Erf}(b x)^2",1,"1/(2*b^2*E^(2*b^2*x^2)*Pi) + (x*Erf[b*x])/(b*E^(b^2*x^2)*Sqrt[Pi]) - Erf[b*x]^2/(4*b^2) + (x^2*Erf[b*x]^2)/2","A",5,5,8,0.6250,1,"{6364, 6385, 6373, 30, 2209}"
25,0,0,0,0.0170109,"\int \frac{\text{Erf}(b x)^2}{x} \, dx","Int[Erf[b*x]^2/x,x]","\int \frac{\text{Erf}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Erf}(b x)^2}{x},x\right)",0,"Defer[Int][Erf[b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
26,1,67,0,0.0996888,"\int \frac{\text{Erf}(b x)^2}{x^3} \, dx","Int[Erf[b*x]^2/x^3,x]","-\frac{2 b e^{-b^2 x^2} \text{Erf}(b x)}{\sqrt{\pi } x}+b^2 \left(-\text{Erf}(b x)^2\right)+\frac{2 b^2 \text{Ei}\left(-2 b^2 x^2\right)}{\pi }-\frac{\text{Erf}(b x)^2}{2 x^2}","-\frac{2 b e^{-b^2 x^2} \text{Erf}(b x)}{\sqrt{\pi } x}+b^2 \left(-\text{Erf}(b x)^2\right)+\frac{2 b^2 \text{Ei}\left(-2 b^2 x^2\right)}{\pi }-\frac{\text{Erf}(b x)^2}{2 x^2}",1,"(-2*b*Erf[b*x])/(E^(b^2*x^2)*Sqrt[Pi]*x) - b^2*Erf[b*x]^2 - Erf[b*x]^2/(2*x^2) + (2*b^2*ExpIntegralEi[-2*b^2*x^2])/Pi","A",5,5,10,0.5000,1,"{6364, 6391, 6373, 30, 2210}"
27,1,125,0,0.1829696,"\int \frac{\text{Erf}(b x)^2}{x^5} \, dx","Int[Erf[b*x]^2/x^5,x]","\frac{2 b^3 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } x}-\frac{b e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } x^3}+\frac{1}{3} b^4 \text{Erf}(b x)^2-\frac{4 b^4 \text{Ei}\left(-2 b^2 x^2\right)}{3 \pi }-\frac{b^2 e^{-2 b^2 x^2}}{3 \pi  x^2}-\frac{\text{Erf}(b x)^2}{4 x^4}","\frac{2 b^3 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } x}-\frac{b e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } x^3}+\frac{1}{3} b^4 \text{Erf}(b x)^2-\frac{4 b^4 \text{Ei}\left(-2 b^2 x^2\right)}{3 \pi }-\frac{b^2 e^{-2 b^2 x^2}}{3 \pi  x^2}-\frac{\text{Erf}(b x)^2}{4 x^4}",1,"-b^2/(3*E^(2*b^2*x^2)*Pi*x^2) - (b*Erf[b*x])/(3*E^(b^2*x^2)*Sqrt[Pi]*x^3) + (2*b^3*Erf[b*x])/(3*E^(b^2*x^2)*Sqrt[Pi]*x) + (b^4*Erf[b*x]^2)/3 - Erf[b*x]^2/(4*x^4) - (4*b^4*ExpIntegralEi[-2*b^2*x^2])/(3*Pi)","A",8,6,10,0.6000,1,"{6364, 6391, 6373, 30, 2210, 2214}"
28,1,177,0,0.2922378,"\int \frac{\text{Erf}(b x)^2}{x^7} \, dx","Int[Erf[b*x]^2/x^7,x]","-\frac{8 b^5 e^{-b^2 x^2} \text{Erf}(b x)}{45 \sqrt{\pi } x}+\frac{4 b^3 e^{-b^2 x^2} \text{Erf}(b x)}{45 \sqrt{\pi } x^3}-\frac{2 b e^{-b^2 x^2} \text{Erf}(b x)}{15 \sqrt{\pi } x^5}-\frac{4}{45} b^6 \text{Erf}(b x)^2+\frac{28 b^6 \text{Ei}\left(-2 b^2 x^2\right)}{45 \pi }+\frac{2 b^4 e^{-2 b^2 x^2}}{9 \pi  x^2}-\frac{b^2 e^{-2 b^2 x^2}}{15 \pi  x^4}-\frac{\text{Erf}(b x)^2}{6 x^6}","-\frac{8 b^5 e^{-b^2 x^2} \text{Erf}(b x)}{45 \sqrt{\pi } x}+\frac{4 b^3 e^{-b^2 x^2} \text{Erf}(b x)}{45 \sqrt{\pi } x^3}-\frac{2 b e^{-b^2 x^2} \text{Erf}(b x)}{15 \sqrt{\pi } x^5}-\frac{4}{45} b^6 \text{Erf}(b x)^2+\frac{28 b^6 \text{Ei}\left(-2 b^2 x^2\right)}{45 \pi }+\frac{2 b^4 e^{-2 b^2 x^2}}{9 \pi  x^2}-\frac{b^2 e^{-2 b^2 x^2}}{15 \pi  x^4}-\frac{\text{Erf}(b x)^2}{6 x^6}",1,"-b^2/(15*E^(2*b^2*x^2)*Pi*x^4) + (2*b^4)/(9*E^(2*b^2*x^2)*Pi*x^2) - (2*b*Erf[b*x])/(15*E^(b^2*x^2)*Sqrt[Pi]*x^5) + (4*b^3*Erf[b*x])/(45*E^(b^2*x^2)*Sqrt[Pi]*x^3) - (8*b^5*Erf[b*x])/(45*E^(b^2*x^2)*Sqrt[Pi]*x) - (4*b^6*Erf[b*x]^2)/45 - Erf[b*x]^2/(6*x^6) + (28*b^6*ExpIntegralEi[-2*b^2*x^2])/(45*Pi)","A",12,6,10,0.6000,1,"{6364, 6391, 6373, 30, 2210, 2214}"
29,1,165,0,0.2470055,"\int x^4 \text{Erf}(b x)^2 \, dx","Int[x^4*Erf[b*x]^2,x]","\frac{2 x^4 e^{-b^2 x^2} \text{Erf}(b x)}{5 \sqrt{\pi } b}+\frac{4 x^2 e^{-b^2 x^2} \text{Erf}(b x)}{5 \sqrt{\pi } b^3}+\frac{4 e^{-b^2 x^2} \text{Erf}(b x)}{5 \sqrt{\pi } b^5}-\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{40 \sqrt{2 \pi } b^5}+\frac{x^3 e^{-2 b^2 x^2}}{5 \pi  b^2}+\frac{11 x e^{-2 b^2 x^2}}{20 \pi  b^4}+\frac{1}{5} x^5 \text{Erf}(b x)^2","\frac{2 x^4 e^{-b^2 x^2} \text{Erf}(b x)}{5 \sqrt{\pi } b}+\frac{4 x^2 e^{-b^2 x^2} \text{Erf}(b x)}{5 \sqrt{\pi } b^3}+\frac{4 e^{-b^2 x^2} \text{Erf}(b x)}{5 \sqrt{\pi } b^5}-\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{40 \sqrt{2 \pi } b^5}+\frac{x^3 e^{-2 b^2 x^2}}{5 \pi  b^2}+\frac{11 x e^{-2 b^2 x^2}}{20 \pi  b^4}+\frac{1}{5} x^5 \text{Erf}(b x)^2",1,"(11*x)/(20*b^4*E^(2*b^2*x^2)*Pi) + x^3/(5*b^2*E^(2*b^2*x^2)*Pi) + (4*Erf[b*x])/(5*b^5*E^(b^2*x^2)*Sqrt[Pi]) + (4*x^2*Erf[b*x])/(5*b^3*E^(b^2*x^2)*Sqrt[Pi]) + (2*x^4*Erf[b*x])/(5*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^5*Erf[b*x]^2)/5 - (43*Erf[Sqrt[2]*b*x])/(40*b^5*Sqrt[2*Pi])","A",10,5,10,0.5000,1,"{6364, 6385, 6382, 2205, 2212}"
30,1,113,0,0.1359305,"\int x^2 \text{Erf}(b x)^2 \, dx","Int[x^2*Erf[b*x]^2,x]","\frac{2 x^2 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } b}+\frac{2 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } b^3}-\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{6 \sqrt{2 \pi } b^3}+\frac{x e^{-2 b^2 x^2}}{3 \pi  b^2}+\frac{1}{3} x^3 \text{Erf}(b x)^2","\frac{2 x^2 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } b}+\frac{2 e^{-b^2 x^2} \text{Erf}(b x)}{3 \sqrt{\pi } b^3}-\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{6 \sqrt{2 \pi } b^3}+\frac{x e^{-2 b^2 x^2}}{3 \pi  b^2}+\frac{1}{3} x^3 \text{Erf}(b x)^2",1,"x/(3*b^2*E^(2*b^2*x^2)*Pi) + (2*Erf[b*x])/(3*b^3*E^(b^2*x^2)*Sqrt[Pi]) + (2*x^2*Erf[b*x])/(3*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^3*Erf[b*x]^2)/3 - (5*Erf[Sqrt[2]*b*x])/(6*b^3*Sqrt[2*Pi])","A",6,5,10,0.5000,1,"{6364, 6385, 6382, 2205, 2212}"
31,1,56,0,0.05024,"\int \text{Erf}(b x)^2 \, dx","Int[Erf[b*x]^2,x]","\frac{2 e^{-b^2 x^2} \text{Erf}(b x)}{\sqrt{\pi } b}+x \text{Erf}(b x)^2-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} b x\right)}{b}","\frac{2 e^{-b^2 x^2} \text{Erf}(b x)}{\sqrt{\pi } b}+x \text{Erf}(b x)^2-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} b x\right)}{b}",1,"(2*Erf[b*x])/(b*E^(b^2*x^2)*Sqrt[Pi]) + x*Erf[b*x]^2 - (Sqrt[2/Pi]*Erf[Sqrt[2]*b*x])/b","A",4,4,6,0.6667,1,"{6352, 12, 6382, 2205}"
32,0,0,0,0.0180231,"\int \frac{\text{Erf}(b x)^2}{x^2} \, dx","Int[Erf[b*x]^2/x^2,x]","\int \frac{\text{Erf}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Erf}(b x)^2}{x^2},x\right)",0,"Defer[Int][Erf[b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
33,0,0,0,0.0172838,"\int \frac{\text{Erf}(b x)^2}{x^4} \, dx","Int[Erf[b*x]^2/x^4,x]","\int \frac{\text{Erf}(b x)^2}{x^4} \, dx","\text{Int}\left(\frac{\text{Erf}(b x)^2}{x^4},x\right)",0,"Defer[Int][Erf[b*x]^2/x^4, x]","A",0,0,0,0,-1,"{}"
34,0,0,0,0.0174087,"\int \frac{\text{Erf}(b x)^2}{x^6} \, dx","Int[Erf[b*x]^2/x^6,x]","\int \frac{\text{Erf}(b x)^2}{x^6} \, dx","\text{Int}\left(\frac{\text{Erf}(b x)^2}{x^6},x\right)",0,"Defer[Int][Erf[b*x]^2/x^6, x]","A",0,0,0,0,-1,"{}"
35,1,375,0,0.4216236,"\int (c+d x)^2 \text{Erf}(a+b x)^2 \, dx","Int[(c + d*x)^2*Erf[a + b*x]^2,x]","\frac{d (a+b x)^2 (b c-a d) \text{Erf}(a+b x)^2}{b^3}+\frac{(a+b x) (b c-a d)^2 \text{Erf}(a+b x)^2}{b^3}+\frac{2 d e^{-(a+b x)^2} (a+b x) (b c-a d) \text{Erf}(a+b x)}{\sqrt{\pi } b^3}-\frac{d (b c-a d) \text{Erf}(a+b x)^2}{2 b^3}+\frac{2 e^{-(a+b x)^2} (b c-a d)^2 \text{Erf}(a+b x)}{\sqrt{\pi } b^3}-\frac{\sqrt{\frac{2}{\pi }} (b c-a d)^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^3}+\frac{d e^{-2 (a+b x)^2} (b c-a d)}{\pi  b^3}+\frac{d^2 (a+b x)^3 \text{Erf}(a+b x)^2}{3 b^3}+\frac{2 d^2 e^{-(a+b x)^2} (a+b x)^2 \text{Erf}(a+b x)}{3 \sqrt{\pi } b^3}+\frac{2 d^2 e^{-(a+b x)^2} \text{Erf}(a+b x)}{3 \sqrt{\pi } b^3}-\frac{5 d^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{6 \sqrt{2 \pi } b^3}+\frac{d^2 e^{-2 (a+b x)^2} (a+b x)}{3 \pi  b^3}","\frac{d (a+b x)^2 (b c-a d) \text{Erf}(a+b x)^2}{b^3}+\frac{(a+b x) (b c-a d)^2 \text{Erf}(a+b x)^2}{b^3}+\frac{2 d e^{-(a+b x)^2} (a+b x) (b c-a d) \text{Erf}(a+b x)}{\sqrt{\pi } b^3}-\frac{d (b c-a d) \text{Erf}(a+b x)^2}{2 b^3}+\frac{2 e^{-(a+b x)^2} (b c-a d)^2 \text{Erf}(a+b x)}{\sqrt{\pi } b^3}-\frac{\sqrt{\frac{2}{\pi }} (b c-a d)^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^3}+\frac{d e^{-2 (a+b x)^2} (b c-a d)}{\pi  b^3}+\frac{d^2 (a+b x)^3 \text{Erf}(a+b x)^2}{3 b^3}+\frac{2 d^2 e^{-(a+b x)^2} (a+b x)^2 \text{Erf}(a+b x)}{3 \sqrt{\pi } b^3}+\frac{2 d^2 e^{-(a+b x)^2} \text{Erf}(a+b x)}{3 \sqrt{\pi } b^3}-\frac{5 d^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{6 \sqrt{2 \pi } b^3}+\frac{d^2 e^{-2 (a+b x)^2} (a+b x)}{3 \pi  b^3}",1,"(d*(b*c - a*d))/(b^3*E^(2*(a + b*x)^2)*Pi) + (d^2*(a + b*x))/(3*b^3*E^(2*(a + b*x)^2)*Pi) + (2*d^2*Erf[a + b*x])/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) + (2*(b*c - a*d)^2*Erf[a + b*x])/(b^3*E^(a + b*x)^2*Sqrt[Pi]) + (2*d*(b*c - a*d)*(a + b*x)*Erf[a + b*x])/(b^3*E^(a + b*x)^2*Sqrt[Pi]) + (2*d^2*(a + b*x)^2*Erf[a + b*x])/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) - (d*(b*c - a*d)*Erf[a + b*x]^2)/(2*b^3) + ((b*c - a*d)^2*(a + b*x)*Erf[a + b*x]^2)/b^3 + (d*(b*c - a*d)*(a + b*x)^2*Erf[a + b*x]^2)/b^3 + (d^2*(a + b*x)^3*Erf[a + b*x]^2)/(3*b^3) - ((b*c - a*d)^2*Sqrt[2/Pi]*Erf[Sqrt[2]*(a + b*x)])/b^3 - (5*d^2*Erf[Sqrt[2]*(a + b*x)])/(6*b^3*Sqrt[2*Pi])","A",16,10,16,0.6250,1,"{6367, 6352, 6382, 2205, 6364, 6385, 6373, 30, 2209, 2212}"
36,1,188,0,0.1756997,"\int (c+d x) \text{Erf}(a+b x)^2 \, dx","Int[(c + d*x)*Erf[a + b*x]^2,x]","\frac{(a+b x) (b c-a d) \text{Erf}(a+b x)^2}{b^2}+\frac{2 e^{-(a+b x)^2} (b c-a d) \text{Erf}(a+b x)}{\sqrt{\pi } b^2}-\frac{\sqrt{\frac{2}{\pi }} (b c-a d) \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^2}+\frac{d (a+b x)^2 \text{Erf}(a+b x)^2}{2 b^2}-\frac{d \text{Erf}(a+b x)^2}{4 b^2}+\frac{d e^{-(a+b x)^2} (a+b x) \text{Erf}(a+b x)}{\sqrt{\pi } b^2}+\frac{d e^{-2 (a+b x)^2}}{2 \pi  b^2}","\frac{(a+b x) (b c-a d) \text{Erf}(a+b x)^2}{b^2}+\frac{2 e^{-(a+b x)^2} (b c-a d) \text{Erf}(a+b x)}{\sqrt{\pi } b^2}-\frac{\sqrt{\frac{2}{\pi }} (b c-a d) \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^2}+\frac{d (a+b x)^2 \text{Erf}(a+b x)^2}{2 b^2}-\frac{d \text{Erf}(a+b x)^2}{4 b^2}+\frac{d e^{-(a+b x)^2} (a+b x) \text{Erf}(a+b x)}{\sqrt{\pi } b^2}+\frac{d e^{-2 (a+b x)^2}}{2 \pi  b^2}",1,"d/(2*b^2*E^(2*(a + b*x)^2)*Pi) + (2*(b*c - a*d)*Erf[a + b*x])/(b^2*E^(a + b*x)^2*Sqrt[Pi]) + (d*(a + b*x)*Erf[a + b*x])/(b^2*E^(a + b*x)^2*Sqrt[Pi]) - (d*Erf[a + b*x]^2)/(4*b^2) + ((b*c - a*d)*(a + b*x)*Erf[a + b*x]^2)/b^2 + (d*(a + b*x)^2*Erf[a + b*x]^2)/(2*b^2) - ((b*c - a*d)*Sqrt[2/Pi]*Erf[Sqrt[2]*(a + b*x)])/b^2","A",10,9,14,0.6429,1,"{6367, 6352, 6382, 2205, 6364, 6385, 6373, 30, 2209}"
37,1,71,0,0.1796264,"\int \text{Erf}(a+b x)^2 \, dx","Int[Erf[a + b*x]^2,x]","\frac{(a+b x) \text{Erf}(a+b x)^2}{b}+\frac{2 e^{-(a+b x)^2} \text{Erf}(a+b x)}{\sqrt{\pi } b}-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b}","\frac{(a+b x) \text{Erf}(a+b x)^2}{b}+\frac{2 e^{-(a+b x)^2} \text{Erf}(a+b x)}{\sqrt{\pi } b}-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b}",1,"(2*Erf[a + b*x])/(b*E^(a + b*x)^2*Sqrt[Pi]) + ((a + b*x)*Erf[a + b*x]^2)/b - (Sqrt[2/Pi]*Erf[Sqrt[2]*(a + b*x)])/b","A",4,3,8,0.3750,1,"{6352, 6382, 2205}"
38,0,0,0,0.0239698,"\int \frac{\text{Erf}(a+b x)^2}{c+d x} \, dx","Int[Erf[a + b*x]^2/(c + d*x),x]","\int \frac{\text{Erf}(a+b x)^2}{c+d x} \, dx","\text{Int}\left(\frac{\text{Erf}(a+b x)^2}{c+d x},x\right)",0,"Defer[Int][Erf[a + b*x]^2/(c + d*x), x]","A",0,0,0,0,-1,"{}"
39,0,0,0,0.0222502,"\int \frac{\text{Erf}(a+b x)^2}{(c+d x)^2} \, dx","Int[Erf[a + b*x]^2/(c + d*x)^2,x]","\int \frac{\text{Erf}(a+b x)^2}{(c+d x)^2} \, dx","\text{Int}\left(\frac{\text{Erf}(a+b x)^2}{(c+d x)^2},x\right)",0,"Defer[Int][Erf[a + b*x]^2/(c + d*x)^2, x]","A",0,0,0,0,-1,"{}"
40,1,102,0,0.2317165,"\int x^2 \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*Erf[d*(a + b*Log[c*x^n])],x]","\frac{1}{3} x^3 \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{3} x^3 \left(c x^n\right)^{-3/n} e^{\frac{9-12 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{3}{n}}{2 b d}\right)","\frac{1}{3} x^3 \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{3} x^3 \left(c x^n\right)^{-3/n} e^{\frac{9-12 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{3}{n}}{2 b d}\right)",1,"(x^3*Erf[d*(a + b*Log[c*x^n])])/3 - (E^((9 - 12*a*b*d^2*n)/(4*b^2*d^2*n^2))*x^3*Erf[(2*a*b*d^2 - 3/n + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/(3*(c*x^n)^(3/n))","A",7,7,17,0.4118,1,"{6401, 2278, 2274, 15, 2276, 2234, 2205}"
41,1,94,0,0.1760363,"\int x \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*Erf[d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x^2 \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x^2 \left(c x^n\right)^{-2/n} e^{\frac{1-2 a b d^2 n}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{b d}\right)","\frac{1}{2} x^2 \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x^2 \left(c x^n\right)^{-2/n} e^{\frac{1-2 a b d^2 n}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{b d}\right)",1,"(x^2*Erf[d*(a + b*Log[c*x^n])])/2 - (E^((1 - 2*a*b*d^2*n)/(b^2*d^2*n^2))*x^2*Erf[(a*b*d^2 - n^(-1) + b^2*d^2*Log[c*x^n])/(b*d)])/(2*(c*x^n)^(2/n))","A",7,7,15,0.4667,1,"{6401, 2278, 2274, 15, 2276, 2234, 2205}"
42,1,93,0,0.1285921,"\int \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[Erf[d*(a + b*Log[c*x^n])],x]","x \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-x \left(c x^n\right)^{-1/n} e^{\frac{1-4 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{2 b d}\right)","x \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-x \left(c x^n\right)^{-1/n} e^{\frac{1-4 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{2 b d}\right)",1,"x*Erf[d*(a + b*Log[c*x^n])] - (E^((1 - 4*a*b*d^2*n)/(4*b^2*d^2*n^2))*x*Erf[(2*a*b*d^2 - n^(-1) + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/(c*x^n)^n^(-1)","A",7,7,13,0.5385,1,"{6397, 2277, 2274, 15, 2276, 2234, 2205}"
43,1,65,0,0.0463315,"\int \frac{\text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[Erf[d*(a + b*Log[c*x^n])]/x,x]","\frac{e^{-d^2 \left(a+b \log \left(c x^n\right)\right)^2}}{\sqrt{\pi } b d n}+\frac{\left(a+b \log \left(c x^n\right)\right) \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}","\frac{e^{-d^2 \left(a+b \log \left(c x^n\right)\right)^2}}{\sqrt{\pi } b d n}+\frac{\left(a+b \log \left(c x^n\right)\right) \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}",1,"1/(b*d*E^(d^2*(a + b*Log[c*x^n])^2)*n*Sqrt[Pi]) + (Erf[d*(a + b*Log[c*x^n])]*(a + b*Log[c*x^n]))/(b*n)","A",3,1,17,0.05882,1,"{6349}"
44,1,92,0,0.2133306,"\int \frac{\text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[Erf[d*(a + b*Log[c*x^n])]/x^2,x]","\frac{\left(c x^n\right)^{\frac{1}{n}} e^{\frac{a}{b n}+\frac{1}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{2 b d}\right)}{x}-\frac{\text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}","\frac{\left(c x^n\right)^{\frac{1}{n}} e^{\frac{a}{b n}+\frac{1}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{2 b d}\right)}{x}-\frac{\text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}",1,"-(Erf[d*(a + b*Log[c*x^n])]/x) + (E^(1/(4*b^2*d^2*n^2) + a/(b*n))*(c*x^n)^n^(-1)*Erf[(2*a*b*d^2 + n^(-1) + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/x","A",7,7,17,0.4118,1,"{6401, 2278, 2274, 15, 2276, 2234, 2205}"
45,1,95,0,0.2149494,"\int \frac{\text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[Erf[d*(a + b*Log[c*x^n])]/x^3,x]","\frac{\left(c x^n\right)^{2/n} e^{\frac{2 a b d^2 n+1}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2 n+b^2 d^2 n \log \left(c x^n\right)+1}{b d n}\right)}{2 x^2}-\frac{\text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}","\frac{\left(c x^n\right)^{2/n} e^{\frac{2 a b d^2 n+1}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2 n+b^2 d^2 n \log \left(c x^n\right)+1}{b d n}\right)}{2 x^2}-\frac{\text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}",1,"-Erf[d*(a + b*Log[c*x^n])]/(2*x^2) + (E^((1 + 2*a*b*d^2*n)/(b^2*d^2*n^2))*(c*x^n)^(2/n)*Erf[(1 + a*b*d^2*n + b^2*d^2*n*Log[c*x^n])/(b*d*n)])/(2*x^2)","A",7,7,17,0.4118,1,"{6401, 2278, 2274, 15, 2276, 2234, 2205}"
46,1,125,0,0.3126409,"\int (e x)^m \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Erf[d*(a + b*Log[c*x^n])],x]","\frac{x (e x)^m \left(c x^n\right)^{-\frac{m+1}{n}} \exp \left(\frac{(m+1) \left(-4 a b d^2 n+m+1\right)}{4 b^2 d^2 n^2}\right) \text{Erf}\left(\frac{-2 a b d^2 n-2 b^2 d^2 n \log \left(c x^n\right)+m+1}{2 b d n}\right)}{m+1}+\frac{(e x)^{m+1} \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}","\frac{x (e x)^m \left(c x^n\right)^{-\frac{m+1}{n}} \exp \left(\frac{(m+1) \left(-4 a b d^2 n+m+1\right)}{4 b^2 d^2 n^2}\right) \text{Erf}\left(\frac{-2 a b d^2 n-2 b^2 d^2 n \log \left(c x^n\right)+m+1}{2 b d n}\right)}{m+1}+\frac{(e x)^{m+1} \text{Erf}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}",1,"((e*x)^(1 + m)*Erf[d*(a + b*Log[c*x^n])])/(e*(1 + m)) + (E^(((1 + m)*(1 + m - 4*a*b*d^2*n))/(4*b^2*d^2*n^2))*x*(e*x)^m*Erf[(1 + m - 2*a*b*d^2*n - 2*b^2*d^2*n*Log[c*x^n])/(2*b*d*n)])/((1 + m)*(c*x^n)^((1 + m)/n))","A",8,8,19,0.4211,1,"{6401, 2278, 2274, 15, 20, 2276, 2234, 2205}"
47,1,21,0,0.0297161,"\int e^{c-b^2 x^2} \text{Erf}(b x)^2 \, dx","Int[E^(c - b^2*x^2)*Erf[b*x]^2,x]","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^3}{6 b}","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^3}{6 b}",1,"(E^c*Sqrt[Pi]*Erf[b*x]^3)/(6*b)","A",2,2,19,0.1053,1,"{6373, 30}"
48,1,21,0,0.01828,"\int e^{c-b^2 x^2} \text{Erf}(b x) \, dx","Int[E^(c - b^2*x^2)*Erf[b*x],x]","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^2}{4 b}","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^2}{4 b}",1,"(E^c*Sqrt[Pi]*Erf[b*x]^2)/(4*b)","A",2,2,17,0.1176,1,"{6373, 30}"
49,1,20,0,0.0285661,"\int \frac{e^{c-b^2 x^2}}{\text{Erf}(b x)} \, dx","Int[E^(c - b^2*x^2)/Erf[b*x],x]","\frac{\sqrt{\pi } e^c \log (\text{Erf}(b x))}{2 b}","\frac{\sqrt{\pi } e^c \log (\text{Erf}(b x))}{2 b}",1,"(E^c*Sqrt[Pi]*Log[Erf[b*x]])/(2*b)","A",2,2,19,0.1053,1,"{6373, 29}"
50,1,21,0,0.0276506,"\int \frac{e^{c-b^2 x^2}}{\text{Erf}(b x)^2} \, dx","Int[E^(c - b^2*x^2)/Erf[b*x]^2,x]","-\frac{\sqrt{\pi } e^c}{2 b \text{Erf}(b x)}","-\frac{\sqrt{\pi } e^c}{2 b \text{Erf}(b x)}",1,"-(E^c*Sqrt[Pi])/(2*b*Erf[b*x])","A",2,2,19,0.1053,1,"{6373, 30}"
51,1,21,0,0.0287007,"\int \frac{e^{c-b^2 x^2}}{\text{Erf}(b x)^3} \, dx","Int[E^(c - b^2*x^2)/Erf[b*x]^3,x]","-\frac{\sqrt{\pi } e^c}{4 b \text{Erf}(b x)^2}","-\frac{\sqrt{\pi } e^c}{4 b \text{Erf}(b x)^2}",1,"-(E^c*Sqrt[Pi])/(4*b*Erf[b*x]^2)","A",2,2,19,0.1053,1,"{6373, 30}"
52,1,28,0,0.0367038,"\int e^{c-b^2 x^2} \text{Erf}(b x)^n \, dx","Int[E^(c - b^2*x^2)*Erf[b*x]^n,x]","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^{n+1}}{2 b (n+1)}","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^{n+1}}{2 b (n+1)}",1,"(E^c*Sqrt[Pi]*Erf[b*x]^(1 + n))/(2*b*(1 + n))","A",2,2,19,0.1053,1,"{6373, 30}"
53,1,285,0,0.4359859,"\int e^{c+d x^2} x^5 \text{Erf}(b x) \, dx","Int[E^(c + d*x^2)*x^5*Erf[b*x],x]","\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \left(b^2-d\right)^{3/2}}-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{d^3 \sqrt{b^2-d}}-\frac{b x e^{c-x^2 \left(b^2-d\right)}}{\sqrt{\pi } d^2 \left(b^2-d\right)}-\frac{3 b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{8 d \left(b^2-d\right)^{5/2}}+\frac{b x^3 e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{3 b x e^{c-x^2 \left(b^2-d\right)}}{4 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{x^2 \text{Erf}(b x) e^{c+d x^2}}{d^2}+\frac{\text{Erf}(b x) e^{c+d x^2}}{d^3}+\frac{x^4 \text{Erf}(b x) e^{c+d x^2}}{2 d}","\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \left(b^2-d\right)^{3/2}}-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{d^3 \sqrt{b^2-d}}-\frac{b x e^{c-x^2 \left(b^2-d\right)}}{\sqrt{\pi } d^2 \left(b^2-d\right)}-\frac{3 b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{8 d \left(b^2-d\right)^{5/2}}+\frac{b x^3 e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{3 b x e^{c-x^2 \left(b^2-d\right)}}{4 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{x^2 \text{Erf}(b x) e^{c+d x^2}}{d^2}+\frac{\text{Erf}(b x) e^{c+d x^2}}{d^3}+\frac{x^4 \text{Erf}(b x) e^{c+d x^2}}{2 d}",1,"-((b*E^(c - (b^2 - d)*x^2)*x)/((b^2 - d)*d^2*Sqrt[Pi])) + (3*b*E^(c - (b^2 - d)*x^2)*x)/(4*(b^2 - d)^2*d*Sqrt[Pi]) + (b*E^(c - (b^2 - d)*x^2)*x^3)/(2*(b^2 - d)*d*Sqrt[Pi]) + (E^(c + d*x^2)*Erf[b*x])/d^3 - (E^(c + d*x^2)*x^2*Erf[b*x])/d^2 + (E^(c + d*x^2)*x^4*Erf[b*x])/(2*d) - (b*E^c*Erf[Sqrt[b^2 - d]*x])/(Sqrt[b^2 - d]*d^3) + (b*E^c*Erf[Sqrt[b^2 - d]*x])/(2*(b^2 - d)^(3/2)*d^2) - (3*b*E^c*Erf[Sqrt[b^2 - d]*x])/(8*(b^2 - d)^(5/2)*d)","A",9,4,17,0.2353,1,"{6385, 6382, 2205, 2212}"
54,1,155,0,0.1579162,"\int e^{c+d x^2} x^3 \text{Erf}(b x) \, dx","Int[E^(c + d*x^2)*x^3*Erf[b*x],x]","\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \sqrt{b^2-d}}-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{4 d \left(b^2-d\right)^{3/2}}+\frac{b x e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{\text{Erf}(b x) e^{c+d x^2}}{2 d^2}+\frac{x^2 \text{Erf}(b x) e^{c+d x^2}}{2 d}","\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \sqrt{b^2-d}}-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{4 d \left(b^2-d\right)^{3/2}}+\frac{b x e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{\text{Erf}(b x) e^{c+d x^2}}{2 d^2}+\frac{x^2 \text{Erf}(b x) e^{c+d x^2}}{2 d}",1,"(b*E^(c - (b^2 - d)*x^2)*x)/(2*(b^2 - d)*d*Sqrt[Pi]) - (E^(c + d*x^2)*Erf[b*x])/(2*d^2) + (E^(c + d*x^2)*x^2*Erf[b*x])/(2*d) + (b*E^c*Erf[Sqrt[b^2 - d]*x])/(2*Sqrt[b^2 - d]*d^2) - (b*E^c*Erf[Sqrt[b^2 - d]*x])/(4*(b^2 - d)^(3/2)*d)","A",5,4,17,0.2353,1,"{6385, 6382, 2205, 2212}"
55,1,57,0,0.0387532,"\int e^{c+d x^2} x \text{Erf}(b x) \, dx","Int[E^(c + d*x^2)*x*Erf[b*x],x]","\frac{\text{Erf}(b x) e^{c+d x^2}}{2 d}-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d \sqrt{b^2-d}}","\frac{\text{Erf}(b x) e^{c+d x^2}}{2 d}-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d \sqrt{b^2-d}}",1,"(E^(c + d*x^2)*Erf[b*x])/(2*d) - (b*E^c*Erf[Sqrt[b^2 - d]*x])/(2*Sqrt[b^2 - d]*d)","A",2,2,15,0.1333,1,"{6382, 2205}"
56,0,0,0,0.0399124,"\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x} \, dx","Int[(E^(c + d*x^2)*Erf[b*x])/x,x]","\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x} \, dx","\text{Int}\left(\frac{\text{Erf}(b x) e^{c+d x^2}}{x},x\right)",0,"Defer[Int][(E^(c + d*x^2)*Erf[b*x])/x, x]","A",0,0,0,0,-1,"{}"
57,0,0,0,0.1538298,"\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^3} \, dx","Int[(E^(c + d*x^2)*Erf[b*x])/x^3,x]","\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^3} \, dx","d \text{Int}\left(\frac{\text{Erf}(b x) e^{c+d x^2}}{x},x\right)+b e^c \left(-\sqrt{b^2-d}\right) \text{Erf}\left(x \sqrt{b^2-d}\right)-\frac{b e^{c-x^2 \left(b^2-d\right)}}{\sqrt{\pi } x}-\frac{\text{Erf}(b x) e^{c+d x^2}}{2 x^2}",0,"-((b*E^(c - (b^2 - d)*x^2))/(Sqrt[Pi]*x)) - (E^(c + d*x^2)*Erf[b*x])/(2*x^2) - b*Sqrt[b^2 - d]*E^c*Erf[Sqrt[b^2 - d]*x] + d*Defer[Int][(E^(c + d*x^2)*Erf[b*x])/x, x]","A",0,0,0,0,-1,"{}"
58,0,0,0,0.3416174,"\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^5} \, dx","Int[(E^(c + d*x^2)*Erf[b*x])/x^5,x]","\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^5} \, dx","\frac{1}{2} d^2 \text{Int}\left(\frac{\text{Erf}(b x) e^{c+d x^2}}{x},x\right)-\frac{1}{2} b e^c d \sqrt{b^2-d} \text{Erf}\left(x \sqrt{b^2-d}\right)+\frac{1}{3} b e^c \left(b^2-d\right)^{3/2} \text{Erf}\left(x \sqrt{b^2-d}\right)-\frac{b d e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } x}+\frac{b \left(b^2-d\right) e^{c-x^2 \left(b^2-d\right)}}{3 \sqrt{\pi } x}-\frac{b e^{c-x^2 \left(b^2-d\right)}}{6 \sqrt{\pi } x^3}-\frac{d \text{Erf}(b x) e^{c+d x^2}}{4 x^2}-\frac{\text{Erf}(b x) e^{c+d x^2}}{4 x^4}",0,"-(b*E^(c - (b^2 - d)*x^2))/(6*Sqrt[Pi]*x^3) + (b*(b^2 - d)*E^(c - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x) - (b*d*E^(c - (b^2 - d)*x^2))/(2*Sqrt[Pi]*x) - (E^(c + d*x^2)*Erf[b*x])/(4*x^4) - (d*E^(c + d*x^2)*Erf[b*x])/(4*x^2) + (b*(b^2 - d)^(3/2)*E^c*Erf[Sqrt[b^2 - d]*x])/3 - (b*Sqrt[b^2 - d]*d*E^c*Erf[Sqrt[b^2 - d]*x])/2 + (d^2*Defer[Int][(E^(c + d*x^2)*Erf[b*x])/x, x])/2","A",0,0,0,0,-1,"{}"
59,0,0,0,0.243807,"\int e^{c+d x^2} x^4 \text{Erf}(b x) \, dx","Int[E^(c + d*x^2)*x^4*Erf[b*x],x]","\int e^{c+d x^2} x^4 \text{Erf}(b x) \, dx","\frac{3 \text{Int}\left(\text{Erf}(b x) e^{c+d x^2},x\right)}{4 d^2}-\frac{3 b e^{c-x^2 \left(b^2-d\right)}}{4 \sqrt{\pi } d^2 \left(b^2-d\right)}+\frac{b x^2 e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{b e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{3 x \text{Erf}(b x) e^{c+d x^2}}{4 d^2}+\frac{x^3 \text{Erf}(b x) e^{c+d x^2}}{2 d}",0,"(-3*b*E^(c - (b^2 - d)*x^2))/(4*(b^2 - d)*d^2*Sqrt[Pi]) + (b*E^(c - (b^2 - d)*x^2))/(2*(b^2 - d)^2*d*Sqrt[Pi]) + (b*E^(c - (b^2 - d)*x^2)*x^2)/(2*(b^2 - d)*d*Sqrt[Pi]) - (3*E^(c + d*x^2)*x*Erf[b*x])/(4*d^2) + (E^(c + d*x^2)*x^3*Erf[b*x])/(2*d) + (3*Defer[Int][E^(c + d*x^2)*Erf[b*x], x])/(4*d^2)","A",0,0,0,0,-1,"{}"
