1,1,163,0,0.146763," ","integrate(x^2*cosh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} {\left(b^{2} + 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(-c x^{2} - b x - a\right)}}{16 \, c^{2}} - \frac{\frac{\sqrt{\pi} {\left(b^{2} - 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{\sqrt{-c}} - 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(c x^{2} + b x + a\right)}}{16 \, c^{2}}"," ",0,"-1/16*(sqrt(pi)*(b^2 + 2*c)*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c)/c)/sqrt(c) + 2*(c*(2*x + b/c) - 2*b)*e^(-c*x^2 - b*x - a))/c^2 - 1/16*(sqrt(pi)*(b^2 - 2*c)*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c)/c)/sqrt(-c) - 2*(c*(2*x + b/c) - 2*b)*e^(c*x^2 + b*x + a))/c^2","A",0
2,1,121,0,0.121822," ","integrate(x*cosh(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{\sqrt{c}} - 2 \, e^{\left(-c x^{2} - b x - a\right)}}{8 \, c} + \frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{\sqrt{-c}} + 2 \, e^{\left(c x^{2} + b x + a\right)}}{8 \, c}"," ",0,"1/8*(sqrt(pi)*b*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c)/c)/sqrt(c) - 2*e^(-c*x^2 - b*x - a))/c + 1/8*(sqrt(pi)*b*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c)/c)/sqrt(-c) + 2*e^(c*x^2 + b*x + a))/c","A",0
3,1,79,0,0.148786," ","integrate(cosh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{c}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{-c}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c)/c)/sqrt(c) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c)/c)/sqrt(-c)","A",0
4,0,0,0,0.000000," ","integrate(cosh(c*x^2+b*x+a)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(c x^{2} + b x + a\right)}{x}\,{d x}"," ",0,"integrate(cosh(c*x^2 + b*x + a)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(cosh(c*x^2+b*x+a)/x^2-b*sinh(c*x^2+b*x+a)/x,x, algorithm=""giac"")","\int -\frac{b \sinh\left(c x^{2} + b x + a\right)}{x} + \frac{\cosh\left(c x^{2} + b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(-b*sinh(c*x^2 + b*x + a)/x + cosh(c*x^2 + b*x + a)/x^2, x)","F",0
6,1,167,0,0.127036," ","integrate(x^2*cosh(-c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} {\left(b^{2} + 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c {\left(2 \, x - \frac{b}{c}\right)} + 2 \, b\right)} e^{\left(-c x^{2} + b x + a\right)}}{16 \, c^{2}} - \frac{\frac{\sqrt{\pi} {\left(b^{2} - 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{\sqrt{-c}} - 2 \, {\left(c {\left(2 \, x - \frac{b}{c}\right)} + 2 \, b\right)} e^{\left(c x^{2} - b x - a\right)}}{16 \, c^{2}}"," ",0,"-1/16*(sqrt(pi)*(b^2 + 2*c)*erf(-1/2*sqrt(c)*(2*x - b/c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c) + 2*(c*(2*x - b/c) + 2*b)*e^(-c*x^2 + b*x + a))/c^2 - 1/16*(sqrt(pi)*(b^2 - 2*c)*erf(-1/2*sqrt(-c)*(2*x - b/c))*e^(-1/4*(b^2 + 4*a*c)/c)/sqrt(-c) - 2*(c*(2*x - b/c) + 2*b)*e^(c*x^2 - b*x - a))/c^2","A",0
7,1,123,0,0.124793," ","integrate(x*cosh(-c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{\sqrt{c}} + 2 \, e^{\left(-c x^{2} + b x + a\right)}}{8 \, c} - \frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{\sqrt{-c}} - 2 \, e^{\left(c x^{2} - b x - a\right)}}{8 \, c}"," ",0,"-1/8*(sqrt(pi)*b*erf(-1/2*sqrt(c)*(2*x - b/c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c) + 2*e^(-c*x^2 + b*x + a))/c - 1/8*(sqrt(pi)*b*erf(-1/2*sqrt(-c)*(2*x - b/c))*e^(-1/4*(b^2 + 4*a*c)/c)/sqrt(-c) - 2*e^(c*x^2 - b*x - a))/c","A",0
