1,1,252,169,0.129000," ","int(x^2*cosh(c*x^2+b*x+a),x)","-\frac{x \,{\mathrm e}^{-c \,x^{2}-b x -a}}{4 c}+\frac{b \,{\mathrm e}^{-c \,x^{2}-b x -a}}{8 c^{2}}+\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{16 c^{\frac{5}{2}}}+\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{8 c^{\frac{3}{2}}}+\frac{x \,{\mathrm e}^{c \,x^{2}+b x +a}}{4 c}-\frac{b \,{\mathrm e}^{c \,x^{2}+b x +a}}{8 c^{2}}-\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{16 c^{2} \sqrt{-c}}+\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{8 c \sqrt{-c}}"," ",0,"-1/4/c*x*exp(-c*x^2-b*x-a)+1/8*b/c^2*exp(-c*x^2-b*x-a)+1/16*b^2/c^(5/2)*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)*erf(c^(1/2)*x+1/2*b/c^(1/2))+1/8/c^(3/2)*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)*erf(c^(1/2)*x+1/2*b/c^(1/2))+1/4/c*x*exp(c*x^2+b*x+a)-1/8*b/c^2*exp(c*x^2+b*x+a)-1/16*b^2/c^2*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))+1/8/c*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))","A"
2,1,124,83,0.099000," ","int(x*cosh(c*x^2+b*x+a),x)","-\frac{{\mathrm e}^{-c \,x^{2}-b x -a}}{4 c}-\frac{b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{8 c^{\frac{3}{2}}}+\frac{{\mathrm e}^{c \,x^{2}+b x +a}}{4 c}+\frac{b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{8 c \sqrt{-c}}"," ",0,"-1/4/c*exp(-c*x^2-b*x-a)-1/8*b/c^(3/2)*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)*erf(c^(1/2)*x+1/2*b/c^(1/2))+1/4/c*exp(c*x^2+b*x+a)+1/8*b/c*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))","A"
3,1,83,65,0.105000," ","int(cosh(c*x^2+b*x+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{4 \sqrt{-c}}"," ",0,"1/4*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)/c^(1/2)*erf(c^(1/2)*x+1/2*b/c^(1/2))-1/4*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))","A"
4,0,0,17,0.108000," ","int(cosh(c*x^2+b*x+a)/x,x)","\int \frac{\cosh \left(c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(cosh(c*x^2+b*x+a)/x,x)","F"
5,0,0,81,0.394000," ","int(cosh(c*x^2+b*x+a)/x^2-b*sinh(c*x^2+b*x+a)/x,x)","\int \frac{\cosh \left(c \,x^{2}+b x +a \right)}{x^{2}}-\frac{b \sinh \left(c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(cosh(c*x^2+b*x+a)/x^2-b*sinh(c*x^2+b*x+a)/x,x)","F"
6,1,244,171,0.117000," ","int(x^2*cosh(-c*x^2+b*x+a),x)","\frac{x \,{\mathrm e}^{c \,x^{2}-b x -a}}{4 c}+\frac{b \,{\mathrm e}^{c \,x^{2}-b x -a}}{8 c^{2}}+\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{4 c}} \erf \left(\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{16 c^{2} \sqrt{-c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{4 c}} \erf \left(\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{8 c \sqrt{-c}}-\frac{x \,{\mathrm e}^{-c \,x^{2}+b x +a}}{4 c}-\frac{b \,{\mathrm e}^{-c \,x^{2}+b x +a}}{8 c^{2}}-\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{4 