60,0,0,0,0.0948577,"\int e^{c+d x^2} x^2 \text{Erf}(b x) \, dx","Int[E^(c + d*x^2)*x^2*Erf[b*x],x]","\int e^{c+d x^2} x^2 \text{Erf}(b x) \, dx","-\frac{\text{Int}\left(\text{Erf}(b x) e^{c+d x^2},x\right)}{2 d}+\frac{b e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{x \text{Erf}(b x) e^{c+d x^2}}{2 d}",0,"(b*E^(c - (b^2 - d)*x^2))/(2*(b^2 - d)*d*Sqrt[Pi]) + (E^(c + d*x^2)*x*Erf[b*x])/(2*d) - Defer[Int][E^(c + d*x^2)*Erf[b*x], x]/(2*d)","A",0,0,0,0,-1,"{}"
61,0,0,0,0.0146927,"\int e^{c+d x^2} \text{Erf}(b x) \, dx","Int[E^(c + d*x^2)*Erf[b*x],x]","\int e^{c+d x^2} \text{Erf}(b x) \, dx","\text{Int}\left(\text{Erf}(b x) e^{c+d x^2},x\right)",0,"Defer[Int][E^(c + d*x^2)*Erf[b*x], x]","A",0,0,0,0,-1,"{}"
62,0,0,0,0.1166457,"\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^2} \, dx","Int[(E^(c + d*x^2)*Erf[b*x])/x^2,x]","\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^2} \, dx","2 d \text{Int}\left(\text{Erf}(b x) e^{c+d x^2},x\right)+\frac{b e^c \text{Ei}\left(-\left(b^2-d\right) x^2\right)}{\sqrt{\pi }}-\frac{\text{Erf}(b x) e^{c+d x^2}}{x}",0,"-((E^(c + d*x^2)*Erf[b*x])/x) + (b*E^c*ExpIntegralEi[-((b^2 - d)*x^2)])/Sqrt[Pi] + 2*d*Defer[Int][E^(c + d*x^2)*Erf[b*x], x]","A",0,0,0,0,-1,"{}"
63,0,0,0,0.2852601,"\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^4} \, dx","Int[(E^(c + d*x^2)*Erf[b*x])/x^4,x]","\int \frac{e^{c+d x^2} \text{Erf}(b x)}{x^4} \, dx","\frac{4}{3} d^2 \text{Int}\left(\text{Erf}(b x) e^{c+d x^2},x\right)+\frac{2 b e^c d \text{Ei}\left(-\left(b^2-d\right) x^2\right)}{3 \sqrt{\pi }}-\frac{b e^c \left(b^2-d\right) \text{Ei}\left(-\left(b^2-d\right) x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{c-x^2 \left(b^2-d\right)}}{3 \sqrt{\pi } x^2}-\frac{2 d \text{Erf}(b x) e^{c+d x^2}}{3 x}-\frac{\text{Erf}(b x) e^{c+d x^2}}{3 x^3}",0,"-(b*E^(c - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x^2) - (E^(c + d*x^2)*Erf[b*x])/(3*x^3) - (2*d*E^(c + d*x^2)*Erf[b*x])/(3*x) - (b*(b^2 - d)*E^c*ExpIntegralEi[-((b^2 - d)*x^2)])/(3*Sqrt[Pi]) + (2*b*d*E^c*ExpIntegralEi[-((b^2 - d)*x^2)])/(3*Sqrt[Pi]) + (4*d^2*Defer[Int][E^(c + d*x^2)*Erf[b*x], x])/3","A",0,0,0,0,-1,"{}"
64,1,118,0,0.1415722,"\int e^{c+b^2 x^2} x^5 \text{Erf}(b x) \, dx","Int[E^(c + b^2*x^2)*x^5*Erf[b*x],x]","\frac{x^4 e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{x^2 e^{b^2 x^2+c} \text{Erf}(b x)}{b^4}+\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{b^6}+\frac{2 e^c x^3}{3 \sqrt{\pi } b^3}-\frac{2 e^c x}{\sqrt{\pi } b^5}-\frac{e^c x^5}{5 \sqrt{\pi } b}","\frac{x^4 e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{x^2 e^{b^2 x^2+c} \text{Erf}(b x)}{b^4}+\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{b^6}+\frac{2 e^c x^3}{3 \sqrt{\pi } b^3}-\frac{2 e^c x}{\sqrt{\pi } b^5}-\frac{e^c x^5}{5 \sqrt{\pi } b}",1,"(-2*E^c*x)/(b^5*Sqrt[Pi]) + (2*E^c*x^3)/(3*b^3*Sqrt[Pi]) - (E^c*x^5)/(5*b*Sqrt[Pi]) + (E^(c + b^2*x^2)*Erf[b*x])/b^6 - (E^(c + b^2*x^2)*x^2*Erf[b*x])/b^4 + (E^(c + b^2*x^2)*x^4*Erf[b*x])/(2*b^2)","A",8,5,19,0.2632,1,"{6385, 6382, 8, 12, 30}"
65,1,79,0,0.0799707,"\int e^{c+b^2 x^2} x^3 \text{Erf}(b x) \, dx","Int[E^(c + b^2*x^2)*x^3*Erf[b*x],x]","\frac{x^2 e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^4}+\frac{e^c x}{\sqrt{\pi } b^3}-\frac{e^c x^3}{3 \sqrt{\pi } b}","\frac{x^2 e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^4}+\frac{e^c x}{\sqrt{\pi } b^3}-\frac{e^c x^3}{3 \sqrt{\pi } b}",1,"(E^c*x)/(b^3*Sqrt[Pi]) - (E^c*x^3)/(3*b*Sqrt[Pi]) - (E^(c + b^2*x^2)*Erf[b*x])/(2*b^4) + (E^(c + b^2*x^2)*x^2*Erf[b*x])/(2*b^2)","A",5,5,19,0.2632,1,"{6385, 6382, 8, 12, 30}"
66,1,37,0,0.031491,"\int e^{c+b^2 x^2} x \text{Erf}(b x) \, dx","Int[E^(c + b^2*x^2)*x*Erf[b*x],x]","\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{e^c x}{\sqrt{\pi } b}","\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{e^c x}{\sqrt{\pi } b}",1,"-((E^c*x)/(b*Sqrt[Pi])) + (E^(c + b^2*x^2)*Erf[b*x])/(2*b^2)","A",2,2,17,0.1176,1,"{6382, 8}"
67,1,32,0,0.0434965,"\int \frac{e^{c+b^2 x^2} \text{Erf}(b x)}{x} \, dx","Int[(E^(c + b^2*x^2)*Erf[b*x])/x,x]","\frac{2 b e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}","\frac{2 b e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}",1,"(2*b*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]","A",1,1,19,0.05263,1,"{6388}"
68,1,71,0,0.0891348,"\int \frac{e^{c+b^2 x^2} \text{Erf}(b x)}{x^3} \, dx","Int[(E^(c + b^2*x^2)*Erf[b*x])/x^3,x]","\frac{2 b^3 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{2 x^2}-\frac{b e^c}{\sqrt{\pi } x}","\frac{2 b^3 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{2 x^2}-\frac{b e^c}{\sqrt{\pi } x}",1,"-((b*E^c)/(Sqrt[Pi]*x)) - (E^(c + b^2*x^2)*Erf[b*x])/(2*x^2) + (2*b^3*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]","A",4,4,19,0.2105,1,"{6391, 6388, 12, 30}"
69,1,115,0,0.1346769,"\int \frac{e^{c+b^2 x^2} \text{Erf}(b x)}{x^5} \, dx","Int[(E^(c + b^2*x^2)*Erf[b*x])/x^5,x]","\frac{b^5 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{b^2 e^{b^2 x^2+c} \text{Erf}(b x)}{4 x^2}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{4 x^4}-\frac{b^3 e^c}{2 \sqrt{\pi } x}-\frac{b e^c}{6 \sqrt{\pi } x^3}","\frac{b^5 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{b^2 e^{b^2 x^2+c} \text{Erf}(b x)}{4 x^2}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{4 x^4}-\frac{b^3 e^c}{2 \sqrt{\pi } x}-\frac{b e^c}{6 \sqrt{\pi } x^3}",1,"-(b*E^c)/(6*Sqrt[Pi]*x^3) - (b^3*E^c)/(2*Sqrt[Pi]*x) - (E^(c + b^2*x^2)*Erf[b*x])/(4*x^4) - (b^2*E^(c + b^2*x^2)*Erf[b*x])/(4*x^2) + (b^5*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]","A",7,4,19,0.2105,1,"{6391, 6388, 12, 30}"
70,1,119,0,0.1133134,"\int e^{c+b^2 x^2} x^4 \text{Erf}(b x) \, dx","Int[E^(c + b^2*x^2)*x^4*Erf[b*x],x]","\frac{3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{4 \sqrt{\pi } b^3}+\frac{x^3 e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{3 x e^{b^2 x^2+c} \text{Erf}(b x)}{4 b^4}+\frac{3 e^c x^2}{4 \sqrt{\pi } b^3}-\frac{e^c x^4}{4 \sqrt{\pi } b}","\frac{3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{4 \sqrt{\pi } b^3}+\frac{x^3 e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{3 x e^{b^2 x^2+c} \text{Erf}(b x)}{4 b^4}+\frac{3 e^c x^2}{4 \sqrt{\pi } b^3}-\frac{e^c x^4}{4 \sqrt{\pi } b}",1,"(3*E^c*x^2)/(4*b^3*Sqrt[Pi]) - (E^c*x^4)/(4*b*Sqrt[Pi]) - (3*E^(c + b^2*x^2)*x*Erf[b*x])/(4*b^4) + (E^(c + b^2*x^2)*x^3*Erf[b*x])/(2*b^2) + (3*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(4*b^3*Sqrt[Pi])","A",7,4,19,0.2105,1,"{6385, 6376, 12, 30}"
71,1,76,0,0.0637064,"\int e^{c+b^2 x^2} x^2 \text{Erf}(b x) \, dx","Int[E^(c + b^2*x^2)*x^2*Erf[b*x],x]","-\frac{e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi } b}+\frac{x e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{e^c x^2}{2 \sqrt{\pi } b}","-\frac{e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi } b}+\frac{x e^{b^2 x^2+c} \text{Erf}(b x)}{2 b^2}-\frac{e^c x^2}{2 \sqrt{\pi } b}",1,"-(E^c*x^2)/(2*b*Sqrt[Pi]) + (E^(c + b^2*x^2)*x*Erf[b*x])/(2*b^2) - (E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*b*Sqrt[Pi])","A",4,4,19,0.2105,1,"{6385, 6376, 12, 30}"
72,1,29,0,0.0176664,"\int e^{c+b^2 x^2} \text{Erf}(b x) \, dx","Int[E^(c + b^2*x^2)*Erf[b*x],x]","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}",1,"(b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi]","A",1,1,16,0.06250,1,"{6376}"
73,1,66,0,0.0643943,"\int \frac{e^{c+b^2 x^2} \text{Erf}(b x)}{x^2} \, dx","Int[(E^(c + b^2*x^2)*Erf[b*x])/x^2,x]","\frac{2 b^3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{x}+\frac{2 b e^c \log (x)}{\sqrt{\pi }}","\frac{2 b^3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{x}+\frac{2 b e^c \log (x)}{\sqrt{\pi }}",1,"-((E^(c + b^2*x^2)*Erf[b*x])/x) + (2*b^3*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi] + (2*b*E^c*Log[x])/Sqrt[Pi]","A",4,4,19,0.2105,1,"{6391, 6376, 12, 29}"
74,1,115,0,0.1082796,"\int \frac{e^{c+b^2 x^2} \text{Erf}(b x)}{x^4} \, dx","Int[(E^(c + b^2*x^2)*Erf[b*x])/x^4,x]","\frac{4 b^5 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{2 b^2 e^{b^2 x^2+c} \text{Erf}(b x)}{3 x}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{3 x^3}+\frac{4 b^3 e^c \log (x)}{3 \sqrt{\pi }}-\frac{b e^c}{3 \sqrt{\pi } x^2}","\frac{4 b^5 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{2 b^2 e^{b^2 x^2+c} \text{Erf}(b x)}{3 x}-\frac{e^{b^2 x^2+c} \text{Erf}(b x)}{3 x^3}+\frac{4 b^3 e^c \log (x)}{3 \sqrt{\pi }}-\frac{b e^c}{3 \sqrt{\pi } x^2}",1,"-(b*E^c)/(3*Sqrt[Pi]*x^2) - (E^(c + b^2*x^2)*Erf[b*x])/(3*x^3) - (2*b^2*E^(c + b^2*x^2)*Erf[b*x])/(3*x) + (4*b^5*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(3*Sqrt[Pi]) + (4*b^3*E^c*Log[x])/(3*Sqrt[Pi])","A",7,5,19,0.2632,1,"{6391, 6376, 12, 29, 30}"
75,1,135,0,0.1953892,"\int e^{-b^2 x^2} x^5 \text{Erf}(b x) \, dx","Int[(x^5*Erf[b*x])/E^(b^2*x^2),x]","-\frac{x^4 e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}-\frac{x^2 e^{-b^2 x^2} \text{Erf}(b x)}{b^4}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{b^6}+\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{32 \sqrt{2} b^6}-\frac{x^3 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}-\frac{11 x e^{-2 b^2 x^2}}{16 \sqrt{\pi } b^5}","-\frac{x^4 e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}-\frac{x^2 e^{-b^2 x^2} \text{Erf}(b x)}{b^4}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{b^6}+\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{32 \sqrt{2} b^6}-\frac{x^3 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}-\frac{11 x e^{-2 b^2 x^2}}{16 \sqrt{\pi } b^5}",1,"(-11*x)/(16*b^5*E^(2*b^2*x^2)*Sqrt[Pi]) - x^3/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - Erf[b*x]/(b^6*E^(b^2*x^2)) - (x^2*Erf[b*x])/(b^4*E^(b^2*x^2)) - (x^4*Erf[b*x])/(2*b^2*E^(b^2*x^2)) + (43*Erf[Sqrt[2]*b*x])/(32*Sqrt[2]*b^6)","A",9,4,18,0.2222,1,"{6385, 6382, 2205, 2212}"
76,1,90,0,0.1013055,"\int e^{-b^2 x^2} x^3 \text{Erf}(b x) \, dx","Int[(x^3*Erf[b*x])/E^(b^2*x^2),x]","-\frac{x^2 e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{2 b^4}+\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{8 \sqrt{2} b^4}-\frac{x e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}","-\frac{x^2 e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{2 b^4}+\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{8 \sqrt{2} b^4}-\frac{x e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}",1,"-x/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - Erf[b*x]/(2*b^4*E^(b^2*x^2)) - (x^2*Erf[b*x])/(2*b^2*E^(b^2*x^2)) + (5*Erf[Sqrt[2]*b*x])/(8*Sqrt[2]*b^4)","A",5,4,18,0.2222,1,"{6385, 6382, 2205, 2212}"
77,1,43,0,0.0324727,"\int e^{-b^2 x^2} x \text{Erf}(b x) \, dx","Int[(x*Erf[b*x])/E^(b^2*x^2),x]","\frac{\text{Erf}\left(\sqrt{2} b x\right)}{2 \sqrt{2} b^2}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}","\frac{\text{Erf}\left(\sqrt{2} b x\right)}{2 \sqrt{2} b^2}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}",1,"-Erf[b*x]/(2*b^2*E^(b^2*x^2)) + Erf[Sqrt[2]*b*x]/(2*Sqrt[2]*b^2)","A",2,2,16,0.1250,1,"{6382, 2205}"
78,0,0,0,0.0346637,"\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x} \, dx","Int[Erf[b*x]/(E^(b^2*x^2)*x),x]","\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x} \, dx","\text{Int}\left(\frac{e^{-b^2 x^2} \text{Erf}(b x)}{x},x\right)",0,"Defer[Int][Erf[b*x]/(E^(b^2*x^2)*x), x]","A",0,0,0,0,-1,"{}"
79,0,0,0,0.09838,"\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x^3} \, dx","Int[Erf[b*x]/(E^(b^2*x^2)*x^3),x]","\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x^3} \, dx","-b^2 \text{Int}\left(\frac{e^{-b^2 x^2} \text{Erf}(b x)}{x},x\right)-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{2 x^2}-\sqrt{2} b^2 \text{Erf}\left(\sqrt{2} b x\right)-\frac{b e^{-2 b^2 x^2}}{\sqrt{\pi } x}",0,"-(b/(E^(2*b^2*x^2)*Sqrt[Pi]*x)) - Erf[b*x]/(2*E^(b^2*x^2)*x^2) - Sqrt[2]*b^2*Erf[Sqrt[2]*b*x] - b^2*Defer[Int][Erf[b*x]/(E^(b^2*x^2)*x), x]","A",0,0,0,0,-1,"{}"
80,0,0,0,0.1908707,"\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x^5} \, dx","Int[Erf[b*x]/(E^(b^2*x^2)*x^5),x]","\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x^5} \, dx","\frac{1}{2} b^4 \text{Int}\left(\frac{e^{-b^2 x^2} \text{Erf}(b x)}{x},x\right)+\frac{b^2 e^{-b^2 x^2} \text{Erf}(b x)}{4 x^2}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{4 x^4}+\frac{2}{3} \sqrt{2} b^4 \text{Erf}\left(\sqrt{2} b x\right)+\frac{b^4 \text{Erf}\left(\sqrt{2} b x\right)}{\sqrt{2}}+\frac{7 b^3 e^{-2 b^2 x^2}}{6 \sqrt{\pi } x}-\frac{b e^{-2 b^2 x^2}}{6 \sqrt{\pi } x^3}",0,"-b/(6*E^(2*b^2*x^2)*Sqrt[Pi]*x^3) + (7*b^3)/(6*E^(2*b^2*x^2)*Sqrt[Pi]*x) - Erf[b*x]/(4*E^(b^2*x^2)*x^4) + (b^2*Erf[b*x])/(4*E^(b^2*x^2)*x^2) + (b^4*Erf[Sqrt[2]*b*x])/Sqrt[2] + (2*Sqrt[2]*b^4*Erf[Sqrt[2]*b*x])/3 + (b^4*Defer[Int][Erf[b*x]/(E^(b^2*x^2)*x), x])/2","A",0,0,0,0,-1,"{}"
81,1,112,0,0.1462332,"\int e^{-b^2 x^2} x^4 \text{Erf}(b x) \, dx","Int[(x^4*Erf[b*x])/E^(b^2*x^2),x]","-\frac{x^3 e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}-\frac{3 x e^{-b^2 x^2} \text{Erf}(b x)}{4 b^4}+\frac{3 \sqrt{\pi } \text{Erf}(b x)^2}{16 b^5}-\frac{x^2 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}-\frac{e^{-2 b^2 x^2}}{2 \sqrt{\pi } b^5}","-\frac{x^3 e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}-\frac{3 x e^{-b^2 x^2} \text{Erf}(b x)}{4 b^4}+\frac{3 \sqrt{\pi } \text{Erf}(b x)^2}{16 b^5}-\frac{x^2 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}-\frac{e^{-2 b^2 x^2}}{2 \sqrt{\pi } b^5}",1,"-1/(2*b^5*E^(2*b^2*x^2)*Sqrt[Pi]) - x^2/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - (3*x*Erf[b*x])/(4*b^4*E^(b^2*x^2)) - (x^3*Erf[b*x])/(2*b^2*E^(b^2*x^2)) + (3*Sqrt[Pi]*Erf[b*x]^2)/(16*b^5)","A",7,5,18,0.2778,1,"{6385, 6373, 30, 2209, 2212}"
82,1,63,0,0.0684107,"\int e^{-b^2 x^2} x^2 \text{Erf}(b x) \, dx","Int[(x^2*Erf[b*x])/E^(b^2*x^2),x]","-\frac{x e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}+\frac{\sqrt{\pi } \text{Erf}(b x)^2}{8 b^3}-\frac{e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}","-\frac{x e^{-b^2 x^2} \text{Erf}(b x)}{2 b^2}+\frac{\sqrt{\pi } \text{Erf}(b x)^2}{8 b^3}-\frac{e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}",1,"-1/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - (x*Erf[b*x])/(2*b^2*E^(b^2*x^2)) + (Sqrt[Pi]*Erf[b*x]^2)/(8*b^3)","A",4,4,18,0.2222,1,"{6385, 6373, 30, 2209}"
83,1,18,0,0.0174227,"\int e^{-b^2 x^2} \text{Erf}(b x) \, dx","Int[Erf[b*x]/E^(b^2*x^2),x]","\frac{\sqrt{\pi } \text{Erf}(b x)^2}{4 b}","\frac{\sqrt{\pi } \text{Erf}(b x)^2}{4 b}",1,"(Sqrt[Pi]*Erf[b*x]^2)/(4*b)","A",2,2,15,0.1333,1,"{6373, 30}"
84,1,52,0,0.0705583,"\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x^2} \, dx","Int[Erf[b*x]/(E^(b^2*x^2)*x^2),x]","-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{x}+\frac{b \text{Ei}\left(-2 b^2 x^2\right)}{\sqrt{\pi }}-\frac{1}{2} \sqrt{\pi } b \text{Erf}(b x)^2","-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{x}+\frac{b \text{Ei}\left(-2 b^2 x^2\right)}{\sqrt{\pi }}-\frac{1}{2} \sqrt{\pi } b \text{Erf}(b x)^2",1,"-(Erf[b*x]/(E^(b^2*x^2)*x)) - (b*Sqrt[Pi]*Erf[b*x]^2)/2 + (b*ExpIntegralEi[-2*b^2*x^2])/Sqrt[Pi]","A",4,4,18,0.2222,1,"{6391, 6373, 30, 2210}"
85,1,108,0,0.1476175,"\int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x^4} \, dx","Int[Erf[b*x]/(E^(b^2*x^2)*x^4),x]","\frac{2 b^2 e^{-b^2 x^2} \text{Erf}(b x)}{3 x}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{3 x^3}+\frac{1}{3} \sqrt{\pi } b^3 \text{Erf}(b x)^2-\frac{4 b^3 \text{Ei}\left(-2 b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{-2 b^2 x^2}}{3 \sqrt{\pi } x^2}","\frac{2 b^2 e^{-b^2 x^2} \text{Erf}(b x)}{3 x}-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{3 x^3}+\frac{1}{3} \sqrt{\pi } b^3 \text{Erf}(b x)^2-\frac{4 b^3 \text{Ei}\left(-2 b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{-2 b^2 x^2}}{3 \sqrt{\pi } x^2}",1,"-b/(3*E^(2*b^2*x^2)*Sqrt[Pi]*x^2) - Erf[b*x]/(3*E^(b^2*x^2)*x^3) + (2*b^2*Erf[b*x])/(3*E^(b^2*x^2)*x) + (b^3*Sqrt[Pi]*Erf[b*x]^2)/3 - (4*b^3*ExpIntegralEi[-2*b^2*x^2])/(3*Sqrt[Pi])","A",7,5,18,0.2778,1,"{6391, 6373, 30, 2210, 2214}"
86,1,342,0,0.5149964,"\int e^{c+d x^2} x^3 \text{Erf}(a+b x) \, dx","Int[E^(c + d*x^2)*x^3*Erf[a + b*x],x]","\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d^2 \sqrt{b^2-d}}-\frac{a^2 b^3 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{5/2}}-\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d \left(b^2-d\right)^{3/2}}-\frac{a b^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}+\frac{b x e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{e^{c+d x^2} \text{Erf}(a+b x)}{2 d^2}+\frac{x^2 e^{c+d x^2} \text{Erf}(a+b x)}{2 d}","\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d^2 \sqrt{b^2-d}}-\frac{a^2 b^3 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{5/2}}-\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d \left(b^2-d\right)^{3/2}}-\frac{a b^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}+\frac{b x e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{e^{c+d x^2} \text{Erf}(a+b x)}{2 d^2}+\frac{x^2 e^{c+d x^2} \text{Erf}(a+b x)}{2 d}",1,"-(a*b^2*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)^2*d*Sqrt[Pi]) + (b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2)*x)/(2*(b^2 - d)*d*Sqrt[Pi]) - (E^(c + d*x^2)*Erf[a + b*x])/(2*d^2) + (E^(c + d*x^2)*x^2*Erf[a + b*x])/(2*d) + (b*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*Sqrt[b^2 - d]*d^2) - (a^2*b^3*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*(b^2 - d)^(5/2)*d) - (b*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(4*(b^2 - d)^(3/2)*d)","A",10,6,19,0.3158,1,"{6385, 6382, 2234, 2205, 2241, 2240}"
87,1,86,0,0.0570083,"\int e^{c+d x^2} x \text{Erf}(a+b x) \, dx","Int[E^(c + d*x^2)*x*Erf[a + b*x],x]","\frac{e^{c+d x^2} \text{Erf}(a+b x)}{2 d}-\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \sqrt{b^2-d}}","\frac{e^{c+d x^2} \text{Erf}(a+b x)}{2 d}-\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \sqrt{b^2-d}}",1,"(E^(c + d*x^2)*Erf[a + b*x])/(2*d) - (b*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*Sqrt[b^2 - d]*d)","A",3,3,17,0.1765,1,"{6382, 2234, 2205}"
88,0,0,0,0.0373856,"\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x} \, dx","Int[(E^(c + d*x^2)*Erf[a + b*x])/x,x]","\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x} \, dx","\text{Int}\left(\frac{e^{c+d x^2} \text{Erf}(a+b x)}{x},x\right)",0,"Defer[Int][(E^(c + d*x^2)*Erf[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
89,0,0,0,0.416555,"\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x^3} \, dx","Int[(E^(c + d*x^2)*Erf[a + b*x])/x^3,x]","\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x^3} \, dx","-\frac{2 a b^2 \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{\sqrt{\pi }}+d \text{Int}\left(\frac{e^{c+d x^2} \text{Erf}(a+b x)}{x},x\right)-b \sqrt{b^2-d} e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)-\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{\sqrt{\pi } x}-\frac{e^{c+d x^2} \text{Erf}(a+b x)}{2 x^2}",0,"-((b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(Sqrt[Pi]*x)) - (E^(c + d*x^2)*Erf[a + b*x])/(2*x^2) - b*Sqrt[b^2 - d]*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]] - (2*a*b^2*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/Sqrt[Pi] + d*Defer[Int][(E^(c + d*x^2)*Erf[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
90,0,0,0,0.9689882,"\int e^{c+d x^2} x^4 \text{Erf}(a+b x) \, dx","Int[E^(c + d*x^2)*x^4*Erf[a + b*x],x]","\int e^{c+d x^2} x^4 \text{Erf}(a+b x) \, dx","\frac{3 \text{Int}\left(e^{c+d x^2} \text{Erf}(a+b x),x\right)}{4 d^2}-\frac{3 a b^2 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d^2 \left(b^2-d\right)^{3/2}}-\frac{3 b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{4 \sqrt{\pi } d^2 \left(b^2-d\right)}+\frac{a^3 b^4 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{7/2}}+\frac{3 a b^2 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d \left(b^2-d\right)^{5/2}}+\frac{a^2 b^3 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^3}-\frac{a b^2 x e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}+\frac{b x^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{3 x e^{c+d x^2} \text{Erf}(a+b x)}{4 d^2}+\frac{x^3 e^{c+d x^2} \text{Erf}(a+b x)}{2 d}",0,"(-3*b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(4*(b^2 - d)*d^2*Sqrt[Pi]) + (a^2*b^3*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)^3*d*Sqrt[Pi]) + (b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)^2*d*Sqrt[Pi]) - (a*b^2*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2)*x)/(2*(b^2 - d)^2*d*Sqrt[Pi]) + (b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2)*x^2)/(2*(b^2 - d)*d*Sqrt[Pi]) - (3*E^(c + d*x^2)*x*Erf[a + b*x])/(4*d^2) + (E^(c + d*x^2)*x^3*Erf[a + b*x])/(2*d) - (3*a*b^2*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(4*(b^2 - d)^(3/2)*d^2) + (a^3*b^4*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*(b^2 - d)^(7/2)*d) + (3*a*b^2*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(4*(b^2 - d)^(5/2)*d) + (3*Defer[Int][E^(c + d*x^2)*Erf[a + b*x], x])/(4*d^2)","A",0,0,0,0,-1,"{}"
91,0,0,0,0.1899217,"\int e^{c+d x^2} x^2 \text{Erf}(a+b x) \, dx","Int[E^(c + d*x^2)*x^2*Erf[a + b*x],x]","\int e^{c+d x^2} x^2 \text{Erf}(a+b x) \, dx","-\frac{\text{Int}\left(e^{c+d x^2} \text{Erf}(a+b x),x\right)}{2 d}+\frac{a b^2 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{3/2}}+\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{x e^{c+d x^2} \text{Erf}(a+b x)}{2 d}",0,"(b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)*d*Sqrt[Pi]) + (E^(c + d*x^2)*x*Erf[a + b*x])/(2*d) + (a*b^2*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*(b^2 - d)^(3/2)*d) - Defer[Int][E^(c + d*x^2)*Erf[a + b*x], x]/(2*d)","A",0,0,0,0,-1,"{}"
92,0,0,0,0.0150303,"\int e^{c+d x^2} \text{Erf}(a+b x) \, dx","Int[E^(c + d*x^2)*Erf[a + b*x],x]","\int e^{c+d x^2} \text{Erf}(a+b x) \, dx","\text{Int}\left(e^{c+d x^2} \text{Erf}(a+b x),x\right)",0,"Defer[Int][E^(c + d*x^2)*Erf[a + b*x], x]","A",0,0,0,0,-1,"{}"
93,0,0,0,0.2152718,"\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x^2} \, dx","Int[(E^(c + d*x^2)*Erf[a + b*x])/x^2,x]","\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x^2} \, dx","\frac{2 b \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{\sqrt{\pi }}+2 d \text{Int}\left(e^{c+d x^2} \text{Erf}(a+b x),x\right)-\frac{e^{c+d x^2} \text{Erf}(a+b x)}{x}",0,"-((E^(c + d*x^2)*Erf[a + b*x])/x) + (2*b*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/Sqrt[Pi] + 2*d*Defer[Int][E^(c + d*x^2)*Erf[a + b*x], x]","A",0,0,0,0,-1,"{}"
94,0,0,0,0.9119307,"\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x^4} \, dx","Int[(E^(c + d*x^2)*Erf[a + b*x])/x^4,x]","\int \frac{e^{c+d x^2} \text{Erf}(a+b x)}{x^4} \, dx","\frac{4 a^2 b^3 \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{3 \sqrt{\pi }}-\frac{2 b \left(b^2-d\right) \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{3 \sqrt{\pi }}+\frac{4 b d \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{3 \sqrt{\pi }}+\frac{4}{3} d^2 \text{Int}\left(e^{c+d x^2} \text{Erf}(a+b x),x\right)+\frac{2}{3} a b^2 \sqrt{b^2-d} e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)+\frac{2 a b^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{3 \sqrt{\pi } x}-\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{3 \sqrt{\pi } x^2}-\frac{2 d e^{c+d x^2} \text{Erf}(a+b x)}{3 x}-\frac{e^{c+d x^2} \text{Erf}(a+b x)}{3 x^3}",0,"-(b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x^2) + (2*a*b^2*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x) - (E^(c + d*x^2)*Erf[a + b*x])/(3*x^3) - (2*d*E^(c + d*x^2)*Erf[a + b*x])/(3*x) + (2*a*b^2*Sqrt[b^2 - d]*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/3 + (4*a^2*b^3*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) - (2*b*(b^2 - d)*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) + (4*b*d*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) + (4*d^2*Defer[Int][E^(c + d*x^2)*Erf[a + b*x], x])/3","A",0,0,0,0,-1,"{}"