8,1,81,0,0.116615," ","integrate(cosh(-c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{c}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{-c}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(c)*(2*x - b/c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c)*(2*x - b/c))*e^(-1/4*(b^2 + 4*a*c)/c)/sqrt(-c)","A",0
9,0,0,0,0.000000," ","integrate(cosh(-c*x^2+b*x+a)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(-c x^{2} + b x + a\right)}{x}\,{d x}"," ",0,"integrate(cosh(-c*x^2 + b*x + a)/x, x)","F",0
10,0,0,0,0.000000," ","integrate(cosh(-c*x^2+b*x+a)/x^2-b*sinh(-c*x^2+b*x+a)/x,x, algorithm=""giac"")","\int -\frac{b \sinh\left(-c x^{2} + b x + a\right)}{x} + \frac{\cosh\left(-c x^{2} + b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(-b*sinh(-c*x^2 + b*x + a)/x + cosh(-c*x^2 + b*x + a)/x^2, x)","F",0
11,1,53,0,0.126861," ","integrate(x^2*cosh(1/4+x+x^2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, x - 1\right)} e^{\left(x^{2} + x + \frac{1}{4}\right)} - \frac{1}{8} \, {\left(2 \, x - 1\right)} e^{\left(-x^{2} - x - \frac{1}{4}\right)} + \frac{3}{16} \, \sqrt{\pi} \operatorname{erf}\left(x + \frac{1}{2}\right) - \frac{1}{16} i \, \sqrt{\pi} \operatorname{erf}\left(-i \, x - \frac{1}{2} i\right)"," ",0,"1/8*(2*x - 1)*e^(x^2 + x + 1/4) - 1/8*(2*x - 1)*e^(-x^2 - x - 1/4) + 3/16*sqrt(pi)*erf(x + 1/2) - 1/16*I*sqrt(pi)*erf(-I*x - 1/2*I)","C",0
12,1,43,0,0.141282," ","integrate(x*cosh(1/4+x+x^2),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{\pi} \operatorname{erf}\left(x + \frac{1}{2}\right) - \frac{1}{8} i \, \sqrt{\pi} \operatorname{erf}\left(-i \, x - \frac{1}{2} i\right) + \frac{1}{4} \, e^{\left(x^{2} + x + \frac{1}{4}\right)} - \frac{1}{4} \, e^{\left(-x^{2} - x - \frac{1}{4}\right)}"," ",0,"-1/8*sqrt(pi)*erf(x + 1/2) - 1/8*I*sqrt(pi)*erf(-I*x - 1/2*I) + 1/4*e^(x^2 + x + 1/4) - 1/4*e^(-x^2 - x - 1/4)","C",0
13,1,21,0,0.124246," ","integrate(cosh(1/4+x+x^2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{\pi} \operatorname{erf}\left(x + \frac{1}{2}\right) + \frac{1}{4} i \, \sqrt{\pi} \operatorname{erf}\left(-i \, x - \frac{1}{2} i\right)"," ",0,"1/4*sqrt(pi)*erf(x + 1/2) + 1/4*I*sqrt(pi)*erf(-I*x - 1/2*I)","C",0
14,0,0,0,0.000000," ","integrate(cosh(1/4+x+x^2)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(x^{2} + x + \frac{1}{4}\right)}{x}\,{d x}"," ",0,"integrate(cosh(x^2 + x + 1/4)/x, x)","F",0
15,0,0,0,0.000000," ","integrate(cosh(1/4+x+x^2)/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(x^{2} + x + \frac{1}{4}\right)}{x^{2}}\,{d x}"," ",0,"integrate(cosh(x^2 + x + 1/4)/x^2, x)","F",0
16,1,182,0,0.154529," ","integrate(x^2*cosh(c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} - \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(b^{2} + c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(-2 \, c x^{2} - 2 \, b x - 2 \, a\right)}}{64 \, c^{2}} - \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(b^{2} - c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{\sqrt{-c}} - 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(2 \, c x^{2} + 2 \, b x + 2 \, a\right)}}{64 \, c^{2}}"," ",0,"1/6*x^3 - 1/64*(sqrt(2)*sqrt(pi)*(b^2 + c)*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c)/c)/sqrt(c) + 2*(c*(2*x + b/c) - 2*b)*e^(-2*c*x^2 - 2*b*x - 2*a))/c^2 - 1/64*(sqrt(2)*sqrt(pi)*(b^2 - c)*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c)/c)/sqrt(-c) - 2*(c*(2*x + b/c) - 2*b)*e^(2*c*x^2 + 2*b*x + 2*a))/c^2","A",0
