1,1,225,0,0.1360657,"\int x^2 \cosh \left(a+b x+c x^2\right) \, dx","Int[x^2*Cosh[a + b*x + c*x^2],x]","\frac{\sqrt{\pi } b^2 e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{\sqrt{\pi } b^2 e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}-\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{b \sinh \left(a+b x+c x^2\right)}{4 c^2}+\frac{x \sinh \left(a+b x+c x^2\right)}{2 c}","\frac{\sqrt{\pi } b^2 e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{\sqrt{\pi } b^2 e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}-\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{b \sinh \left(a+b x+c x^2\right)}{4 c^2}+\frac{x \sinh \left(a+b x+c x^2\right)}{2 c}",1,"(b^2*E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/(16*c^(5/2)) + (E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) + (b^2*E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/(16*c^(5/2)) - (E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) - (b*Sinh[a + b*x + c*x^2])/(4*c^2) + (x*Sinh[a + b*x + c*x^2])/(2*c)","A",12,7,15,0.4667,1,"{5387, 5374, 2234, 2204, 2205, 5383, 5375}"
2,1,111,0,0.0481427,"\int x \cosh \left(a+b x+c x^2\right) \, dx","Int[x*Cosh[a + b*x + c*x^2],x]","-\frac{\sqrt{\pi } b e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } b e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{\sinh \left(a+b x+c x^2\right)}{2 c}","-\frac{\sqrt{\pi } b e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } b e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{\sinh \left(a+b x+c x^2\right)}{2 c}",1,"-(b*E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) - (b*E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) + Sinh[a + b*x + c*x^2]/(2*c)","A",6,5,13,0.3846,1,"{5383, 5375, 2234, 2204, 2205}"
3,1,91,0,0.0339899,"\int \cosh \left(a+b x+c x^2\right) \, dx","Int[Cosh[a + b*x + c*x^2],x]","\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"(E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c]) + (E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c])","A",5,4,11,0.3636,1,"{5375, 2234, 2204, 2205}"
4,0,0,0,0.0104105,"\int \frac{\cosh \left(a+b x+c x^2\right)}{x} \, dx","Int[Cosh[a + b*x + c*x^2]/x,x]","\int \frac{\cosh \left(a+b x+c x^2\right)}{x} \, dx","\text{Int}\left(\frac{\cosh \left(a+b x+c x^2\right)}{x},x\right)",0,"Defer[Int][Cosh[a + b*x + c*x^2]/x, x]","A",0,0,0,0,-1,"{}"
5,1,107,0,0.0859361,"\int \left(\frac{\cosh \left(a+b x+c x^2\right)}{x^2}-\frac{b \sinh \left(a+b x+c x^2\right)}{x}\right) \, dx","Int[Cosh[a + b*x + c*x^2]/x^2 - (b*Sinh[a + b*x + c*x^2])/x,x]","-\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)+\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)-\frac{\cosh \left(a+b x+c x^2\right)}{x}","-\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)+\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)-\frac{\cosh \left(a+b x+c x^2\right)}{x}",1,"-(Cosh[a + b*x + c*x^2]/x) - (Sqrt[c]*E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/2 + (Sqrt[c]*E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/2","A",7,5,33,0.1515,1,"{5391, 5374, 2234, 2204, 2205}"