95,1,62,0,0.1448756,"\int \left(\frac{e^{-b^2 x^2} \text{Erf}(b x)}{x^3}+\frac{b^2 e^{-b^2 x^2} \text{Erf}(b x)}{x}\right) \, dx","Int[Erf[b*x]/(E^(b^2*x^2)*x^3) + (b^2*Erf[b*x])/(E^(b^2*x^2)*x),x]","-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{2 x^2}-\sqrt{2} b^2 \text{Erf}\left(\sqrt{2} b x\right)-\frac{b e^{-2 b^2 x^2}}{\sqrt{\pi } x}","-\frac{e^{-b^2 x^2} \text{Erf}(b x)}{2 x^2}-\sqrt{2} b^2 \text{Erf}\left(\sqrt{2} b x\right)-\frac{b e^{-2 b^2 x^2}}{\sqrt{\pi } x}",1,"-(b/(E^(2*b^2*x^2)*Sqrt[Pi]*x)) - Erf[b*x]/(2*E^(b^2*x^2)*x^2) - Sqrt[2]*b^2*Erf[Sqrt[2]*b*x]","A",4,3,40,0.07500,1,"{6391, 2214, 2205}"
96,1,66,0,0.0630758,"\int \text{Erf}(b x) \sin \left(c+i b^2 x^2\right) \, dx","Int[Erf[b*x]*Sin[c + I*b^2*x^2],x]","\frac{i b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{i \sqrt{\pi } e^{i c} \text{Erf}(b x)^2}{8 b}","\frac{i b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{i \sqrt{\pi } e^{i c} \text{Erf}(b x)^2}{8 b}",1,"((-I/8)*E^(I*c)*Sqrt[Pi]*Erf[b*x]^2)/b + ((I/2)*b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(E^(I*c)*Sqrt[Pi])","A",4,4,18,0.2222,1,"{6404, 6376, 6373, 30}"
97,1,66,0,0.0583387,"\int \text{Erf}(b x) \sin \left(c-i b^2 x^2\right) \, dx","Int[Erf[b*x]*Sin[c - I*b^2*x^2],x]","\frac{i \sqrt{\pi } e^{-i c} \text{Erf}(b x)^2}{8 b}-\frac{i b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}","\frac{i \sqrt{\pi } e^{-i c} \text{Erf}(b x)^2}{8 b}-\frac{i b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}",1,"((I/8)*Sqrt[Pi]*Erf[b*x]^2)/(b*E^(I*c)) - ((I/2)*b*E^(I*c)*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi]","A",4,4,18,0.2222,1,"{6404, 6373, 30, 6376}"
98,1,62,0,0.0557298,"\int \cos \left(c+i b^2 x^2\right) \text{Erf}(b x) \, dx","Int[Cos[c + I*b^2*x^2]*Erf[b*x],x]","\frac{b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{i c} \text{Erf}(b x)^2}{8 b}","\frac{b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{i c} \text{Erf}(b x)^2}{8 b}",1,"(E^(I*c)*Sqrt[Pi]*Erf[b*x]^2)/(8*b) + (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*E^(I*c)*Sqrt[Pi])","A",4,4,18,0.2222,1,"{6407, 6376, 6373, 30}"
99,1,62,0,0.0547896,"\int \cos \left(c-i b^2 x^2\right) \text{Erf}(b x) \, dx","Int[Cos[c - I*b^2*x^2]*Erf[b*x],x]","\frac{b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-i c} \text{Erf}(b x)^2}{8 b}","\frac{b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-i c} \text{Erf}(b x)^2}{8 b}",1,"(Sqrt[Pi]*Erf[b*x]^2)/(8*b*E^(I*c)) + (b*E^(I*c)*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*Sqrt[Pi])","A",4,4,18,0.2222,1,"{6407, 6373, 30, 6376}"
100,1,56,0,0.0556531,"\int \text{Erf}(b x) \sinh \left(c+b^2 x^2\right) \, dx","Int[Erf[b*x]*Sinh[c + b^2*x^2],x]","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-c} \text{Erf}(b x)^2}{8 b}","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-c} \text{Erf}(b x)^2}{8 b}",1,"-(Sqrt[Pi]*Erf[b*x]^2)/(8*b*E^c) + (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*Sqrt[Pi])","A",4,4,15,0.2667,1,"{6410, 6376, 6373, 30}"
101,1,56,0,0.0561107,"\int \text{Erf}(b x) \sinh \left(c-b^2 x^2\right) \, dx","Int[Erf[b*x]*Sinh[c - b^2*x^2],x]","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^2}{8 b}-\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}","\frac{\sqrt{\pi } e^c \text{Erf}(b x)^2}{8 b}-\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}",1,"(E^c*Sqrt[Pi]*Erf[b*x]^2)/(8*b) - (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*E^c*Sqrt[Pi])","A",4,4,16,0.2500,1,"{6410, 6373, 30, 6376}"
102,1,56,0,0.0531506,"\int \cosh \left(c+b^2 x^2\right) \text{Erf}(b x) \, dx","Int[Cosh[c + b^2*x^2]*Erf[b*x],x]","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-c} \text{Erf}(b x)^2}{8 b}","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-c} \text{Erf}(b x)^2}{8 b}",1,"(Sqrt[Pi]*Erf[b*x]^2)/(8*b*E^c) + (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*Sqrt[Pi])","A",4,4,15,0.2667,1,"{6413, 6376, 6373, 30}"
103,1,56,0,0.0524462,"\int \cosh \left(c-b^2 x^2\right) \text{Erf}(b x) \, dx","Int[Cosh[c - b^2*x^2]*Erf[b*x],x]","\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^c \text{Erf}(b x)^2}{8 b}","\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^c \text{Erf}(b x)^2}{8 b}",1,"(E^c*Sqrt[Pi]*Erf[b*x]^2)/(8*b) + (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*E^c*Sqrt[Pi])","A",4,4,16,0.2500,1,"{6413, 6373, 30, 6376}"
104,1,96,0,0.0897058,"\int x^5 \text{Erfc}(b x) \, dx","Int[x^5*Erfc[b*x],x]","\frac{5 \text{Erf}(b x)}{16 b^6}-\frac{x^5 e^{-b^2 x^2}}{6 \sqrt{\pi } b}-\frac{5 x^3 e^{-b^2 x^2}}{12 \sqrt{\pi } b^3}-\frac{5 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^5}+\frac{1}{6} x^6 \text{Erfc}(b x)","\frac{5 \text{Erf}(b x)}{16 b^6}-\frac{x^5 e^{-b^2 x^2}}{6 \sqrt{\pi } b}-\frac{5 x^3 e^{-b^2 x^2}}{12 \sqrt{\pi } b^3}-\frac{5 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^5}+\frac{1}{6} x^6 \text{Erfc}(b x)",1,"(-5*x)/(8*b^5*E^(b^2*x^2)*Sqrt[Pi]) - (5*x^3)/(12*b^3*E^(b^2*x^2)*Sqrt[Pi]) - x^5/(6*b*E^(b^2*x^2)*Sqrt[Pi]) + (5*Erf[b*x])/(16*b^6) + (x^6*Erfc[b*x])/6","A",5,3,8,0.3750,1,"{6362, 2212, 2205}"
105,1,71,0,0.0635941,"\int x^3 \text{Erfc}(b x) \, dx","Int[x^3*Erfc[b*x],x]","\frac{3 \text{Erf}(b x)}{16 b^4}-\frac{x^3 e^{-b^2 x^2}}{4 \sqrt{\pi } b}-\frac{3 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^3}+\frac{1}{4} x^4 \text{Erfc}(b x)","\frac{3 \text{Erf}(b x)}{16 b^4}-\frac{x^3 e^{-b^2 x^2}}{4 \sqrt{\pi } b}-\frac{3 x e^{-b^2 x^2}}{8 \sqrt{\pi } b^3}+\frac{1}{4} x^4 \text{Erfc}(b x)",1,"(-3*x)/(8*b^3*E^(b^2*x^2)*Sqrt[Pi]) - x^3/(4*b*E^(b^2*x^2)*Sqrt[Pi]) + (3*Erf[b*x])/(16*b^4) + (x^4*Erfc[b*x])/4","A",4,3,8,0.3750,1,"{6362, 2212, 2205}"
106,1,46,0,0.0346855,"\int x \text{Erfc}(b x) \, dx","Int[x*Erfc[b*x],x]","\frac{\text{Erf}(b x)}{4 b^2}-\frac{x e^{-b^2 x^2}}{2 \sqrt{\pi } b}+\frac{1}{2} x^2 \text{Erfc}(b x)","\frac{\text{Erf}(b x)}{4 b^2}-\frac{x e^{-b^2 x^2}}{2 \sqrt{\pi } b}+\frac{1}{2} x^2 \text{Erfc}(b x)",1,"-x/(2*b*E^(b^2*x^2)*Sqrt[Pi]) + Erf[b*x]/(4*b^2) + (x^2*Erfc[b*x])/2","A",3,3,6,0.5000,1,"{6362, 2212, 2205}"
107,1,35,0,0.0234426,"\int \frac{\text{Erfc}(b x)}{x} \, dx","Int[Erfc[b*x]/x,x]","\log (x)-\frac{2 b x \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}","\log (x)-\frac{2 b x \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}",1,"(-2*b*x*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, -(b^2*x^2)])/Sqrt[Pi] + Log[x]","A",2,2,8,0.2500,1,"{6359, 6358}"
108,1,40,0,0.0378237,"\int \frac{\text{Erfc}(b x)}{x^3} \, dx","Int[Erfc[b*x]/x^3,x]","b^2 \text{Erf}(b x)+\frac{b e^{-b^2 x^2}}{\sqrt{\pi } x}-\frac{\text{Erfc}(b x)}{2 x^2}","b^2 \text{Erf}(b x)+\frac{b e^{-b^2 x^2}}{\sqrt{\pi } x}-\frac{\text{Erfc}(b x)}{2 x^2}",1,"b/(E^(b^2*x^2)*Sqrt[Pi]*x) + b^2*Erf[b*x] - Erfc[b*x]/(2*x^2)","A",3,3,8,0.3750,1,"{6362, 2214, 2205}"
109,1,71,0,0.059194,"\int \frac{\text{Erfc}(b x)}{x^5} \, dx","Int[Erfc[b*x]/x^5,x]","-\frac{1}{3} b^4 \text{Erf}(b x)-\frac{b^3 e^{-b^2 x^2}}{3 \sqrt{\pi } x}+\frac{b e^{-b^2 x^2}}{6 \sqrt{\pi } x^3}-\frac{\text{Erfc}(b x)}{4 x^4}","-\frac{1}{3} b^4 \text{Erf}(b x)-\frac{b^3 e^{-b^2 x^2}}{3 \sqrt{\pi } x}+\frac{b e^{-b^2 x^2}}{6 \sqrt{\pi } x^3}-\frac{\text{Erfc}(b x)}{4 x^4}",1,"b/(6*E^(b^2*x^2)*Sqrt[Pi]*x^3) - b^3/(3*E^(b^2*x^2)*Sqrt[Pi]*x) - (b^4*Erf[b*x])/3 - Erfc[b*x]/(4*x^4)","A",4,3,8,0.3750,1,"{6362, 2214, 2205}"
110,1,96,0,0.0829265,"\int \frac{\text{Erfc}(b x)}{x^7} \, dx","Int[Erfc[b*x]/x^7,x]","\frac{4}{45} b^6 \text{Erf}(b x)+\frac{4 b^5 e^{-b^2 x^2}}{45 \sqrt{\pi } x}-\frac{2 b^3 e^{-b^2 x^2}}{45 \sqrt{\pi } x^3}+\frac{b e^{-b^2 x^2}}{15 \sqrt{\pi } x^5}-\frac{\text{Erfc}(b x)}{6 x^6}","\frac{4}{45} b^6 \text{Erf}(b x)+\frac{4 b^5 e^{-b^2 x^2}}{45 \sqrt{\pi } x}-\frac{2 b^3 e^{-b^2 x^2}}{45 \sqrt{\pi } x^3}+\frac{b e^{-b^2 x^2}}{15 \sqrt{\pi } x^5}-\frac{\text{Erfc}(b x)}{6 x^6}",1,"b/(15*E^(b^2*x^2)*Sqrt[Pi]*x^5) - (2*b^3)/(45*E^(b^2*x^2)*Sqrt[Pi]*x^3) + (4*b^5)/(45*E^(b^2*x^2)*Sqrt[Pi]*x) + (4*b^6*Erf[b*x])/45 - Erfc[b*x]/(6*x^6)","A",5,3,8,0.3750,1,"{6362, 2214, 2205}"
111,1,109,0,0.0940924,"\int x^6 \text{Erfc}(b x) \, dx","Int[x^6*Erfc[b*x],x]","-\frac{x^6 e^{-b^2 x^2}}{7 \sqrt{\pi } b}-\frac{3 x^4 e^{-b^2 x^2}}{7 \sqrt{\pi } b^3}-\frac{6 x^2 e^{-b^2 x^2}}{7 \sqrt{\pi } b^5}-\frac{6 e^{-b^2 x^2}}{7 \sqrt{\pi } b^7}+\frac{1}{7} x^7 \text{Erfc}(b x)","-\frac{x^6 e^{-b^2 x^2}}{7 \sqrt{\pi } b}-\frac{3 x^4 e^{-b^2 x^2}}{7 \sqrt{\pi } b^3}-\frac{6 x^2 e^{-b^2 x^2}}{7 \sqrt{\pi } b^5}-\frac{6 e^{-b^2 x^2}}{7 \sqrt{\pi } b^7}+\frac{1}{7} x^7 \text{Erfc}(b x)",1,"-6/(7*b^7*E^(b^2*x^2)*Sqrt[Pi]) - (6*x^2)/(7*b^5*E^(b^2*x^2)*Sqrt[Pi]) - (3*x^4)/(7*b^3*E^(b^2*x^2)*Sqrt[Pi]) - x^6/(7*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^7*Erfc[b*x])/7","A",5,3,8,0.3750,1,"{6362, 2212, 2209}"
112,1,84,0,0.0703607,"\int x^4 \text{Erfc}(b x) \, dx","Int[x^4*Erfc[b*x],x]","-\frac{x^4 e^{-b^2 x^2}}{5 \sqrt{\pi } b}-\frac{2 x^2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^3}-\frac{2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^5}+\frac{1}{5} x^5 \text{Erfc}(b x)","-\frac{x^4 e^{-b^2 x^2}}{5 \sqrt{\pi } b}-\frac{2 x^2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^3}-\frac{2 e^{-b^2 x^2}}{5 \sqrt{\pi } b^5}+\frac{1}{5} x^5 \text{Erfc}(b x)",1,"-2/(5*b^5*E^(b^2*x^2)*Sqrt[Pi]) - (2*x^2)/(5*b^3*E^(b^2*x^2)*Sqrt[Pi]) - x^4/(5*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^5*Erfc[b*x])/5","A",4,3,8,0.3750,1,"{6362, 2212, 2209}"
113,1,59,0,0.0485909,"\int x^2 \text{Erfc}(b x) \, dx","Int[x^2*Erfc[b*x],x]","-\frac{x^2 e^{-b^2 x^2}}{3 \sqrt{\pi } b}-\frac{e^{-b^2 x^2}}{3 \sqrt{\pi } b^3}+\frac{1}{3} x^3 \text{Erfc}(b x)","-\frac{x^2 e^{-b^2 x^2}}{3 \sqrt{\pi } b}-\frac{e^{-b^2 x^2}}{3 \sqrt{\pi } b^3}+\frac{1}{3} x^3 \text{Erfc}(b x)",1,"-1/(3*b^3*E^(b^2*x^2)*Sqrt[Pi]) - x^2/(3*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^3*Erfc[b*x])/3","A",3,3,8,0.3750,1,"{6362, 2212, 2209}"
114,1,27,0,0.0049246,"\int \text{Erfc}(b x) \, dx","Int[Erfc[b*x],x]","x \text{Erfc}(b x)-\frac{e^{-b^2 x^2}}{\sqrt{\pi } b}","x \text{Erfc}(b x)-\frac{e^{-b^2 x^2}}{\sqrt{\pi } b}",1,"-(1/(b*E^(b^2*x^2)*Sqrt[Pi])) + x*Erfc[b*x]","A",1,1,4,0.2500,1,"{6350}"
115,1,27,0,0.0312142,"\int \frac{\text{Erfc}(b x)}{x^2} \, dx","Int[Erfc[b*x]/x^2,x]","-\frac{b \text{Ei}\left(-b^2 x^2\right)}{\sqrt{\pi }}-\frac{\text{Erfc}(b x)}{x}","-\frac{b \text{Ei}\left(-b^2 x^2\right)}{\sqrt{\pi }}-\frac{\text{Erfc}(b x)}{x}",1,"-(Erfc[b*x]/x) - (b*ExpIntegralEi[-(b^2*x^2)])/Sqrt[Pi]","A",2,2,8,0.2500,1,"{6362, 2210}"
116,1,56,0,0.0540663,"\int \frac{\text{Erfc}(b x)}{x^4} \, dx","Int[Erfc[b*x]/x^4,x]","\frac{b^3 \text{Ei}\left(-b^2 x^2\right)}{3 \sqrt{\pi }}+\frac{b e^{-b^2 x^2}}{3 \sqrt{\pi } x^2}-\frac{\text{Erfc}(b x)}{3 x^3}","\frac{b^3 \text{Ei}\left(-b^2 x^2\right)}{3 \sqrt{\pi }}+\frac{b e^{-b^2 x^2}}{3 \sqrt{\pi } x^2}-\frac{\text{Erfc}(b x)}{3 x^3}",1,"b/(3*E^(b^2*x^2)*Sqrt[Pi]*x^2) - Erfc[b*x]/(3*x^3) + (b^3*ExpIntegralEi[-(b^2*x^2)])/(3*Sqrt[Pi])","A",3,3,8,0.3750,1,"{6362, 2214, 2210}"
117,1,81,0,0.0740645,"\int \frac{\text{Erfc}(b x)}{x^6} \, dx","Int[Erfc[b*x]/x^6,x]","-\frac{b^5 \text{Ei}\left(-b^2 x^2\right)}{10 \sqrt{\pi }}-\frac{b^3 e^{-b^2 x^2}}{10 \sqrt{\pi } x^2}+\frac{b e^{-b^2 x^2}}{10 \sqrt{\pi } x^4}-\frac{\text{Erfc}(b x)}{5 x^5}","-\frac{b^5 \text{Ei}\left(-b^2 x^2\right)}{10 \sqrt{\pi }}-\frac{b^3 e^{-b^2 x^2}}{10 \sqrt{\pi } x^2}+\frac{b e^{-b^2 x^2}}{10 \sqrt{\pi } x^4}-\frac{\text{Erfc}(b x)}{5 x^5}",1,"b/(10*E^(b^2*x^2)*Sqrt[Pi]*x^4) - b^3/(10*E^(b^2*x^2)*Sqrt[Pi]*x^2) - Erfc[b*x]/(5*x^5) - (b^5*ExpIntegralEi[-(b^2*x^2)])/(10*Sqrt[Pi])","A",4,3,8,0.3750,1,"{6362, 2214, 2210}"
118,1,292,0,0.2723143,"\int (c+d x)^3 \text{Erfc}(a+b x) \, dx","Int[(c + d*x)^3*Erfc[a + b*x],x]","-\frac{d^2 e^{-(a+b x)^2} (a+b x)^2 (b c-a d)}{\sqrt{\pi } b^4}-\frac{d^2 e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^4}+\frac{(b c-a d)^4 \text{Erf}(a+b x)}{4 b^4 d}+\frac{3 d (b c-a d)^2 \text{Erf}(a+b x)}{4 b^4}-\frac{e^{-(a+b x)^2} (b c-a d)^3}{\sqrt{\pi } b^4}-\frac{3 d e^{-(a+b x)^2} (a+b x) (b c-a d)^2}{2 \sqrt{\pi } b^4}+\frac{3 d^3 \text{Erf}(a+b x)}{16 b^4}-\frac{d^3 e^{-(a+b x)^2} (a+b x)^3}{4 \sqrt{\pi } b^4}-\frac{3 d^3 e^{-(a+b x)^2} (a+b x)}{8 \sqrt{\pi } b^4}+\frac{(c+d x)^4 \text{Erfc}(a+b x)}{4 d}","-\frac{d^2 e^{-(a+b x)^2} (a+b x)^2 (b c-a d)}{\sqrt{\pi } b^4}-\frac{d^2 e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^4}+\frac{(b c-a d)^4 \text{Erf}(a+b x)}{4 b^4 d}+\frac{3 d (b c-a d)^2 \text{Erf}(a+b x)}{4 b^4}-\frac{e^{-(a+b x)^2} (b c-a d)^3}{\sqrt{\pi } b^4}-\frac{3 d e^{-(a+b x)^2} (a+b x) (b c-a d)^2}{2 \sqrt{\pi } b^4}+\frac{3 d^3 \text{Erf}(a+b x)}{16 b^4}-\frac{d^3 e^{-(a+b x)^2} (a+b x)^3}{4 \sqrt{\pi } b^4}-\frac{3 d^3 e^{-(a+b x)^2} (a+b x)}{8 \sqrt{\pi } b^4}+\frac{(c+d x)^4 \text{Erfc}(a+b x)}{4 d}",1,"-((d^2*(b*c - a*d))/(b^4*E^(a + b*x)^2*Sqrt[Pi])) - (b*c - a*d)^3/(b^4*E^(a + b*x)^2*Sqrt[Pi]) - (3*d^3*(a + b*x))/(8*b^4*E^(a + b*x)^2*Sqrt[Pi]) - (3*d*(b*c - a*d)^2*(a + b*x))/(2*b^4*E^(a + b*x)^2*Sqrt[Pi]) - (d^2*(b*c - a*d)*(a + b*x)^2)/(b^4*E^(a + b*x)^2*Sqrt[Pi]) - (d^3*(a + b*x)^3)/(4*b^4*E^(a + b*x)^2*Sqrt[Pi]) + (3*d^3*Erf[a + b*x])/(16*b^4) + (3*d*(b*c - a*d)^2*Erf[a + b*x])/(4*b^4) + ((b*c - a*d)^4*Erf[a + b*x])/(4*b^4*d) + ((c + d*x)^4*Erfc[a + b*x])/(4*d)","A",12,5,14,0.3571,1,"{6362, 2226, 2205, 2209, 2212}"
119,1,194,0,0.180591,"\int (c+d x)^2 \text{Erfc}(a+b x) \, dx","Int[(c + d*x)^2*Erfc[a + b*x],x]","\frac{(b c-a d)^3 \text{Erf}(a+b x)}{3 b^3 d}+\frac{d (b c-a d) \text{Erf}(a+b x)}{2 b^3}-\frac{e^{-(a+b x)^2} (b c-a d)^2}{\sqrt{\pi } b^3}-\frac{d e^{-(a+b x)^2} (a+b x) (b c-a d)}{\sqrt{\pi } b^3}-\frac{d^2 e^{-(a+b x)^2} (a+b x)^2}{3 \sqrt{\pi } b^3}-\frac{d^2 e^{-(a+b x)^2}}{3 \sqrt{\pi } b^3}+\frac{(c+d x)^3 \text{Erfc}(a+b x)}{3 d}","\frac{(b c-a d)^3 \text{Erf}(a+b x)}{3 b^3 d}+\frac{d (b c-a d) \text{Erf}(a+b x)}{2 b^3}-\frac{e^{-(a+b x)^2} (b c-a d)^2}{\sqrt{\pi } b^3}-\frac{d e^{-(a+b x)^2} (a+b x) (b c-a d)}{\sqrt{\pi } b^3}-\frac{d^2 e^{-(a+b x)^2} (a+b x)^2}{3 \sqrt{\pi } b^3}-\frac{d^2 e^{-(a+b x)^2}}{3 \sqrt{\pi } b^3}+\frac{(c+d x)^3 \text{Erfc}(a+b x)}{3 d}",1,"-d^2/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) - (b*c - a*d)^2/(b^3*E^(a + b*x)^2*Sqrt[Pi]) - (d*(b*c - a*d)*(a + b*x))/(b^3*E^(a + b*x)^2*Sqrt[Pi]) - (d^2*(a + b*x)^2)/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) + (d*(b*c - a*d)*Erf[a + b*x])/(2*b^3) + ((b*c - a*d)^3*Erf[a + b*x])/(3*b^3*d) + ((c + d*x)^3*Erfc[a + b*x])/(3*d)","A",9,5,14,0.3571,1,"{6362, 2226, 2205, 2209, 2212}"
120,1,119,0,0.117892,"\int (c+d x) \text{Erfc}(a+b x) \, dx","Int[(c + d*x)*Erfc[a + b*x],x]","\frac{(b c-a d)^2 \text{Erf}(a+b x)}{2 b^2 d}-\frac{e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^2}+\frac{d \text{Erf}(a+b x)}{4 b^2}-\frac{d e^{-(a+b x)^2} (a+b x)}{2 \sqrt{\pi } b^2}+\frac{(c+d x)^2 \text{Erfc}(a+b x)}{2 d}","\frac{(b c-a d)^2 \text{Erf}(a+b x)}{2 b^2 d}-\frac{e^{-(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^2}+\frac{d \text{Erf}(a+b x)}{4 b^2}-\frac{d e^{-(a+b x)^2} (a+b x)}{2 \sqrt{\pi } b^2}+\frac{(c+d x)^2 \text{Erfc}(a+b x)}{2 d}",1,"-((b*c - a*d)/(b^2*E^(a + b*x)^2*Sqrt[Pi])) - (d*(a + b*x))/(2*b^2*E^(a + b*x)^2*Sqrt[Pi]) + (d*Erf[a + b*x])/(4*b^2) + ((b*c - a*d)^2*Erf[a + b*x])/(2*b^2*d) + ((c + d*x)^2*Erfc[a + b*x])/(2*d)","A",7,5,12,0.4167,1,"{6362, 2226, 2205, 2209, 2212}"
121,1,37,0,0.0067298,"\int \text{Erfc}(a+b x) \, dx","Int[Erfc[a + b*x],x]","\frac{(a+b x) \text{Erfc}(a+b x)}{b}-\frac{e^{-(a+b x)^2}}{\sqrt{\pi } b}","\frac{(a+b x) \text{Erfc}(a+b x)}{b}-\frac{e^{-(a+b x)^2}}{\sqrt{\pi } b}",1,"-(1/(b*E^(a + b*x)^2*Sqrt[Pi])) + ((a + b*x)*Erfc[a + b*x])/b","A",1,1,6,0.1667,1,"{6350}"
122,0,0,0,0.0150038,"\int \frac{\text{Erfc}(a+b x)}{c+d x} \, dx","Int[Erfc[a + b*x]/(c + d*x),x]","\int \frac{\text{Erfc}(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\text{Erfc}(a+b x)}{c+d x},x\right)",0,"Defer[Int][Erfc[a + b*x]/(c + d*x), x]","A",0,0,0,0,-1,"{}"
123,0,0,0,0.038967,"\int \frac{\text{Erfc}(a+b x)}{(c+d x)^2} \, dx","Int[Erfc[a + b*x]/(c + d*x)^2,x]","\int \frac{\text{Erfc}(a+b x)}{(c+d x)^2} \, dx","-\frac{2 b \text{Int}\left(\frac{e^{-(a+b x)^2}}{c+d x},x\right)}{\sqrt{\pi } d}-\frac{\text{Erfc}(a+b x)}{d (c+d x)}",0,"-(Erfc[a + b*x]/(d*(c + d*x))) - (2*b*Defer[Int][1/(E^(a + b*x)^2*(c + d*x)), x])/(d*Sqrt[Pi])","A",0,0,0,0,-1,"{}"
124,0,0,0,0.0792894,"\int \frac{\text{Erfc}(a+b x)}{(c+d x)^3} \, dx","Int[Erfc[a + b*x]/(c + d*x)^3,x]","\int \frac{\text{Erfc}(a+b x)}{(c+d x)^3} \, dx","-\frac{2 b^2 (b c-a d) \text{Int}\left(\frac{e^{-(a+b x)^2}}{c+d x},x\right)}{\sqrt{\pi } d^3}+\frac{b^2 \text{Erf}(a+b x)}{d^3}+\frac{b e^{-(a+b x)^2}}{\sqrt{\pi } d^2 (c+d x)}-\frac{\text{Erfc}(a+b x)}{2 d (c+d x)^2}",0,"b/(d^2*E^(a + b*x)^2*Sqrt[Pi]*(c + d*x)) + (b^2*Erf[a + b*x])/d^3 - Erfc[a + b*x]/(2*d*(c + d*x)^2) - (2*b^2*(b*c - a*d)*Defer[Int][1/(E^(a + b*x)^2*(c + d*x)), x])/(d^3*Sqrt[Pi])","A",0,0,0,0,-1,"{}"
125,1,178,0,0.2763889,"\int x^5 \text{Erfc}(b x)^2 \, dx","Int[x^5*Erfc[b*x]^2,x]","-\frac{x^5 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } b}-\frac{5 x^3 e^{-b^2 x^2} \text{Erfc}(b x)}{6 \sqrt{\pi } b^3}-\frac{5 x e^{-b^2 x^2} \text{Erfc}(b x)}{4 \sqrt{\pi } b^5}-\frac{5 \text{Erfc}(b x)^2}{16 b^6}+\frac{x^4 e^{-2 b^2 x^2}}{6 \pi  b^2}+\frac{7 x^2 e^{-2 b^2 x^2}}{12 \pi  b^4}+\frac{11 e^{-2 b^2 x^2}}{12 \pi  b^6}+\frac{1}{6} x^6 \text{Erfc}(b x)^2","-\frac{x^5 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } b}-\frac{5 x^3 e^{-b^2 x^2} \text{Erfc}(b x)}{6 \sqrt{\pi } b^3}-\frac{5 x e^{-b^2 x^2} \text{Erfc}(b x)}{4 \sqrt{\pi } b^5}-\frac{5 \text{Erfc}(b x)^2}{16 b^6}+\frac{x^4 e^{-2 b^2 x^2}}{6 \pi  b^2}+\frac{7 x^2 e^{-2 b^2 x^2}}{12 \pi  b^4}+\frac{11 e^{-2 b^2 x^2}}{12 \pi  b^6}+\frac{1}{6} x^6 \text{Erfc}(b x)^2",1,"11/(12*b^6*E^(2*b^2*x^2)*Pi) + (7*x^2)/(12*b^4*E^(2*b^2*x^2)*Pi) + x^4/(6*b^2*E^(2*b^2*x^2)*Pi) - (5*x*Erfc[b*x])/(4*b^5*E^(b^2*x^2)*Sqrt[Pi]) - (5*x^3*Erfc[b*x])/(6*b^3*E^(b^2*x^2)*Sqrt[Pi]) - (x^5*Erfc[b*x])/(3*b*E^(b^2*x^2)*Sqrt[Pi]) - (5*Erfc[b*x]^2)/(16*b^6) + (x^6*Erfc[b*x]^2)/6","A",12,6,10,0.6000,1,"{6365, 6386, 6374, 30, 2209, 2212}"
126,1,126,0,0.1711741,"\int x^3 \text{Erfc}(b x)^2 \, dx","Int[x^3*Erfc[b*x]^2,x]","-\frac{x^3 e^{-b^2 x^2} \text{Erfc}(b x)}{2 \sqrt{\pi } b}-\frac{3 x e^{-b^2 x^2} \text{Erfc}(b x)}{4 \sqrt{\pi } b^3}-\frac{3 \text{Erfc}(b x)^2}{16 b^4}+\frac{x^2 e^{-2 b^2 x^2}}{4 \pi  b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^4}+\frac{1}{4} x^4 \text{Erfc}(b x)^2","-\frac{x^3 e^{-b^2 x^2} \text{Erfc}(b x)}{2 \sqrt{\pi } b}-\frac{3 x e^{-b^2 x^2} \text{Erfc}(b x)}{4 \sqrt{\pi } b^3}-\frac{3 \text{Erfc}(b x)^2}{16 b^4}+\frac{x^2 e^{-2 b^2 x^2}}{4 \pi  b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^4}+\frac{1}{4} x^4 \text{Erfc}(b x)^2",1,"1/(2*b^4*E^(2*b^2*x^2)*Pi) + x^2/(4*b^2*E^(2*b^2*x^2)*Pi) - (3*x*Erfc[b*x])/(4*b^3*E^(b^2*x^2)*Sqrt[Pi]) - (x^3*Erfc[b*x])/(2*b*E^(b^2*x^2)*Sqrt[Pi]) - (3*Erfc[b*x]^2)/(16*b^4) + (x^4*Erfc[b*x]^2)/4","A",8,6,10,0.6000,1,"{6365, 6386, 6374, 30, 2209, 2212}"
127,1,72,0,0.0810356,"\int x \text{Erfc}(b x)^2 \, dx","Int[x*Erfc[b*x]^2,x]","-\frac{x e^{-b^2 x^2} \text{Erfc}(b x)}{\sqrt{\pi } b}-\frac{\text{Erfc}(b x)^2}{4 b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^2}+\frac{1}{2} x^2 \text{Erfc}(b x)^2","-\frac{x e^{-b^2 x^2} \text{Erfc}(b x)}{\sqrt{\pi } b}-\frac{\text{Erfc}(b x)^2}{4 b^2}+\frac{e^{-2 b^2 x^2}}{2 \pi  b^2}+\frac{1}{2} x^2 \text{Erfc}(b x)^2",1,"1/(2*b^2*E^(2*b^2*x^2)*Pi) - (x*Erfc[b*x])/(b*E^(b^2*x^2)*Sqrt[Pi]) - Erfc[b*x]^2/(4*b^2) + (x^2*Erfc[b*x]^2)/2","A",5,5,8,0.6250,1,"{6365, 6386, 6374, 30, 2209}"
128,0,0,0,0.0164441,"\int \frac{\text{Erfc}(b x)^2}{x} \, dx","Int[Erfc[b*x]^2/x,x]","\int \frac{\text{Erfc}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Erfc}(b x)^2}{x},x\right)",0,"Defer[Int][Erfc[b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
129,1,67,0,0.0946859,"\int \frac{\text{Erfc}(b x)^2}{x^3} \, dx","Int[Erfc[b*x]^2/x^3,x]","\frac{2 b e^{-b^2 x^2} \text{Erfc}(b x)}{\sqrt{\pi } x}+b^2 \left(-\text{Erfc}(b x)^2\right)+\frac{2 b^2 \text{Ei}\left(-2 b^2 x^2\right)}{\pi }-\frac{\text{Erfc}(b x)^2}{2 x^2}","\frac{2 b e^{-b^2 x^2} \text{Erfc}(b x)}{\sqrt{\pi } x}+b^2 \left(-\text{Erfc}(b x)^2\right)+\frac{2 b^2 \text{Ei}\left(-2 b^2 x^2\right)}{\pi }-\frac{\text{Erfc}(b x)^2}{2 x^2}",1,"(2*b*Erfc[b*x])/(E^(b^2*x^2)*Sqrt[Pi]*x) - b^2*Erfc[b*x]^2 - Erfc[b*x]^2/(2*x^2) + (2*b^2*ExpIntegralEi[-2*b^2*x^2])/Pi","A",5,5,10,0.5000,1,"{6365, 6392, 6374, 30, 2210}"
130,1,125,0,0.1775931,"\int \frac{\text{Erfc}(b x)^2}{x^5} \, dx","Int[Erfc[b*x]^2/x^5,x]","-\frac{2 b^3 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } x}+\frac{b e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } x^3}+\frac{1}{3} b^4 \text{Erfc}(b x)^2-\frac{4 b^4 \text{Ei}\left(-2 b^2 x^2\right)}{3 \pi }-\frac{b^2 e^{-2 b^2 x^2}}{3 \pi  x^2}-\frac{\text{Erfc}(b x)^2}{4 x^4}","-\frac{2 b^3 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } x}+\frac{b e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } x^3}+\frac{1}{3} b^4 \text{Erfc}(b x)^2-\frac{4 b^4 \text{Ei}\left(-2 b^2 x^2\right)}{3 \pi }-\frac{b^2 e^{-2 b^2 x^2}}{3 \pi  x^2}-\frac{\text{Erfc}(b x)^2}{4 x^4}",1,"-b^2/(3*E^(2*b^2*x^2)*Pi*x^2) + (b*Erfc[b*x])/(3*E^(b^2*x^2)*Sqrt[Pi]*x^3) - (2*b^3*Erfc[b*x])/(3*E^(b^2*x^2)*Sqrt[Pi]*x) + (b^4*Erfc[b*x]^2)/3 - Erfc[b*x]^2/(4*x^4) - (4*b^4*ExpIntegralEi[-2*b^2*x^2])/(3*Pi)","A",8,6,10,0.6000,1,"{6365, 6392, 6374, 30, 2210, 2214}"
131,1,177,0,0.2819983,"\int \frac{\text{Erfc}(b x)^2}{x^7} \, dx","Int[Erfc[b*x]^2/x^7,x]","\frac{8 b^5 e^{-b^2 x^2} \text{Erfc}(b x)}{45 \sqrt{\pi } x}-\frac{4 b^3 e^{-b^2 x^2} \text{Erfc}(b x)}{45 \sqrt{\pi } x^3}+\frac{2 b e^{-b^2 x^2} \text{Erfc}(b x)}{15 \sqrt{\pi } x^5}-\frac{4}{45} b^6 \text{Erfc}(b x)^2+\frac{28 b^6 \text{Ei}\left(-2 b^2 x^2\right)}{45 \pi }+\frac{2 b^4 e^{-2 b^2 x^2}}{9 \pi  x^2}-\frac{b^2 e^{-2 b^2 x^2}}{15 \pi  x^4}-\frac{\text{Erfc}(b x)^2}{6 x^6}","\frac{8 b^5 e^{-b^2 x^2} \text{Erfc}(b x)}{45 \sqrt{\pi } x}-\frac{4 b^3 e^{-b^2 x^2} \text{Erfc}(b x)}{45 \sqrt{\pi } x^3}+\frac{2 b e^{-b^2 x^2} \text{Erfc}(b x)}{15 \sqrt{\pi } x^5}-\frac{4}{45} b^6 \text{Erfc}(b x)^2+\frac{28 b^6 \text{Ei}\left(-2 b^2 x^2\right)}{45 \pi }+\frac{2 b^4 e^{-2 b^2 x^2}}{9 \pi  x^2}-\frac{b^2 e^{-2 b^2 x^2}}{15 \pi  x^4}-\frac{\text{Erfc}(b x)^2}{6 x^6}",1,"-b^2/(15*E^(2*b^2*x^2)*Pi*x^4) + (2*b^4)/(9*E^(2*b^2*x^2)*Pi*x^2) + (2*b*Erfc[b*x])/(15*E^(b^2*x^2)*Sqrt[Pi]*x^5) - (4*b^3*Erfc[b*x])/(45*E^(b^2*x^2)*Sqrt[Pi]*x^3) + (8*b^5*Erfc[b*x])/(45*E^(b^2*x^2)*Sqrt[Pi]*x) - (4*b^6*Erfc[b*x]^2)/45 - Erfc[b*x]^2/(6*x^6) + (28*b^6*ExpIntegralEi[-2*b^2*x^2])/(45*Pi)","A",12,6,10,0.6000,1,"{6365, 6392, 6374, 30, 2210, 2214}"
132,1,165,0,0.2305682,"\int x^4 \text{Erfc}(b x)^2 \, dx","Int[x^4*Erfc[b*x]^2,x]","-\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{40 \sqrt{2 \pi } b^5}-\frac{2 x^4 e^{-b^2 x^2} \text{Erfc}(b x)}{5 \sqrt{\pi } b}-\frac{4 x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{5 \sqrt{\pi } b^3}-\frac{4 e^{-b^2 x^2} \text{Erfc}(b x)}{5 \sqrt{\pi } b^5}+\frac{x^3 e^{-2 b^2 x^2}}{5 \pi  b^2}+\frac{11 x e^{-2 b^2 x^2}}{20 \pi  b^4}+\frac{1}{5} x^5 \text{Erfc}(b x)^2","-\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{40 \sqrt{2 \pi } b^5}-\frac{2 x^4 e^{-b^2 x^2} \text{Erfc}(b x)}{5 \sqrt{\pi } b}-\frac{4 x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{5 \sqrt{\pi } b^3}-\frac{4 e^{-b^2 x^2} \text{Erfc}(b x)}{5 \sqrt{\pi } b^5}+\frac{x^3 e^{-2 b^2 x^2}}{5 \pi  b^2}+\frac{11 x e^{-2 b^2 x^2}}{20 \pi  b^4}+\frac{1}{5} x^5 \text{Erfc}(b x)^2",1,"(11*x)/(20*b^4*E^(2*b^2*x^2)*Pi) + x^3/(5*b^2*E^(2*b^2*x^2)*Pi) - (43*Erf[Sqrt[2]*b*x])/(40*b^5*Sqrt[2*Pi]) - (4*Erfc[b*x])/(5*b^5*E^(b^2*x^2)*Sqrt[Pi]) - (4*x^2*Erfc[b*x])/(5*b^3*E^(b^2*x^2)*Sqrt[Pi]) - (2*x^4*Erfc[b*x])/(5*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^5*Erfc[b*x]^2)/5","A",10,5,10,0.5000,1,"{6365, 6386, 6383, 2205, 2212}"
133,1,113,0,0.1255944,"\int x^2 \text{Erfc}(b x)^2 \, dx","Int[x^2*Erfc[b*x]^2,x]","-\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{6 \sqrt{2 \pi } b^3}-\frac{2 x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } b}-\frac{2 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } b^3}+\frac{x e^{-2 b^2 x^2}}{3 \pi  b^2}+\frac{1}{3} x^3 \text{Erfc}(b x)^2","-\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{6 \sqrt{2 \pi } b^3}-\frac{2 x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } b}-\frac{2 e^{-b^2 x^2} \text{Erfc}(b x)}{3 \sqrt{\pi } b^3}+\frac{x e^{-2 b^2 x^2}}{3 \pi  b^2}+\frac{1}{3} x^3 \text{Erfc}(b x)^2",1,"x/(3*b^2*E^(2*b^2*x^2)*Pi) - (5*Erf[Sqrt[2]*b*x])/(6*b^3*Sqrt[2*Pi]) - (2*Erfc[b*x])/(3*b^3*E^(b^2*x^2)*Sqrt[Pi]) - (2*x^2*Erfc[b*x])/(3*b*E^(b^2*x^2)*Sqrt[Pi]) + (x^3*Erfc[b*x]^2)/3","A",6,5,10,0.5000,1,"{6365, 6386, 6383, 2205, 2212}"