17,1,142,0,0.147874," ","integrate(x*cosh(c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{2} + \frac{\frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{\sqrt{c}} - 2 \, e^{\left(-2 \, c x^{2} - 2 \, b x - 2 \, a\right)}}{32 \, c} + \frac{\frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{\sqrt{-c}} + 2 \, e^{\left(2 \, c x^{2} + 2 \, b x + 2 \, a\right)}}{32 \, c}"," ",0,"1/4*x^2 + 1/32*(sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c)/c)/sqrt(c) - 2*e^(-2*c*x^2 - 2*b*x - 2*a))/c + 1/32*(sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c)/c)/sqrt(-c) + 2*e^(2*c*x^2 + 2*b*x + 2*a))/c","A",0
18,1,94,0,0.126122," ","integrate(cosh(c*x^2+b*x+a)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{c}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{-c}} + \frac{1}{2} \, x"," ",0,"-1/16*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c)/c)/sqrt(c) - 1/16*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c)/c)/sqrt(-c) + 1/2*x","A",0
19,0,0,0,0.000000," ","integrate(cosh(c*x^2+b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\cosh\left(c x^{2} + b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(cosh(c*x^2 + b*x + a)^2/x, x)","F",0
20,1,186,0,0.158320," ","integrate(x^2*cosh(-c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} - \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(b^{2} + c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c {\left(2 \, x - \frac{b}{c}\right)} + 2 \, b\right)} e^{\left(-2 \, c x^{2} + 2 \, b x + 2 \, a\right)}}{64 \, c^{2}} - \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(b^{2} - c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} + 4 \, a c}{2 \, c}\right)}}{\sqrt{-c}} - 2 \, {\left(c {\left(2 \, x - \frac{b}{c}\right)} + 2 \, b\right)} e^{\left(2 \, c x^{2} - 2 \, b x - 2 \, a\right)}}{64 \, c^{2}}"," ",0,"1/6*x^3 - 1/64*(sqrt(2)*sqrt(pi)*(b^2 + c)*erf(-1/2*sqrt(2)*sqrt(c)*(2*x - b/c))*e^(1/2*(b^2 + 4*a*c)/c)/sqrt(c) + 2*(c*(2*x - b/c) + 2*b)*e^(-2*c*x^2 + 2*b*x + 2*a))/c^2 - 1/64*(sqrt(2)*sqrt(pi)*(b^2 - c)*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x - b/c))*e^(-1/2*(b^2 + 4*a*c)/c)/sqrt(-c) - 2*(c*(2*x - b/c) + 2*b)*e^(2*c*x^2 - 2*b*x - 2*a))/c^2","A",0
21,1,144,0,0.152171," ","integrate(x*cosh(-c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{2} - \frac{\frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)}}{\sqrt{c}} + 2 \, e^{\left(-2 \, c x^{2} + 2 \, b x + 2 \, a\right)}}{32 \, c} - \frac{\frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} + 4 \, a c}{2 \, c}\right)}}{\sqrt{-c}} - 2 \, e^{\left(2 \, c x^{2} - 2 \, b x - 2 \, a\right)}}{32 \, c}"," ",0,"1/4*x^2 - 1/32*(sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*sqrt(c)*(2*x - b/c))*e^(1/2*(b^2 + 4*a*c)/c)/sqrt(c) + 2*e^(-2*c*x^2 + 2*b*x + 2*a))/c - 1/32*(sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x - b/c))*e^(-1/2*(b^2 + 4*a*c)/c)/sqrt(-c) - 2*e^(2*c*x^2 - 2*b*x - 2*a))/c","A",0
22,1,96,0,0.144094," ","integrate(cosh(-c*x^2+b*x+a)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{c}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} + 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{-c}} + \frac{1}{2} \, x"," ",0,"-1/16*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(c)*(2*x - b/c))*e^(1/2*(b^2 + 4*a*c)/c)/sqrt(c) - 1/16*sqrt(2)*sqrt(pi)*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x - b/c))*e^(-1/2*(b^2 + 4*a*c)/c)/sqrt(-c) + 1/2*x","A",0