6,1,227,0,0.1420583,"\int x^2 \cosh \left(a+b x-c x^2\right) \, dx","Int[x^2*Cosh[a + b*x - c*x^2],x]","-\frac{\sqrt{\pi } b^2 e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}-\frac{\sqrt{\pi } e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } b^2 e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{b \sinh \left(a+b x-c x^2\right)}{4 c^2}-\frac{x \sinh \left(a+b x-c x^2\right)}{2 c}","-\frac{\sqrt{\pi } b^2 e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}-\frac{\sqrt{\pi } e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } b^2 e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{b \sinh \left(a+b x-c x^2\right)}{4 c^2}-\frac{x \sinh \left(a+b x-c x^2\right)}{2 c}",1,"-(b^2*E^(a + b^2/(4*c))*Sqrt[Pi]*Erf[(b - 2*c*x)/(2*Sqrt[c])])/(16*c^(5/2)) - (E^(a + b^2/(4*c))*Sqrt[Pi]*Erf[(b - 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) - (b^2*E^(-a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b - 2*c*x)/(2*Sqrt[c])])/(16*c^(5/2)) + (E^(-a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b - 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) - (b*Sinh[a + b*x - c*x^2])/(4*c^2) - (x*Sinh[a + b*x - c*x^2])/(2*c)","A",12,7,16,0.4375,1,"{5387, 5374, 2234, 2205, 2204, 5383, 5375}"
7,1,112,0,0.0531389,"\int x \cosh \left(a+b x-c x^2\right) \, dx","Int[x*Cosh[a + b*x - c*x^2],x]","-\frac{\sqrt{\pi } b e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } b e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sinh \left(a+b x-c x^2\right)}{2 c}","-\frac{\sqrt{\pi } b e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } b e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sinh \left(a+b x-c x^2\right)}{2 c}",1,"-(b*E^(a + b^2/(4*c))*Sqrt[Pi]*Erf[(b - 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) - (b*E^(-a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b - 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) - Sinh[a + b*x - c*x^2]/(2*c)","A",6,5,14,0.3571,1,"{5383, 5375, 2234, 2205, 2204}"
8,1,91,0,0.0338869,"\int \cosh \left(a+b x-c x^2\right) \, dx","Int[Cosh[a + b*x - c*x^2],x]","-\frac{\sqrt{\pi } e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt{\pi } e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}","-\frac{\sqrt{\pi } e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt{\pi } e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)}{4 \sqrt{c}}",1,"-(E^(a + b^2/(4*c))*Sqrt[Pi]*Erf[(b - 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c]) - (E^(-a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b - 2*c*x)/(2*Sqrt[c])])/(4*Sqrt[c])","A",5,4,12,0.3333,1,"{5375, 2234, 2205, 2204}"
9,0,0,0,0.0111384,"\int \frac{\cosh \left(a+b x-c x^2\right)}{x} \, dx","Int[Cosh[a + b*x - c*x^2]/x,x]","\int \frac{\cosh \left(a+b x-c x^2\right)}{x} \, dx","\text{Int}\left(\frac{\cosh \left(a+b x-c x^2\right)}{x},x\right)",0,"Defer[Int][Cosh[a + b*x - c*x^2]/x, x]","A",0,0,0,0,-1,"{}"