134,1,56,0,0.0458552,"\int \text{Erfc}(b x)^2 \, dx","Int[Erfc[b*x]^2,x]","-\frac{2 e^{-b^2 x^2} \text{Erfc}(b x)}{\sqrt{\pi } b}-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} b x\right)}{b}+x \text{Erfc}(b x)^2","-\frac{2 e^{-b^2 x^2} \text{Erfc}(b x)}{\sqrt{\pi } b}-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} b x\right)}{b}+x \text{Erfc}(b x)^2",1,"-((Sqrt[2/Pi]*Erf[Sqrt[2]*b*x])/b) - (2*Erfc[b*x])/(b*E^(b^2*x^2)*Sqrt[Pi]) + x*Erfc[b*x]^2","A",4,4,6,0.6667,1,"{6353, 12, 6383, 2205}"
135,0,0,0,0.0171936,"\int \frac{\text{Erfc}(b x)^2}{x^2} \, dx","Int[Erfc[b*x]^2/x^2,x]","\int \frac{\text{Erfc}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Erfc}(b x)^2}{x^2},x\right)",0,"Defer[Int][Erfc[b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
136,0,0,0,0.0169246,"\int \frac{\text{Erfc}(b x)^2}{x^4} \, dx","Int[Erfc[b*x]^2/x^4,x]","\int \frac{\text{Erfc}(b x)^2}{x^4} \, dx","\text{Int}\left(\frac{\text{Erfc}(b x)^2}{x^4},x\right)",0,"Defer[Int][Erfc[b*x]^2/x^4, x]","A",0,0,0,0,-1,"{}"
137,0,0,0,0.0168902,"\int \frac{\text{Erfc}(b x)^2}{x^6} \, dx","Int[Erfc[b*x]^2/x^6,x]","\int \frac{\text{Erfc}(b x)^2}{x^6} \, dx","\text{Int}\left(\frac{\text{Erfc}(b x)^2}{x^6},x\right)",0,"Defer[Int][Erfc[b*x]^2/x^6, x]","A",0,0,0,0,-1,"{}"
138,1,375,0,0.374947,"\int (c+d x)^2 \text{Erfc}(a+b x)^2 \, dx","Int[(c + d*x)^2*Erfc[a + b*x]^2,x]","-\frac{\sqrt{\frac{2}{\pi }} (b c-a d)^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^3}+\frac{d (a+b x)^2 (b c-a d) \text{Erfc}(a+b x)^2}{b^3}+\frac{(a+b x) (b c-a d)^2 \text{Erfc}(a+b x)^2}{b^3}-\frac{2 d e^{-(a+b x)^2} (a+b x) (b c-a d) \text{Erfc}(a+b x)}{\sqrt{\pi } b^3}-\frac{d (b c-a d) \text{Erfc}(a+b x)^2}{2 b^3}-\frac{2 e^{-(a+b x)^2} (b c-a d)^2 \text{Erfc}(a+b x)}{\sqrt{\pi } b^3}+\frac{d e^{-2 (a+b x)^2} (b c-a d)}{\pi  b^3}-\frac{5 d^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{6 \sqrt{2 \pi } b^3}+\frac{d^2 (a+b x)^3 \text{Erfc}(a+b x)^2}{3 b^3}-\frac{2 d^2 e^{-(a+b x)^2} (a+b x)^2 \text{Erfc}(a+b x)}{3 \sqrt{\pi } b^3}-\frac{2 d^2 e^{-(a+b x)^2} \text{Erfc}(a+b x)}{3 \sqrt{\pi } b^3}+\frac{d^2 e^{-2 (a+b x)^2} (a+b x)}{3 \pi  b^3}","-\frac{\sqrt{\frac{2}{\pi }} (b c-a d)^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^3}+\frac{d (a+b x)^2 (b c-a d) \text{Erfc}(a+b x)^2}{b^3}+\frac{(a+b x) (b c-a d)^2 \text{Erfc}(a+b x)^2}{b^3}-\frac{2 d e^{-(a+b x)^2} (a+b x) (b c-a d) \text{Erfc}(a+b x)}{\sqrt{\pi } b^3}-\frac{d (b c-a d) \text{Erfc}(a+b x)^2}{2 b^3}-\frac{2 e^{-(a+b x)^2} (b c-a d)^2 \text{Erfc}(a+b x)}{\sqrt{\pi } b^3}+\frac{d e^{-2 (a+b x)^2} (b c-a d)}{\pi  b^3}-\frac{5 d^2 \text{Erf}\left(\sqrt{2} (a+b x)\right)}{6 \sqrt{2 \pi } b^3}+\frac{d^2 (a+b x)^3 \text{Erfc}(a+b x)^2}{3 b^3}-\frac{2 d^2 e^{-(a+b x)^2} (a+b x)^2 \text{Erfc}(a+b x)}{3 \sqrt{\pi } b^3}-\frac{2 d^2 e^{-(a+b x)^2} \text{Erfc}(a+b x)}{3 \sqrt{\pi } b^3}+\frac{d^2 e^{-2 (a+b x)^2} (a+b x)}{3 \pi  b^3}",1,"(d*(b*c - a*d))/(b^3*E^(2*(a + b*x)^2)*Pi) + (d^2*(a + b*x))/(3*b^3*E^(2*(a + b*x)^2)*Pi) - ((b*c - a*d)^2*Sqrt[2/Pi]*Erf[Sqrt[2]*(a + b*x)])/b^3 - (5*d^2*Erf[Sqrt[2]*(a + b*x)])/(6*b^3*Sqrt[2*Pi]) - (2*d^2*Erfc[a + b*x])/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) - (2*(b*c - a*d)^2*Erfc[a + b*x])/(b^3*E^(a + b*x)^2*Sqrt[Pi]) - (2*d*(b*c - a*d)*(a + b*x)*Erfc[a + b*x])/(b^3*E^(a + b*x)^2*Sqrt[Pi]) - (2*d^2*(a + b*x)^2*Erfc[a + b*x])/(3*b^3*E^(a + b*x)^2*Sqrt[Pi]) - (d*(b*c - a*d)*Erfc[a + b*x]^2)/(2*b^3) + ((b*c - a*d)^2*(a + b*x)*Erfc[a + b*x]^2)/b^3 + (d*(b*c - a*d)*(a + b*x)^2*Erfc[a + b*x]^2)/b^3 + (d^2*(a + b*x)^3*Erfc[a + b*x]^2)/(3*b^3)","A",16,10,16,0.6250,1,"{6368, 6353, 6383, 2205, 6365, 6386, 6374, 30, 2209, 2212}"
139,1,189,0,0.189064,"\int (c+d x) \text{Erfc}(a+b x)^2 \, dx","Int[(c + d*x)*Erfc[a + b*x]^2,x]","-\frac{\sqrt{\frac{2}{\pi }} (b c-a d) \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^2}+\frac{(a+b x) (b c-a d) \text{Erfc}(a+b x)^2}{b^2}-\frac{2 e^{-(a+b x)^2} (b c-a d) \text{Erfc}(a+b x)}{\sqrt{\pi } b^2}+\frac{d (a+b x)^2 \text{Erfc}(a+b x)^2}{2 b^2}-\frac{d \text{Erfc}(a+b x)^2}{4 b^2}-\frac{d e^{-(a+b x)^2} (a+b x) \text{Erfc}(a+b x)}{\sqrt{\pi } b^2}+\frac{d e^{-2 (a+b x)^2}}{2 \pi  b^2}","-\frac{\sqrt{\frac{2}{\pi }} (b c-a d) \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b^2}+\frac{(a+b x) (b c-a d) \text{Erfc}(a+b x)^2}{b^2}-\frac{2 e^{-(a+b x)^2} (b c-a d) \text{Erfc}(a+b x)}{\sqrt{\pi } b^2}+\frac{d (a+b x)^2 \text{Erfc}(a+b x)^2}{2 b^2}-\frac{d \text{Erfc}(a+b x)^2}{4 b^2}-\frac{d e^{-(a+b x)^2} (a+b x) \text{Erfc}(a+b x)}{\sqrt{\pi } b^2}+\frac{d e^{-2 (a+b x)^2}}{2 \pi  b^2}",1,"d/(2*b^2*E^(2*(a + b*x)^2)*Pi) - ((b*c - a*d)*Sqrt[2/Pi]*Erf[Sqrt[2]*(a + b*x)])/b^2 - (2*(b*c - a*d)*Erfc[a + b*x])/(b^2*E^(a + b*x)^2*Sqrt[Pi]) - (d*(a + b*x)*Erfc[a + b*x])/(b^2*E^(a + b*x)^2*Sqrt[Pi]) - (d*Erfc[a + b*x]^2)/(4*b^2) + ((b*c - a*d)*(a + b*x)*Erfc[a + b*x]^2)/b^2 + (d*(a + b*x)^2*Erfc[a + b*x]^2)/(2*b^2)","A",10,9,14,0.6429,1,"{6368, 6353, 6383, 2205, 6365, 6386, 6374, 30, 2209}"
140,1,71,0,0.1562359,"\int \text{Erfc}(a+b x)^2 \, dx","Int[Erfc[a + b*x]^2,x]","-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b}+\frac{(a+b x) \text{Erfc}(a+b x)^2}{b}-\frac{2 e^{-(a+b x)^2} \text{Erfc}(a+b x)}{\sqrt{\pi } b}","-\frac{\sqrt{\frac{2}{\pi }} \text{Erf}\left(\sqrt{2} (a+b x)\right)}{b}+\frac{(a+b x) \text{Erfc}(a+b x)^2}{b}-\frac{2 e^{-(a+b x)^2} \text{Erfc}(a+b x)}{\sqrt{\pi } b}",1,"-((Sqrt[2/Pi]*Erf[Sqrt[2]*(a + b*x)])/b) - (2*Erfc[a + b*x])/(b*E^(a + b*x)^2*Sqrt[Pi]) + ((a + b*x)*Erfc[a + b*x]^2)/b","A",4,3,8,0.3750,1,"{6353, 6383, 2205}"
141,0,0,0,0.0226769,"\int \frac{\text{Erfc}(a+b x)^2}{c+d x} \, dx","Int[Erfc[a + b*x]^2/(c + d*x),x]","\int \frac{\text{Erfc}(a+b x)^2}{c+d x} \, dx","\text{Int}\left(\frac{\text{Erfc}(a+b x)^2}{c+d x},x\right)",0,"Defer[Int][Erfc[a + b*x]^2/(c + d*x), x]","A",0,0,0,0,-1,"{}"
142,0,0,0,0.0230374,"\int \frac{\text{Erfc}(a+b x)^2}{(c+d x)^2} \, dx","Int[Erfc[a + b*x]^2/(c + d*x)^2,x]","\int \frac{\text{Erfc}(a+b x)^2}{(c+d x)^2} \, dx","\text{Int}\left(\frac{\text{Erfc}(a+b x)^2}{(c+d x)^2},x\right)",0,"Defer[Int][Erfc[a + b*x]^2/(c + d*x)^2, x]","A",0,0,0,0,-1,"{}"
143,1,102,0,0.2150686,"\int x^2 \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*Erfc[d*(a + b*Log[c*x^n])],x]","\frac{1}{3} x^3 \left(c x^n\right)^{-3/n} e^{\frac{9-12 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{3}{n}}{2 b d}\right)+\frac{1}{3} x^3 \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)","\frac{1}{3} x^3 \left(c x^n\right)^{-3/n} e^{\frac{9-12 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{3}{n}}{2 b d}\right)+\frac{1}{3} x^3 \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"(E^((9 - 12*a*b*d^2*n)/(4*b^2*d^2*n^2))*x^3*Erf[(2*a*b*d^2 - 3/n + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/(3*(c*x^n)^(3/n)) + (x^3*Erfc[d*(a + b*Log[c*x^n])])/3","A",7,7,17,0.4118,1,"{6402, 2278, 2274, 15, 2276, 2234, 2205}"
144,1,94,0,0.1658087,"\int x \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*Erfc[d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x^2 \left(c x^n\right)^{-2/n} e^{\frac{1-2 a b d^2 n}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{b d}\right)+\frac{1}{2} x^2 \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)","\frac{1}{2} x^2 \left(c x^n\right)^{-2/n} e^{\frac{1-2 a b d^2 n}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{b d}\right)+\frac{1}{2} x^2 \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"(E^((1 - 2*a*b*d^2*n)/(b^2*d^2*n^2))*x^2*Erf[(a*b*d^2 - n^(-1) + b^2*d^2*Log[c*x^n])/(b*d)])/(2*(c*x^n)^(2/n)) + (x^2*Erfc[d*(a + b*Log[c*x^n])])/2","A",7,7,15,0.4667,1,"{6402, 2278, 2274, 15, 2276, 2234, 2205}"
145,1,92,0,0.101062,"\int \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[Erfc[d*(a + b*Log[c*x^n])],x]","x \left(c x^n\right)^{-1/n} e^{\frac{1-4 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{2 b d}\right)+x \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)","x \left(c x^n\right)^{-1/n} e^{\frac{1-4 a b d^2 n}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{2 b d}\right)+x \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)",1,"(E^((1 - 4*a*b*d^2*n)/(4*b^2*d^2*n^2))*x*Erf[(2*a*b*d^2 - n^(-1) + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/(c*x^n)^n^(-1) + x*Erfc[d*(a + b*Log[c*x^n])]","A",7,7,13,0.5385,1,"{6398, 2277, 2274, 15, 2276, 2234, 2205}"
146,1,66,0,0.0430606,"\int \frac{\text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[Erfc[d*(a + b*Log[c*x^n])]/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{e^{-d^2 \left(a+b \log \left(c x^n\right)\right)^2}}{\sqrt{\pi } b d n}","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{e^{-d^2 \left(a+b \log \left(c x^n\right)\right)^2}}{\sqrt{\pi } b d n}",1,"-(1/(b*d*E^(d^2*(a + b*Log[c*x^n])^2)*n*Sqrt[Pi])) + (Erfc[d*(a + b*Log[c*x^n])]*(a + b*Log[c*x^n]))/(b*n)","A",3,1,17,0.05882,1,"{6350}"
147,1,93,0,0.1845175,"\int \frac{\text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[Erfc[d*(a + b*Log[c*x^n])]/x^2,x]","-\frac{\left(c x^n\right)^{\frac{1}{n}} e^{\frac{a}{b n}+\frac{1}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{2 b d}\right)}{x}-\frac{\text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}","-\frac{\left(c x^n\right)^{\frac{1}{n}} e^{\frac{a}{b n}+\frac{1}{4 b^2 d^2 n^2}} \text{Erf}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{2 b d}\right)}{x}-\frac{\text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}",1,"-((E^(1/(4*b^2*d^2*n^2) + a/(b*n))*(c*x^n)^n^(-1)*Erf[(2*a*b*d^2 + n^(-1) + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/x) - Erfc[d*(a + b*Log[c*x^n])]/x","A",7,7,17,0.4118,1,"{6402, 2278, 2274, 15, 2276, 2234, 2205}"
148,1,95,0,0.1885961,"\int \frac{\text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[Erfc[d*(a + b*Log[c*x^n])]/x^3,x]","-\frac{\left(c x^n\right)^{2/n} e^{\frac{2 a b d^2 n+1}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2 n+b^2 d^2 n \log \left(c x^n\right)+1}{b d n}\right)}{2 x^2}-\frac{\text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}","-\frac{\left(c x^n\right)^{2/n} e^{\frac{2 a b d^2 n+1}{b^2 d^2 n^2}} \text{Erf}\left(\frac{a b d^2 n+b^2 d^2 n \log \left(c x^n\right)+1}{b d n}\right)}{2 x^2}-\frac{\text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}",1,"-(E^((1 + 2*a*b*d^2*n)/(b^2*d^2*n^2))*(c*x^n)^(2/n)*Erf[(1 + a*b*d^2*n + b^2*d^2*n*Log[c*x^n])/(b*d*n)])/(2*x^2) - Erfc[d*(a + b*Log[c*x^n])]/(2*x^2)","A",7,7,17,0.4118,1,"{6402, 2278, 2274, 15, 2276, 2234, 2205}"
149,1,126,0,0.2543576,"\int (e x)^m \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Erfc[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^{m+1} \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{x (e x)^m \left(c x^n\right)^{-\frac{m+1}{n}} \exp \left(\frac{(m+1) \left(-4 a b d^2 n+m+1\right)}{4 b^2 d^2 n^2}\right) \text{Erf}\left(\frac{-2 a b d^2 n-2 b^2 d^2 n \log \left(c x^n\right)+m+1}{2 b d n}\right)}{m+1}","\frac{(e x)^{m+1} \text{Erfc}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{x (e x)^m \left(c x^n\right)^{-\frac{m+1}{n}} \exp \left(\frac{(m+1) \left(-4 a b d^2 n+m+1\right)}{4 b^2 d^2 n^2}\right) \text{Erf}\left(\frac{-2 a b d^2 n-2 b^2 d^2 n \log \left(c x^n\right)+m+1}{2 b d n}\right)}{m+1}",1,"-((E^(((1 + m)*(1 + m - 4*a*b*d^2*n))/(4*b^2*d^2*n^2))*x*(e*x)^m*Erf[(1 + m - 2*a*b*d^2*n - 2*b^2*d^2*n*Log[c*x^n])/(2*b*d*n)])/((1 + m)*(c*x^n)^((1 + m)/n))) + ((e*x)^(1 + m)*Erfc[d*(a + b*Log[c*x^n])])/(e*(1 + m))","A",8,8,19,0.4211,1,"{6402, 2278, 2274, 15, 20, 2276, 2234, 2205}"
150,1,21,0,0.0273624,"\int e^{c-b^2 x^2} \text{Erfc}(b x)^2 \, dx","Int[E^(c - b^2*x^2)*Erfc[b*x]^2,x]","-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^3}{6 b}","-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^3}{6 b}",1,"-(E^c*Sqrt[Pi]*Erfc[b*x]^3)/(6*b)","A",2,2,19,0.1053,1,"{6374, 30}"
151,1,21,0,0.0177382,"\int e^{c-b^2 x^2} \text{Erfc}(b x) \, dx","Int[E^(c - b^2*x^2)*Erfc[b*x],x]","-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^2}{4 b}","-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^2}{4 b}",1,"-(E^c*Sqrt[Pi]*Erfc[b*x]^2)/(4*b)","A",2,2,17,0.1176,1,"{6374, 30}"
152,1,20,0,0.02752,"\int \frac{e^{c-b^2 x^2}}{\text{Erfc}(b x)} \, dx","Int[E^(c - b^2*x^2)/Erfc[b*x],x]","-\frac{\sqrt{\pi } e^c \log (\text{Erfc}(b x))}{2 b}","-\frac{\sqrt{\pi } e^c \log (\text{Erfc}(b x))}{2 b}",1,"-(E^c*Sqrt[Pi]*Log[Erfc[b*x]])/(2*b)","A",2,2,19,0.1053,1,"{6374, 29}"
153,1,21,0,0.0277962,"\int \frac{e^{c-b^2 x^2}}{\text{Erfc}(b x)^2} \, dx","Int[E^(c - b^2*x^2)/Erfc[b*x]^2,x]","\frac{\sqrt{\pi } e^c}{2 b \text{Erfc}(b x)}","\frac{\sqrt{\pi } e^c}{2 b \text{Erfc}(b x)}",1,"(E^c*Sqrt[Pi])/(2*b*Erfc[b*x])","A",2,2,19,0.1053,1,"{6374, 30}"
154,1,21,0,0.0293194,"\int \frac{e^{c-b^2 x^2}}{\text{Erfc}(b x)^3} \, dx","Int[E^(c - b^2*x^2)/Erfc[b*x]^3,x]","\frac{\sqrt{\pi } e^c}{4 b \text{Erfc}(b x)^2}","\frac{\sqrt{\pi } e^c}{4 b \text{Erfc}(b x)^2}",1,"(E^c*Sqrt[Pi])/(4*b*Erfc[b*x]^2)","A",2,2,19,0.1053,1,"{6374, 30}"
155,1,28,0,0.0326613,"\int e^{c-b^2 x^2} \text{Erfc}(b x)^n \, dx","Int[E^(c - b^2*x^2)*Erfc[b*x]^n,x]","-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^{n+1}}{2 b (n+1)}","-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^{n+1}}{2 b (n+1)}",1,"-(E^c*Sqrt[Pi]*Erfc[b*x]^(1 + n))/(2*b*(1 + n))","A",2,2,19,0.1053,1,"{6374, 30}"
156,1,283,0,0.3678847,"\int e^{c+d x^2} x^5 \text{Erfc}(b x) \, dx","Int[E^(c + d*x^2)*x^5*Erfc[b*x],x]","-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \left(b^2-d\right)^{3/2}}+\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{d^3 \sqrt{b^2-d}}+\frac{b x e^{c-x^2 \left(b^2-d\right)}}{\sqrt{\pi } d^2 \left(b^2-d\right)}+\frac{3 b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{8 d \left(b^2-d\right)^{5/2}}-\frac{b x^3 e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{3 b x e^{c-x^2 \left(b^2-d\right)}}{4 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{x^2 \text{Erfc}(b x) e^{c+d x^2}}{d^2}+\frac{\text{Erfc}(b x) e^{c+d x^2}}{d^3}+\frac{x^4 \text{Erfc}(b x) e^{c+d x^2}}{2 d}","-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \left(b^2-d\right)^{3/2}}+\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{d^3 \sqrt{b^2-d}}+\frac{b x e^{c-x^2 \left(b^2-d\right)}}{\sqrt{\pi } d^2 \left(b^2-d\right)}+\frac{3 b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{8 d \left(b^2-d\right)^{5/2}}-\frac{b x^3 e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{3 b x e^{c-x^2 \left(b^2-d\right)}}{4 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{x^2 \text{Erfc}(b x) e^{c+d x^2}}{d^2}+\frac{\text{Erfc}(b x) e^{c+d x^2}}{d^3}+\frac{x^4 \text{Erfc}(b x) e^{c+d x^2}}{2 d}",1,"(b*E^(c - (b^2 - d)*x^2)*x)/((b^2 - d)*d^2*Sqrt[Pi]) - (3*b*E^(c - (b^2 - d)*x^2)*x)/(4*(b^2 - d)^2*d*Sqrt[Pi]) - (b*E^(c - (b^2 - d)*x^2)*x^3)/(2*(b^2 - d)*d*Sqrt[Pi]) + (b*E^c*Erf[Sqrt[b^2 - d]*x])/(Sqrt[b^2 - d]*d^3) - (b*E^c*Erf[Sqrt[b^2 - d]*x])/(2*(b^2 - d)^(3/2)*d^2) + (3*b*E^c*Erf[Sqrt[b^2 - d]*x])/(8*(b^2 - d)^(5/2)*d) + (E^(c + d*x^2)*Erfc[b*x])/d^3 - (E^(c + d*x^2)*x^2*Erfc[b*x])/d^2 + (E^(c + d*x^2)*x^4*Erfc[b*x])/(2*d)","A",9,4,17,0.2353,1,"{6386, 6383, 2205, 2212}"
157,1,155,0,0.1568906,"\int e^{c+d x^2} x^3 \text{Erfc}(b x) \, dx","Int[E^(c + d*x^2)*x^3*Erfc[b*x],x]","-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \sqrt{b^2-d}}+\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{4 d \left(b^2-d\right)^{3/2}}-\frac{b x e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{\text{Erfc}(b x) e^{c+d x^2}}{2 d^2}+\frac{x^2 \text{Erfc}(b x) e^{c+d x^2}}{2 d}","-\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d^2 \sqrt{b^2-d}}+\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{4 d \left(b^2-d\right)^{3/2}}-\frac{b x e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{\text{Erfc}(b x) e^{c+d x^2}}{2 d^2}+\frac{x^2 \text{Erfc}(b x) e^{c+d x^2}}{2 d}",1,"-(b*E^(c - (b^2 - d)*x^2)*x)/(2*(b^2 - d)*d*Sqrt[Pi]) - (b*E^c*Erf[Sqrt[b^2 - d]*x])/(2*Sqrt[b^2 - d]*d^2) + (b*E^c*Erf[Sqrt[b^2 - d]*x])/(4*(b^2 - d)^(3/2)*d) - (E^(c + d*x^2)*Erfc[b*x])/(2*d^2) + (E^(c + d*x^2)*x^2*Erfc[b*x])/(2*d)","A",5,4,17,0.2353,1,"{6386, 6383, 2205, 2212}"
158,1,57,0,0.0392718,"\int e^{c+d x^2} x \text{Erfc}(b x) \, dx","Int[E^(c + d*x^2)*x*Erfc[b*x],x]","\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d \sqrt{b^2-d}}+\frac{\text{Erfc}(b x) e^{c+d x^2}}{2 d}","\frac{b e^c \text{Erf}\left(x \sqrt{b^2-d}\right)}{2 d \sqrt{b^2-d}}+\frac{\text{Erfc}(b x) e^{c+d x^2}}{2 d}",1,"(b*E^c*Erf[Sqrt[b^2 - d]*x])/(2*Sqrt[b^2 - d]*d) + (E^(c + d*x^2)*Erfc[b*x])/(2*d)","A",2,2,15,0.1333,1,"{6383, 2205}"
159,0,0,0,0.0373325,"\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x} \, dx","Int[(E^(c + d*x^2)*Erfc[b*x])/x,x]","\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x} \, dx","\text{Int}\left(\frac{\text{Erfc}(b x) e^{c+d x^2}}{x},x\right)",0,"Defer[Int][(E^(c + d*x^2)*Erfc[b*x])/x, x]","A",0,0,0,0,-1,"{}"
160,0,0,0,0.1473377,"\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^3} \, dx","Int[(E^(c + d*x^2)*Erfc[b*x])/x^3,x]","\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^3} \, dx","d \text{Int}\left(\frac{\text{Erfc}(b x) e^{c+d x^2}}{x},x\right)+b e^c \sqrt{b^2-d} \text{Erf}\left(x \sqrt{b^2-d}\right)+\frac{b e^{c-x^2 \left(b^2-d\right)}}{\sqrt{\pi } x}-\frac{\text{Erfc}(b x) e^{c+d x^2}}{2 x^2}",0,"(b*E^(c - (b^2 - d)*x^2))/(Sqrt[Pi]*x) + b*Sqrt[b^2 - d]*E^c*Erf[Sqrt[b^2 - d]*x] - (E^(c + d*x^2)*Erfc[b*x])/(2*x^2) + d*Defer[Int][(E^(c + d*x^2)*Erfc[b*x])/x, x]","A",0,0,0,0,-1,"{}"
161,0,0,0,0.3253329,"\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^5} \, dx","Int[(E^(c + d*x^2)*Erfc[b*x])/x^5,x]","\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^5} \, dx","\frac{1}{2} d^2 \text{Int}\left(\frac{\text{Erfc}(b x) e^{c+d x^2}}{x},x\right)+\frac{1}{2} b e^c d \sqrt{b^2-d} \text{Erf}\left(x \sqrt{b^2-d}\right)-\frac{1}{3} b e^c \left(b^2-d\right)^{3/2} \text{Erf}\left(x \sqrt{b^2-d}\right)+\frac{b d e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } x}-\frac{b \left(b^2-d\right) e^{c-x^2 \left(b^2-d\right)}}{3 \sqrt{\pi } x}+\frac{b e^{c-x^2 \left(b^2-d\right)}}{6 \sqrt{\pi } x^3}-\frac{d \text{Erfc}(b x) e^{c+d x^2}}{4 x^2}-\frac{\text{Erfc}(b x) e^{c+d x^2}}{4 x^4}",0,"(b*E^(c - (b^2 - d)*x^2))/(6*Sqrt[Pi]*x^3) - (b*(b^2 - d)*E^(c - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x) + (b*d*E^(c - (b^2 - d)*x^2))/(2*Sqrt[Pi]*x) - (b*(b^2 - d)^(3/2)*E^c*Erf[Sqrt[b^2 - d]*x])/3 + (b*Sqrt[b^2 - d]*d*E^c*Erf[Sqrt[b^2 - d]*x])/2 - (E^(c + d*x^2)*Erfc[b*x])/(4*x^4) - (d*E^(c + d*x^2)*Erfc[b*x])/(4*x^2) + (d^2*Defer[Int][(E^(c + d*x^2)*Erfc[b*x])/x, x])/2","A",0,0,0,0,-1,"{}"
162,0,0,0,0.2333647,"\int e^{c+d x^2} x^4 \text{Erfc}(b x) \, dx","Int[E^(c + d*x^2)*x^4*Erfc[b*x],x]","\int e^{c+d x^2} x^4 \text{Erfc}(b x) \, dx","\frac{3 \text{Int}\left(\text{Erfc}(b x) e^{c+d x^2},x\right)}{4 d^2}+\frac{3 b e^{c-x^2 \left(b^2-d\right)}}{4 \sqrt{\pi } d^2 \left(b^2-d\right)}-\frac{b x^2 e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{b e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{3 x \text{Erfc}(b x) e^{c+d x^2}}{4 d^2}+\frac{x^3 \text{Erfc}(b x) e^{c+d x^2}}{2 d}",0,"(3*b*E^(c - (b^2 - d)*x^2))/(4*(b^2 - d)*d^2*Sqrt[Pi]) - (b*E^(c - (b^2 - d)*x^2))/(2*(b^2 - d)^2*d*Sqrt[Pi]) - (b*E^(c - (b^2 - d)*x^2)*x^2)/(2*(b^2 - d)*d*Sqrt[Pi]) - (3*E^(c + d*x^2)*x*Erfc[b*x])/(4*d^2) + (E^(c + d*x^2)*x^3*Erfc[b*x])/(2*d) + (3*Defer[Int][E^(c + d*x^2)*Erfc[b*x], x])/(4*d^2)","A",0,0,0,0,-1,"{}"
163,0,0,0,0.0936751,"\int e^{c+d x^2} x^2 \text{Erfc}(b x) \, dx","Int[E^(c + d*x^2)*x^2*Erfc[b*x],x]","\int e^{c+d x^2} x^2 \text{Erfc}(b x) \, dx","-\frac{\text{Int}\left(\text{Erfc}(b x) e^{c+d x^2},x\right)}{2 d}-\frac{b e^{c-x^2 \left(b^2-d\right)}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{x \text{Erfc}(b x) e^{c+d x^2}}{2 d}",0,"-(b*E^(c - (b^2 - d)*x^2))/(2*(b^2 - d)*d*Sqrt[Pi]) + (E^(c + d*x^2)*x*Erfc[b*x])/(2*d) - Defer[Int][E^(c + d*x^2)*Erfc[b*x], x]/(2*d)","A",0,0,0,0,-1,"{}"
164,0,0,0,0.0151178,"\int e^{c+d x^2} \text{Erfc}(b x) \, dx","Int[E^(c + d*x^2)*Erfc[b*x],x]","\int e^{c+d x^2} \text{Erfc}(b x) \, dx","\text{Int}\left(\text{Erfc}(b x) e^{c+d x^2},x\right)",0,"Defer[Int][E^(c + d*x^2)*Erfc[b*x], x]","A",0,0,0,0,-1,"{}"
165,0,0,0,0.1141849,"\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^2} \, dx","Int[(E^(c + d*x^2)*Erfc[b*x])/x^2,x]","\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^2} \, dx","2 d \text{Int}\left(\text{Erfc}(b x) e^{c+d x^2},x\right)-\frac{b e^c \text{Ei}\left(-\left(b^2-d\right) x^2\right)}{\sqrt{\pi }}-\frac{\text{Erfc}(b x) e^{c+d x^2}}{x}",0,"-((E^(c + d*x^2)*Erfc[b*x])/x) - (b*E^c*ExpIntegralEi[-((b^2 - d)*x^2)])/Sqrt[Pi] + 2*d*Defer[Int][E^(c + d*x^2)*Erfc[b*x], x]","A",0,0,0,0,-1,"{}"
166,0,0,0,0.2683185,"\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^4} \, dx","Int[(E^(c + d*x^2)*Erfc[b*x])/x^4,x]","\int \frac{e^{c+d x^2} \text{Erfc}(b x)}{x^4} \, dx","\frac{4}{3} d^2 \text{Int}\left(\text{Erfc}(b x) e^{c+d x^2},x\right)-\frac{2 b e^c d \text{Ei}\left(-\left(b^2-d\right) x^2\right)}{3 \sqrt{\pi }}+\frac{b e^c \left(b^2-d\right) \text{Ei}\left(-\left(b^2-d\right) x^2\right)}{3 \sqrt{\pi }}+\frac{b e^{c-x^2 \left(b^2-d\right)}}{3 \sqrt{\pi } x^2}-\frac{2 d \text{Erfc}(b x) e^{c+d x^2}}{3 x}-\frac{\text{Erfc}(b x) e^{c+d x^2}}{3 x^3}",0,"(b*E^(c - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x^2) - (E^(c + d*x^2)*Erfc[b*x])/(3*x^3) - (2*d*E^(c + d*x^2)*Erfc[b*x])/(3*x) + (b*(b^2 - d)*E^c*ExpIntegralEi[-((b^2 - d)*x^2)])/(3*Sqrt[Pi]) - (2*b*d*E^c*ExpIntegralEi[-((b^2 - d)*x^2)])/(3*Sqrt[Pi]) + (4*d^2*Defer[Int][E^(c + d*x^2)*Erfc[b*x], x])/3","A",0,0,0,0,-1,"{}"
167,1,118,0,0.1465851,"\int e^{c+b^2 x^2} x^5 \text{Erfc}(b x) \, dx","Int[E^(c + b^2*x^2)*x^5*Erfc[b*x],x]","\frac{x^4 e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{x^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{b^4}+\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{b^6}-\frac{2 e^c x^3}{3 \sqrt{\pi } b^3}+\frac{2 e^c x}{\sqrt{\pi } b^5}+\frac{e^c x^5}{5 \sqrt{\pi } b}","\frac{x^4 e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{x^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{b^4}+\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{b^6}-\frac{2 e^c x^3}{3 \sqrt{\pi } b^3}+\frac{2 e^c x}{\sqrt{\pi } b^5}+\frac{e^c x^5}{5 \sqrt{\pi } b}",1,"(2*E^c*x)/(b^5*Sqrt[Pi]) - (2*E^c*x^3)/(3*b^3*Sqrt[Pi]) + (E^c*x^5)/(5*b*Sqrt[Pi]) + (E^(c + b^2*x^2)*Erfc[b*x])/b^6 - (E^(c + b^2*x^2)*x^2*Erfc[b*x])/b^4 + (E^(c + b^2*x^2)*x^4*Erfc[b*x])/(2*b^2)","A",8,5,19,0.2632,1,"{6386, 6383, 8, 12, 30}"
168,1,80,0,0.0892668,"\int e^{c+b^2 x^2} x^3 \text{Erfc}(b x) \, dx","Int[E^(c + b^2*x^2)*x^3*Erfc[b*x],x]","\frac{x^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^4}-\frac{e^c x}{\sqrt{\pi } b^3}+\frac{e^c x^3}{3 \sqrt{\pi } b}","\frac{x^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^4}-\frac{e^c x}{\sqrt{\pi } b^3}+\frac{e^c x^3}{3 \sqrt{\pi } b}",1,"-((E^c*x)/(b^3*Sqrt[Pi])) + (E^c*x^3)/(3*b*Sqrt[Pi]) - (E^(c + b^2*x^2)*Erfc[b*x])/(2*b^4) + (E^(c + b^2*x^2)*x^2*Erfc[b*x])/(2*b^2)","A",5,5,19,0.2632,1,"{6386, 6383, 8, 12, 30}"
169,1,36,0,0.0347616,"\int e^{c+b^2 x^2} x \text{Erfc}(b x) \, dx","Int[E^(c + b^2*x^2)*x*Erfc[b*x],x]","\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}+\frac{e^c x}{\sqrt{\pi } b}","\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}+\frac{e^c x}{\sqrt{\pi } b}",1,"(E^c*x)/(b*Sqrt[Pi]) + (E^(c + b^2*x^2)*Erfc[b*x])/(2*b^2)","A",2,2,17,0.1176,1,"{6383, 8}"
170,1,48,0,0.1203625,"\int \frac{e^{c+b^2 x^2} \text{Erfc}(b x)}{x} \, dx","Int[(E^(c + b^2*x^2)*Erfc[b*x])/x,x]","\frac{1}{2} e^c \text{Ei}\left(b^2 x^2\right)-\frac{2 b e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}","\frac{1}{2} e^c \text{Ei}\left(b^2 x^2\right)-\frac{2 b e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}",1,"(E^c*ExpIntegralEi[b^2*x^2])/2 - (2*b*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]","A",3,3,19,0.1579,1,"{6389, 2210, 6388}"