c}} \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{16 c^{\frac{5}{2}}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{4 c}} \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{8 c^{\frac{3}{2}}}"," ",0,"1/4/c*x*exp(c*x^2-b*x-a)+1/8*b/c^2*exp(c*x^2-b*x-a)+1/16*b^2/c^2*Pi^(1/2)*exp(-1/4*(4*a*c+b^2)/c)/(-c)^(1/2)*erf((-c)^(1/2)*x+1/2*b/(-c)^(1/2))-1/8/c*Pi^(1/2)*exp(-1/4*(4*a*c+b^2)/c)/(-c)^(1/2)*erf((-c)^(1/2)*x+1/2*b/(-c)^(1/2))-1/4/c*x*exp(-c*x^2+b*x+a)-1/8*b/c^2*exp(-c*x^2+b*x+a)-1/16*b^2/c^(5/2)*Pi^(1/2)*exp(1/4*(4*a*c+b^2)/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2))-1/8/c^(3/2)*Pi^(1/2)*exp(1/4*(4*a*c+b^2)/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2))","A"
7,1,120,84,0.102000," ","int(x*cosh(-c*x^2+b*x+a),x)","\frac{{\mathrm e}^{c \,x^{2}-b x -a}}{4 c}+\frac{b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{4 c}} \erf \left(\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{8 c \sqrt{-c}}-\frac{{\mathrm e}^{-c \,x^{2}+b x +a}}{4 c}-\frac{b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{4 c}} \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{8 c^{\frac{3}{2}}}"," ",0,"1/4/c*exp(c*x^2-b*x-a)+1/8*b/c*Pi^(1/2)*exp(-1/4*(4*a*c+b^2)/c)/(-c)^(1/2)*erf((-c)^(1/2)*x+1/2*b/(-c)^(1/2))-1/4/c*exp(-c*x^2+b*x+a)-1/8*b/c^(3/2)*Pi^(1/2)*exp(1/4*(4*a*c+b^2)/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2))","A"
8,1,79,65,0.094000," ","int(cosh(-c*x^2+b*x+a),x)","\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{4 c}} \erf \left(\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{4 \sqrt{-c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{4 c}} \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{4 \sqrt{c}}"," ",0,"1/4*Pi^(1/2)*exp(-1/4*(4*a*c+b^2)/c)/(-c)^(1/2)*erf((-c)^(1/2)*x+1/2*b/(-c)^(1/2))-1/4*Pi^(1/2)*exp(1/4*(4*a*c+b^2)/c)/c^(1/2)*erf(-c^(1/2)*x+1/2*b/c^(1/2))","A"
9,0,0,18,0.106000," ","int(cosh(-c*x^2+b*x+a)/x,x)","\int \frac{\cosh \left(-c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(cosh(-c*x^2+b*x+a)/x,x)","F"
10,0,0,82,0.372000," ","int(cosh(-c*x^2+b*x+a)/x^2-b*sinh(-c*x^2+b*x+a)/x,x)","\int \frac{\cosh \left(-c \,x^{2}+b x +a \right)}{x^{2}}-\frac{b \sinh \left(-c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(cosh(-c*x^2+b*x+a)/x^2-b*sinh(-c*x^2+b*x+a)/x,x)","F"
11,1,75,38,0.127000," ","int(x^2*cosh(1/4+x+x^2),x)","-\frac{x \,{\mathrm e}^{-\frac{\left(1+2 x \right)^{2}}{4}}}{4}+\frac{{\mathrm e}^{-\frac{\left(1+2 x \right)^{2}}{4}}}{8}+\frac{3 \erf \left(\frac{1}{2}+x \right) \sqrt{\pi}}{16}+\frac{x \,{\mathrm e}^{\frac{\left(1+2 x \right)^{2}}{4}}}{4}-\frac{{\mathrm e}^{\frac{\left(1+2 x \right)^{2}}{4}}}{8}+\frac{i \sqrt{\pi}\, \erf \left(i x +\frac{1}{2} i\right)}{16}"," ",0,"-1/4*x*exp(-1/4*(1+2*x)^2)+1/8*exp(-1/4*(1+2*x)^2)+3/16*erf(1/2+x)*Pi^(1/2)+1/4*x*exp(1/4*(1+2*x)^2)-1/8*exp(1/4*(1+2*x)^2)+1/16*I*Pi^(1/2)*erf(I*x+1/2*I)","C"