10,1,108,0,0.0891469,"\int \left(\frac{\cosh \left(a+b x-c x^2\right)}{x^2}-\frac{b \sinh \left(a+b x-c x^2\right)}{x}\right) \, dx","Int[Cosh[a + b*x - c*x^2]/x^2 - (b*Sinh[a + b*x - c*x^2])/x,x]","\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)-\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)-\frac{\cosh \left(a+b x-c x^2\right)}{x}","\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{a+\frac{b^2}{4 c}} \text{Erf}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)-\frac{1}{2} \sqrt{\pi } \sqrt{c} e^{-a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b-2 c x}{2 \sqrt{c}}\right)-\frac{\cosh \left(a+b x-c x^2\right)}{x}",1,"-(Cosh[a + b*x - c*x^2]/x) + (Sqrt[c]*E^(a + b^2/(4*c))*Sqrt[Pi]*Erf[(b - 2*c*x)/(2*Sqrt[c])])/2 - (Sqrt[c]*E^(-a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b - 2*c*x)/(2*Sqrt[c])])/2","A",7,5,35,0.1429,1,"{5391, 5374, 2234, 2205, 2204}"
11,1,66,0,0.057029,"\int x^2 \cosh \left(\frac{1}{4}+x+x^2\right) \, dx","Int[x^2*Cosh[1/4 + x + x^2],x]","-\frac{3}{16} \sqrt{\pi } \text{Erf}\left(\frac{1}{2} (-2 x-1)\right)-\frac{1}{16} \sqrt{\pi } \text{Erfi}\left(\frac{1}{2} (2 x+1)\right)+\frac{1}{2} x \sinh \left(x^2+x+\frac{1}{4}\right)-\frac{1}{4} \sinh \left(x^2+x+\frac{1}{4}\right)","-\frac{3}{16} \sqrt{\pi } \text{Erf}\left(\frac{1}{2} (-2 x-1)\right)-\frac{1}{16} \sqrt{\pi } \text{Erfi}\left(\frac{1}{2} (2 x+1)\right)+\frac{1}{2} x \sinh \left(x^2+x+\frac{1}{4}\right)-\frac{1}{4} \sinh \left(x^2+x+\frac{1}{4}\right)",1,"(-3*Sqrt[Pi]*Erf[(-1 - 2*x)/2])/16 - (Sqrt[Pi]*Erfi[(1 + 2*x)/2])/16 - Sinh[1/4 + x + x^2]/4 + (x*Sinh[1/4 + x + x^2])/2","A",12,7,13,0.5385,1,"{5387, 5374, 2234, 2204, 2205, 5383, 5375}"
12,1,52,0,0.025401,"\int x \cosh \left(\frac{1}{4}+x+x^2\right) \, dx","Int[x*Cosh[1/4 + x + x^2],x]","\frac{1}{8} \sqrt{\pi } \text{Erf}\left(\frac{1}{2} (-2 x-1)\right)-\frac{1}{8} \sqrt{\pi } \text{Erfi}\left(\frac{1}{2} (2 x+1)\right)+\frac{1}{2} \sinh \left(x^2+x+\frac{1}{4}\right)","\frac{1}{8} \sqrt{\pi } \text{Erf}\left(\frac{1}{2} (-2 x-1)\right)-\frac{1}{8} \sqrt{\pi } \text{Erfi}\left(\frac{1}{2} (2 x+1)\right)+\frac{1}{2} \sinh \left(x^2+x+\frac{1}{4}\right)",1,"(Sqrt[Pi]*Erf[(-1 - 2*x)/2])/8 - (Sqrt[Pi]*Erfi[(1 + 2*x)/2])/8 + Sinh[1/4 + x + x^2]/2","A",6,5,11,0.4545,1,"{5383, 5375, 2234, 2204, 2205}"
13,1,39,0,0.015898,"\int \cosh \left(\frac{1}{4}+x+x^2\right) \, dx","Int[Cosh[1/4 + x + x^2],x]","\frac{1}{4} \sqrt{\pi } \text{Erfi}\left(\frac{1}{2} (2 x+1)\right)-\frac{1}{4} \sqrt{\pi } \text{Erf}\left(\frac{1}{2} (-2 x-1)\right)","\frac{1}{4} \sqrt{\pi } \text{Erfi}\left(\frac{1}{2} (2 x+1)\right)-\frac{1}{4} \sqrt{\pi } \text{Erf}\left(\frac{1}{2} (-2 x-1)\right)",1,"-(Sqrt[Pi]*Erf[(-1 - 2*x)/2])/4 + (Sqrt[Pi]*Erfi[(1 + 2*x)/2])/4","A",5,4,9,0.4444,1,"{5375, 2234, 2204, 2205}"
14,0,0,0,0.0101773,"\int \frac{\cosh \left(\frac{1}{4}+x+x^2\right)}{x} \, dx","Int[Cosh[1/4 + x + x^2]/x,x]","\int \frac{\cosh \left(\frac{1}{4}+x+x^2\right)}{x} \, dx","\text{Int}\left(\frac{\cosh \left(x^2+x+\frac{1}{4}\right)}{x},x\right)",0,"Defer[Int][Cosh[1/4 + x + x^2]/x, x]","A",0,0,0,0,-1,"{}"