171,1,88,0,0.1656031,"\int \frac{e^{c+b^2 x^2} \text{Erfc}(b x)}{x^3} \, dx","Int[(E^(c + b^2*x^2)*Erfc[b*x])/x^3,x]","-\frac{2 b^3 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{2 x^2}+\frac{1}{2} b^2 e^c \text{Ei}\left(b^2 x^2\right)+\frac{b e^c}{\sqrt{\pi } x}","-\frac{2 b^3 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{2 x^2}+\frac{1}{2} b^2 e^c \text{Ei}\left(b^2 x^2\right)+\frac{b e^c}{\sqrt{\pi } x}",1,"(b*E^c)/(Sqrt[Pi]*x) - (E^(c + b^2*x^2)*Erfc[b*x])/(2*x^2) + (b^2*E^c*ExpIntegralEi[b^2*x^2])/2 - (2*b^3*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]","A",6,6,19,0.3158,1,"{6392, 6389, 2210, 6388, 12, 30}"
172,1,134,0,0.2016979,"\int \frac{e^{c+b^2 x^2} \text{Erfc}(b x)}{x^5} \, dx","Int[(E^(c + b^2*x^2)*Erfc[b*x])/x^5,x]","-\frac{b^5 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{b^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{4 x^2}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{4 x^4}+\frac{1}{4} b^4 e^c \text{Ei}\left(b^2 x^2\right)+\frac{b^3 e^c}{2 \sqrt{\pi } x}+\frac{b e^c}{6 \sqrt{\pi } x^3}","-\frac{b^5 e^c x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}-\frac{b^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{4 x^2}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{4 x^4}+\frac{1}{4} b^4 e^c \text{Ei}\left(b^2 x^2\right)+\frac{b^3 e^c}{2 \sqrt{\pi } x}+\frac{b e^c}{6 \sqrt{\pi } x^3}",1,"(b*E^c)/(6*Sqrt[Pi]*x^3) + (b^3*E^c)/(2*Sqrt[Pi]*x) - (E^(c + b^2*x^2)*Erfc[b*x])/(4*x^4) - (b^2*E^(c + b^2*x^2)*Erfc[b*x])/(4*x^2) + (b^4*E^c*ExpIntegralEi[b^2*x^2])/4 - (b^5*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]","A",9,6,19,0.3158,1,"{6392, 6389, 2210, 6388, 12, 30}"
173,1,138,0,0.1384334,"\int e^{c+b^2 x^2} x^4 \text{Erfc}(b x) \, dx","Int[E^(c + b^2*x^2)*x^4*Erfc[b*x],x]","-\frac{3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{4 \sqrt{\pi } b^3}+\frac{x^3 e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{3 x e^{b^2 x^2+c} \text{Erfc}(b x)}{4 b^4}+\frac{3 \sqrt{\pi } e^c \text{Erfi}(b x)}{8 b^5}-\frac{3 e^c x^2}{4 \sqrt{\pi } b^3}+\frac{e^c x^4}{4 \sqrt{\pi } b}","-\frac{3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{4 \sqrt{\pi } b^3}+\frac{x^3 e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{3 x e^{b^2 x^2+c} \text{Erfc}(b x)}{4 b^4}+\frac{3 \sqrt{\pi } e^c \text{Erfi}(b x)}{8 b^5}-\frac{3 e^c x^2}{4 \sqrt{\pi } b^3}+\frac{e^c x^4}{4 \sqrt{\pi } b}",1,"(-3*E^c*x^2)/(4*b^3*Sqrt[Pi]) + (E^c*x^4)/(4*b*Sqrt[Pi]) - (3*E^(c + b^2*x^2)*x*Erfc[b*x])/(4*b^4) + (E^(c + b^2*x^2)*x^3*Erfc[b*x])/(2*b^2) + (3*E^c*Sqrt[Pi]*Erfi[b*x])/(8*b^5) - (3*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(4*b^3*Sqrt[Pi])","A",9,6,19,0.3158,1,"{6386, 6377, 2204, 6376, 12, 30}"
174,1,95,0,0.0823174,"\int e^{c+b^2 x^2} x^2 \text{Erfc}(b x) \, dx","Int[E^(c + b^2*x^2)*x^2*Erfc[b*x],x]","\frac{e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi } b}+\frac{x e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{4 b^3}+\frac{e^c x^2}{2 \sqrt{\pi } b}","\frac{e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi } b}+\frac{x e^{b^2 x^2+c} \text{Erfc}(b x)}{2 b^2}-\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{4 b^3}+\frac{e^c x^2}{2 \sqrt{\pi } b}",1,"(E^c*x^2)/(2*b*Sqrt[Pi]) + (E^(c + b^2*x^2)*x*Erfc[b*x])/(2*b^2) - (E^c*Sqrt[Pi]*Erfi[b*x])/(4*b^3) + (E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*b*Sqrt[Pi])","A",6,6,19,0.3158,1,"{6386, 6377, 2204, 6376, 12, 30}"
175,1,50,0,0.0346488,"\int e^{c+b^2 x^2} \text{Erfc}(b x) \, dx","Int[E^(c + b^2*x^2)*Erfc[b*x],x]","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{2 b}-\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{2 b}-\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}",1,"(E^c*Sqrt[Pi]*Erfi[b*x])/(2*b) - (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi]","A",3,3,16,0.1875,1,"{6377, 2204, 6376}"
176,1,80,0,0.0787574,"\int \frac{e^{c+b^2 x^2} \text{Erfc}(b x)}{x^2} \, dx","Int[(E^(c + b^2*x^2)*Erfc[b*x])/x^2,x]","-\frac{2 b^3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{x}+\sqrt{\pi } b e^c \text{Erfi}(b x)-\frac{2 b e^c \log (x)}{\sqrt{\pi }}","-\frac{2 b^3 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{x}+\sqrt{\pi } b e^c \text{Erfi}(b x)-\frac{2 b e^c \log (x)}{\sqrt{\pi }}",1,"-((E^(c + b^2*x^2)*Erfc[b*x])/x) + b*E^c*Sqrt[Pi]*Erfi[b*x] - (2*b^3*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi] - (2*b*E^c*Log[x])/Sqrt[Pi]","A",6,6,19,0.3158,1,"{6392, 6377, 2204, 6376, 12, 29}"
177,1,134,0,0.1289835,"\int \frac{e^{c+b^2 x^2} \text{Erfc}(b x)}{x^4} \, dx","Int[(E^(c + b^2*x^2)*Erfc[b*x])/x^4,x]","-\frac{4 b^5 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{2 b^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{3 x}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{3 x^3}+\frac{2}{3} \sqrt{\pi } b^3 e^c \text{Erfi}(b x)-\frac{4 b^3 e^c \log (x)}{3 \sqrt{\pi }}+\frac{b e^c}{3 \sqrt{\pi } x^2}","-\frac{4 b^5 e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{2 b^2 e^{b^2 x^2+c} \text{Erfc}(b x)}{3 x}-\frac{e^{b^2 x^2+c} \text{Erfc}(b x)}{3 x^3}+\frac{2}{3} \sqrt{\pi } b^3 e^c \text{Erfi}(b x)-\frac{4 b^3 e^c \log (x)}{3 \sqrt{\pi }}+\frac{b e^c}{3 \sqrt{\pi } x^2}",1,"(b*E^c)/(3*Sqrt[Pi]*x^2) - (E^(c + b^2*x^2)*Erfc[b*x])/(3*x^3) - (2*b^2*E^(c + b^2*x^2)*Erfc[b*x])/(3*x) + (2*b^3*E^c*Sqrt[Pi]*Erfi[b*x])/3 - (4*b^5*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(3*Sqrt[Pi]) - (4*b^3*E^c*Log[x])/(3*Sqrt[Pi])","A",9,7,19,0.3684,1,"{6392, 6377, 2204, 6376, 12, 29, 30}"
178,1,135,0,0.1944009,"\int e^{-b^2 x^2} x^5 \text{Erfc}(b x) \, dx","Int[(x^5*Erfc[b*x])/E^(b^2*x^2),x]","-\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{32 \sqrt{2} b^6}-\frac{x^4 e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{b^4}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{b^6}+\frac{x^3 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}+\frac{11 x e^{-2 b^2 x^2}}{16 \sqrt{\pi } b^5}","-\frac{43 \text{Erf}\left(\sqrt{2} b x\right)}{32 \sqrt{2} b^6}-\frac{x^4 e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{b^4}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{b^6}+\frac{x^3 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}+\frac{11 x e^{-2 b^2 x^2}}{16 \sqrt{\pi } b^5}",1,"(11*x)/(16*b^5*E^(2*b^2*x^2)*Sqrt[Pi]) + x^3/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - (43*Erf[Sqrt[2]*b*x])/(32*Sqrt[2]*b^6) - Erfc[b*x]/(b^6*E^(b^2*x^2)) - (x^2*Erfc[b*x])/(b^4*E^(b^2*x^2)) - (x^4*Erfc[b*x])/(2*b^2*E^(b^2*x^2))","A",9,4,18,0.2222,1,"{6386, 6383, 2205, 2212}"
179,1,90,0,0.1014501,"\int e^{-b^2 x^2} x^3 \text{Erfc}(b x) \, dx","Int[(x^3*Erfc[b*x])/E^(b^2*x^2),x]","-\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{8 \sqrt{2} b^4}-\frac{x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^4}+\frac{x e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}","-\frac{5 \text{Erf}\left(\sqrt{2} b x\right)}{8 \sqrt{2} b^4}-\frac{x^2 e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^4}+\frac{x e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}",1,"x/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - (5*Erf[Sqrt[2]*b*x])/(8*Sqrt[2]*b^4) - Erfc[b*x]/(2*b^4*E^(b^2*x^2)) - (x^2*Erfc[b*x])/(2*b^2*E^(b^2*x^2))","A",5,4,18,0.2222,1,"{6386, 6383, 2205, 2212}"
180,1,43,0,0.0310541,"\int e^{-b^2 x^2} x \text{Erfc}(b x) \, dx","Int[(x*Erfc[b*x])/E^(b^2*x^2),x]","-\frac{\text{Erf}\left(\sqrt{2} b x\right)}{2 \sqrt{2} b^2}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}","-\frac{\text{Erf}\left(\sqrt{2} b x\right)}{2 \sqrt{2} b^2}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}",1,"-Erf[Sqrt[2]*b*x]/(2*Sqrt[2]*b^2) - Erfc[b*x]/(2*b^2*E^(b^2*x^2))","A",2,2,16,0.1250,1,"{6383, 2205}"
181,0,0,0,0.0324618,"\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x} \, dx","Int[Erfc[b*x]/(E^(b^2*x^2)*x),x]","\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x} \, dx","\text{Int}\left(\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x},x\right)",0,"Defer[Int][Erfc[b*x]/(E^(b^2*x^2)*x), x]","A",0,0,0,0,-1,"{}"
182,0,0,0,0.0938761,"\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x^3} \, dx","Int[Erfc[b*x]/(E^(b^2*x^2)*x^3),x]","\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x^3} \, dx","-b^2 \text{Int}\left(\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x},x\right)+\sqrt{2} b^2 \text{Erf}\left(\sqrt{2} b x\right)-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{2 x^2}+\frac{b e^{-2 b^2 x^2}}{\sqrt{\pi } x}",0,"b/(E^(2*b^2*x^2)*Sqrt[Pi]*x) + Sqrt[2]*b^2*Erf[Sqrt[2]*b*x] - Erfc[b*x]/(2*E^(b^2*x^2)*x^2) - b^2*Defer[Int][Erfc[b*x]/(E^(b^2*x^2)*x), x]","A",0,0,0,0,-1,"{}"
183,0,0,0,0.1822606,"\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x^5} \, dx","Int[Erfc[b*x]/(E^(b^2*x^2)*x^5),x]","\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x^5} \, dx","\frac{1}{2} b^4 \text{Int}\left(\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x},x\right)-\frac{2}{3} \sqrt{2} b^4 \text{Erf}\left(\sqrt{2} b x\right)-\frac{b^4 \text{Erf}\left(\sqrt{2} b x\right)}{\sqrt{2}}+\frac{b^2 e^{-b^2 x^2} \text{Erfc}(b x)}{4 x^2}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{4 x^4}-\frac{7 b^3 e^{-2 b^2 x^2}}{6 \sqrt{\pi } x}+\frac{b e^{-2 b^2 x^2}}{6 \sqrt{\pi } x^3}",0,"b/(6*E^(2*b^2*x^2)*Sqrt[Pi]*x^3) - (7*b^3)/(6*E^(2*b^2*x^2)*Sqrt[Pi]*x) - (b^4*Erf[Sqrt[2]*b*x])/Sqrt[2] - (2*Sqrt[2]*b^4*Erf[Sqrt[2]*b*x])/3 - Erfc[b*x]/(4*E^(b^2*x^2)*x^4) + (b^2*Erfc[b*x])/(4*E^(b^2*x^2)*x^2) + (b^4*Defer[Int][Erfc[b*x]/(E^(b^2*x^2)*x), x])/2","A",0,0,0,0,-1,"{}"
184,1,112,0,0.166182,"\int e^{-b^2 x^2} x^4 \text{Erfc}(b x) \, dx","Int[(x^4*Erfc[b*x])/E^(b^2*x^2),x]","-\frac{x^3 e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{3 x e^{-b^2 x^2} \text{Erfc}(b x)}{4 b^4}-\frac{3 \sqrt{\pi } \text{Erfc}(b x)^2}{16 b^5}+\frac{x^2 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}+\frac{e^{-2 b^2 x^2}}{2 \sqrt{\pi } b^5}","-\frac{x^3 e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{3 x e^{-b^2 x^2} \text{Erfc}(b x)}{4 b^4}-\frac{3 \sqrt{\pi } \text{Erfc}(b x)^2}{16 b^5}+\frac{x^2 e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}+\frac{e^{-2 b^2 x^2}}{2 \sqrt{\pi } b^5}",1,"1/(2*b^5*E^(2*b^2*x^2)*Sqrt[Pi]) + x^2/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - (3*x*Erfc[b*x])/(4*b^4*E^(b^2*x^2)) - (x^3*Erfc[b*x])/(2*b^2*E^(b^2*x^2)) - (3*Sqrt[Pi]*Erfc[b*x]^2)/(16*b^5)","A",7,5,18,0.2778,1,"{6386, 6374, 30, 2209, 2212}"
185,1,63,0,0.079704,"\int e^{-b^2 x^2} x^2 \text{Erfc}(b x) \, dx","Int[(x^2*Erfc[b*x])/E^(b^2*x^2),x]","-\frac{x e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{\sqrt{\pi } \text{Erfc}(b x)^2}{8 b^3}+\frac{e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}","-\frac{x e^{-b^2 x^2} \text{Erfc}(b x)}{2 b^2}-\frac{\sqrt{\pi } \text{Erfc}(b x)^2}{8 b^3}+\frac{e^{-2 b^2 x^2}}{4 \sqrt{\pi } b^3}",1,"1/(4*b^3*E^(2*b^2*x^2)*Sqrt[Pi]) - (x*Erfc[b*x])/(2*b^2*E^(b^2*x^2)) - (Sqrt[Pi]*Erfc[b*x]^2)/(8*b^3)","A",4,4,18,0.2222,1,"{6386, 6374, 30, 2209}"
186,1,18,0,0.0183673,"\int e^{-b^2 x^2} \text{Erfc}(b x) \, dx","Int[Erfc[b*x]/E^(b^2*x^2),x]","-\frac{\sqrt{\pi } \text{Erfc}(b x)^2}{4 b}","-\frac{\sqrt{\pi } \text{Erfc}(b x)^2}{4 b}",1,"-(Sqrt[Pi]*Erfc[b*x]^2)/(4*b)","A",2,2,15,0.1333,1,"{6374, 30}"
187,1,53,0,0.0860244,"\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x^2} \, dx","Int[Erfc[b*x]/(E^(b^2*x^2)*x^2),x]","-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x}-\frac{b \text{Ei}\left(-2 b^2 x^2\right)}{\sqrt{\pi }}+\frac{1}{2} \sqrt{\pi } b \text{Erfc}(b x)^2","-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x}-\frac{b \text{Ei}\left(-2 b^2 x^2\right)}{\sqrt{\pi }}+\frac{1}{2} \sqrt{\pi } b \text{Erfc}(b x)^2",1,"-(Erfc[b*x]/(E^(b^2*x^2)*x)) + (b*Sqrt[Pi]*Erfc[b*x]^2)/2 - (b*ExpIntegralEi[-2*b^2*x^2])/Sqrt[Pi]","A",4,4,18,0.2222,1,"{6392, 6374, 30, 2210}"
188,1,108,0,0.1566766,"\int \frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x^4} \, dx","Int[Erfc[b*x]/(E^(b^2*x^2)*x^4),x]","\frac{2 b^2 e^{-b^2 x^2} \text{Erfc}(b x)}{3 x}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{3 x^3}-\frac{1}{3} \sqrt{\pi } b^3 \text{Erfc}(b x)^2+\frac{4 b^3 \text{Ei}\left(-2 b^2 x^2\right)}{3 \sqrt{\pi }}+\frac{b e^{-2 b^2 x^2}}{3 \sqrt{\pi } x^2}","\frac{2 b^2 e^{-b^2 x^2} \text{Erfc}(b x)}{3 x}-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{3 x^3}-\frac{1}{3} \sqrt{\pi } b^3 \text{Erfc}(b x)^2+\frac{4 b^3 \text{Ei}\left(-2 b^2 x^2\right)}{3 \sqrt{\pi }}+\frac{b e^{-2 b^2 x^2}}{3 \sqrt{\pi } x^2}",1,"b/(3*E^(2*b^2*x^2)*Sqrt[Pi]*x^2) - Erfc[b*x]/(3*E^(b^2*x^2)*x^3) + (2*b^2*Erfc[b*x])/(3*E^(b^2*x^2)*x) - (b^3*Sqrt[Pi]*Erfc[b*x]^2)/3 + (4*b^3*ExpIntegralEi[-2*b^2*x^2])/(3*Sqrt[Pi])","A",7,5,18,0.2778,1,"{6392, 6374, 30, 2210, 2214}"
189,1,342,0,0.4699049,"\int e^{c+d x^2} x^3 \text{Erfc}(a+b x) \, dx","Int[E^(c + d*x^2)*x^3*Erfc[a + b*x],x]","-\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d^2 \sqrt{b^2-d}}+\frac{a^2 b^3 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{5/2}}+\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d \left(b^2-d\right)^{3/2}}+\frac{a b^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{b x e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{2 d^2}+\frac{x^2 e^{c+d x^2} \text{Erfc}(a+b x)}{2 d}","-\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d^2 \sqrt{b^2-d}}+\frac{a^2 b^3 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{5/2}}+\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d \left(b^2-d\right)^{3/2}}+\frac{a b^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{b x e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{2 d^2}+\frac{x^2 e^{c+d x^2} \text{Erfc}(a+b x)}{2 d}",1,"(a*b^2*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)^2*d*Sqrt[Pi]) - (b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2)*x)/(2*(b^2 - d)*d*Sqrt[Pi]) - (b*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*Sqrt[b^2 - d]*d^2) + (a^2*b^3*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*(b^2 - d)^(5/2)*d) + (b*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(4*(b^2 - d)^(3/2)*d) - (E^(c + d*x^2)*Erfc[a + b*x])/(2*d^2) + (E^(c + d*x^2)*x^2*Erfc[a + b*x])/(2*d)","A",10,6,19,0.3158,1,"{6386, 6383, 2234, 2205, 2241, 2240}"
190,1,86,0,0.0535091,"\int e^{c+d x^2} x \text{Erfc}(a+b x) \, dx","Int[E^(c + d*x^2)*x*Erfc[a + b*x],x]","\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \sqrt{b^2-d}}+\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{2 d}","\frac{b e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \sqrt{b^2-d}}+\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{2 d}",1,"(b*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*Sqrt[b^2 - d]*d) + (E^(c + d*x^2)*Erfc[a + b*x])/(2*d)","A",3,3,17,0.1765,1,"{6383, 2234, 2205}"
191,0,0,0,0.0376461,"\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x} \, dx","Int[(E^(c + d*x^2)*Erfc[a + b*x])/x,x]","\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x} \, dx","\text{Int}\left(\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x},x\right)",0,"Defer[Int][(E^(c + d*x^2)*Erfc[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
192,0,0,0,0.4112353,"\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x^3} \, dx","Int[(E^(c + d*x^2)*Erfc[a + b*x])/x^3,x]","\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x^3} \, dx","\frac{2 a b^2 \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{\sqrt{\pi }}+d \text{Int}\left(\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x},x\right)+b \sqrt{b^2-d} e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)+\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{\sqrt{\pi } x}-\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{2 x^2}",0,"(b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(Sqrt[Pi]*x) + b*Sqrt[b^2 - d]*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]] - (E^(c + d*x^2)*Erfc[a + b*x])/(2*x^2) + (2*a*b^2*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/Sqrt[Pi] + d*Defer[Int][(E^(c + d*x^2)*Erfc[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
193,0,0,0,0.9072427,"\int e^{c+d x^2} x^4 \text{Erfc}(a+b x) \, dx","Int[E^(c + d*x^2)*x^4*Erfc[a + b*x],x]","\int e^{c+d x^2} x^4 \text{Erfc}(a+b x) \, dx","\frac{3 \text{Int}\left(e^{c+d x^2} \text{Erfc}(a+b x),x\right)}{4 d^2}+\frac{3 a b^2 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d^2 \left(b^2-d\right)^{3/2}}+\frac{3 b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{4 \sqrt{\pi } d^2 \left(b^2-d\right)}-\frac{a^3 b^4 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{7/2}}-\frac{3 a b^2 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{4 d \left(b^2-d\right)^{5/2}}-\frac{a^2 b^3 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^3}+\frac{a b^2 x e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{b x^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}-\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)^2}-\frac{3 x e^{c+d x^2} \text{Erfc}(a+b x)}{4 d^2}+\frac{x^3 e^{c+d x^2} \text{Erfc}(a+b x)}{2 d}",0,"(3*b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(4*(b^2 - d)*d^2*Sqrt[Pi]) - (a^2*b^3*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)^3*d*Sqrt[Pi]) - (b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)^2*d*Sqrt[Pi]) + (a*b^2*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2)*x)/(2*(b^2 - d)^2*d*Sqrt[Pi]) - (b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2)*x^2)/(2*(b^2 - d)*d*Sqrt[Pi]) + (3*a*b^2*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(4*(b^2 - d)^(3/2)*d^2) - (a^3*b^4*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*(b^2 - d)^(7/2)*d) - (3*a*b^2*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(4*(b^2 - d)^(5/2)*d) - (3*E^(c + d*x^2)*x*Erfc[a + b*x])/(4*d^2) + (E^(c + d*x^2)*x^3*Erfc[a + b*x])/(2*d) + (3*Defer[Int][E^(c + d*x^2)*Erfc[a + b*x], x])/(4*d^2)","A",0,0,0,0,-1,"{}"
194,0,0,0,0.1823795,"\int e^{c+d x^2} x^2 \text{Erfc}(a+b x) \, dx","Int[E^(c + d*x^2)*x^2*Erfc[a + b*x],x]","\int e^{c+d x^2} x^2 \text{Erfc}(a+b x) \, dx","-\frac{\text{Int}\left(e^{c+d x^2} \text{Erfc}(a+b x),x\right)}{2 d}-\frac{a b^2 e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)}{2 d \left(b^2-d\right)^{3/2}}-\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{2 \sqrt{\pi } d \left(b^2-d\right)}+\frac{x e^{c+d x^2} \text{Erfc}(a+b x)}{2 d}",0,"-(b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(2*(b^2 - d)*d*Sqrt[Pi]) - (a*b^2*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/(2*(b^2 - d)^(3/2)*d) + (E^(c + d*x^2)*x*Erfc[a + b*x])/(2*d) - Defer[Int][E^(c + d*x^2)*Erfc[a + b*x], x]/(2*d)","A",0,0,0,0,-1,"{}"
195,0,0,0,0.0141731,"\int e^{c+d x^2} \text{Erfc}(a+b x) \, dx","Int[E^(c + d*x^2)*Erfc[a + b*x],x]","\int e^{c+d x^2} \text{Erfc}(a+b x) \, dx","\text{Int}\left(e^{c+d x^2} \text{Erfc}(a+b x),x\right)",0,"Defer[Int][E^(c + d*x^2)*Erfc[a + b*x], x]","A",0,0,0,0,-1,"{}"
196,0,0,0,0.2045361,"\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x^2} \, dx","Int[(E^(c + d*x^2)*Erfc[a + b*x])/x^2,x]","\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x^2} \, dx","-\frac{2 b \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{\sqrt{\pi }}+2 d \text{Int}\left(e^{c+d x^2} \text{Erfc}(a+b x),x\right)-\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x}",0,"-((E^(c + d*x^2)*Erfc[a + b*x])/x) - (2*b*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/Sqrt[Pi] + 2*d*Defer[Int][E^(c + d*x^2)*Erfc[a + b*x], x]","A",0,0,0,0,-1,"{}"
197,0,0,0,0.868551,"\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x^4} \, dx","Int[(E^(c + d*x^2)*Erfc[a + b*x])/x^4,x]","\int \frac{e^{c+d x^2} \text{Erfc}(a+b x)}{x^4} \, dx","-\frac{4 a^2 b^3 \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{3 \sqrt{\pi }}+\frac{2 b \left(b^2-d\right) \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{3 \sqrt{\pi }}-\frac{4 b d \text{Int}\left(\frac{e^{-a^2-2 a b x+x^2 \left(d-b^2\right)+c}}{x},x\right)}{3 \sqrt{\pi }}+\frac{4}{3} d^2 \text{Int}\left(e^{c+d x^2} \text{Erfc}(a+b x),x\right)-\frac{2}{3} a b^2 \sqrt{b^2-d} e^{\frac{a^2 d}{b^2-d}+c} \text{Erf}\left(\frac{a b+x \left(b^2-d\right)}{\sqrt{b^2-d}}\right)-\frac{2 a b^2 e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{3 \sqrt{\pi } x}+\frac{b e^{-a^2-2 a b x-x^2 \left(b^2-d\right)+c}}{3 \sqrt{\pi } x^2}-\frac{2 d e^{c+d x^2} \text{Erfc}(a+b x)}{3 x}-\frac{e^{c+d x^2} \text{Erfc}(a+b x)}{3 x^3}",0,"(b*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x^2) - (2*a*b^2*E^(-a^2 + c - 2*a*b*x - (b^2 - d)*x^2))/(3*Sqrt[Pi]*x) - (2*a*b^2*Sqrt[b^2 - d]*E^(c + (a^2*d)/(b^2 - d))*Erf[(a*b + (b^2 - d)*x)/Sqrt[b^2 - d]])/3 - (E^(c + d*x^2)*Erfc[a + b*x])/(3*x^3) - (2*d*E^(c + d*x^2)*Erfc[a + b*x])/(3*x) - (4*a^2*b^3*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) + (2*b*(b^2 - d)*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) - (4*b*d*Defer[Int][E^(-a^2 + c - 2*a*b*x + (-b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) + (4*d^2*Defer[Int][E^(c + d*x^2)*Erfc[a + b*x], x])/3","A",0,0,0,0,-1,"{}"
198,1,60,0,0.134725,"\int \left(\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{x^3}+\frac{b^2 e^{-b^2 x^2} \text{Erfc}(b x)}{x}\right) \, dx","Int[Erfc[b*x]/(E^(b^2*x^2)*x^3) + (b^2*Erfc[b*x])/(E^(b^2*x^2)*x),x]","\sqrt{2} b^2 \text{Erf}\left(\sqrt{2} b x\right)-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{2 x^2}+\frac{b e^{-2 b^2 x^2}}{\sqrt{\pi } x}","\sqrt{2} b^2 \text{Erf}\left(\sqrt{2} b x\right)-\frac{e^{-b^2 x^2} \text{Erfc}(b x)}{2 x^2}+\frac{b e^{-2 b^2 x^2}}{\sqrt{\pi } x}",1,"b/(E^(2*b^2*x^2)*Sqrt[Pi]*x) + Sqrt[2]*b^2*Erf[Sqrt[2]*b*x] - Erfc[b*x]/(2*E^(b^2*x^2)*x^2)","A",4,3,40,0.07500,1,"{6392, 2214, 2205}"
199,1,91,0,0.0772999,"\int \text{Erfc}(b x) \sin \left(c+i b^2 x^2\right) \, dx","Int[Erfc[b*x]*Sin[c + I*b^2*x^2],x]","-\frac{i b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{i \sqrt{\pi } e^{i c} \text{Erfc}(b x)^2}{8 b}+\frac{i \sqrt{\pi } e^{-i c} \text{Erfi}(b x)}{4 b}","-\frac{i b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{i \sqrt{\pi } e^{i c} \text{Erfc}(b x)^2}{8 b}+\frac{i \sqrt{\pi } e^{-i c} \text{Erfi}(b x)}{4 b}",1,"((I/8)*E^(I*c)*Sqrt[Pi]*Erfc[b*x]^2)/b + ((I/4)*Sqrt[Pi]*Erfi[b*x])/(b*E^(I*c)) - ((I/2)*b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(E^(I*c)*Sqrt[Pi])","A",6,6,18,0.3333,1,"{6405, 6377, 2204, 6376, 6374, 30}"
200,1,91,0,0.0754201,"\int \text{Erfc}(b x) \sin \left(c-i b^2 x^2\right) \, dx","Int[Erfc[b*x]*Sin[c - I*b^2*x^2],x]","\frac{i b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{i \sqrt{\pi } e^{-i c} \text{Erfc}(b x)^2}{8 b}-\frac{i \sqrt{\pi } e^{i c} \text{Erfi}(b x)}{4 b}","\frac{i b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{i \sqrt{\pi } e^{-i c} \text{Erfc}(b x)^2}{8 b}-\frac{i \sqrt{\pi } e^{i c} \text{Erfi}(b x)}{4 b}",1,"((-I/8)*Sqrt[Pi]*Erfc[b*x]^2)/(b*E^(I*c)) - ((I/4)*E^(I*c)*Sqrt[Pi]*Erfi[b*x])/b + ((I/2)*b*E^(I*c)*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi]","A",6,6,18,0.3333,1,"{6405, 6374, 30, 6377, 2204, 6376}"
201,1,85,0,0.0734826,"\int \cos \left(c+i b^2 x^2\right) \text{Erfc}(b x) \, dx","Int[Cos[c + I*b^2*x^2]*Erfc[b*x],x]","-\frac{b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{i c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^{-i c} \text{Erfi}(b x)}{4 b}","-\frac{b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{i c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^{-i c} \text{Erfi}(b x)}{4 b}",1,"-(E^(I*c)*Sqrt[Pi]*Erfc[b*x]^2)/(8*b) + (Sqrt[Pi]*Erfi[b*x])/(4*b*E^(I*c)) - (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*E^(I*c)*Sqrt[Pi])","A",6,6,18,0.3333,1,"{6408, 6377, 2204, 6376, 6374, 30}"
202,1,85,0,0.0738777,"\int \cos \left(c-i b^2 x^2\right) \text{Erfc}(b x) \, dx","Int[Cos[c - I*b^2*x^2]*Erfc[b*x],x]","-\frac{b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-i c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^{i c} \text{Erfi}(b x)}{4 b}","-\frac{b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-i c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^{i c} \text{Erfi}(b x)}{4 b}",1,"-(Sqrt[Pi]*Erfc[b*x]^2)/(8*b*E^(I*c)) + (E^(I*c)*Sqrt[Pi]*Erfi[b*x])/(4*b) - (b*E^(I*c)*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*Sqrt[Pi])","A",6,6,18,0.3333,1,"{6408, 6374, 30, 6377, 2204, 6376}"
203,1,75,0,0.069854,"\int \text{Erfc}(b x) \sinh \left(c+b^2 x^2\right) \, dx","Int[Erfc[b*x]*Sinh[c + b^2*x^2],x]","-\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{4 b}","-\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{4 b}",1,"(Sqrt[Pi]*Erfc[b*x]^2)/(8*b*E^c) + (E^c*Sqrt[Pi]*Erfi[b*x])/(4*b) - (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*Sqrt[Pi])","A",6,6,15,0.4000,1,"{6411, 6377, 2204, 6376, 6374, 30}"