12,1,49,28,0.120000," ","int(x*cosh(1/4+x+x^2),x)","-\frac{{\mathrm e}^{-\frac{\left(1+2 x \right)^{2}}{4}}}{4}-\frac{\erf \left(\frac{1}{2}+x \right) \sqrt{\pi}}{8}+\frac{{\mathrm e}^{\frac{\left(1+2 x \right)^{2}}{4}}}{4}+\frac{i \sqrt{\pi}\, \erf \left(i x +\frac{1}{2} i\right)}{8}"," ",0,"-1/4*exp(-1/4*(1+2*x)^2)-1/8*erf(1/2+x)*Pi^(1/2)+1/4*exp(1/4*(1+2*x)^2)+1/8*I*Pi^(1/2)*erf(I*x+1/2*I)","C"
13,1,25,19,0.115000," ","int(cosh(1/4+x+x^2),x)","\frac{\erf \left(\frac{1}{2}+x \right) \sqrt{\pi}}{4}-\frac{i \sqrt{\pi}\, \erf \left(i x +\frac{1}{2} i\right)}{4}"," ",0,"1/4*erf(1/2+x)*Pi^(1/2)-1/4*I*Pi^(1/2)*erf(I*x+1/2*I)","C"
14,0,0,13,0.128000," ","int(cosh(1/4+x+x^2)/x,x)","\int \frac{\cosh \left(\frac{1}{4}+x +x^{2}\right)}{x}\, dx"," ",0,"int(cosh(1/4+x+x^2)/x,x)","F"
15,0,0,44,0.136000," ","int(cosh(1/4+x+x^2)/x^2,x)","\int \frac{\cosh \left(\frac{1}{4}+x +x^{2}\right)}{x^{2}}\, dx"," ",0,"int(cosh(1/4+x+x^2)/x^2,x)","F"
16,1,281,210,0.235000," ","int(x^2*cosh(c*x^2+b*x+a)^2,x)","\frac{x^{3}}{6}-\frac{x \,{\mathrm e}^{-2 c \,x^{2}-2 b x -2 a}}{16 c}+\frac{b \,{\mathrm e}^{-2 c \,x^{2}-2 b x -2 a}}{32 c^{2}}+\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{64 c^{\frac{5}{2}}}+\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{64 c^{\frac{3}{2}}}+\frac{x \,{\mathrm e}^{2 c \,x^{2}+2 b x +2 a}}{16 c}-\frac{b \,{\mathrm e}^{2 c \,x^{2}+2 b x +2 a}}{32 c^{2}}-\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{32 c^{2} \sqrt{-2 c}}+\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{32 c \sqrt{-2 c}}"," ",0,"1/6*x^3-1/16/c*x*exp(-2*c*x^2-2*b*x-2*a)+1/32*b/c^2*exp(-2*c*x^2-2*b*x-2*a)+1/64*b^2/c^(5/2)*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))+1/64/c^(3/2)*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))+1/16/c*x*exp(2*c*x^2+2*b*x+2*a)-1/32*b/c^2*exp(2*c*x^2+2*b*x+2*a)-1/32*b^2/c^2*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))+1/32/c*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))","A"
17,1,141,106,0.192000," ","int(x*cosh(c*x^2+b*x+a)^2,x)","\frac{x^{2}}{4}-\frac{{\mathrm e}^{-2 c \,x^{2}-2 b x -2 a}}{16 c}-\frac{b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{32 c^{\frac{3}{2}}}+\frac{{\mathrm e}^{2 c \,x^{2}+2 b x +2 a}}{16 c}+\frac{b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{16 c \sqrt{-2 c}}"," ",0,"1/4*x^2-1/16/c*exp(-2*c*x^2-2*b*x-2*a)-1/32*b/c^(3/2)*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))+1/16/c*exp(2*c*x^2+2*b*x+2*a)+1/16*b/c*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))","A"
18,1,94,82,0.177000," ","int(cosh(c*x^2+b*x+a)^2,x)","\frac{x}{2}+\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{16 \sqrt{c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{8 \sqrt{-2 c}}"," ",0,"1/2*x+1/16*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)/c^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))-1/8*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))","A"