15,0,0,0,0.0401572,"\int \frac{\cosh \left(\frac{1}{4}+x+x^2\right)}{x^2} \, dx","Int[Cosh[1/4 + x + x^2]/x^2,x]","\int \frac{\cosh \left(\frac{1}{4}+x+x^2\right)}{x^2} \, dx","\text{Int}\left(\frac{\sinh \left(x^2+x+\frac{1}{4}\right)}{x},x\right)+\frac{1}{2} \sqrt{\pi } \text{Erf}\left(\frac{1}{2} (-2 x-1)\right)+\frac{1}{2} \sqrt{\pi } \text{Erfi}\left(\frac{1}{2} (2 x+1)\right)-\frac{\cosh \left(x^2+x+\frac{1}{4}\right)}{x}",0,"-(Cosh[1/4 + x + x^2]/x) + (Sqrt[Pi]*Erf[(-1 - 2*x)/2])/2 + (Sqrt[Pi]*Erfi[(1 + 2*x)/2])/2 + Defer[Int][Sinh[1/4 + x + x^2]/x, x]","A",0,0,0,0,-1,"{}"
16,1,268,0,0.2350608,"\int x^2 \cosh ^2\left(a+b x+c x^2\right) \, dx","Int[x^2*Cosh[a + b*x + c*x^2]^2,x]","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} b^2 e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}-\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} b^2 e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}-\frac{b \sinh \left(2 a+2 b x+2 c x^2\right)}{16 c^2}+\frac{x \sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{x^3}{6}","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} b^2 e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}-\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} b^2 e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}-\frac{b \sinh \left(2 a+2 b x+2 c x^2\right)}{16 c^2}+\frac{x \sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{x^3}{6}",1,"x^3/6 + (b^2*E^(-2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(5/2)) + (E^(-2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(3/2)) + (b^2*E^(2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(5/2)) - (E^(2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(3/2)) - (b*Sinh[2*a + 2*b*x + 2*c*x^2])/(16*c^2) + (x*Sinh[2*a + 2*b*x + 2*c*x^2])/(8*c)","A",14,8,17,0.4706,1,"{5395, 5387, 5374, 2234, 2204, 2205, 5383, 5375}"
17,1,136,0,0.0925022,"\int x \cosh ^2\left(a+b x+c x^2\right) \, dx","Int[x*Cosh[a + b*x + c*x^2]^2,x]","-\frac{\sqrt{\frac{\pi }{2}} b e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}+\frac{\sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{x^2}{4}","-\frac{\sqrt{\frac{\pi }{2}} b e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}+\frac{\sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{x^2}{4}",1,"x^2/4 - (b*E^(-2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(16*c^(3/2)) - (b*E^(2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(16*c^(3/2)) + Sinh[2*a + 2*b*x + 2*c*x^2]/(8*c)","A",8,6,15,0.4000,1,"{5395, 5383, 5375, 2234, 2204, 2205}"
18,1,110,0,0.0663257,"\int \cosh ^2\left(a+b x+c x^2\right) \, dx","Int[Cosh[a + b*x + c*x^2]^2,x]","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}+\frac{x}{2}","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}+\frac{x}{2}",1,"x/2 + (E^(-2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(8*Sqrt[c]) + (E^(2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(8*Sqrt[c])","A",7,5,13,0.3846,1,"{5377, 5375, 2234, 2204, 2205}"