204,1,77,0,0.0707612,"\int \text{Erfc}(b x) \sinh \left(c-b^2 x^2\right) \, dx","Int[Erfc[b*x]*Sinh[c - b^2*x^2],x]","\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^2}{8 b}-\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)}{4 b}","\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^2}{8 b}-\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)}{4 b}",1,"-(E^c*Sqrt[Pi]*Erfc[b*x]^2)/(8*b) - (Sqrt[Pi]*Erfi[b*x])/(4*b*E^c) + (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*E^c*Sqrt[Pi])","A",6,6,16,0.3750,1,"{6411, 6374, 30, 6377, 2204, 6376}"
205,1,75,0,0.0716178,"\int \cosh \left(c+b^2 x^2\right) \text{Erfc}(b x) \, dx","Int[Cosh[c + b^2*x^2]*Erfc[b*x],x]","-\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{4 b}","-\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-c} \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^c \text{Erfi}(b x)}{4 b}",1,"-(Sqrt[Pi]*Erfc[b*x]^2)/(8*b*E^c) + (E^c*Sqrt[Pi]*Erfi[b*x])/(4*b) - (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*Sqrt[Pi])","A",6,6,15,0.4000,1,"{6414, 6377, 2204, 6376, 6374, 30}"
206,1,77,0,0.0714556,"\int \cosh \left(c-b^2 x^2\right) \text{Erfc}(b x) \, dx","Int[Cosh[c - b^2*x^2]*Erfc[b*x],x]","-\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)}{4 b}","-\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^c \text{Erfc}(b x)^2}{8 b}+\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)}{4 b}",1,"-(E^c*Sqrt[Pi]*Erfc[b*x]^2)/(8*b) + (Sqrt[Pi]*Erfi[b*x])/(4*b*E^c) - (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/(2*E^c*Sqrt[Pi])","A",6,6,16,0.3750,1,"{6414, 6374, 30, 6377, 2204, 6376}"
207,1,93,0,0.0823144,"\int x^5 \text{Erfi}(b x) \, dx","Int[x^5*Erfi[b*x],x]","\frac{5 \text{Erfi}(b x)}{16 b^6}-\frac{x^5 e^{b^2 x^2}}{6 \sqrt{\pi } b}+\frac{5 x^3 e^{b^2 x^2}}{12 \sqrt{\pi } b^3}-\frac{5 x e^{b^2 x^2}}{8 \sqrt{\pi } b^5}+\frac{1}{6} x^6 \text{Erfi}(b x)","\frac{5 \text{Erfi}(b x)}{16 b^6}-\frac{x^5 e^{b^2 x^2}}{6 \sqrt{\pi } b}+\frac{5 x^3 e^{b^2 x^2}}{12 \sqrt{\pi } b^3}-\frac{5 x e^{b^2 x^2}}{8 \sqrt{\pi } b^5}+\frac{1}{6} x^6 \text{Erfi}(b x)",1,"(-5*E^(b^2*x^2)*x)/(8*b^5*Sqrt[Pi]) + (5*E^(b^2*x^2)*x^3)/(12*b^3*Sqrt[Pi]) - (E^(b^2*x^2)*x^5)/(6*b*Sqrt[Pi]) + (5*Erfi[b*x])/(16*b^6) + (x^6*Erfi[b*x])/6","A",5,3,8,0.3750,1,"{6363, 2212, 2204}"
208,1,69,0,0.0578031,"\int x^3 \text{Erfi}(b x) \, dx","Int[x^3*Erfi[b*x],x]","-\frac{3 \text{Erfi}(b x)}{16 b^4}-\frac{x^3 e^{b^2 x^2}}{4 \sqrt{\pi } b}+\frac{3 x e^{b^2 x^2}}{8 \sqrt{\pi } b^3}+\frac{1}{4} x^4 \text{Erfi}(b x)","-\frac{3 \text{Erfi}(b x)}{16 b^4}-\frac{x^3 e^{b^2 x^2}}{4 \sqrt{\pi } b}+\frac{3 x e^{b^2 x^2}}{8 \sqrt{\pi } b^3}+\frac{1}{4} x^4 \text{Erfi}(b x)",1,"(3*E^(b^2*x^2)*x)/(8*b^3*Sqrt[Pi]) - (E^(b^2*x^2)*x^3)/(4*b*Sqrt[Pi]) - (3*Erfi[b*x])/(16*b^4) + (x^4*Erfi[b*x])/4","A",4,3,8,0.3750,1,"{6363, 2212, 2204}"
209,1,45,0,0.0331474,"\int x \text{Erfi}(b x) \, dx","Int[x*Erfi[b*x],x]","\frac{\text{Erfi}(b x)}{4 b^2}-\frac{x e^{b^2 x^2}}{2 \sqrt{\pi } b}+\frac{1}{2} x^2 \text{Erfi}(b x)","\frac{\text{Erfi}(b x)}{4 b^2}-\frac{x e^{b^2 x^2}}{2 \sqrt{\pi } b}+\frac{1}{2} x^2 \text{Erfi}(b x)",1,"-(E^(b^2*x^2)*x)/(2*b*Sqrt[Pi]) + Erfi[b*x]/(4*b^2) + (x^2*Erfi[b*x])/2","A",3,3,6,0.5000,1,"{6363, 2212, 2204}"
210,1,31,0,0.0125711,"\int \frac{\text{Erfi}(b x)}{x} \, dx","Int[Erfi[b*x]/x,x]","\frac{2 b x \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}","\frac{2 b x \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};b^2 x^2\right)}{\sqrt{\pi }}",1,"(2*b*x*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]","A",1,1,8,0.1250,1,"{6360}"
211,1,40,0,0.0356932,"\int \frac{\text{Erfi}(b x)}{x^3} \, dx","Int[Erfi[b*x]/x^3,x]","b^2 \text{Erfi}(b x)-\frac{b e^{b^2 x^2}}{\sqrt{\pi } x}-\frac{\text{Erfi}(b x)}{2 x^2}","b^2 \text{Erfi}(b x)-\frac{b e^{b^2 x^2}}{\sqrt{\pi } x}-\frac{\text{Erfi}(b x)}{2 x^2}",1,"-((b*E^(b^2*x^2))/(Sqrt[Pi]*x)) + b^2*Erfi[b*x] - Erfi[b*x]/(2*x^2)","A",3,3,8,0.3750,1,"{6363, 2214, 2204}"
212,1,69,0,0.0550196,"\int \frac{\text{Erfi}(b x)}{x^5} \, dx","Int[Erfi[b*x]/x^5,x]","\frac{1}{3} b^4 \text{Erfi}(b x)-\frac{b^3 e^{b^2 x^2}}{3 \sqrt{\pi } x}-\frac{b e^{b^2 x^2}}{6 \sqrt{\pi } x^3}-\frac{\text{Erfi}(b x)}{4 x^4}","\frac{1}{3} b^4 \text{Erfi}(b x)-\frac{b^3 e^{b^2 x^2}}{3 \sqrt{\pi } x}-\frac{b e^{b^2 x^2}}{6 \sqrt{\pi } x^3}-\frac{\text{Erfi}(b x)}{4 x^4}",1,"-(b*E^(b^2*x^2))/(6*Sqrt[Pi]*x^3) - (b^3*E^(b^2*x^2))/(3*Sqrt[Pi]*x) + (b^4*Erfi[b*x])/3 - Erfi[b*x]/(4*x^4)","A",4,3,8,0.3750,1,"{6363, 2214, 2204}"
213,1,93,0,0.0785057,"\int \frac{\text{Erfi}(b x)}{x^7} \, dx","Int[Erfi[b*x]/x^7,x]","\frac{4}{45} b^6 \text{Erfi}(b x)-\frac{4 b^5 e^{b^2 x^2}}{45 \sqrt{\pi } x}-\frac{2 b^3 e^{b^2 x^2}}{45 \sqrt{\pi } x^3}-\frac{b e^{b^2 x^2}}{15 \sqrt{\pi } x^5}-\frac{\text{Erfi}(b x)}{6 x^6}","\frac{4}{45} b^6 \text{Erfi}(b x)-\frac{4 b^5 e^{b^2 x^2}}{45 \sqrt{\pi } x}-\frac{2 b^3 e^{b^2 x^2}}{45 \sqrt{\pi } x^3}-\frac{b e^{b^2 x^2}}{15 \sqrt{\pi } x^5}-\frac{\text{Erfi}(b x)}{6 x^6}",1,"-(b*E^(b^2*x^2))/(15*Sqrt[Pi]*x^5) - (2*b^3*E^(b^2*x^2))/(45*Sqrt[Pi]*x^3) - (4*b^5*E^(b^2*x^2))/(45*Sqrt[Pi]*x) + (4*b^6*Erfi[b*x])/45 - Erfi[b*x]/(6*x^6)","A",5,3,8,0.3750,1,"{6363, 2214, 2204}"
214,1,105,0,0.0859314,"\int x^6 \text{Erfi}(b x) \, dx","Int[x^6*Erfi[b*x],x]","-\frac{x^6 e^{b^2 x^2}}{7 \sqrt{\pi } b}+\frac{3 x^4 e^{b^2 x^2}}{7 \sqrt{\pi } b^3}-\frac{6 x^2 e^{b^2 x^2}}{7 \sqrt{\pi } b^5}+\frac{6 e^{b^2 x^2}}{7 \sqrt{\pi } b^7}+\frac{1}{7} x^7 \text{Erfi}(b x)","-\frac{x^6 e^{b^2 x^2}}{7 \sqrt{\pi } b}+\frac{3 x^4 e^{b^2 x^2}}{7 \sqrt{\pi } b^3}-\frac{6 x^2 e^{b^2 x^2}}{7 \sqrt{\pi } b^5}+\frac{6 e^{b^2 x^2}}{7 \sqrt{\pi } b^7}+\frac{1}{7} x^7 \text{Erfi}(b x)",1,"(6*E^(b^2*x^2))/(7*b^7*Sqrt[Pi]) - (6*E^(b^2*x^2)*x^2)/(7*b^5*Sqrt[Pi]) + (3*E^(b^2*x^2)*x^4)/(7*b^3*Sqrt[Pi]) - (E^(b^2*x^2)*x^6)/(7*b*Sqrt[Pi]) + (x^7*Erfi[b*x])/7","A",5,3,8,0.3750,1,"{6363, 2212, 2209}"
215,1,81,0,0.0646533,"\int x^4 \text{Erfi}(b x) \, dx","Int[x^4*Erfi[b*x],x]","-\frac{x^4 e^{b^2 x^2}}{5 \sqrt{\pi } b}+\frac{2 x^2 e^{b^2 x^2}}{5 \sqrt{\pi } b^3}-\frac{2 e^{b^2 x^2}}{5 \sqrt{\pi } b^5}+\frac{1}{5} x^5 \text{Erfi}(b x)","-\frac{x^4 e^{b^2 x^2}}{5 \sqrt{\pi } b}+\frac{2 x^2 e^{b^2 x^2}}{5 \sqrt{\pi } b^3}-\frac{2 e^{b^2 x^2}}{5 \sqrt{\pi } b^5}+\frac{1}{5} x^5 \text{Erfi}(b x)",1,"(-2*E^(b^2*x^2))/(5*b^5*Sqrt[Pi]) + (2*E^(b^2*x^2)*x^2)/(5*b^3*Sqrt[Pi]) - (E^(b^2*x^2)*x^4)/(5*b*Sqrt[Pi]) + (x^5*Erfi[b*x])/5","A",4,3,8,0.3750,1,"{6363, 2212, 2209}"
216,1,57,0,0.0442204,"\int x^2 \text{Erfi}(b x) \, dx","Int[x^2*Erfi[b*x],x]","-\frac{x^2 e^{b^2 x^2}}{3 \sqrt{\pi } b}+\frac{e^{b^2 x^2}}{3 \sqrt{\pi } b^3}+\frac{1}{3} x^3 \text{Erfi}(b x)","-\frac{x^2 e^{b^2 x^2}}{3 \sqrt{\pi } b}+\frac{e^{b^2 x^2}}{3 \sqrt{\pi } b^3}+\frac{1}{3} x^3 \text{Erfi}(b x)",1,"E^(b^2*x^2)/(3*b^3*Sqrt[Pi]) - (E^(b^2*x^2)*x^2)/(3*b*Sqrt[Pi]) + (x^3*Erfi[b*x])/3","A",3,3,8,0.3750,1,"{6363, 2212, 2209}"
217,1,26,0,0.0047307,"\int \text{Erfi}(b x) \, dx","Int[Erfi[b*x],x]","x \text{Erfi}(b x)-\frac{e^{b^2 x^2}}{\sqrt{\pi } b}","x \text{Erfi}(b x)-\frac{e^{b^2 x^2}}{\sqrt{\pi } b}",1,"-(E^(b^2*x^2)/(b*Sqrt[Pi])) + x*Erfi[b*x]","A",1,1,4,0.2500,1,"{6351}"
218,1,25,0,0.0291507,"\int \frac{\text{Erfi}(b x)}{x^2} \, dx","Int[Erfi[b*x]/x^2,x]","\frac{b \text{Ei}\left(b^2 x^2\right)}{\sqrt{\pi }}-\frac{\text{Erfi}(b x)}{x}","\frac{b \text{Ei}\left(b^2 x^2\right)}{\sqrt{\pi }}-\frac{\text{Erfi}(b x)}{x}",1,"-(Erfi[b*x]/x) + (b*ExpIntegralEi[b^2*x^2])/Sqrt[Pi]","A",2,2,8,0.2500,1,"{6363, 2210}"
219,1,54,0,0.050437,"\int \frac{\text{Erfi}(b x)}{x^4} \, dx","Int[Erfi[b*x]/x^4,x]","\frac{b^3 \text{Ei}\left(b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{b^2 x^2}}{3 \sqrt{\pi } x^2}-\frac{\text{Erfi}(b x)}{3 x^3}","\frac{b^3 \text{Ei}\left(b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{b^2 x^2}}{3 \sqrt{\pi } x^2}-\frac{\text{Erfi}(b x)}{3 x^3}",1,"-(b*E^(b^2*x^2))/(3*Sqrt[Pi]*x^2) - Erfi[b*x]/(3*x^3) + (b^3*ExpIntegralEi[b^2*x^2])/(3*Sqrt[Pi])","A",3,3,8,0.3750,1,"{6363, 2214, 2210}"
220,1,78,0,0.0701197,"\int \frac{\text{Erfi}(b x)}{x^6} \, dx","Int[Erfi[b*x]/x^6,x]","\frac{b^5 \text{Ei}\left(b^2 x^2\right)}{10 \sqrt{\pi }}-\frac{b^3 e^{b^2 x^2}}{10 \sqrt{\pi } x^2}-\frac{b e^{b^2 x^2}}{10 \sqrt{\pi } x^4}-\frac{\text{Erfi}(b x)}{5 x^5}","\frac{b^5 \text{Ei}\left(b^2 x^2\right)}{10 \sqrt{\pi }}-\frac{b^3 e^{b^2 x^2}}{10 \sqrt{\pi } x^2}-\frac{b e^{b^2 x^2}}{10 \sqrt{\pi } x^4}-\frac{\text{Erfi}(b x)}{5 x^5}",1,"-(b*E^(b^2*x^2))/(10*Sqrt[Pi]*x^4) - (b^3*E^(b^2*x^2))/(10*Sqrt[Pi]*x^2) - Erfi[b*x]/(5*x^5) + (b^5*ExpIntegralEi[b^2*x^2])/(10*Sqrt[Pi])","A",4,3,8,0.3750,1,"{6363, 2214, 2210}"
221,1,279,0,0.2499067,"\int (c+d x)^3 \text{Erfi}(a+b x) \, dx","Int[(c + d*x)^3*Erfi[a + b*x],x]","-\frac{d^2 e^{(a+b x)^2} (a+b x)^2 (b c-a d)}{\sqrt{\pi } b^4}+\frac{d^2 e^{(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^4}-\frac{(b c-a d)^4 \text{Erfi}(a+b x)}{4 b^4 d}+\frac{3 d (b c-a d)^2 \text{Erfi}(a+b x)}{4 b^4}-\frac{e^{(a+b x)^2} (b c-a d)^3}{\sqrt{\pi } b^4}-\frac{3 d e^{(a+b x)^2} (a+b x) (b c-a d)^2}{2 \sqrt{\pi } b^4}-\frac{3 d^3 \text{Erfi}(a+b x)}{16 b^4}-\frac{d^3 e^{(a+b x)^2} (a+b x)^3}{4 \sqrt{\pi } b^4}+\frac{3 d^3 e^{(a+b x)^2} (a+b x)}{8 \sqrt{\pi } b^4}+\frac{(c+d x)^4 \text{Erfi}(a+b x)}{4 d}","-\frac{d^2 e^{(a+b x)^2} (a+b x)^2 (b c-a d)}{\sqrt{\pi } b^4}+\frac{d^2 e^{(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^4}-\frac{(b c-a d)^4 \text{Erfi}(a+b x)}{4 b^4 d}+\frac{3 d (b c-a d)^2 \text{Erfi}(a+b x)}{4 b^4}-\frac{e^{(a+b x)^2} (b c-a d)^3}{\sqrt{\pi } b^4}-\frac{3 d e^{(a+b x)^2} (a+b x) (b c-a d)^2}{2 \sqrt{\pi } b^4}-\frac{3 d^3 \text{Erfi}(a+b x)}{16 b^4}-\frac{d^3 e^{(a+b x)^2} (a+b x)^3}{4 \sqrt{\pi } b^4}+\frac{3 d^3 e^{(a+b x)^2} (a+b x)}{8 \sqrt{\pi } b^4}+\frac{(c+d x)^4 \text{Erfi}(a+b x)}{4 d}",1,"(d^2*(b*c - a*d)*E^(a + b*x)^2)/(b^4*Sqrt[Pi]) - ((b*c - a*d)^3*E^(a + b*x)^2)/(b^4*Sqrt[Pi]) + (3*d^3*E^(a + b*x)^2*(a + b*x))/(8*b^4*Sqrt[Pi]) - (3*d*(b*c - a*d)^2*E^(a + b*x)^2*(a + b*x))/(2*b^4*Sqrt[Pi]) - (d^2*(b*c - a*d)*E^(a + b*x)^2*(a + b*x)^2)/(b^4*Sqrt[Pi]) - (d^3*E^(a + b*x)^2*(a + b*x)^3)/(4*b^4*Sqrt[Pi]) - (3*d^3*Erfi[a + b*x])/(16*b^4) + (3*d*(b*c - a*d)^2*Erfi[a + b*x])/(4*b^4) - ((b*c - a*d)^4*Erfi[a + b*x])/(4*b^4*d) + ((c + d*x)^4*Erfi[a + b*x])/(4*d)","A",12,5,14,0.3571,1,"{6363, 2226, 2204, 2209, 2212}"
222,1,186,0,0.1651867,"\int (c+d x)^2 \text{Erfi}(a+b x) \, dx","Int[(c + d*x)^2*Erfi[a + b*x],x]","-\frac{(b c-a d)^3 \text{Erfi}(a+b x)}{3 b^3 d}+\frac{d (b c-a d) \text{Erfi}(a+b x)}{2 b^3}-\frac{e^{(a+b x)^2} (b c-a d)^2}{\sqrt{\pi } b^3}-\frac{d e^{(a+b x)^2} (a+b x) (b c-a d)}{\sqrt{\pi } b^3}-\frac{d^2 e^{(a+b x)^2} (a+b x)^2}{3 \sqrt{\pi } b^3}+\frac{d^2 e^{(a+b x)^2}}{3 \sqrt{\pi } b^3}+\frac{(c+d x)^3 \text{Erfi}(a+b x)}{3 d}","-\frac{(b c-a d)^3 \text{Erfi}(a+b x)}{3 b^3 d}+\frac{d (b c-a d) \text{Erfi}(a+b x)}{2 b^3}-\frac{e^{(a+b x)^2} (b c-a d)^2}{\sqrt{\pi } b^3}-\frac{d e^{(a+b x)^2} (a+b x) (b c-a d)}{\sqrt{\pi } b^3}-\frac{d^2 e^{(a+b x)^2} (a+b x)^2}{3 \sqrt{\pi } b^3}+\frac{d^2 e^{(a+b x)^2}}{3 \sqrt{\pi } b^3}+\frac{(c+d x)^3 \text{Erfi}(a+b x)}{3 d}",1,"(d^2*E^(a + b*x)^2)/(3*b^3*Sqrt[Pi]) - ((b*c - a*d)^2*E^(a + b*x)^2)/(b^3*Sqrt[Pi]) - (d*(b*c - a*d)*E^(a + b*x)^2*(a + b*x))/(b^3*Sqrt[Pi]) - (d^2*E^(a + b*x)^2*(a + b*x)^2)/(3*b^3*Sqrt[Pi]) + (d*(b*c - a*d)*Erfi[a + b*x])/(2*b^3) - ((b*c - a*d)^3*Erfi[a + b*x])/(3*b^3*d) + ((c + d*x)^3*Erfi[a + b*x])/(3*d)","A",9,5,14,0.3571,1,"{6363, 2226, 2204, 2209, 2212}"
223,1,115,0,0.1052702,"\int (c+d x) \text{Erfi}(a+b x) \, dx","Int[(c + d*x)*Erfi[a + b*x],x]","-\frac{(b c-a d)^2 \text{Erfi}(a+b x)}{2 b^2 d}-\frac{e^{(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^2}+\frac{d \text{Erfi}(a+b x)}{4 b^2}-\frac{d e^{(a+b x)^2} (a+b x)}{2 \sqrt{\pi } b^2}+\frac{(c+d x)^2 \text{Erfi}(a+b x)}{2 d}","-\frac{(b c-a d)^2 \text{Erfi}(a+b x)}{2 b^2 d}-\frac{e^{(a+b x)^2} (b c-a d)}{\sqrt{\pi } b^2}+\frac{d \text{Erfi}(a+b x)}{4 b^2}-\frac{d e^{(a+b x)^2} (a+b x)}{2 \sqrt{\pi } b^2}+\frac{(c+d x)^2 \text{Erfi}(a+b x)}{2 d}",1,"-(((b*c - a*d)*E^(a + b*x)^2)/(b^2*Sqrt[Pi])) - (d*E^(a + b*x)^2*(a + b*x))/(2*b^2*Sqrt[Pi]) + (d*Erfi[a + b*x])/(4*b^2) - ((b*c - a*d)^2*Erfi[a + b*x])/(2*b^2*d) + ((c + d*x)^2*Erfi[a + b*x])/(2*d)","A",7,5,12,0.4167,1,"{6363, 2226, 2204, 2209, 2212}"
224,1,35,0,0.0057444,"\int \text{Erfi}(a+b x) \, dx","Int[Erfi[a + b*x],x]","\frac{(a+b x) \text{Erfi}(a+b x)}{b}-\frac{e^{(a+b x)^2}}{\sqrt{\pi } b}","\frac{(a+b x) \text{Erfi}(a+b x)}{b}-\frac{e^{(a+b x)^2}}{\sqrt{\pi } b}",1,"-(E^(a + b*x)^2/(b*Sqrt[Pi])) + ((a + b*x)*Erfi[a + b*x])/b","A",1,1,6,0.1667,1,"{6351}"
225,0,0,0,0.013578,"\int \frac{\text{Erfi}(a+b x)}{c+d x} \, dx","Int[Erfi[a + b*x]/(c + d*x),x]","\int \frac{\text{Erfi}(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\text{Erfi}(a+b x)}{c+d x},x\right)",0,"Defer[Int][Erfi[a + b*x]/(c + d*x), x]","A",0,0,0,0,-1,"{}"
226,0,0,0,0.0358247,"\int \frac{\text{Erfi}(a+b x)}{(c+d x)^2} \, dx","Int[Erfi[a + b*x]/(c + d*x)^2,x]","\int \frac{\text{Erfi}(a+b x)}{(c+d x)^2} \, dx","\frac{2 b \text{Int}\left(\frac{e^{(a+b x)^2}}{c+d x},x\right)}{\sqrt{\pi } d}-\frac{\text{Erfi}(a+b x)}{d (c+d x)}",0,"-(Erfi[a + b*x]/(d*(c + d*x))) + (2*b*Defer[Int][E^(a + b*x)^2/(c + d*x), x])/(d*Sqrt[Pi])","A",0,0,0,0,-1,"{}"
227,0,0,0,0.0741336,"\int \frac{\text{Erfi}(a+b x)}{(c+d x)^3} \, dx","Int[Erfi[a + b*x]/(c + d*x)^3,x]","\int \frac{\text{Erfi}(a+b x)}{(c+d x)^3} \, dx","-\frac{2 b^2 (b c-a d) \text{Int}\left(\frac{e^{(a+b x)^2}}{c+d x},x\right)}{\sqrt{\pi } d^3}+\frac{b^2 \text{Erfi}(a+b x)}{d^3}-\frac{b e^{(a+b x)^2}}{\sqrt{\pi } d^2 (c+d x)}-\frac{\text{Erfi}(a+b x)}{2 d (c+d x)^2}",0,"-((b*E^(a + b*x)^2)/(d^2*Sqrt[Pi]*(c + d*x))) + (b^2*Erfi[a + b*x])/d^3 - Erfi[a + b*x]/(2*d*(c + d*x)^2) - (2*b^2*(b*c - a*d)*Defer[Int][E^(a + b*x)^2/(c + d*x), x])/(d^3*Sqrt[Pi])","A",0,0,0,0,-1,"{}"
228,1,175,0,0.2555863,"\int x^5 \text{Erfi}(b x)^2 \, dx","Int[x^5*Erfi[b*x]^2,x]","-\frac{x^5 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } b}+\frac{5 x^3 e^{b^2 x^2} \text{Erfi}(b x)}{6 \sqrt{\pi } b^3}-\frac{5 x e^{b^2 x^2} \text{Erfi}(b x)}{4 \sqrt{\pi } b^5}+\frac{5 \text{Erfi}(b x)^2}{16 b^6}+\frac{x^4 e^{2 b^2 x^2}}{6 \pi  b^2}-\frac{7 x^2 e^{2 b^2 x^2}}{12 \pi  b^4}+\frac{11 e^{2 b^2 x^2}}{12 \pi  b^6}+\frac{1}{6} x^6 \text{Erfi}(b x)^2","-\frac{x^5 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } b}+\frac{5 x^3 e^{b^2 x^2} \text{Erfi}(b x)}{6 \sqrt{\pi } b^3}-\frac{5 x e^{b^2 x^2} \text{Erfi}(b x)}{4 \sqrt{\pi } b^5}+\frac{5 \text{Erfi}(b x)^2}{16 b^6}+\frac{x^4 e^{2 b^2 x^2}}{6 \pi  b^2}-\frac{7 x^2 e^{2 b^2 x^2}}{12 \pi  b^4}+\frac{11 e^{2 b^2 x^2}}{12 \pi  b^6}+\frac{1}{6} x^6 \text{Erfi}(b x)^2",1,"(11*E^(2*b^2*x^2))/(12*b^6*Pi) - (7*E^(2*b^2*x^2)*x^2)/(12*b^4*Pi) + (E^(2*b^2*x^2)*x^4)/(6*b^2*Pi) - (5*E^(b^2*x^2)*x*Erfi[b*x])/(4*b^5*Sqrt[Pi]) + (5*E^(b^2*x^2)*x^3*Erfi[b*x])/(6*b^3*Sqrt[Pi]) - (E^(b^2*x^2)*x^5*Erfi[b*x])/(3*b*Sqrt[Pi]) + (5*Erfi[b*x]^2)/(16*b^6) + (x^6*Erfi[b*x]^2)/6","A",12,6,10,0.6000,1,"{6366, 6387, 6375, 30, 2209, 2212}"
229,1,124,0,0.1590841,"\int x^3 \text{Erfi}(b x)^2 \, dx","Int[x^3*Erfi[b*x]^2,x]","-\frac{x^3 e^{b^2 x^2} \text{Erfi}(b x)}{2 \sqrt{\pi } b}+\frac{3 x e^{b^2 x^2} \text{Erfi}(b x)}{4 \sqrt{\pi } b^3}-\frac{3 \text{Erfi}(b x)^2}{16 b^4}+\frac{x^2 e^{2 b^2 x^2}}{4 \pi  b^2}-\frac{e^{2 b^2 x^2}}{2 \pi  b^4}+\frac{1}{4} x^4 \text{Erfi}(b x)^2","-\frac{x^3 e^{b^2 x^2} \text{Erfi}(b x)}{2 \sqrt{\pi } b}+\frac{3 x e^{b^2 x^2} \text{Erfi}(b x)}{4 \sqrt{\pi } b^3}-\frac{3 \text{Erfi}(b x)^2}{16 b^4}+\frac{x^2 e^{2 b^2 x^2}}{4 \pi  b^2}-\frac{e^{2 b^2 x^2}}{2 \pi  b^4}+\frac{1}{4} x^4 \text{Erfi}(b x)^2",1,"-E^(2*b^2*x^2)/(2*b^4*Pi) + (E^(2*b^2*x^2)*x^2)/(4*b^2*Pi) + (3*E^(b^2*x^2)*x*Erfi[b*x])/(4*b^3*Sqrt[Pi]) - (E^(b^2*x^2)*x^3*Erfi[b*x])/(2*b*Sqrt[Pi]) - (3*Erfi[b*x]^2)/(16*b^4) + (x^4*Erfi[b*x]^2)/4","A",8,6,10,0.6000,1,"{6366, 6387, 6375, 30, 2209, 2212}"
230,1,71,0,0.0766503,"\int x \text{Erfi}(b x)^2 \, dx","Int[x*Erfi[b*x]^2,x]","-\frac{x e^{b^2 x^2} \text{Erfi}(b x)}{\sqrt{\pi } b}+\frac{\text{Erfi}(b x)^2}{4 b^2}+\frac{e^{2 b^2 x^2}}{2 \pi  b^2}+\frac{1}{2} x^2 \text{Erfi}(b x)^2","-\frac{x e^{b^2 x^2} \text{Erfi}(b x)}{\sqrt{\pi } b}+\frac{\text{Erfi}(b x)^2}{4 b^2}+\frac{e^{2 b^2 x^2}}{2 \pi  b^2}+\frac{1}{2} x^2 \text{Erfi}(b x)^2",1,"E^(2*b^2*x^2)/(2*b^2*Pi) - (E^(b^2*x^2)*x*Erfi[b*x])/(b*Sqrt[Pi]) + Erfi[b*x]^2/(4*b^2) + (x^2*Erfi[b*x]^2)/2","A",5,5,8,0.6250,1,"{6366, 6387, 6375, 30, 2209}"
231,0,0,0,0.0163806,"\int \frac{\text{Erfi}(b x)^2}{x} \, dx","Int[Erfi[b*x]^2/x,x]","\int \frac{\text{Erfi}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Erfi}(b x)^2}{x},x\right)",0,"Defer[Int][Erfi[b*x]^2/x, x]","A",0,0,0,0,-1,"{}"
232,1,65,0,0.0901547,"\int \frac{\text{Erfi}(b x)^2}{x^3} \, dx","Int[Erfi[b*x]^2/x^3,x]","-\frac{2 b e^{b^2 x^2} \text{Erfi}(b x)}{\sqrt{\pi } x}+b^2 \text{Erfi}(b x)^2+\frac{2 b^2 \text{Ei}\left(2 b^2 x^2\right)}{\pi }-\frac{\text{Erfi}(b x)^2}{2 x^2}","-\frac{2 b e^{b^2 x^2} \text{Erfi}(b x)}{\sqrt{\pi } x}+b^2 \text{Erfi}(b x)^2+\frac{2 b^2 \text{Ei}\left(2 b^2 x^2\right)}{\pi }-\frac{\text{Erfi}(b x)^2}{2 x^2}",1,"(-2*b*E^(b^2*x^2)*Erfi[b*x])/(Sqrt[Pi]*x) + b^2*Erfi[b*x]^2 - Erfi[b*x]^2/(2*x^2) + (2*b^2*ExpIntegralEi[2*b^2*x^2])/Pi","A",5,5,10,0.5000,1,"{6366, 6393, 6375, 30, 2210}"
233,1,123,0,0.1654326,"\int \frac{\text{Erfi}(b x)^2}{x^5} \, dx","Int[Erfi[b*x]^2/x^5,x]","-\frac{2 b^3 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } x}-\frac{b e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } x^3}+\frac{1}{3} b^4 \text{Erfi}(b x)^2+\frac{4 b^4 \text{Ei}\left(2 b^2 x^2\right)}{3 \pi }-\frac{b^2 e^{2 b^2 x^2}}{3 \pi  x^2}-\frac{\text{Erfi}(b x)^2}{4 x^4}","-\frac{2 b^3 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } x}-\frac{b e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } x^3}+\frac{1}{3} b^4 \text{Erfi}(b x)^2+\frac{4 b^4 \text{Ei}\left(2 b^2 x^2\right)}{3 \pi }-\frac{b^2 e^{2 b^2 x^2}}{3 \pi  x^2}-\frac{\text{Erfi}(b x)^2}{4 x^4}",1,"-(b^2*E^(2*b^2*x^2))/(3*Pi*x^2) - (b*E^(b^2*x^2)*Erfi[b*x])/(3*Sqrt[Pi]*x^3) - (2*b^3*E^(b^2*x^2)*Erfi[b*x])/(3*Sqrt[Pi]*x) + (b^4*Erfi[b*x]^2)/3 - Erfi[b*x]^2/(4*x^4) + (4*b^4*ExpIntegralEi[2*b^2*x^2])/(3*Pi)","A",8,6,10,0.6000,1,"{6366, 6393, 6375, 30, 2210, 2214}"
234,1,174,0,0.278855,"\int \frac{\text{Erfi}(b x)^2}{x^7} \, dx","Int[Erfi[b*x]^2/x^7,x]","-\frac{8 b^5 e^{b^2 x^2} \text{Erfi}(b x)}{45 \sqrt{\pi } x}-\frac{4 b^3 e^{b^2 x^2} \text{Erfi}(b x)}{45 \sqrt{\pi } x^3}-\frac{2 b e^{b^2 x^2} \text{Erfi}(b x)}{15 \sqrt{\pi } x^5}+\frac{4}{45} b^6 \text{Erfi}(b x)^2+\frac{28 b^6 \text{Ei}\left(2 b^2 x^2\right)}{45 \pi }-\frac{2 b^4 e^{2 b^2 x^2}}{9 \pi  x^2}-\frac{b^2 e^{2 b^2 x^2}}{15 \pi  x^4}-\frac{\text{Erfi}(b x)^2}{6 x^6}","-\frac{8 b^5 e^{b^2 x^2} \text{Erfi}(b x)}{45 \sqrt{\pi } x}-\frac{4 b^3 e^{b^2 x^2} \text{Erfi}(b x)}{45 \sqrt{\pi } x^3}-\frac{2 b e^{b^2 x^2} \text{Erfi}(b x)}{15 \sqrt{\pi } x^5}+\frac{4}{45} b^6 \text{Erfi}(b x)^2+\frac{28 b^6 \text{Ei}\left(2 b^2 x^2\right)}{45 \pi }-\frac{2 b^4 e^{2 b^2 x^2}}{9 \pi  x^2}-\frac{b^2 e^{2 b^2 x^2}}{15 \pi  x^4}-\frac{\text{Erfi}(b x)^2}{6 x^6}",1,"-(b^2*E^(2*b^2*x^2))/(15*Pi*x^4) - (2*b^4*E^(2*b^2*x^2))/(9*Pi*x^2) - (2*b*E^(b^2*x^2)*Erfi[b*x])/(15*Sqrt[Pi]*x^5) - (4*b^3*E^(b^2*x^2)*Erfi[b*x])/(45*Sqrt[Pi]*x^3) - (8*b^5*E^(b^2*x^2)*Erfi[b*x])/(45*Sqrt[Pi]*x) + (4*b^6*Erfi[b*x]^2)/45 - Erfi[b*x]^2/(6*x^6) + (28*b^6*ExpIntegralEi[2*b^2*x^2])/(45*Pi)","A",12,6,10,0.6000,1,"{6366, 6393, 6375, 30, 2210, 2214}"
235,1,162,0,0.2250137,"\int x^4 \text{Erfi}(b x)^2 \, dx","Int[x^4*Erfi[b*x]^2,x]","-\frac{2 x^4 e^{b^2 x^2} \text{Erfi}(b x)}{5 \sqrt{\pi } b}+\frac{4 x^2 e^{b^2 x^2} \text{Erfi}(b x)}{5 \sqrt{\pi } b^3}-\frac{4 e^{b^2 x^2} \text{Erfi}(b x)}{5 \sqrt{\pi } b^5}+\frac{43 \text{Erfi}\left(\sqrt{2} b x\right)}{40 \sqrt{2 \pi } b^5}+\frac{x^3 e^{2 b^2 x^2}}{5 \pi  b^2}-\frac{11 x e^{2 b^2 x^2}}{20 \pi  b^4}+\frac{1}{5} x^5 \text{Erfi}(b x)^2","-\frac{2 x^4 e^{b^2 x^2} \text{Erfi}(b x)}{5 \sqrt{\pi } b}+\frac{4 x^2 e^{b^2 x^2} \text{Erfi}(b x)}{5 \sqrt{\pi } b^3}-\frac{4 e^{b^2 x^2} \text{Erfi}(b x)}{5 \sqrt{\pi } b^5}+\frac{43 \text{Erfi}\left(\sqrt{2} b x\right)}{40 \sqrt{2 \pi } b^5}+\frac{x^3 e^{2 b^2 x^2}}{5 \pi  b^2}-\frac{11 x e^{2 b^2 x^2}}{20 \pi  b^4}+\frac{1}{5} x^5 \text{Erfi}(b x)^2",1,"(-11*E^(2*b^2*x^2)*x)/(20*b^4*Pi) + (E^(2*b^2*x^2)*x^3)/(5*b^2*Pi) - (4*E^(b^2*x^2)*Erfi[b*x])/(5*b^5*Sqrt[Pi]) + (4*E^(b^2*x^2)*x^2*Erfi[b*x])/(5*b^3*Sqrt[Pi]) - (2*E^(b^2*x^2)*x^4*Erfi[b*x])/(5*b*Sqrt[Pi]) + (x^5*Erfi[b*x]^2)/5 + (43*Erfi[Sqrt[2]*b*x])/(40*b^5*Sqrt[2*Pi])","A",10,5,10,0.5000,1,"{6366, 6387, 6384, 2204, 2212}"
236,1,111,0,0.1196234,"\int x^2 \text{Erfi}(b x)^2 \, dx","Int[x^2*Erfi[b*x]^2,x]","-\frac{2 x^2 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } b}+\frac{2 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } b^3}-\frac{5 \text{Erfi}\left(\sqrt{2} b x\right)}{6 \sqrt{2 \pi } b^3}+\frac{x e^{2 b^2 x^2}}{3 \pi  b^2}+\frac{1}{3} x^3 \text{Erfi}(b x)^2","-\frac{2 x^2 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } b}+\frac{2 e^{b^2 x^2} \text{Erfi}(b x)}{3 \sqrt{\pi } b^3}-\frac{5 \text{Erfi}\left(\sqrt{2} b x\right)}{6 \sqrt{2 \pi } b^3}+\frac{x e^{2 b^2 x^2}}{3 \pi  b^2}+\frac{1}{3} x^3 \text{Erfi}(b x)^2",1,"(E^(2*b^2*x^2)*x)/(3*b^2*Pi) + (2*E^(b^2*x^2)*Erfi[b*x])/(3*b^3*Sqrt[Pi]) - (2*E^(b^2*x^2)*x^2*Erfi[b*x])/(3*b*Sqrt[Pi]) + (x^3*Erfi[b*x]^2)/3 - (5*Erfi[Sqrt[2]*b*x])/(6*b^3*Sqrt[2*Pi])","A",6,5,10,0.5000,1,"{6366, 6387, 6384, 2204, 2212}"
237,1,54,0,0.0445048,"\int \text{Erfi}(b x)^2 \, dx","Int[Erfi[b*x]^2,x]","-\frac{2 e^{b^2 x^2} \text{Erfi}(b x)}{\sqrt{\pi } b}+x \text{Erfi}(b x)^2+\frac{\sqrt{\frac{2}{\pi }} \text{Erfi}\left(\sqrt{2} b x\right)}{b}","-\frac{2 e^{b^2 x^2} \text{Erfi}(b x)}{\sqrt{\pi } b}+x \text{Erfi}(b x)^2+\frac{\sqrt{\frac{2}{\pi }} \text{Erfi}\left(\sqrt{2} b x\right)}{b}",1,"(-2*E^(b^2*x^2)*Erfi[b*x])/(b*Sqrt[Pi]) + x*Erfi[b*x]^2 + (Sqrt[2/Pi]*Erfi[Sqrt[2]*b*x])/b","A",4,4,6,0.6667,1,"{6354, 12, 6384, 2204}"
238,0,0,0,0.0177361,"\int \frac{\text{Erfi}(b x)^2}{x^2} \, dx","Int[Erfi[b*x]^2/x^2,x]","\int \frac{\text{Erfi}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Erfi}(b x)^2}{x^2},x\right)",0,"Defer[Int][Erfi[b*x]^2/x^2, x]","A",0,0,0,0,-1,"{}"
239,0,0,0,0.0171603,"\int \frac{\text{Erfi}(b x)^2}{x^4} \, dx","Int[Erfi[b*x]^2/x^4,x]","\int \frac{\text{Erfi}(b x)^2}{x^4} \, dx","\text{Int}\left(\frac{\text{Erfi}(b x)^2}{x^4},x\right)",0,"Defer[Int][Erfi[b*x]^2/x^4, x]","A",0,0,0,0,-1,"{}"
240,0,0,0,0.016658,"\int \frac{\text{Erfi}(b x)^2}{x^6} \, dx","Int[Erfi[b*x]^2/x^6,x]","\int \frac{\text{Erfi}(b x)^2}{x^6} \, dx","\text{Int}\left(\frac{\text{Erfi}(b x)^2}{x^6},x\right)",0,"Defer[Int][Erfi[b*x]^2/x^6, x]","A",0,0,0,0,-1,"{}"
241,1,366,0,0.3611782,"\int (c+d x)^2 \text{Erfi}(a+b x)^2 \, dx","Int[(c + d*x)^2*Erfi[a + b*x]^2,x]","\frac{d (a+b x)^2 (b c-a d) \text{Erfi}(a+b x)^2}{b^3}+\frac{(a+b x) (b c-a d)^2 \text{Erfi}(a+b x)^2}{b^3}-\frac{2 d e^{(a+b x)^2} (a+b x) (b c-a d) \text{Erfi}(a+b x)}{\sqrt{\pi } b^3}+\frac{d (b c-a d) \text{Erfi}(a+b x)^2}{2 b^3}-\frac{2 e^{(a+b x)^2} (b c-a d)^2 \text{Erfi}(a+b x)}{\sqrt{\pi } b^3}+\frac{\sqrt{\frac{2}{\pi }} (b c-a d)^2 \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{b^3}+\frac{d e^{2 (a+b x)^2} (b c-a d)}{\pi  b^3}+\frac{d^2 (a+b x)^3 \text{Erfi}(a+b x)^2}{3 b^3}-\frac{2 d^2 e^{(a+b x)^2} (a+b x)^2 \text{Erfi}(a+b x)}{3 \sqrt{\pi } b^3}+\frac{2 d^2 e^{(a+b x)^2} \text{Erfi}(a+b x)}{3 \sqrt{\pi } b^3}-\frac{5 d^2 \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{6 \sqrt{2 \pi } b^3}+\frac{d^2 e^{2 (a+b x)^2} (a+b x)}{3 \pi  b^3}","\frac{d (a+b x)^2 (b c-a d) \text{Erfi}(a+b x)^2}{b^3}+\frac{(a+b x) (b c-a d)^2 \text{Erfi}(a+b x)^2}{b^3}-\frac{2 d e^{(a+b x)^2} (a+b x) (b c-a d) \text{Erfi}(a+b x)}{\sqrt{\pi } b^3}+\frac{d (b c-a d) \text{Erfi}(a+b x)^2}{2 b^3}-\frac{2 e^{(a+b x)^2} (b c-a d)^2 \text{Erfi}(a+b x)}{\sqrt{\pi } b^3}+\frac{\sqrt{\frac{2}{\pi }} (b c-a d)^2 \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{b^3}+\frac{d e^{2 (a+b x)^2} (b c-a d)}{\pi  b^3}+\frac{d^2 (a+b x)^3 \text{Erfi}(a+b x)^2}{3 b^3}-\frac{2 d^2 e^{(a+b x)^2} (a+b x)^2 \text{Erfi}(a+b x)}{3 \sqrt{\pi } b^3}+\frac{2 d^2 e^{(a+b x)^2} \text{Erfi}(a+b x)}{3 \sqrt{\pi } b^3}-\frac{5 d^2 \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{6 \sqrt{2 \pi } b^3}+\frac{d^2 e^{2 (a+b x)^2} (a+b x)}{3 \pi  b^3}",1,"(d*(b*c - a*d)*E^(2*(a + b*x)^2))/(b^3*Pi) + (d^2*E^(2*(a + b*x)^2)*(a + b*x))/(3*b^3*Pi) + (2*d^2*E^(a + b*x)^2*Erfi[a + b*x])/(3*b^3*Sqrt[Pi]) - (2*(b*c - a*d)^2*E^(a + b*x)^2*Erfi[a + b*x])/(b^3*Sqrt[Pi]) - (2*d*(b*c - a*d)*E^(a + b*x)^2*(a + b*x)*Erfi[a + b*x])/(b^3*Sqrt[Pi]) - (2*d^2*E^(a + b*x)^2*(a + b*x)^2*Erfi[a + b*x])/(3*b^3*Sqrt[Pi]) + (d*(b*c - a*d)*Erfi[a + b*x]^2)/(2*b^3) + ((b*c - a*d)^2*(a + b*x)*Erfi[a + b*x]^2)/b^3 + (d*(b*c - a*d)*(a + b*x)^2*Erfi[a + b*x]^2)/b^3 + (d^2*(a + b*x)^3*Erfi[a + b*x]^2)/(3*b^3) + ((b*c - a*d)^2*Sqrt[2/Pi]*Erfi[Sqrt[2]*(a + b*x)])/b^3 - (5*d^2*Erfi[Sqrt[2]*(a + b*x)])/(6*b^3*Sqrt[2*Pi])","A",16,10,16,0.6250,1,"{6369, 6354, 6384, 2204, 6366, 6387, 6375, 30, 2209, 2212}"