19,0,0,28,0.206000," ","int(cosh(c*x^2+b*x+a)^2/x,x)","\int \frac{\cosh^{2}\left(c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(cosh(c*x^2+b*x+a)^2/x,x)","F"
20,1,273,210,0.229000," ","int(x^2*cosh(-c*x^2+b*x+a)^2,x)","\frac{x^{3}}{6}+\frac{x \,{\mathrm e}^{2 c \,x^{2}-2 b x -2 a}}{16 c}+\frac{b \,{\mathrm e}^{2 c \,x^{2}-2 b x -2 a}}{32 c^{2}}+\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{2 c}} \erf \left(\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{32 c^{2} \sqrt{-2 c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{2 c}} \erf \left(\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{32 c \sqrt{-2 c}}-\frac{x \,{\mathrm e}^{-2 c \,x^{2}+2 b x +2 a}}{16 c}-\frac{b \,{\mathrm e}^{-2 c \,x^{2}+2 b x +2 a}}{32 c^{2}}-\frac{b^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{2 c}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{64 c^{\frac{5}{2}}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{2 c}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{64 c^{\frac{3}{2}}}"," ",0,"1/6*x^3+1/16/c*x*exp(2*c*x^2-2*b*x-2*a)+1/32*b/c^2*exp(2*c*x^2-2*b*x-2*a)+1/32*b^2/c^2*Pi^(1/2)*exp(-1/2*(4*a*c+b^2)/c)/(-2*c)^(1/2)*erf((-2*c)^(1/2)*x+b/(-2*c)^(1/2))-1/32/c*Pi^(1/2)*exp(-1/2*(4*a*c+b^2)/c)/(-2*c)^(1/2)*erf((-2*c)^(1/2)*x+b/(-2*c)^(1/2))-1/16/c*x*exp(-2*c*x^2+2*b*x+2*a)-1/32*b/c^2*exp(-2*c*x^2+2*b*x+2*a)-1/64*b^2/c^(5/2)*Pi^(1/2)*exp(1/2*(4*a*c+b^2)/c)*2^(1/2)*erf(-2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))-1/64/c^(3/2)*Pi^(1/2)*exp(1/2*(4*a*c+b^2)/c)*2^(1/2)*erf(-2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))","A"
21,1,137,106,0.199000," ","int(x*cosh(-c*x^2+b*x+a)^2,x)","\frac{x^{2}}{4}+\frac{{\mathrm e}^{2 c \,x^{2}-2 b x -2 a}}{16 c}+\frac{b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{2 c}} \erf \left(\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{16 c \sqrt{-2 c}}-\frac{{\mathrm e}^{-2 c \,x^{2}+2 b x +2 a}}{16 c}-\frac{b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{2 c}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{32 c^{\frac{3}{2}}}"," ",0,"1/4*x^2+1/16/c*exp(2*c*x^2-2*b*x-2*a)+1/16*b/c*Pi^(1/2)*exp(-1/2*(4*a*c+b^2)/c)/(-2*c)^(1/2)*erf((-2*c)^(1/2)*x+b/(-2*c)^(1/2))-1/16/c*exp(-2*c*x^2+2*b*x+2*a)-1/32*b/c^(3/2)*Pi^(1/2)*exp(1/2*(4*a*c+b^2)/c)*2^(1/2)*erf(-2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))","A"
22,1,90,82,0.167000," ","int(cosh(-c*x^2+b*x+a)^2,x)","\frac{x}{2}+\frac{\sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c +b^{2}}{2 c}} \erf \left(\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{8 \sqrt{-2 c}}-\frac{\sqrt{\pi}\, {\mathrm e}^{\frac{4 a c +b^{2}}{2 c}} \sqrt{2}\, \erf \left(-\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{16 \sqrt{c}}"," ",0,"1/2*x+1/8*Pi^(1/2)*exp(-1/2*(4*a*c+b^2)/c)/(-2*c)^(1/2)*erf((-2*c)^(1/2)*x+b/(-2*c)^(1/2))-1/16*Pi^(1/2)*exp(1/2*(4*a*c+b^2)/c)*2^(1/2)/c^(1/2)*erf(-2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))","A"