19,0,0,0,0.0327872,"\int \frac{\cosh ^2\left(a+b x+c x^2\right)}{x} \, dx","Int[Cosh[a + b*x + c*x^2]^2/x,x]","\int \frac{\cosh ^2\left(a+b x+c x^2\right)}{x} \, dx","\frac{1}{2} \text{Int}\left(\frac{\cosh \left(2 a+2 b x+2 c x^2\right)}{x},x\right)+\frac{\log (x)}{2}",0,"Log[x]/2 + Defer[Int][Cosh[2*a + 2*b*x + 2*c*x^2]/x, x]/2","A",0,0,0,0,-1,"{}"
20,1,268,0,0.2352196,"\int x^2 \cosh ^2\left(a+b x-c x^2\right) \, dx","Int[x^2*Cosh[a + b*x - c*x^2]^2,x]","-\frac{\sqrt{\frac{\pi }{2}} e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b^2 e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b^2 e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}-\frac{b \sinh \left(2 a+2 b x-2 c x^2\right)}{16 c^2}-\frac{x \sinh \left(2 a+2 b x-2 c x^2\right)}{8 c}+\frac{x^3}{6}","-\frac{\sqrt{\frac{\pi }{2}} e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b^2 e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b^2 e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}-\frac{b \sinh \left(2 a+2 b x-2 c x^2\right)}{16 c^2}-\frac{x \sinh \left(2 a+2 b x-2 c x^2\right)}{8 c}+\frac{x^3}{6}",1,"x^3/6 - (b^2*E^(2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(5/2)) - (E^(2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(3/2)) - (b^2*E^(-2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(5/2)) + (E^(-2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(3/2)) - (b*Sinh[2*a + 2*b*x - 2*c*x^2])/(16*c^2) - (x*Sinh[2*a + 2*b*x - 2*c*x^2])/(8*c)","A",14,8,18,0.4444,1,"{5395, 5387, 5374, 2234, 2205, 2204, 5383, 5375}"
21,1,136,0,0.0926933,"\int x \cosh ^2\left(a+b x-c x^2\right) \, dx","Int[x*Cosh[a + b*x - c*x^2]^2,x]","-\frac{\sqrt{\frac{\pi }{2}} b e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}-\frac{\sinh \left(2 a+2 b x-2 c x^2\right)}{8 c}+\frac{x^2}{4}","-\frac{\sqrt{\frac{\pi }{2}} b e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} b e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}-\frac{\sinh \left(2 a+2 b x-2 c x^2\right)}{8 c}+\frac{x^2}{4}",1,"x^2/4 - (b*E^(2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(16*c^(3/2)) - (b*E^(-2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(16*c^(3/2)) - Sinh[2*a + 2*b*x - 2*c*x^2]/(8*c)","A",8,6,16,0.3750,1,"{5395, 5383, 5375, 2234, 2205, 2204}"
22,1,110,0,0.0659586,"\int \cosh ^2\left(a+b x-c x^2\right) \, dx","Int[Cosh[a + b*x - c*x^2]^2,x]","-\frac{\sqrt{\frac{\pi }{2}} e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}-\frac{\sqrt{\frac{\pi }{2}} e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}+\frac{x}{2}","-\frac{\sqrt{\frac{\pi }{2}} e^{2 a+\frac{b^2}{2 c}} \text{Erf}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}-\frac{\sqrt{\frac{\pi }{2}} e^{-2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b-2 c x}{\sqrt{2} \sqrt{c}}\right)}{8 \sqrt{c}}+\frac{x}{2}",1,"x/2 - (E^(2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(8*Sqrt[c]) - (E^(-2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b - 2*c*x)/(Sqrt[2]*Sqrt[c])])/(8*Sqrt[c])","A",7,5,14,0.3571,1,"{5377, 5375, 2234, 2205, 2204}"