242,1,184,0,0.1819941,"\int (c+d x) \text{Erfi}(a+b x)^2 \, dx","Int[(c + d*x)*Erfi[a + b*x]^2,x]","\frac{(a+b x) (b c-a d) \text{Erfi}(a+b x)^2}{b^2}-\frac{2 e^{(a+b x)^2} (b c-a d) \text{Erfi}(a+b x)}{\sqrt{\pi } b^2}+\frac{\sqrt{\frac{2}{\pi }} (b c-a d) \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{b^2}+\frac{d (a+b x)^2 \text{Erfi}(a+b x)^2}{2 b^2}+\frac{d \text{Erfi}(a+b x)^2}{4 b^2}-\frac{d e^{(a+b x)^2} (a+b x) \text{Erfi}(a+b x)}{\sqrt{\pi } b^2}+\frac{d e^{2 (a+b x)^2}}{2 \pi  b^2}","\frac{(a+b x) (b c-a d) \text{Erfi}(a+b x)^2}{b^2}-\frac{2 e^{(a+b x)^2} (b c-a d) \text{Erfi}(a+b x)}{\sqrt{\pi } b^2}+\frac{\sqrt{\frac{2}{\pi }} (b c-a d) \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{b^2}+\frac{d (a+b x)^2 \text{Erfi}(a+b x)^2}{2 b^2}+\frac{d \text{Erfi}(a+b x)^2}{4 b^2}-\frac{d e^{(a+b x)^2} (a+b x) \text{Erfi}(a+b x)}{\sqrt{\pi } b^2}+\frac{d e^{2 (a+b x)^2}}{2 \pi  b^2}",1,"(d*E^(2*(a + b*x)^2))/(2*b^2*Pi) - (2*(b*c - a*d)*E^(a + b*x)^2*Erfi[a + b*x])/(b^2*Sqrt[Pi]) - (d*E^(a + b*x)^2*(a + b*x)*Erfi[a + b*x])/(b^2*Sqrt[Pi]) + (d*Erfi[a + b*x]^2)/(4*b^2) + ((b*c - a*d)*(a + b*x)*Erfi[a + b*x]^2)/b^2 + (d*(a + b*x)^2*Erfi[a + b*x]^2)/(2*b^2) + ((b*c - a*d)*Sqrt[2/Pi]*Erfi[Sqrt[2]*(a + b*x)])/b^2","A",10,9,14,0.6429,1,"{6369, 6354, 6384, 2204, 6366, 6387, 6375, 30, 2209}"
243,1,68,0,0.1345332,"\int \text{Erfi}(a+b x)^2 \, dx","Int[Erfi[a + b*x]^2,x]","\frac{(a+b x) \text{Erfi}(a+b x)^2}{b}-\frac{2 e^{(a+b x)^2} \text{Erfi}(a+b x)}{\sqrt{\pi } b}+\frac{\sqrt{\frac{2}{\pi }} \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{b}","\frac{(a+b x) \text{Erfi}(a+b x)^2}{b}-\frac{2 e^{(a+b x)^2} \text{Erfi}(a+b x)}{\sqrt{\pi } b}+\frac{\sqrt{\frac{2}{\pi }} \text{Erfi}\left(\sqrt{2} (a+b x)\right)}{b}",1,"(-2*E^(a + b*x)^2*Erfi[a + b*x])/(b*Sqrt[Pi]) + ((a + b*x)*Erfi[a + b*x]^2)/b + (Sqrt[2/Pi]*Erfi[Sqrt[2]*(a + b*x)])/b","A",4,3,8,0.3750,1,"{6354, 6384, 2204}"
244,0,0,0,0.0226524,"\int \frac{\text{Erfi}(a+b x)^2}{c+d x} \, dx","Int[Erfi[a + b*x]^2/(c + d*x),x]","\int \frac{\text{Erfi}(a+b x)^2}{c+d x} \, dx","\text{Int}\left(\frac{\text{Erfi}(a+b x)^2}{c+d x},x\right)",0,"Defer[Int][Erfi[a + b*x]^2/(c + d*x), x]","A",0,0,0,0,-1,"{}"
245,0,0,0,0.021419,"\int \frac{\text{Erfi}(a+b x)^2}{(c+d x)^2} \, dx","Int[Erfi[a + b*x]^2/(c + d*x)^2,x]","\int \frac{\text{Erfi}(a+b x)^2}{(c+d x)^2} \, dx","\text{Int}\left(\frac{\text{Erfi}(a+b x)^2}{(c+d x)^2},x\right)",0,"Defer[Int][Erfi[a + b*x]^2/(c + d*x)^2, x]","A",0,0,0,0,-1,"{}"
246,1,102,0,0.2199851,"\int x^2 \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*Erfi[d*(a + b*Log[c*x^n])],x]","\frac{1}{3} x^3 \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{3} x^3 \left(c x^n\right)^{-3/n} e^{-\frac{3 \left(4 a b d^2 n+3\right)}{4 b^2 d^2 n^2}} \text{Erfi}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{3}{n}}{2 b d}\right)","\frac{1}{3} x^3 \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{3} x^3 \left(c x^n\right)^{-3/n} e^{-\frac{3 \left(4 a b d^2 n+3\right)}{4 b^2 d^2 n^2}} \text{Erfi}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{3}{n}}{2 b d}\right)",1,"(x^3*Erfi[d*(a + b*Log[c*x^n])])/3 - (x^3*Erfi[(2*a*b*d^2 + 3/n + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/(3*E^((3*(3 + 4*a*b*d^2*n))/(4*b^2*d^2*n^2))*(c*x^n)^(3/n))","A",7,7,17,0.4118,1,"{6403, 2278, 2274, 15, 2276, 2234, 2204}"
247,1,93,0,0.1662396,"\int x \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*Erfi[d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x^2 \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x^2 \left(c x^n\right)^{-2/n} e^{-\frac{2 a b d^2 n+1}{b^2 d^2 n^2}} \text{Erfi}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{b d}\right)","\frac{1}{2} x^2 \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x^2 \left(c x^n\right)^{-2/n} e^{-\frac{2 a b d^2 n+1}{b^2 d^2 n^2}} \text{Erfi}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{b d}\right)",1,"(x^2*Erfi[d*(a + b*Log[c*x^n])])/2 - (x^2*Erfi[(a*b*d^2 + n^(-1) + b^2*d^2*Log[c*x^n])/(b*d)])/(2*E^((1 + 2*a*b*d^2*n)/(b^2*d^2*n^2))*(c*x^n)^(2/n))","A",7,7,15,0.4667,1,"{6403, 2278, 2274, 15, 2276, 2234, 2204}"
248,1,91,0,0.1328789,"\int \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[Erfi[d*(a + b*Log[c*x^n])],x]","x \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-x \left(c x^n\right)^{-1/n} e^{-\frac{4 a b d^2 n+1}{4 b^2 d^2 n^2}} \text{Erfi}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{2 b d}\right)","x \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-x \left(c x^n\right)^{-1/n} e^{-\frac{4 a b d^2 n+1}{4 b^2 d^2 n^2}} \text{Erfi}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)+\frac{1}{n}}{2 b d}\right)",1,"x*Erfi[d*(a + b*Log[c*x^n])] - (x*Erfi[(2*a*b*d^2 + n^(-1) + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/(E^((1 + 4*a*b*d^2*n)/(4*b^2*d^2*n^2))*(c*x^n)^n^(-1))","A",7,7,13,0.5385,1,"{6399, 2277, 2274, 15, 2276, 2234, 2204}"
249,1,64,0,0.0379644,"\int \frac{\text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[Erfi[d*(a + b*Log[c*x^n])]/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{e^{\left(a d+b d \log \left(c x^n\right)\right)^2}}{\sqrt{\pi } b d n}","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{e^{\left(a d+b d \log \left(c x^n\right)\right)^2}}{\sqrt{\pi } b d n}",1,"-(E^(a*d + b*d*Log[c*x^n])^2/(b*d*n*Sqrt[Pi])) + (Erfi[d*(a + b*Log[c*x^n])]*(a + b*Log[c*x^n]))/(b*n)","A",3,1,17,0.05882,1,"{6351}"
250,1,94,0,0.2170143,"\int \frac{\text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[Erfi[d*(a + b*Log[c*x^n])]/x^2,x]","\frac{\left(c x^n\right)^{\frac{1}{n}} e^{\frac{a}{b n}-\frac{1}{4 b^2 d^2 n^2}} \text{Erfi}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{2 b d}\right)}{x}-\frac{\text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}","\frac{\left(c x^n\right)^{\frac{1}{n}} e^{\frac{a}{b n}-\frac{1}{4 b^2 d^2 n^2}} \text{Erfi}\left(\frac{2 a b d^2+2 b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{2 b d}\right)}{x}-\frac{\text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}",1,"-(Erfi[d*(a + b*Log[c*x^n])]/x) + (E^(-1/(4*b^2*d^2*n^2) + a/(b*n))*(c*x^n)^n^(-1)*Erfi[(2*a*b*d^2 - n^(-1) + 2*b^2*d^2*Log[c*x^n])/(2*b*d)])/x","A",7,7,17,0.4118,1,"{6403, 2278, 2274, 15, 2276, 2234, 2204}"
251,1,95,0,0.205497,"\int \frac{\text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[Erfi[d*(a + b*Log[c*x^n])]/x^3,x]","\frac{\left(c x^n\right)^{2/n} e^{-\frac{1-2 a b d^2 n}{b^2 d^2 n^2}} \text{Erfi}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{b d}\right)}{2 x^2}-\frac{\text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}","\frac{\left(c x^n\right)^{2/n} e^{-\frac{1-2 a b d^2 n}{b^2 d^2 n^2}} \text{Erfi}\left(\frac{a b d^2+b^2 d^2 \log \left(c x^n\right)-\frac{1}{n}}{b d}\right)}{2 x^2}-\frac{\text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}",1,"-Erfi[d*(a + b*Log[c*x^n])]/(2*x^2) + ((c*x^n)^(2/n)*Erfi[(a*b*d^2 - n^(-1) + b^2*d^2*Log[c*x^n])/(b*d)])/(2*E^((1 - 2*a*b*d^2*n)/(b^2*d^2*n^2))*x^2)","A",7,7,17,0.4118,1,"{6403, 2278, 2274, 15, 2276, 2234, 2204}"
252,1,126,0,0.3223509,"\int (e x)^m \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Erfi[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^{m+1} \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{x (e x)^m \left(c x^n\right)^{-\frac{m+1}{n}} \exp \left(-\frac{(m+1) \left(4 a b d^2 n+m+1\right)}{4 b^2 d^2 n^2}\right) \text{Erfi}\left(\frac{2 a b d^2 n+2 b^2 d^2 n \log \left(c x^n\right)+m+1}{2 b d n}\right)}{m+1}","\frac{(e x)^{m+1} \text{Erfi}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{x (e x)^m \left(c x^n\right)^{-\frac{m+1}{n}} \exp \left(-\frac{(m+1) \left(4 a b d^2 n+m+1\right)}{4 b^2 d^2 n^2}\right) \text{Erfi}\left(\frac{2 a b d^2 n+2 b^2 d^2 n \log \left(c x^n\right)+m+1}{2 b d n}\right)}{m+1}",1,"((e*x)^(1 + m)*Erfi[d*(a + b*Log[c*x^n])])/(e*(1 + m)) - (x*(e*x)^m*Erfi[(1 + m + 2*a*b*d^2*n + 2*b^2*d^2*n*Log[c*x^n])/(2*b*d*n)])/(E^(((1 + m)*(1 + m + 4*a*b*d^2*n))/(4*b^2*d^2*n^2))*(1 + m)*(c*x^n)^((1 + m)/n))","A",8,8,19,0.4211,1,"{6403, 2278, 2274, 15, 20, 2276, 2234, 2204}"
253,1,21,0,0.0274825,"\int e^{c+b^2 x^2} \text{Erfi}(b x)^2 \, dx","Int[E^(c + b^2*x^2)*Erfi[b*x]^2,x]","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^3}{6 b}","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^3}{6 b}",1,"(E^c*Sqrt[Pi]*Erfi[b*x]^3)/(6*b)","A",2,2,18,0.1111,1,"{6375, 30}"
254,1,21,0,0.0178662,"\int e^{c+b^2 x^2} \text{Erfi}(b x) \, dx","Int[E^(c + b^2*x^2)*Erfi[b*x],x]","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{4 b}","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{4 b}",1,"(E^c*Sqrt[Pi]*Erfi[b*x]^2)/(4*b)","A",2,2,16,0.1250,1,"{6375, 30}"
255,1,20,0,0.0287121,"\int \frac{e^{c+b^2 x^2}}{\text{Erfi}(b x)} \, dx","Int[E^(c + b^2*x^2)/Erfi[b*x],x]","\frac{\sqrt{\pi } e^c \log (\text{Erfi}(b x))}{2 b}","\frac{\sqrt{\pi } e^c \log (\text{Erfi}(b x))}{2 b}",1,"(E^c*Sqrt[Pi]*Log[Erfi[b*x]])/(2*b)","A",2,2,18,0.1111,1,"{6375, 29}"
256,1,21,0,0.0261904,"\int \frac{e^{c+b^2 x^2}}{\text{Erfi}(b x)^2} \, dx","Int[E^(c + b^2*x^2)/Erfi[b*x]^2,x]","-\frac{\sqrt{\pi } e^c}{2 b \text{Erfi}(b x)}","-\frac{\sqrt{\pi } e^c}{2 b \text{Erfi}(b x)}",1,"-(E^c*Sqrt[Pi])/(2*b*Erfi[b*x])","A",2,2,18,0.1111,1,"{6375, 30}"
257,1,21,0,0.0272756,"\int \frac{e^{c+b^2 x^2}}{\text{Erfi}(b x)^3} \, dx","Int[E^(c + b^2*x^2)/Erfi[b*x]^3,x]","-\frac{\sqrt{\pi } e^c}{4 b \text{Erfi}(b x)^2}","-\frac{\sqrt{\pi } e^c}{4 b \text{Erfi}(b x)^2}",1,"-(E^c*Sqrt[Pi])/(4*b*Erfi[b*x]^2)","A",2,2,18,0.1111,1,"{6375, 30}"
258,1,28,0,0.0318396,"\int e^{c+b^2 x^2} \text{Erfi}(b x)^n \, dx","Int[E^(c + b^2*x^2)*Erfi[b*x]^n,x]","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^{n+1}}{2 b (n+1)}","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^{n+1}}{2 b (n+1)}",1,"(E^c*Sqrt[Pi]*Erfi[b*x]^(1 + n))/(2*b*(1 + n))","A",2,2,18,0.1111,1,"{6375, 30}"
259,1,257,0,0.4089088,"\int e^{c+d x^2} x^5 \text{Erfi}(b x) \, dx","Int[E^(c + d*x^2)*x^5*Erfi[b*x],x]","-\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{d^3 \sqrt{b^2+d}}-\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{2 d^2 \left(b^2+d\right)^{3/2}}+\frac{b x e^{x^2 \left(b^2+d\right)+c}}{\sqrt{\pi } d^2 \left(b^2+d\right)}-\frac{3 b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{8 d \left(b^2+d\right)^{5/2}}-\frac{b x^3 e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}+\frac{3 b x e^{x^2 \left(b^2+d\right)+c}}{4 \sqrt{\pi } d \left(b^2+d\right)^2}-\frac{x^2 \text{Erfi}(b x) e^{c+d x^2}}{d^2}+\frac{\text{Erfi}(b x) e^{c+d x^2}}{d^3}+\frac{x^4 \text{Erfi}(b x) e^{c+d x^2}}{2 d}","-\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{d^3 \sqrt{b^2+d}}-\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{2 d^2 \left(b^2+d\right)^{3/2}}+\frac{b x e^{x^2 \left(b^2+d\right)+c}}{\sqrt{\pi } d^2 \left(b^2+d\right)}-\frac{3 b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{8 d \left(b^2+d\right)^{5/2}}-\frac{b x^3 e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}+\frac{3 b x e^{x^2 \left(b^2+d\right)+c}}{4 \sqrt{\pi } d \left(b^2+d\right)^2}-\frac{x^2 \text{Erfi}(b x) e^{c+d x^2}}{d^2}+\frac{\text{Erfi}(b x) e^{c+d x^2}}{d^3}+\frac{x^4 \text{Erfi}(b x) e^{c+d x^2}}{2 d}",1,"(3*b*E^(c + (b^2 + d)*x^2)*x)/(4*d*(b^2 + d)^2*Sqrt[Pi]) + (b*E^(c + (b^2 + d)*x^2)*x)/(d^2*(b^2 + d)*Sqrt[Pi]) - (b*E^(c + (b^2 + d)*x^2)*x^3)/(2*d*(b^2 + d)*Sqrt[Pi]) + (E^(c + d*x^2)*Erfi[b*x])/d^3 - (E^(c + d*x^2)*x^2*Erfi[b*x])/d^2 + (E^(c + d*x^2)*x^4*Erfi[b*x])/(2*d) - (3*b*E^c*Erfi[Sqrt[b^2 + d]*x])/(8*d*(b^2 + d)^(5/2)) - (b*E^c*Erfi[Sqrt[b^2 + d]*x])/(2*d^2*(b^2 + d)^(3/2)) - (b*E^c*Erfi[Sqrt[b^2 + d]*x])/(d^3*Sqrt[b^2 + d])","A",9,4,17,0.2353,1,"{6387, 6384, 2204, 2212}"
260,1,142,0,0.1517236,"\int e^{c+d x^2} x^3 \text{Erfi}(b x) \, dx","Int[E^(c + d*x^2)*x^3*Erfi[b*x],x]","\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{2 d^2 \sqrt{b^2+d}}+\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{4 d \left(b^2+d\right)^{3/2}}-\frac{b x e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}-\frac{\text{Erfi}(b x) e^{c+d x^2}}{2 d^2}+\frac{x^2 \text{Erfi}(b x) e^{c+d x^2}}{2 d}","\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{2 d^2 \sqrt{b^2+d}}+\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{4 d \left(b^2+d\right)^{3/2}}-\frac{b x e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}-\frac{\text{Erfi}(b x) e^{c+d x^2}}{2 d^2}+\frac{x^2 \text{Erfi}(b x) e^{c+d x^2}}{2 d}",1,"-(b*E^(c + (b^2 + d)*x^2)*x)/(2*d*(b^2 + d)*Sqrt[Pi]) - (E^(c + d*x^2)*Erfi[b*x])/(2*d^2) + (E^(c + d*x^2)*x^2*Erfi[b*x])/(2*d) + (b*E^c*Erfi[Sqrt[b^2 + d]*x])/(4*d*(b^2 + d)^(3/2)) + (b*E^c*Erfi[Sqrt[b^2 + d]*x])/(2*d^2*Sqrt[b^2 + d])","A",5,4,17,0.2353,1,"{6387, 6384, 2204, 2212}"
261,1,53,0,0.0391289,"\int e^{c+d x^2} x \text{Erfi}(b x) \, dx","Int[E^(c + d*x^2)*x*Erfi[b*x],x]","\frac{\text{Erfi}(b x) e^{c+d x^2}}{2 d}-\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{2 d \sqrt{b^2+d}}","\frac{\text{Erfi}(b x) e^{c+d x^2}}{2 d}-\frac{b e^c \text{Erfi}\left(x \sqrt{b^2+d}\right)}{2 d \sqrt{b^2+d}}",1,"(E^(c + d*x^2)*Erfi[b*x])/(2*d) - (b*E^c*Erfi[Sqrt[b^2 + d]*x])/(2*d*Sqrt[b^2 + d])","A",2,2,15,0.1333,1,"{6384, 2204}"
262,0,0,0,0.0386478,"\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x} \, dx","Int[(E^(c + d*x^2)*Erfi[b*x])/x,x]","\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x} \, dx","\text{Int}\left(\frac{\text{Erfi}(b x) e^{c+d x^2}}{x},x\right)",0,"Defer[Int][(E^(c + d*x^2)*Erfi[b*x])/x, x]","A",0,0,0,0,-1,"{}"
263,0,0,0,0.1479603,"\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^3} \, dx","Int[(E^(c + d*x^2)*Erfi[b*x])/x^3,x]","\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^3} \, dx","d \text{Int}\left(\frac{\text{Erfi}(b x) e^{c+d x^2}}{x},x\right)+b e^c \sqrt{b^2+d} \text{Erfi}\left(x \sqrt{b^2+d}\right)-\frac{b e^{x^2 \left(b^2+d\right)+c}}{\sqrt{\pi } x}-\frac{\text{Erfi}(b x) e^{c+d x^2}}{2 x^2}",0,"-((b*E^(c + (b^2 + d)*x^2))/(Sqrt[Pi]*x)) - (E^(c + d*x^2)*Erfi[b*x])/(2*x^2) + b*Sqrt[b^2 + d]*E^c*Erfi[Sqrt[b^2 + d]*x] + d*Defer[Int][(E^(c + d*x^2)*Erfi[b*x])/x, x]","A",0,0,0,0,-1,"{}"
264,0,0,0,0.3201881,"\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^5} \, dx","Int[(E^(c + d*x^2)*Erfi[b*x])/x^5,x]","\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^5} \, dx","\frac{1}{2} d^2 \text{Int}\left(\frac{\text{Erfi}(b x) e^{c+d x^2}}{x},x\right)+\frac{1}{2} b e^c d \sqrt{b^2+d} \text{Erfi}\left(x \sqrt{b^2+d}\right)+\frac{1}{3} b e^c \left(b^2+d\right)^{3/2} \text{Erfi}\left(x \sqrt{b^2+d}\right)-\frac{b d e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } x}-\frac{b \left(b^2+d\right) e^{x^2 \left(b^2+d\right)+c}}{3 \sqrt{\pi } x}-\frac{b e^{x^2 \left(b^2+d\right)+c}}{6 \sqrt{\pi } x^3}-\frac{d \text{Erfi}(b x) e^{c+d x^2}}{4 x^2}-\frac{\text{Erfi}(b x) e^{c+d x^2}}{4 x^4}",0,"-(b*E^(c + (b^2 + d)*x^2))/(6*Sqrt[Pi]*x^3) - (b*d*E^(c + (b^2 + d)*x^2))/(2*Sqrt[Pi]*x) - (b*(b^2 + d)*E^(c + (b^2 + d)*x^2))/(3*Sqrt[Pi]*x) - (E^(c + d*x^2)*Erfi[b*x])/(4*x^4) - (d*E^(c + d*x^2)*Erfi[b*x])/(4*x^2) + (b*d*Sqrt[b^2 + d]*E^c*Erfi[Sqrt[b^2 + d]*x])/2 + (b*(b^2 + d)^(3/2)*E^c*Erfi[Sqrt[b^2 + d]*x])/3 + (d^2*Defer[Int][(E^(c + d*x^2)*Erfi[b*x])/x, x])/2","A",0,0,0,0,-1,"{}"
265,0,0,0,0.2341934,"\int e^{c+d x^2} x^4 \text{Erfi}(b x) \, dx","Int[E^(c + d*x^2)*x^4*Erfi[b*x],x]","\int e^{c+d x^2} x^4 \text{Erfi}(b x) \, dx","\frac{3 \text{Int}\left(\text{Erfi}(b x) e^{c+d x^2},x\right)}{4 d^2}+\frac{3 b e^{x^2 \left(b^2+d\right)+c}}{4 \sqrt{\pi } d^2 \left(b^2+d\right)}-\frac{b x^2 e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}+\frac{b e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)^2}-\frac{3 x \text{Erfi}(b x) e^{c+d x^2}}{4 d^2}+\frac{x^3 \text{Erfi}(b x) e^{c+d x^2}}{2 d}",0,"(b*E^(c + (b^2 + d)*x^2))/(2*d*(b^2 + d)^2*Sqrt[Pi]) + (3*b*E^(c + (b^2 + d)*x^2))/(4*d^2*(b^2 + d)*Sqrt[Pi]) - (b*E^(c + (b^2 + d)*x^2)*x^2)/(2*d*(b^2 + d)*Sqrt[Pi]) - (3*E^(c + d*x^2)*x*Erfi[b*x])/(4*d^2) + (E^(c + d*x^2)*x^3*Erfi[b*x])/(2*d) + (3*Defer[Int][E^(c + d*x^2)*Erfi[b*x], x])/(4*d^2)","A",0,0,0,0,-1,"{}"
266,0,0,0,0.0945238,"\int e^{c+d x^2} x^2 \text{Erfi}(b x) \, dx","Int[E^(c + d*x^2)*x^2*Erfi[b*x],x]","\int e^{c+d x^2} x^2 \text{Erfi}(b x) \, dx","-\frac{\text{Int}\left(\text{Erfi}(b x) e^{c+d x^2},x\right)}{2 d}-\frac{b e^{x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}+\frac{x \text{Erfi}(b x) e^{c+d x^2}}{2 d}",0,"-(b*E^(c + (b^2 + d)*x^2))/(2*d*(b^2 + d)*Sqrt[Pi]) + (E^(c + d*x^2)*x*Erfi[b*x])/(2*d) - Defer[Int][E^(c + d*x^2)*Erfi[b*x], x]/(2*d)","A",0,0,0,0,-1,"{}"
267,0,0,0,0.0148574,"\int e^{c+d x^2} \text{Erfi}(b x) \, dx","Int[E^(c + d*x^2)*Erfi[b*x],x]","\int e^{c+d x^2} \text{Erfi}(b x) \, dx","\text{Int}\left(\text{Erfi}(b x) e^{c+d x^2},x\right)",0,"Defer[Int][E^(c + d*x^2)*Erfi[b*x], x]","A",0,0,0,0,-1,"{}"
268,0,0,0,0.1138214,"\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^2} \, dx","Int[(E^(c + d*x^2)*Erfi[b*x])/x^2,x]","\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^2} \, dx","2 d \text{Int}\left(\text{Erfi}(b x) e^{c+d x^2},x\right)+\frac{b e^c \text{Ei}\left(\left(b^2+d\right) x^2\right)}{\sqrt{\pi }}-\frac{\text{Erfi}(b x) e^{c+d x^2}}{x}",0,"-((E^(c + d*x^2)*Erfi[b*x])/x) + (b*E^c*ExpIntegralEi[(b^2 + d)*x^2])/Sqrt[Pi] + 2*d*Defer[Int][E^(c + d*x^2)*Erfi[b*x], x]","A",0,0,0,0,-1,"{}"
269,0,0,0,0.2726213,"\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^4} \, dx","Int[(E^(c + d*x^2)*Erfi[b*x])/x^4,x]","\int \frac{e^{c+d x^2} \text{Erfi}(b x)}{x^4} \, dx","\frac{4}{3} d^2 \text{Int}\left(\text{Erfi}(b x) e^{c+d x^2},x\right)+\frac{2 b e^c d \text{Ei}\left(\left(b^2+d\right) x^2\right)}{3 \sqrt{\pi }}+\frac{b e^c \left(b^2+d\right) \text{Ei}\left(\left(b^2+d\right) x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{x^2 \left(b^2+d\right)+c}}{3 \sqrt{\pi } x^2}-\frac{2 d \text{Erfi}(b x) e^{c+d x^2}}{3 x}-\frac{\text{Erfi}(b x) e^{c+d x^2}}{3 x^3}",0,"-(b*E^(c + (b^2 + d)*x^2))/(3*Sqrt[Pi]*x^2) - (E^(c + d*x^2)*Erfi[b*x])/(3*x^3) - (2*d*E^(c + d*x^2)*Erfi[b*x])/(3*x) + (2*b*d*E^c*ExpIntegralEi[(b^2 + d)*x^2])/(3*Sqrt[Pi]) + (b*(b^2 + d)*E^c*ExpIntegralEi[(b^2 + d)*x^2])/(3*Sqrt[Pi]) + (4*d^2*Defer[Int][E^(c + d*x^2)*Erfi[b*x], x])/3","A",0,0,0,0,-1,"{}"
270,1,107,0,0.1151046,"\int e^{-b^2 x^2} x^5 \text{Erfi}(b x) \, dx","Int[(x^5*Erfi[b*x])/E^(b^2*x^2),x]","-\frac{x^4 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{x^2 e^{-b^2 x^2} \text{Erfi}(b x)}{b^4}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{b^6}+\frac{2 x^3}{3 \sqrt{\pi } b^3}+\frac{2 x}{\sqrt{\pi } b^5}+\frac{x^5}{5 \sqrt{\pi } b}","-\frac{x^4 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{x^2 e^{-b^2 x^2} \text{Erfi}(b x)}{b^4}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{b^6}+\frac{2 x^3}{3 \sqrt{\pi } b^3}+\frac{2 x}{\sqrt{\pi } b^5}+\frac{x^5}{5 \sqrt{\pi } b}",1,"(2*x)/(b^5*Sqrt[Pi]) + (2*x^3)/(3*b^3*Sqrt[Pi]) + x^5/(5*b*Sqrt[Pi]) - Erfi[b*x]/(b^6*E^(b^2*x^2)) - (x^2*Erfi[b*x])/(b^4*E^(b^2*x^2)) - (x^4*Erfi[b*x])/(2*b^2*E^(b^2*x^2))","A",6,4,18,0.2222,1,"{6387, 6384, 8, 30}"
271,1,71,0,0.0685207,"\int e^{-b^2 x^2} x^3 \text{Erfi}(b x) \, dx","Int[(x^3*Erfi[b*x])/E^(b^2*x^2),x]","-\frac{x^2 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^4}+\frac{x}{\sqrt{\pi } b^3}+\frac{x^3}{3 \sqrt{\pi } b}","-\frac{x^2 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^4}+\frac{x}{\sqrt{\pi } b^3}+\frac{x^3}{3 \sqrt{\pi } b}",1,"x/(b^3*Sqrt[Pi]) + x^3/(3*b*Sqrt[Pi]) - Erfi[b*x]/(2*b^4*E^(b^2*x^2)) - (x^2*Erfi[b*x])/(2*b^2*E^(b^2*x^2))","A",4,4,18,0.2222,1,"{6387, 6384, 8, 30}"
272,1,32,0,0.027782,"\int e^{-b^2 x^2} x \text{Erfi}(b x) \, dx","Int[(x*Erfi[b*x])/E^(b^2*x^2),x]","\frac{x}{\sqrt{\pi } b}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}","\frac{x}{\sqrt{\pi } b}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}",1,"x/(b*Sqrt[Pi]) - Erfi[b*x]/(2*b^2*E^(b^2*x^2))","A",2,2,16,0.1250,1,"{6384, 8}"
273,1,30,0,0.0364644,"\int \frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x} \, dx","Int[Erfi[b*x]/(E^(b^2*x^2)*x),x]","\frac{2 b x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}","\frac{2 b x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}",1,"(2*b*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, -(b^2*x^2)])/Sqrt[Pi]","A",1,1,18,0.05556,1,"{6390}"
274,1,65,0,0.0748705,"\int \frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x^3} \, dx","Int[Erfi[b*x]/(E^(b^2*x^2)*x^3),x]","-\frac{2 b^3 x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 x^2}-\frac{b}{\sqrt{\pi } x}","-\frac{2 b^3 x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 x^2}-\frac{b}{\sqrt{\pi } x}",1,"-(b/(Sqrt[Pi]*x)) - Erfi[b*x]/(2*E^(b^2*x^2)*x^2) - (2*b^3*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, -(b^2*x^2)])/Sqrt[Pi]","A",3,3,18,0.1667,1,"{6393, 6390, 30}"
275,1,105,0,0.1130677,"\int \frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x^5} \, dx","Int[Erfi[b*x]/(E^(b^2*x^2)*x^5),x]","\frac{b^5 x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}+\frac{b^2 e^{-b^2 x^2} \text{Erfi}(b x)}{4 x^2}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{4 x^4}+\frac{b^3}{2 \sqrt{\pi } x}-\frac{b}{6 \sqrt{\pi } x^3}","\frac{b^5 x \, _2F_2\left(\frac{1}{2},1;\frac{3}{2},\frac{3}{2};-b^2 x^2\right)}{\sqrt{\pi }}+\frac{b^2 e^{-b^2 x^2} \text{Erfi}(b x)}{4 x^2}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{4 x^4}+\frac{b^3}{2 \sqrt{\pi } x}-\frac{b}{6 \sqrt{\pi } x^3}",1,"-b/(6*Sqrt[Pi]*x^3) + b^3/(2*Sqrt[Pi]*x) - Erfi[b*x]/(4*E^(b^2*x^2)*x^4) + (b^2*Erfi[b*x])/(4*E^(b^2*x^2)*x^2) + (b^5*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, -(b^2*x^2)])/Sqrt[Pi]","A",5,3,18,0.1667,1,"{6393, 6390, 30}"
276,1,148,0,0.1416046,"\int e^{-b^2 x^2} x^6 \text{Erfi}(b x) \, dx","Int[(x^6*Erfi[b*x])/E^(b^2*x^2),x]","\frac{15 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{8 \sqrt{\pi } b^5}-\frac{x^5 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{5 x^3 e^{-b^2 x^2} \text{Erfi}(b x)}{4 b^4}-\frac{15 x e^{-b^2 x^2} \text{Erfi}(b x)}{8 b^6}+\frac{5 x^4}{8 \sqrt{\pi } b^3}+\frac{15 x^2}{8 \sqrt{\pi } b^5}+\frac{x^6}{6 \sqrt{\pi } b}","\frac{15 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{8 \sqrt{\pi } b^5}-\frac{x^5 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{5 x^3 e^{-b^2 x^2} \text{Erfi}(b x)}{4 b^4}-\frac{15 x e^{-b^2 x^2} \text{Erfi}(b x)}{8 b^6}+\frac{5 x^4}{8 \sqrt{\pi } b^3}+\frac{15 x^2}{8 \sqrt{\pi } b^5}+\frac{x^6}{6 \sqrt{\pi } b}",1,"(15*x^2)/(8*b^5*Sqrt[Pi]) + (5*x^4)/(8*b^3*Sqrt[Pi]) + x^6/(6*b*Sqrt[Pi]) - (15*x*Erfi[b*x])/(8*b^6*E^(b^2*x^2)) - (5*x^3*Erfi[b*x])/(4*b^4*E^(b^2*x^2)) - (x^5*Erfi[b*x])/(2*b^2*E^(b^2*x^2)) + (15*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(8*b^5*Sqrt[Pi])","A",7,3,18,0.1667,1,"{6387, 6378, 30}"
277,1,109,0,0.0987593,"\int e^{-b^2 x^2} x^4 \text{Erfi}(b x) \, dx","Int[(x^4*Erfi[b*x])/E^(b^2*x^2),x]","\frac{3 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{4 \sqrt{\pi } b^3}-\frac{x^3 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{3 x e^{-b^2 x^2} \text{Erfi}(b x)}{4 b^4}+\frac{3 x^2}{4 \sqrt{\pi } b^3}+\frac{x^4}{4 \sqrt{\pi } b}","\frac{3 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{4 \sqrt{\pi } b^3}-\frac{x^3 e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}-\frac{3 x e^{-b^2 x^2} \text{Erfi}(b x)}{4 b^4}+\frac{3 x^2}{4 \sqrt{\pi } b^3}+\frac{x^4}{4 \sqrt{\pi } b}",1,"(3*x^2)/(4*b^3*Sqrt[Pi]) + x^4/(4*b*Sqrt[Pi]) - (3*x*Erfi[b*x])/(4*b^4*E^(b^2*x^2)) - (x^3*Erfi[b*x])/(2*b^2*E^(b^2*x^2)) + (3*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(4*b^3*Sqrt[Pi])","A",5,3,18,0.1667,1,"{6387, 6378, 30}"