23,0,0,28,0.193000," ","int(cosh(-c*x^2+b*x+a)^2/x,x)","\int \frac{\cosh^{2}\left(-c \,x^{2}+b x +a \right)}{x}\, dx"," ",0,"int(cosh(-c*x^2+b*x+a)^2/x,x)","F"
24,1,77,52,0.264000," ","int(x^2*cosh(1/4+x+x^2)^2,x)","\frac{x^{3}}{6}-\frac{x \,{\mathrm e}^{-\frac{\left(1+2 x \right)^{2}}{2}}}{16}+\frac{{\mathrm e}^{-\frac{\left(1+2 x \right)^{2}}{2}}}{32}+\frac{\sqrt{\pi}\, \sqrt{2}\, \erf \left(\sqrt{2}\, x +\frac{\sqrt{2}}{2}\right)}{32}+\frac{x \,{\mathrm e}^{\frac{\left(1+2 x \right)^{2}}{2}}}{16}-\frac{{\mathrm e}^{\frac{\left(1+2 x \right)^{2}}{2}}}{32}"," ",0,"1/6*x^3-1/16*x*exp(-1/2*(1+2*x)^2)+1/32*exp(-1/2*(1+2*x)^2)+1/32*Pi^(1/2)*2^(1/2)*erf(2^(1/2)*x+1/2*2^(1/2))+1/16*x*exp(1/2*(1+2*x)^2)-1/32*exp(1/2*(1+2*x)^2)","A"
25,1,75,57,0.251000," ","int(x*cosh(1/4+x+x^2)^2,x)","\frac{x^{2}}{4}-\frac{{\mathrm e}^{-\frac{\left(1+2 x \right)^{2}}{2}}}{16}-\frac{\sqrt{\pi}\, \sqrt{2}\, \erf \left(\sqrt{2}\, x +\frac{\sqrt{2}}{2}\right)}{32}+\frac{{\mathrm e}^{\frac{\left(1+2 x \right)^{2}}{2}}}{16}+\frac{i \sqrt{\pi}\, \sqrt{2}\, \erf \left(i \sqrt{2}\, x +\frac{i \sqrt{2}}{2}\right)}{32}"," ",0,"1/4*x^2-1/16*exp(-1/2*(1+2*x)^2)-1/32*Pi^(1/2)*2^(1/2)*erf(2^(1/2)*x+1/2*2^(1/2))+1/16*exp(1/2*(1+2*x)^2)+1/32*I*Pi^(1/2)*2^(1/2)*erf(I*2^(1/2)*x+1/2*I*2^(1/2))","C"
26,1,49,42,0.233000," ","int(cosh(1/4+x+x^2)^2,x)","\frac{x}{2}+\frac{\sqrt{\pi}\, \sqrt{2}\, \erf \left(\sqrt{2}\, x +\frac{\sqrt{2}}{2}\right)}{16}-\frac{i \sqrt{\pi}\, \sqrt{2}\, \erf \left(i \sqrt{2}\, x +\frac{i \sqrt{2}}{2}\right)}{16}"," ",0,"1/2*x+1/16*Pi^(1/2)*2^(1/2)*erf(2^(1/2)*x+1/2*2^(1/2))-1/16*I*Pi^(1/2)*2^(1/2)*erf(I*2^(1/2)*x+1/2*I*2^(1/2))","C"
27,0,0,24,0.262000," ","int(cosh(1/4+x+x^2)^2/x,x)","\int \frac{\cosh^{2}\left(\frac{1}{4}+x +x^{2}\right)}{x}\, dx"," ",0,"int(cosh(1/4+x+x^2)^2/x,x)","F"
28,1,493,205,0.132000," ","int((e*x+d)^2*cosh(c*x^2+b*x+a),x)","\frac{d^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{e^{2} x \,{\mathrm e}^{-c \,x^{2}-b x -a}}{4 c}+\frac{e^{2} b \,{\mathrm e}^{-c \,x^{2}-b x -a}}{8 c^{2}}+\frac{e^{2} b^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{16 c^{\frac{5}{2}}}+\frac{e^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{8 c^{\frac{3}{2}}}-\frac{d e \,{\mathrm e}^{-c \,x^{2}-b x -a}}{2 c}-\frac{d e b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{4 c^{\frac{3}{2}}}-\frac{d^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{4 \sqrt{-c}}+\frac{e^{2} x \,{\mathrm e}^{c \,x^{2}+b x +a}}{4 c}-\frac{e^{2} b \,{\mathrm e}^{c \,x^{2}+b x +a}}{8 c^{2}}-\frac{e^{2} b^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{16 