23,0,0,0,0.0334658,"\int \frac{\cosh ^2\left(a+b x-c x^2\right)}{x} \, dx","Int[Cosh[a + b*x - c*x^2]^2/x,x]","\int \frac{\cosh ^2\left(a+b x-c x^2\right)}{x} \, dx","\frac{1}{2} \text{Int}\left(\frac{\cosh \left(2 a+2 b x-2 c x^2\right)}{x},x\right)+\frac{\log (x)}{2}",0,"Log[x]/2 + Defer[Int][Cosh[2*a + 2*b*x - 2*c*x^2]/x, x]/2","A",0,0,0,0,-1,"{}"
24,1,68,0,0.0987121,"\int x^2 \cosh ^2\left(\frac{1}{4}+x+x^2\right) \, dx","Int[x^2*Cosh[1/4 + x + x^2]^2,x]","\frac{1}{16} \sqrt{\frac{\pi }{2}} \text{Erf}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{x^3}{6}+\frac{1}{8} x \sinh \left(2 x^2+2 x+\frac{1}{2}\right)-\frac{1}{16} \sinh \left(2 x^2+2 x+\frac{1}{2}\right)","\frac{1}{16} \sqrt{\frac{\pi }{2}} \text{Erf}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{x^3}{6}+\frac{1}{8} x \sinh \left(2 x^2+2 x+\frac{1}{2}\right)-\frac{1}{16} \sinh \left(2 x^2+2 x+\frac{1}{2}\right)",1,"x^3/6 + (Sqrt[Pi/2]*Erf[(1 + 2*x)/Sqrt[2]])/16 - Sinh[1/2 + 2*x + 2*x^2]/16 + (x*Sinh[1/2 + 2*x + 2*x^2])/8","A",14,8,15,0.5333,1,"{5395, 5387, 5374, 2234, 2204, 2205, 5383, 5375}"
25,1,75,0,0.0541586,"\int x \cosh ^2\left(\frac{1}{4}+x+x^2\right) \, dx","Int[x*Cosh[1/4 + x + x^2]^2,x]","-\frac{1}{16} \sqrt{\frac{\pi }{2}} \text{Erf}\left(\frac{2 x+1}{\sqrt{2}}\right)-\frac{1}{16} \sqrt{\frac{\pi }{2}} \text{Erfi}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{x^2}{4}+\frac{1}{8} \sinh \left(2 x^2+2 x+\frac{1}{2}\right)","-\frac{1}{16} \sqrt{\frac{\pi }{2}} \text{Erf}\left(\frac{2 x+1}{\sqrt{2}}\right)-\frac{1}{16} \sqrt{\frac{\pi }{2}} \text{Erfi}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{x^2}{4}+\frac{1}{8} \sinh \left(2 x^2+2 x+\frac{1}{2}\right)",1,"x^2/4 - (Sqrt[Pi/2]*Erf[(1 + 2*x)/Sqrt[2]])/16 - (Sqrt[Pi/2]*Erfi[(1 + 2*x)/Sqrt[2]])/16 + Sinh[1/2 + 2*x + 2*x^2]/8","A",8,6,13,0.4615,1,"{5395, 5383, 5375, 2234, 2204, 2205}"
26,1,56,0,0.034158,"\int \cosh ^2\left(\frac{1}{4}+x+x^2\right) \, dx","Int[Cosh[1/4 + x + x^2]^2,x]","\frac{1}{8} \sqrt{\frac{\pi }{2}} \text{Erf}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{1}{8} \sqrt{\frac{\pi }{2}} \text{Erfi}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{x}{2}","\frac{1}{8} \sqrt{\frac{\pi }{2}} \text{Erf}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{1}{8} \sqrt{\frac{\pi }{2}} \text{Erfi}\left(\frac{2 x+1}{\sqrt{2}}\right)+\frac{x}{2}",1,"x/2 + (Sqrt[Pi/2]*Erf[(1 + 2*x)/Sqrt[2]])/8 + (Sqrt[Pi/2]*Erfi[(1 + 2*x)/Sqrt[2]])/8","A",7,5,11,0.4545,1,"{5377, 5375, 2234, 2204, 2205}"
27,0,0,0,0.0319165,"\int \frac{\cosh ^2\left(\frac{1}{4}+x+x^2\right)}{x} \, dx","Int[Cosh[1/4 + x + x^2]^2/x,x]","\int \frac{\cosh ^2\left(\frac{1}{4}+x+x^2\right)}{x} \, dx","\frac{1}{2} \text{Int}\left(\frac{\cosh \left(2 x^2+2 x+\frac{1}{2}\right)}{x},x\right)+\frac{\log (x)}{2}",0,"Log[x]/2 + Defer[Int][Cosh[1/2 + 2*x + 2*x^2]/x, x]/2","A",0,0,0,0,-1,"{}"