278,1,70,0,0.0563927,"\int e^{-b^2 x^2} x^2 \text{Erfi}(b x) \, dx","Int[(x^2*Erfi[b*x])/E^(b^2*x^2),x]","\frac{x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi } b}-\frac{x e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}+\frac{x^2}{2 \sqrt{\pi } b}","\frac{x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi } b}-\frac{x e^{-b^2 x^2} \text{Erfi}(b x)}{2 b^2}+\frac{x^2}{2 \sqrt{\pi } b}",1,"x^2/(2*b*Sqrt[Pi]) - (x*Erfi[b*x])/(2*b^2*E^(b^2*x^2)) + (x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(2*b*Sqrt[Pi])","A",3,3,18,0.1667,1,"{6387, 6378, 30}"
279,1,27,0,0.0160768,"\int e^{-b^2 x^2} \text{Erfi}(b x) \, dx","Int[Erfi[b*x]/E^(b^2*x^2),x]","\frac{b x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{\sqrt{\pi }}","\frac{b x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{\sqrt{\pi }}",1,"(b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/Sqrt[Pi]","A",1,1,15,0.06667,1,"{6378}"
280,1,60,0,0.0563698,"\int \frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x^2} \, dx","Int[Erfi[b*x]/(E^(b^2*x^2)*x^2),x]","-\frac{2 b^3 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x}+\frac{2 b \log (x)}{\sqrt{\pi }}","-\frac{2 b^3 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{\sqrt{\pi }}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x}+\frac{2 b \log (x)}{\sqrt{\pi }}",1,"-(Erfi[b*x]/(E^(b^2*x^2)*x)) - (2*b^3*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/Sqrt[Pi] + (2*b*Log[x])/Sqrt[Pi]","A",3,3,18,0.1667,1,"{6393, 6378, 29}"
281,1,105,0,0.0976992,"\int \frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x^4} \, dx","Int[Erfi[b*x]/(E^(b^2*x^2)*x^4),x]","\frac{4 b^5 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{3 \sqrt{\pi }}+\frac{2 b^2 e^{-b^2 x^2} \text{Erfi}(b x)}{3 x}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{3 x^3}-\frac{4 b^3 \log (x)}{3 \sqrt{\pi }}-\frac{b}{3 \sqrt{\pi } x^2}","\frac{4 b^5 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{3 \sqrt{\pi }}+\frac{2 b^2 e^{-b^2 x^2} \text{Erfi}(b x)}{3 x}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{3 x^3}-\frac{4 b^3 \log (x)}{3 \sqrt{\pi }}-\frac{b}{3 \sqrt{\pi } x^2}",1,"-b/(3*Sqrt[Pi]*x^2) - Erfi[b*x]/(3*E^(b^2*x^2)*x^3) + (2*b^2*Erfi[b*x])/(3*E^(b^2*x^2)*x) + (4*b^5*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(3*Sqrt[Pi]) - (4*b^3*Log[x])/(3*Sqrt[Pi])","A",5,4,18,0.2222,1,"{6393, 6378, 29, 30}"
282,1,144,0,0.1367324,"\int \frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x^6} \, dx","Int[Erfi[b*x]/(E^(b^2*x^2)*x^6),x]","-\frac{8 b^7 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{15 \sqrt{\pi }}-\frac{4 b^4 e^{-b^2 x^2} \text{Erfi}(b x)}{15 x}+\frac{2 b^2 e^{-b^2 x^2} \text{Erfi}(b x)}{15 x^3}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{5 x^5}+\frac{2 b^3}{15 \sqrt{\pi } x^2}+\frac{8 b^5 \log (x)}{15 \sqrt{\pi }}-\frac{b}{10 \sqrt{\pi } x^4}","-\frac{8 b^7 x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{15 \sqrt{\pi }}-\frac{4 b^4 e^{-b^2 x^2} \text{Erfi}(b x)}{15 x}+\frac{2 b^2 e^{-b^2 x^2} \text{Erfi}(b x)}{15 x^3}-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{5 x^5}+\frac{2 b^3}{15 \sqrt{\pi } x^2}+\frac{8 b^5 \log (x)}{15 \sqrt{\pi }}-\frac{b}{10 \sqrt{\pi } x^4}",1,"-b/(10*Sqrt[Pi]*x^4) + (2*b^3)/(15*Sqrt[Pi]*x^2) - Erfi[b*x]/(5*E^(b^2*x^2)*x^5) + (2*b^2*Erfi[b*x])/(15*E^(b^2*x^2)*x^3) - (4*b^4*Erfi[b*x])/(15*E^(b^2*x^2)*x) - (8*b^7*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(15*Sqrt[Pi]) + (8*b^5*Log[x])/(15*Sqrt[Pi])","A",7,4,18,0.2222,1,"{6393, 6378, 29, 30}"
283,1,144,0,0.2288731,"\int e^{c+b^2 x^2} x^5 \text{Erfi}(b x) \, dx","Int[E^(c + b^2*x^2)*x^5*Erfi[b*x],x]","\frac{x^4 e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{x^2 e^{b^2 x^2+c} \text{Erfi}(b x)}{b^4}+\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{b^6}-\frac{43 e^c \text{Erfi}\left(\sqrt{2} b x\right)}{32 \sqrt{2} b^6}-\frac{x^3 e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}+\frac{11 x e^{2 b^2 x^2+c}}{16 \sqrt{\pi } b^5}","\frac{x^4 e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{x^2 e^{b^2 x^2+c} \text{Erfi}(b x)}{b^4}+\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{b^6}-\frac{43 e^c \text{Erfi}\left(\sqrt{2} b x\right)}{32 \sqrt{2} b^6}-\frac{x^3 e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}+\frac{11 x e^{2 b^2 x^2+c}}{16 \sqrt{\pi } b^5}",1,"(11*E^(c + 2*b^2*x^2)*x)/(16*b^5*Sqrt[Pi]) - (E^(c + 2*b^2*x^2)*x^3)/(4*b^3*Sqrt[Pi]) + (E^(c + b^2*x^2)*Erfi[b*x])/b^6 - (E^(c + b^2*x^2)*x^2*Erfi[b*x])/b^4 + (E^(c + b^2*x^2)*x^4*Erfi[b*x])/(2*b^2) - (43*E^c*Erfi[Sqrt[2]*b*x])/(32*Sqrt[2]*b^6)","A",9,4,19,0.2105,1,"{6387, 6384, 2204, 2212}"
284,1,97,0,0.1145762,"\int e^{c+b^2 x^2} x^3 \text{Erfi}(b x) \, dx","Int[E^(c + b^2*x^2)*x^3*Erfi[b*x],x]","\frac{x^2 e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^4}+\frac{5 e^c \text{Erfi}\left(\sqrt{2} b x\right)}{8 \sqrt{2} b^4}-\frac{x e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}","\frac{x^2 e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^4}+\frac{5 e^c \text{Erfi}\left(\sqrt{2} b x\right)}{8 \sqrt{2} b^4}-\frac{x e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}",1,"-(E^(c + 2*b^2*x^2)*x)/(4*b^3*Sqrt[Pi]) - (E^(c + b^2*x^2)*Erfi[b*x])/(2*b^4) + (E^(c + b^2*x^2)*x^2*Erfi[b*x])/(2*b^2) + (5*E^c*Erfi[Sqrt[2]*b*x])/(8*Sqrt[2]*b^4)","A",5,4,19,0.2105,1,"{6387, 6384, 2204, 2212}"
285,1,47,0,0.0380216,"\int e^{c+b^2 x^2} x \text{Erfi}(b x) \, dx","Int[E^(c + b^2*x^2)*x*Erfi[b*x],x]","\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{e^c \text{Erfi}\left(\sqrt{2} b x\right)}{2 \sqrt{2} b^2}","\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{e^c \text{Erfi}\left(\sqrt{2} b x\right)}{2 \sqrt{2} b^2}",1,"(E^(c + b^2*x^2)*Erfi[b*x])/(2*b^2) - (E^c*Erfi[Sqrt[2]*b*x])/(2*Sqrt[2]*b^2)","A",2,2,17,0.1176,1,"{6384, 2204}"
286,0,0,0,0.039339,"\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x} \, dx","Int[(E^(c + b^2*x^2)*Erfi[b*x])/x,x]","\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x} \, dx","\text{Int}\left(\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{x},x\right)",0,"Defer[Int][(E^(c + b^2*x^2)*Erfi[b*x])/x, x]","A",0,0,0,0,-1,"{}"
287,0,0,0,0.1110641,"\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x^3} \, dx","Int[(E^(c + b^2*x^2)*Erfi[b*x])/x^3,x]","\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x^3} \, dx","b^2 \text{Int}\left(\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{x},x\right)-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{2 x^2}+\sqrt{2} b^2 e^c \text{Erfi}\left(\sqrt{2} b x\right)-\frac{b e^{2 b^2 x^2+c}}{\sqrt{\pi } x}",0,"-((b*E^(c + 2*b^2*x^2))/(Sqrt[Pi]*x)) - (E^(c + b^2*x^2)*Erfi[b*x])/(2*x^2) + Sqrt[2]*b^2*E^c*Erfi[Sqrt[2]*b*x] + b^2*Defer[Int][(E^(c + b^2*x^2)*Erfi[b*x])/x, x]","A",0,0,0,0,-1,"{}"
288,0,0,0,0.2185938,"\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x^5} \, dx","Int[(E^(c + b^2*x^2)*Erfi[b*x])/x^5,x]","\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x^5} \, dx","\frac{1}{2} b^4 \text{Int}\left(\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{x},x\right)-\frac{b^2 e^{b^2 x^2+c} \text{Erfi}(b x)}{4 x^2}-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{4 x^4}+\frac{2}{3} \sqrt{2} b^4 e^c \text{Erfi}\left(\sqrt{2} b x\right)+\frac{b^4 e^c \text{Erfi}\left(\sqrt{2} b x\right)}{\sqrt{2}}-\frac{7 b^3 e^{2 b^2 x^2+c}}{6 \sqrt{\pi } x}-\frac{b e^{2 b^2 x^2+c}}{6 \sqrt{\pi } x^3}",0,"-(b*E^(c + 2*b^2*x^2))/(6*Sqrt[Pi]*x^3) - (7*b^3*E^(c + 2*b^2*x^2))/(6*Sqrt[Pi]*x) - (E^(c + b^2*x^2)*Erfi[b*x])/(4*x^4) - (b^2*E^(c + b^2*x^2)*Erfi[b*x])/(4*x^2) + (b^4*E^c*Erfi[Sqrt[2]*b*x])/Sqrt[2] + (2*Sqrt[2]*b^4*E^c*Erfi[Sqrt[2]*b*x])/3 + (b^4*Defer[Int][(E^(c + b^2*x^2)*Erfi[b*x])/x, x])/2","A",0,0,0,0,-1,"{}"
289,1,121,0,0.1627728,"\int e^{c+b^2 x^2} x^4 \text{Erfi}(b x) \, dx","Int[E^(c + b^2*x^2)*x^4*Erfi[b*x],x]","\frac{x^3 e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{3 x e^{b^2 x^2+c} \text{Erfi}(b x)}{4 b^4}+\frac{3 \sqrt{\pi } e^c \text{Erfi}(b x)^2}{16 b^5}-\frac{x^2 e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}+\frac{e^{2 b^2 x^2+c}}{2 \sqrt{\pi } b^5}","\frac{x^3 e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{3 x e^{b^2 x^2+c} \text{Erfi}(b x)}{4 b^4}+\frac{3 \sqrt{\pi } e^c \text{Erfi}(b x)^2}{16 b^5}-\frac{x^2 e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}+\frac{e^{2 b^2 x^2+c}}{2 \sqrt{\pi } b^5}",1,"E^(c + 2*b^2*x^2)/(2*b^5*Sqrt[Pi]) - (E^(c + 2*b^2*x^2)*x^2)/(4*b^3*Sqrt[Pi]) - (3*E^(c + b^2*x^2)*x*Erfi[b*x])/(4*b^4) + (E^(c + b^2*x^2)*x^3*Erfi[b*x])/(2*b^2) + (3*E^c*Sqrt[Pi]*Erfi[b*x]^2)/(16*b^5)","A",7,5,19,0.2632,1,"{6387, 6375, 30, 2209, 2212}"
290,1,69,0,0.0757135,"\int e^{c+b^2 x^2} x^2 \text{Erfi}(b x) \, dx","Int[E^(c + b^2*x^2)*x^2*Erfi[b*x],x]","\frac{x e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{8 b^3}-\frac{e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}","\frac{x e^{b^2 x^2+c} \text{Erfi}(b x)}{2 b^2}-\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{8 b^3}-\frac{e^{2 b^2 x^2+c}}{4 \sqrt{\pi } b^3}",1,"-E^(c + 2*b^2*x^2)/(4*b^3*Sqrt[Pi]) + (E^(c + b^2*x^2)*x*Erfi[b*x])/(2*b^2) - (E^c*Sqrt[Pi]*Erfi[b*x]^2)/(8*b^3)","A",4,4,19,0.2105,1,"{6387, 6375, 30, 2209}"
291,1,21,0,0.01751,"\int e^{c+b^2 x^2} \text{Erfi}(b x) \, dx","Int[E^(c + b^2*x^2)*Erfi[b*x],x]","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{4 b}","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{4 b}",1,"(E^c*Sqrt[Pi]*Erfi[b*x]^2)/(4*b)","A",2,2,16,0.1250,1,"{6375, 30}"
292,1,59,0,0.0816846,"\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x^2} \, dx","Int[(E^(c + b^2*x^2)*Erfi[b*x])/x^2,x]","-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{x}+\frac{b e^c \text{Ei}\left(2 b^2 x^2\right)}{\sqrt{\pi }}+\frac{1}{2} \sqrt{\pi } b e^c \text{Erfi}(b x)^2","-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{x}+\frac{b e^c \text{Ei}\left(2 b^2 x^2\right)}{\sqrt{\pi }}+\frac{1}{2} \sqrt{\pi } b e^c \text{Erfi}(b x)^2",1,"-((E^(c + b^2*x^2)*Erfi[b*x])/x) + (b*E^c*Sqrt[Pi]*Erfi[b*x]^2)/2 + (b*E^c*ExpIntegralEi[2*b^2*x^2])/Sqrt[Pi]","A",4,4,19,0.2105,1,"{6393, 6375, 30, 2210}"
293,1,118,0,0.1727636,"\int \frac{e^{c+b^2 x^2} \text{Erfi}(b x)}{x^4} \, dx","Int[(E^(c + b^2*x^2)*Erfi[b*x])/x^4,x]","-\frac{2 b^2 e^{b^2 x^2+c} \text{Erfi}(b x)}{3 x}-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{3 x^3}+\frac{1}{3} \sqrt{\pi } b^3 e^c \text{Erfi}(b x)^2+\frac{4 b^3 e^c \text{Ei}\left(2 b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{2 b^2 x^2+c}}{3 \sqrt{\pi } x^2}","-\frac{2 b^2 e^{b^2 x^2+c} \text{Erfi}(b x)}{3 x}-\frac{e^{b^2 x^2+c} \text{Erfi}(b x)}{3 x^3}+\frac{1}{3} \sqrt{\pi } b^3 e^c \text{Erfi}(b x)^2+\frac{4 b^3 e^c \text{Ei}\left(2 b^2 x^2\right)}{3 \sqrt{\pi }}-\frac{b e^{2 b^2 x^2+c}}{3 \sqrt{\pi } x^2}",1,"-(b*E^(c + 2*b^2*x^2))/(3*Sqrt[Pi]*x^2) - (E^(c + b^2*x^2)*Erfi[b*x])/(3*x^3) - (2*b^2*E^(c + b^2*x^2)*Erfi[b*x])/(3*x) + (b^3*E^c*Sqrt[Pi]*Erfi[b*x]^2)/3 + (4*b^3*E^c*ExpIntegralEi[2*b^2*x^2])/(3*Sqrt[Pi])","A",7,5,19,0.2632,1,"{6393, 6375, 30, 2210, 2214}"
294,1,304,0,0.4682788,"\int e^{c+d x^2} x^3 \text{Erfi}(a+b x) \, dx","Int[E^(c + d*x^2)*x^3*Erfi[a + b*x],x]","\frac{b e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d^2 \sqrt{b^2+d}}-\frac{a^2 b^3 e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d \left(b^2+d\right)^{5/2}}+\frac{b e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{4 d \left(b^2+d\right)^{3/2}}+\frac{a b^2 e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)^2}-\frac{b x e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}-\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{2 d^2}+\frac{x^2 e^{c+d x^2} \text{Erfi}(a+b x)}{2 d}","\frac{b e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d^2 \sqrt{b^2+d}}-\frac{a^2 b^3 e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d \left(b^2+d\right)^{5/2}}+\frac{b e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{4 d \left(b^2+d\right)^{3/2}}+\frac{a b^2 e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)^2}-\frac{b x e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}-\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{2 d^2}+\frac{x^2 e^{c+d x^2} \text{Erfi}(a+b x)}{2 d}",1,"(a*b^2*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(2*d*(b^2 + d)^2*Sqrt[Pi]) - (b*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)*x)/(2*d*(b^2 + d)*Sqrt[Pi]) - (E^(c + d*x^2)*Erfi[a + b*x])/(2*d^2) + (E^(c + d*x^2)*x^2*Erfi[a + b*x])/(2*d) - (a^2*b^3*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(2*d*(b^2 + d)^(5/2)) + (b*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(4*d*(b^2 + d)^(3/2)) + (b*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(2*d^2*Sqrt[b^2 + d])","A",10,6,19,0.3158,1,"{6387, 6384, 2234, 2204, 2241, 2240}"
295,1,78,0,0.0532274,"\int e^{c+d x^2} x \text{Erfi}(a+b x) \, dx","Int[E^(c + d*x^2)*x*Erfi[a + b*x],x]","\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{2 d}-\frac{b e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d \sqrt{b^2+d}}","\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{2 d}-\frac{b e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d \sqrt{b^2+d}}",1,"(E^(c + d*x^2)*Erfi[a + b*x])/(2*d) - (b*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(2*d*Sqrt[b^2 + d])","A",3,3,17,0.1765,1,"{6384, 2234, 2204}"
296,0,0,0,0.037334,"\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x} \, dx","Int[(E^(c + d*x^2)*Erfi[a + b*x])/x,x]","\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x} \, dx","\text{Int}\left(\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x},x\right)",0,"Defer[Int][(E^(c + d*x^2)*Erfi[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
297,0,0,0,0.386632,"\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x^3} \, dx","Int[(E^(c + d*x^2)*Erfi[a + b*x])/x^3,x]","\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x^3} \, dx","\frac{2 a b^2 \text{Int}\left(\frac{e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{x},x\right)}{\sqrt{\pi }}+d \text{Int}\left(\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x},x\right)+b \sqrt{b^2+d} e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)-\frac{b e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{\sqrt{\pi } x}-\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{2 x^2}",0,"-((b*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(Sqrt[Pi]*x)) - (E^(c + d*x^2)*Erfi[a + b*x])/(2*x^2) + b*Sqrt[b^2 + d]*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]] + (2*a*b^2*Defer[Int][E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)/x, x])/Sqrt[Pi] + d*Defer[Int][(E^(c + d*x^2)*Erfi[a + b*x])/x, x]","A",0,0,0,0,-1,"{}"
298,0,0,0,0.8924507,"\int e^{c+d x^2} x^4 \text{Erfi}(a+b x) \, dx","Int[E^(c + d*x^2)*x^4*Erfi[a + b*x],x]","\int e^{c+d x^2} x^4 \text{Erfi}(a+b x) \, dx","\frac{3 \text{Int}\left(e^{c+d x^2} \text{Erfi}(a+b x),x\right)}{4 d^2}-\frac{3 a b^2 e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{4 d^2 \left(b^2+d\right)^{3/2}}+\frac{3 b e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{4 \sqrt{\pi } d^2 \left(b^2+d\right)}+\frac{a^3 b^4 e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d \left(b^2+d\right)^{7/2}}-\frac{3 a b^2 e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{4 d \left(b^2+d\right)^{5/2}}-\frac{a^2 b^3 e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)^3}+\frac{a b^2 x e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)^2}-\frac{b x^2 e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}+\frac{b e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)^2}-\frac{3 x e^{c+d x^2} \text{Erfi}(a+b x)}{4 d^2}+\frac{x^3 e^{c+d x^2} \text{Erfi}(a+b x)}{2 d}",0,"-(a^2*b^3*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(2*d*(b^2 + d)^3*Sqrt[Pi]) + (b*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(2*d*(b^2 + d)^2*Sqrt[Pi]) + (3*b*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(4*d^2*(b^2 + d)*Sqrt[Pi]) + (a*b^2*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)*x)/(2*d*(b^2 + d)^2*Sqrt[Pi]) - (b*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)*x^2)/(2*d*(b^2 + d)*Sqrt[Pi]) - (3*E^(c + d*x^2)*x*Erfi[a + b*x])/(4*d^2) + (E^(c + d*x^2)*x^3*Erfi[a + b*x])/(2*d) + (a^3*b^4*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(2*d*(b^2 + d)^(7/2)) - (3*a*b^2*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(4*d*(b^2 + d)^(5/2)) - (3*a*b^2*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(4*d^2*(b^2 + d)^(3/2)) + (3*Defer[Int][E^(c + d*x^2)*Erfi[a + b*x], x])/(4*d^2)","A",0,0,0,0,-1,"{}"
299,0,0,0,0.1743118,"\int e^{c+d x^2} x^2 \text{Erfi}(a+b x) \, dx","Int[E^(c + d*x^2)*x^2*Erfi[a + b*x],x]","\int e^{c+d x^2} x^2 \text{Erfi}(a+b x) \, dx","-\frac{\text{Int}\left(e^{c+d x^2} \text{Erfi}(a+b x),x\right)}{2 d}+\frac{a b^2 e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)}{2 d \left(b^2+d\right)^{3/2}}-\frac{b e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{2 \sqrt{\pi } d \left(b^2+d\right)}+\frac{x e^{c+d x^2} \text{Erfi}(a+b x)}{2 d}",0,"-(b*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(2*d*(b^2 + d)*Sqrt[Pi]) + (E^(c + d*x^2)*x*Erfi[a + b*x])/(2*d) + (a*b^2*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/(2*d*(b^2 + d)^(3/2)) - Defer[Int][E^(c + d*x^2)*Erfi[a + b*x], x]/(2*d)","A",0,0,0,0,-1,"{}"
300,0,0,0,0.0142708,"\int e^{c+d x^2} \text{Erfi}(a+b x) \, dx","Int[E^(c + d*x^2)*Erfi[a + b*x],x]","\int e^{c+d x^2} \text{Erfi}(a+b x) \, dx","\text{Int}\left(e^{c+d x^2} \text{Erfi}(a+b x),x\right)",0,"Defer[Int][E^(c + d*x^2)*Erfi[a + b*x], x]","A",0,0,0,0,-1,"{}"
301,0,0,0,0.2031341,"\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x^2} \, dx","Int[(E^(c + d*x^2)*Erfi[a + b*x])/x^2,x]","\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x^2} \, dx","\frac{2 b \text{Int}\left(\frac{e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{x},x\right)}{\sqrt{\pi }}+2 d \text{Int}\left(e^{c+d x^2} \text{Erfi}(a+b x),x\right)-\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x}",0,"-((E^(c + d*x^2)*Erfi[a + b*x])/x) + (2*b*Defer[Int][E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)/x, x])/Sqrt[Pi] + 2*d*Defer[Int][E^(c + d*x^2)*Erfi[a + b*x], x]","A",0,0,0,0,-1,"{}"
302,0,0,0,0.8538589,"\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x^4} \, dx","Int[(E^(c + d*x^2)*Erfi[a + b*x])/x^4,x]","\int \frac{e^{c+d x^2} \text{Erfi}(a+b x)}{x^4} \, dx","\frac{4 a^2 b^3 \text{Int}\left(\frac{e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{x},x\right)}{3 \sqrt{\pi }}+\frac{4 b d \text{Int}\left(\frac{e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{x},x\right)}{3 \sqrt{\pi }}+\frac{2 b \left(b^2+d\right) \text{Int}\left(\frac{e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{x},x\right)}{3 \sqrt{\pi }}+\frac{4}{3} d^2 \text{Int}\left(e^{c+d x^2} \text{Erfi}(a+b x),x\right)+\frac{2}{3} a b^2 \sqrt{b^2+d} e^{\frac{a^2 d}{b^2+d}+c} \text{Erfi}\left(\frac{a b+x \left(b^2+d\right)}{\sqrt{b^2+d}}\right)-\frac{2 a b^2 e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{3 \sqrt{\pi } x}-\frac{b e^{a^2+2 a b x+x^2 \left(b^2+d\right)+c}}{3 \sqrt{\pi } x^2}-\frac{2 d e^{c+d x^2} \text{Erfi}(a+b x)}{3 x}-\frac{e^{c+d x^2} \text{Erfi}(a+b x)}{3 x^3}",0,"-(b*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(3*Sqrt[Pi]*x^2) - (2*a*b^2*E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2))/(3*Sqrt[Pi]*x) - (E^(c + d*x^2)*Erfi[a + b*x])/(3*x^3) - (2*d*E^(c + d*x^2)*Erfi[a + b*x])/(3*x) + (2*a*b^2*Sqrt[b^2 + d]*E^(c + (a^2*d)/(b^2 + d))*Erfi[(a*b + (b^2 + d)*x)/Sqrt[b^2 + d]])/3 + (4*a^2*b^3*Defer[Int][E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) + (4*b*d*Defer[Int][E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) + (2*b*(b^2 + d)*Defer[Int][E^(a^2 + c + 2*a*b*x + (b^2 + d)*x^2)/x, x])/(3*Sqrt[Pi]) + (4*d^2*Defer[Int][E^(c + d*x^2)*Erfi[a + b*x], x])/3","A",0,0,0,0,-1,"{}"
303,1,33,0,0.1191304,"\int \left(\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{x^3}+\frac{b^2 e^{-b^2 x^2} \text{Erfi}(b x)}{x}\right) \, dx","Int[Erfi[b*x]/(E^(b^2*x^2)*x^3) + (b^2*Erfi[b*x])/(E^(b^2*x^2)*x),x]","-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 x^2}-\frac{b}{\sqrt{\pi } x}","-\frac{e^{-b^2 x^2} \text{Erfi}(b x)}{2 x^2}-\frac{b}{\sqrt{\pi } x}",1,"-(b/(Sqrt[Pi]*x)) - Erfi[b*x]/(2*E^(b^2*x^2)*x^2)","A",5,3,40,0.07500,1,"{6393, 6390, 30}"
304,1,67,0,0.0557588,"\int \text{Erfi}(b x) \sin \left(c+i b^2 x^2\right) \, dx","Int[Erfi[b*x]*Sin[c + I*b^2*x^2],x]","\frac{i \sqrt{\pi } e^{-i c} \text{Erfi}(b x)^2}{8 b}-\frac{i b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}","\frac{i \sqrt{\pi } e^{-i c} \text{Erfi}(b x)^2}{8 b}-\frac{i b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}",1,"((I/8)*Sqrt[Pi]*Erfi[b*x]^2)/(b*E^(I*c)) - ((I/2)*b*E^(I*c)*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/Sqrt[Pi]","A",4,4,18,0.2222,1,"{6406, 6375, 30, 6378}"
305,1,67,0,0.0553932,"\int \text{Erfi}(b x) \sin \left(c-i b^2 x^2\right) \, dx","Int[Erfi[b*x]*Sin[c - I*b^2*x^2],x]","\frac{i b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{i \sqrt{\pi } e^{i c} \text{Erfi}(b x)^2}{8 b}","\frac{i b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{i \sqrt{\pi } e^{i c} \text{Erfi}(b x)^2}{8 b}",1,"((-I/8)*E^(I*c)*Sqrt[Pi]*Erfi[b*x]^2)/b + ((I/2)*b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(E^(I*c)*Sqrt[Pi])","A",4,4,18,0.2222,1,"{6406, 6378, 6375, 30}"
306,1,63,0,0.0549715,"\int \cos \left(c+i b^2 x^2\right) \text{Erfi}(b x) \, dx","Int[Cos[c + I*b^2*x^2]*Erfi[b*x],x]","\frac{b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-i c} \text{Erfi}(b x)^2}{8 b}","\frac{b e^{i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-i c} \text{Erfi}(b x)^2}{8 b}",1,"(Sqrt[Pi]*Erfi[b*x]^2)/(8*b*E^(I*c)) + (b*E^(I*c)*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(2*Sqrt[Pi])","A",4,4,18,0.2222,1,"{6409, 6375, 30, 6378}"
307,1,63,0,0.0534083,"\int \cos \left(c-i b^2 x^2\right) \text{Erfi}(b x) \, dx","Int[Cos[c - I*b^2*x^2]*Erfi[b*x],x]","\frac{b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{i c} \text{Erfi}(b x)^2}{8 b}","\frac{b e^{-i c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{i c} \text{Erfi}(b x)^2}{8 b}",1,"(E^(I*c)*Sqrt[Pi]*Erfi[b*x]^2)/(8*b) + (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(2*E^(I*c)*Sqrt[Pi])","A",4,4,18,0.2222,1,"{6409, 6378, 6375, 30}"
308,1,57,0,0.0508234,"\int \text{Erfi}(b x) \sinh \left(c+b^2 x^2\right) \, dx","Int[Erfi[b*x]*Sinh[c + b^2*x^2],x]","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{8 b}-\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}","\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{8 b}-\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}",1,"(E^c*Sqrt[Pi]*Erfi[b*x]^2)/(8*b) - (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(2*E^c*Sqrt[Pi])","A",4,4,15,0.2667,1,"{6412, 6375, 30, 6378}"
309,1,57,0,0.0514296,"\int \text{Erfi}(b x) \sinh \left(c-b^2 x^2\right) \, dx","Int[Erfi[b*x]*Sinh[c - b^2*x^2],x]","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)^2}{8 b}","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}-\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)^2}{8 b}",1,"-(Sqrt[Pi]*Erfi[b*x]^2)/(8*b*E^c) + (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(2*Sqrt[Pi])","A",4,4,16,0.2500,1,"{6412, 6378, 6375, 30}"
310,1,57,0,0.0490827,"\int \cosh \left(c+b^2 x^2\right) \text{Erfi}(b x) \, dx","Int[Cosh[c + b^2*x^2]*Erfi[b*x],x]","\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{8 b}","\frac{b e^{-c} x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^c \text{Erfi}(b x)^2}{8 b}",1,"(E^c*Sqrt[Pi]*Erfi[b*x]^2)/(8*b) + (b*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(2*E^c*Sqrt[Pi])","A",4,4,15,0.2667,1,"{6415, 6375, 30, 6378}"
311,1,57,0,0.0508761,"\int \cosh \left(c-b^2 x^2\right) \text{Erfi}(b x) \, dx","Int[Cosh[c - b^2*x^2]*Erfi[b*x],x]","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)^2}{8 b}","\frac{b e^c x^2 \, _2F_2\left(1,1;\frac{3}{2},2;-b^2 x^2\right)}{2 \sqrt{\pi }}+\frac{\sqrt{\pi } e^{-c} \text{Erfi}(b x)^2}{8 b}",1,"(Sqrt[Pi]*Erfi[b*x]^2)/(8*b*E^c) + (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, -(b^2*x^2)])/(2*Sqrt[Pi])","A",4,4,16,0.2500,1,"{6415, 6378, 6375, 30}"