c^{2} \sqrt{-c}}+\frac{e^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{8 c \sqrt{-c}}+\frac{d e \,{\mathrm e}^{c \,x^{2}+b x +a}}{2 c}+\frac{d e b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{4 c \sqrt{-c}}"," ",0,"1/4*d^2*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)/c^(1/2)*erf(c^(1/2)*x+1/2*b/c^(1/2))-1/4*e^2/c*x*exp(-c*x^2-b*x-a)+1/8*e^2/c^2*b*exp(-c*x^2-b*x-a)+1/16*e^2*b^2/c^(5/2)*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)*erf(c^(1/2)*x+1/2*b/c^(1/2))+1/8*e^2/c^(3/2)*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)*erf(c^(1/2)*x+1/2*b/c^(1/2))-1/2*d*e/c*exp(-c*x^2-b*x-a)-1/4*d*e*b/c^(3/2)*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)*erf(c^(1/2)*x+1/2*b/c^(1/2))-1/4*d^2*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))+1/4*e^2/c*x*exp(c*x^2+b*x+a)-1/8*e^2/c^2*b*exp(c*x^2+b*x+a)-1/16*e^2/c^2*b^2*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))+1/8*e^2/c*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))+1/2*d*e/c*exp(c*x^2+b*x+a)+1/4*d*e*b/c*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))","B"
29,1,211,100,0.108000," ","int((e*x+d)*cosh(c*x^2+b*x+a),x)","\frac{d \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{4 \sqrt{c}}-\frac{e \,{\mathrm e}^{-c \,x^{2}-b x -a}}{4 c}-\frac{e b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{4 c}} \erf \left(\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right)}{8 c^{\frac{3}{2}}}-\frac{d \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{4 \sqrt{-c}}+\frac{e \,{\mathrm e}^{c \,x^{2}+b x +a}}{4 c}+\frac{e b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{4 c}} \erf \left(-\sqrt{-c}\, x +\frac{b}{2 \sqrt{-c}}\right)}{8 c \sqrt{-c}}"," ",0,"1/4*d*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)/c^(1/2)*erf(c^(1/2)*x+1/2*b/c^(1/2))-1/4*e/c*exp(-c*x^2-b*x-a)-1/8*e*b/c^(3/2)*Pi^(1/2)*exp(-1/4*(4*a*c-b^2)/c)*erf(c^(1/2)*x+1/2*b/c^(1/2))-1/4*d*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))+1/4*e/c*exp(c*x^2+b*x+a)+1/8*e*b/c*Pi^(1/2)*exp(1/4*(4*a*c-b^2)/c)/(-c)^(1/2)*erf(-(-c)^(1/2)*x+1/2*b/(-c)^(1/2))","B"
30,0,0,21,0.173000," ","int(cosh(c*x^2+b*x+a)/(e*x+d),x)","\int \frac{\cosh \left(c \,x^{2}+b x +a \right)}{e x +d}\, dx"," ",0,"int(cosh(c*x^2+b*x+a)/(e*x+d),x)","F"
31,1,558,253,0.237000," ","int((e*x+d)^2*cosh(c*x^2+b*x+a)^2,x)","\frac{e^{2} x^{3}}{6}+\frac{d e \,x^{2}}{2}+\frac{d^{2} x}{2}+\frac{d^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{16 \sqrt{c}}-\frac{e^{2} x \,{\mathrm e}^{-2 c \,x^{2}-2 b x -2 a}}{16 c}+\frac{e^{2} b \,{\mathrm e}^{-2 c \,x^{2}-2 b x -2 a}}{32 c^{2}}+\frac{e^{2} b^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{64 c^{\frac{5}{2}}}+\frac{e^{2} \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{64 c^{\frac{3}{2}}}-\frac{d e \,{\mathrm e}^{-2 