28,1,261,0,0.1720524,"\int (d+e x)^2 \cosh \left(a+b x+c x^2\right) \, dx","Int[(d + e*x)^2*Cosh[a + b*x + c*x^2],x]","\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} (2 c d-b e)^2 \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} (2 c d-b e)^2 \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^2 e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } e^2 e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{e (2 c d-b e) \sinh \left(a+b x+c x^2\right)}{4 c^2}+\frac{e (d+e x) \sinh \left(a+b x+c x^2\right)}{2 c}","\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} (2 c d-b e)^2 \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} (2 c d-b e)^2 \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{16 c^{5/2}}+\frac{\sqrt{\pi } e^2 e^{\frac{b^2}{4 c}-a} \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}-\frac{\sqrt{\pi } e^2 e^{a-\frac{b^2}{4 c}} \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{e (2 c d-b e) \sinh \left(a+b x+c x^2\right)}{4 c^2}+\frac{e (d+e x) \sinh \left(a+b x+c x^2\right)}{2 c}",1,"(e^2*E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) + ((2*c*d - b*e)^2*E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/(16*c^(5/2)) - (e^2*E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) + ((2*c*d - b*e)^2*E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/(16*c^(5/2)) + (e*(2*c*d - b*e)*Sinh[a + b*x + c*x^2])/(4*c^2) + (e*(d + e*x)*Sinh[a + b*x + c*x^2])/(2*c)","A",12,7,19,0.3684,1,"{5387, 5374, 2234, 2204, 2205, 5383, 5375}"
29,1,128,0,0.0599674,"\int (d+e x) \cosh \left(a+b x+c x^2\right) \, dx","Int[(d + e*x)*Cosh[a + b*x + c*x^2],x]","\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} (2 c d-b e) \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} (2 c d-b e) \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{e \sinh \left(a+b x+c x^2\right)}{2 c}","\frac{\sqrt{\pi } e^{\frac{b^2}{4 c}-a} (2 c d-b e) \text{Erf}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{\sqrt{\pi } e^{a-\frac{b^2}{4 c}} (2 c d-b e) \text{Erfi}\left(\frac{b+2 c x}{2 \sqrt{c}}\right)}{8 c^{3/2}}+\frac{e \sinh \left(a+b x+c x^2\right)}{2 c}",1,"((2*c*d - b*e)*E^(-a + b^2/(4*c))*Sqrt[Pi]*Erf[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) + ((2*c*d - b*e)*E^(a - b^2/(4*c))*Sqrt[Pi]*Erfi[(b + 2*c*x)/(2*Sqrt[c])])/(8*c^(3/2)) + (e*Sinh[a + b*x + c*x^2])/(2*c)","A",6,5,17,0.2941,1,"{5383, 5375, 2234, 2204, 2205}"
30,0,0,0,0.0153,"\int \frac{\cosh \left(a+b x+c x^2\right)}{d+e x} \, dx","Int[Cosh[a + b*x + c*x^2]/(d + e*x),x]","\int \frac{\cosh \left(a+b x+c x^2\right)}{d+e x} \, dx","\text{Int}\left(\frac{\cosh \left(a+b x+c x^2\right)}{d+e x},x\right)",0,"Defer[Int][Cosh[a + b*x + c*x^2]/(d + e*x), x]","A",0,0,0,0,-1,"{}"