c \,x^{2}-2 b x -2 a}}{8 c}-\frac{d e b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{16 c^{\frac{3}{2}}}-\frac{d^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{8 \sqrt{-2 c}}+\frac{e^{2} x \,{\mathrm e}^{2 c \,x^{2}+2 b x +2 a}}{16 c}-\frac{e^{2} b \,{\mathrm e}^{2 c \,x^{2}+2 b x +2 a}}{32 c^{2}}-\frac{e^{2} b^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{32 c^{2} \sqrt{-2 c}}+\frac{e^{2} \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{32 c \sqrt{-2 c}}+\frac{d e \,{\mathrm e}^{2 c \,x^{2}+2 b x +2 a}}{8 c}+\frac{d e b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{8 c \sqrt{-2 c}}"," ",0,"1/6*e^2*x^3+1/2*d*e*x^2+1/2*d^2*x+1/16*d^2*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)/c^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))-1/16*e^2/c*x*exp(-2*c*x^2-2*b*x-2*a)+1/32*e^2/c^2*b*exp(-2*c*x^2-2*b*x-2*a)+1/64*e^2*b^2/c^(5/2)*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))+1/64*e^2/c^(3/2)*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))-1/8*d*e/c*exp(-2*c*x^2-2*b*x-2*a)-1/16*d*e*b/c^(3/2)*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))-1/8*d^2*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))+1/16*e^2/c*x*exp(2*c*x^2+2*b*x+2*a)-1/32*e^2/c^2*b*exp(2*c*x^2+2*b*x+2*a)-1/32*e^2/c^2*b^2*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))+1/32*e^2/c*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))+1/8*d*e/c*exp(2*c*x^2+2*b*x+2*a)+1/8*d*e*b/c*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))","B"
32,1,241,130,0.223000," ","int((e*x+d)*cosh(c*x^2+b*x+a)^2,x)","\frac{e \,x^{2}}{4}+\frac{d x}{2}+\frac{d \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{16 \sqrt{c}}-\frac{e \,{\mathrm e}^{-2 c \,x^{2}-2 b x -2 a}}{16 c}-\frac{e b \sqrt{\pi}\, {\mathrm e}^{-\frac{4 a c -b^{2}}{2 c}} \sqrt{2}\, \erf \left(\sqrt{2}\, \sqrt{c}\, x +\frac{b \sqrt{2}}{2 \sqrt{c}}\right)}{32 c^{\frac{3}{2}}}-\frac{d \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{8 \sqrt{-2 c}}+\frac{e \,{\mathrm e}^{2 c \,x^{2}+2 b x +2 a}}{16 c}+\frac{e b \sqrt{\pi}\, {\mathrm e}^{\frac{4 a c -b^{2}}{2 c}} \erf \left(-\sqrt{-2 c}\, x +\frac{b}{\sqrt{-2 c}}\right)}{16 c \sqrt{-2 c}}"," ",0,"1/4*e*x^2+1/2*d*x+1/16*d*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)/c^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))-1/16*e/c*exp(-2*c*x^2-2*b*x-2*a)-1/32*e*b/c^(3/2)*Pi^(1/2)*exp(-1/2*(4*a*c-b^2)/c)*2^(1/2)*erf(2^(1/2)*c^(1/2)*x+1/2*b*2^(1/2)/c^(1/2))-1/8*d*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))+1/16*e/c*exp(2*c*x^2+2*b*x+2*a)+1/16*e*b/c*Pi^(1/2)*exp(1/2*(4*a*c-b^2)/c)/(-2*c)^(1/2)*erf(-(-2*c)^(1/2)*x+b/(-2*c)^(1/2))","A"
33,0,0,39,0.288000," ","int(cosh(c*x^2+b*x+a)^2/(e*x+d),x)","\int \frac{\cosh^{2}\left(c \,x^{2}+b x +a \right)}{e x +d}\, dx"," ",0,"int(cosh(c*x^2+b*x+a)^2/(e*x+d),x)","F"