31,1,311,0,0.3856224,"\int (d+e x)^2 \cosh ^2\left(a+b x+c x^2\right) \, dx","Int[(d + e*x)^2*Cosh[a + b*x + c*x^2]^2,x]","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} (2 c d-b e)^2 \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} (2 c d-b e)^2 \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} e^2 e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} e^2 e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}+\frac{e (2 c d-b e) \sinh \left(2 a+2 b x+2 c x^2\right)}{16 c^2}+\frac{e (d+e x) \sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{(d+e x)^3}{6 e}","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} (2 c d-b e)^2 \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} (2 c d-b e)^2 \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{5/2}}+\frac{\sqrt{\frac{\pi }{2}} e^2 e^{\frac{b^2}{2 c}-2 a} \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}-\frac{\sqrt{\frac{\pi }{2}} e^2 e^{2 a-\frac{b^2}{2 c}} \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{32 c^{3/2}}+\frac{e (2 c d-b e) \sinh \left(2 a+2 b x+2 c x^2\right)}{16 c^2}+\frac{e (d+e x) \sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{(d+e x)^3}{6 e}",1,"(d + e*x)^3/(6*e) + (e^2*E^(-2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(3/2)) + ((2*c*d - b*e)^2*E^(-2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(5/2)) - (e^2*E^(2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(3/2)) + ((2*c*d - b*e)^2*E^(2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(32*c^(5/2)) + (e*(2*c*d - b*e)*Sinh[2*a + 2*b*x + 2*c*x^2])/(16*c^2) + (e*(d + e*x)*Sinh[2*a + 2*b*x + 2*c*x^2])/(8*c)","A",14,8,21,0.3810,1,"{5395, 5387, 5374, 2234, 2204, 2205, 5383, 5375}"
32,1,160,0,0.1459209,"\int (d+e x) \cosh ^2\left(a+b x+c x^2\right) \, dx","Int[(d + e*x)*Cosh[a + b*x + c*x^2]^2,x]","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} (2 c d-b e) \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} (2 c d-b e) \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}+\frac{e \sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{(d+e x)^2}{4 e}","\frac{\sqrt{\frac{\pi }{2}} e^{\frac{b^2}{2 c}-2 a} (2 c d-b e) \text{Erf}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}+\frac{\sqrt{\frac{\pi }{2}} e^{2 a-\frac{b^2}{2 c}} (2 c d-b e) \text{Erfi}\left(\frac{b+2 c x}{\sqrt{2} \sqrt{c}}\right)}{16 c^{3/2}}+\frac{e \sinh \left(2 a+2 b x+2 c x^2\right)}{8 c}+\frac{(d+e x)^2}{4 e}",1,"(d + e*x)^2/(4*e) + ((2*c*d - b*e)*E^(-2*a + b^2/(2*c))*Sqrt[Pi/2]*Erf[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(16*c^(3/2)) + ((2*c*d - b*e)*E^(2*a - b^2/(2*c))*Sqrt[Pi/2]*Erfi[(b + 2*c*x)/(Sqrt[2]*Sqrt[c])])/(16*c^(3/2)) + (e*Sinh[2*a + 2*b*x + 2*c*x^2])/(8*c)","A",8,6,19,0.3158,1,"{5395, 5383, 5375, 2234, 2204, 2205}"
33,0,0,0,0.0472074,"\int \frac{\cosh ^2\left(a+b x+c x^2\right)}{d+e x} \, dx","Int[Cosh[a + b*x + c*x^2]^2/(d + e*x),x]","\int \frac{\cosh ^2\left(a+b x+c x^2\right)}{d+e x} \, dx","\frac{1}{2} \text{Int}\left(\frac{\cosh \left(2 a+2 b x+2 c x^2\right)}{d+e x},x\right)+\frac{\log (d+e x)}{2 e}",0,"Log[d + e*x]/(2*e) + Defer[Int][Cosh[2*a + 2*b*x + 2*c*x^2]/(d + e*x), x]/2","A",0,0,0,0,-1,"{}"