23,0,0,0,0.000000," ","integrate(cosh(-c*x^2+b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\cosh\left(-c x^{2} + b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(cosh(-c*x^2 + b*x + a)^2/x, x)","F",0
24,1,61,0,0.132641," ","integrate(x^2*cosh(1/4+x+x^2)^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} + \frac{1}{32} \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) + \frac{1}{32} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)} - \frac{1}{32} \, {\left(2 \, x - 1\right)} e^{\left(-2 \, x^{2} - 2 \, x - \frac{1}{2}\right)}"," ",0,"1/6*x^3 + 1/32*sqrt(2)*sqrt(pi)*erf(1/2*sqrt(2)*(2*x + 1)) + 1/32*(2*x - 1)*e^(2*x^2 + 2*x + 1/2) - 1/32*(2*x - 1)*e^(-2*x^2 - 2*x - 1/2)","A",0
25,1,70,0,0.136258," ","integrate(x*cosh(1/4+x+x^2)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{2} - \frac{1}{32} \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) - \frac{1}{32} i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} i \, \sqrt{2} {\left(2 \, x + 1\right)}\right) + \frac{1}{16} \, e^{\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)} - \frac{1}{16} \, e^{\left(-2 \, x^{2} - 2 \, x - \frac{1}{2}\right)}"," ",0,"1/4*x^2 - 1/32*sqrt(2)*sqrt(pi)*erf(1/2*sqrt(2)*(2*x + 1)) - 1/32*I*sqrt(2)*sqrt(pi)*erf(-1/2*I*sqrt(2)*(2*x + 1)) + 1/16*e^(2*x^2 + 2*x + 1/2) - 1/16*e^(-2*x^2 - 2*x - 1/2)","C",0
26,1,42,0,0.134337," ","integrate(cosh(1/4+x+x^2)^2,x, algorithm=""giac"")","\frac{1}{16} \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) + \frac{1}{16} i \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} i \, \sqrt{2} {\left(2 \, x + 1\right)}\right) + \frac{1}{2} \, x"," ",0,"1/16*sqrt(2)*sqrt(pi)*erf(1/2*sqrt(2)*(2*x + 1)) + 1/16*I*sqrt(2)*sqrt(pi)*erf(-1/2*I*sqrt(2)*(2*x + 1)) + 1/2*x","C",0
27,0,0,0,0.000000," ","integrate(cosh(1/4+x+x^2)^2/x,x, algorithm=""giac"")","\int \frac{\cosh\left(x^{2} + x + \frac{1}{4}\right)^{2}}{x}\,{d x}"," ",0,"integrate(cosh(x^2 + x + 1/4)^2/x, x)","F",0
28,1,387,0,0.142583," ","integrate((e*x+d)^2*cosh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{c}} - \frac{\sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{-c}} + \frac{\frac{\sqrt{\pi} b d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 4 \, c}{4 \, c}\right)}}{\sqrt{c}} - 2 \, d e^{\left(-c x^{2} - b x - a + 1\right)}}{4 \, c} + \frac{\frac{\sqrt{\pi} b d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 4 \, c}{4 \, c}\right)}}{\sqrt{-c}} + 2 \, d e^{\left(c x^{2} + b x + a + 1\right)}}{4 \, c} - \frac{\frac{\sqrt{\pi} {\left(b^{2} + 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 8 \, c}{4 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(-c x^{2} - b x - a + 2\right)}}{16 \, c^{2}} - \frac{\frac{\sqrt{\pi} {\left(b^{2} - 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 8 \, c}{4 \, c}\right)}}{\sqrt{-c}} - 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(c x^{2} + b x + a + 2\right)}}{16 \, c^{2}}"," ",0,"-1/4*sqrt(pi)*d^2*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c)/c)/sqrt(c) - 1/4*sqrt(pi)*d^2*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c)/c)/sqrt(-c) + 1/4*(sqrt(pi)*b*d*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c + 4*c)/c)/sqrt(c) - 2*d*e^(-c*x^2 - b*x - a + 1))/c + 1/4*(sqrt(pi)*b*d*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c - 4*c)/c)/sqrt(-c) + 2*d*e^(c*x^2 + b*x + a + 1))/c - 1/16*(sqrt(pi)*(b^2 + 2*c)*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c + 8*c)/c)/sqrt(c) + 2*(c*(2*x + b/c) - 2*b)*e^(-c*x^2 - b*x - a + 2))/c^2 - 1/16*(sqrt(pi)*(b^2 - 2*c)*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c - 8*c)/c)/sqrt(-c) - 2*(c*(2*x + b/c) - 2*b)*e^(c*x^2 + b*x + a + 2))/c^2","A",0
29,1,209,0,0.127782," ","integrate((e*x+d)*cosh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{c}} - \frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)}}{4 \, \sqrt{-c}} + \frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 4 \, c}{4 \, c}\right)}}{\sqrt{c}} - 2 \, e^{\left(-c x^{2} - b x - a + 1\right)}}{8 \, c} + \frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 4 \, c}{4 \, c}\right)}}{\sqrt{-c}} + 2 \, e^{\left(c x^{2} + b x + a + 1\right)}}{8 \, c}"," ",0,"-1/4*sqrt(pi)*d*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c)/c)/sqrt(c) - 1/4*sqrt(pi)*d*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c)/c)/sqrt(-c) + 1/8*(sqrt(pi)*b*erf(-1/2*sqrt(c)*(2*x + b/c))*e^(1/4*(b^2 - 4*a*c + 4*c)/c)/sqrt(c) - 2*e^(-c*x^2 - b*x - a + 1))/c + 1/8*(sqrt(pi)*b*erf(-1/2*sqrt(-c)*(2*x + b/c))*e^(-1/4*(b^2 - 4*a*c - 4*c)/c)/sqrt(-c) + 2*e^(c*x^2 + b*x + a + 1))/c","B",0
30,0,0,0,0.000000," ","integrate(cosh(c*x^2+b*x+a)/(e*x+d),x, algorithm=""giac"")","\int \frac{\cosh\left(c x^{2} + b x + a\right)}{e x + d}\,{d x}"," ",0,"integrate(cosh(c*x^2 + b*x + a)/(e*x + d), x)","F",0
31,1,450,0,0.150351," ","integrate((e*x+d)^2*cosh(c*x^2+b*x+a)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{c}} - \frac{\sqrt{2} \sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{-c}} + \frac{1}{6} \, x^{3} e^{2} + \frac{1}{2} \, d x^{2} e + \frac{1}{2} \, d^{2} x + \frac{\frac{\sqrt{2} \sqrt{\pi} b d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 2 \, c}{2 \, c}\right)}}{\sqrt{c}} - 2 \, d e^{\left(-2 \, c x^{2} - 2 \, b x - 2 \, a + 1\right)}}{16 \, c} + \frac{\frac{\sqrt{2} \sqrt{\pi} b d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 2 \, c}{2 \, c}\right)}}{\sqrt{-c}} + 2 \, d e^{\left(2 \, c x^{2} + 2 \, b x + 2 \, a + 1\right)}}{16 \, c} - \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(b^{2} + c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 4 \, c}{2 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(-2 \, c x^{2} - 2 \, b x - 2 \, a + 2\right)}}{64 \, c^{2}} - \frac{\frac{\sqrt{2} \sqrt{\pi} {\left(b^{2} - c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 4 \, c}{2 \, c}\right)}}{\sqrt{-c}} - 2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(2 \, c x^{2} + 2 \, b x + 2 \, a + 2\right)}}{64 \, c^{2}}"," ",0,"-1/16*sqrt(2)*sqrt(pi)*d^2*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c)/c)/sqrt(c) - 1/16*sqrt(2)*sqrt(pi)*d^2*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c)/c)/sqrt(-c) + 1/6*x^3*e^2 + 1/2*d*x^2*e + 1/2*d^2*x + 1/16*(sqrt(2)*sqrt(pi)*b*d*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c + 2*c)/c)/sqrt(c) - 2*d*e^(-2*c*x^2 - 2*b*x - 2*a + 1))/c + 1/16*(sqrt(2)*sqrt(pi)*b*d*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c - 2*c)/c)/sqrt(-c) + 2*d*e^(2*c*x^2 + 2*b*x + 2*a + 1))/c - 1/64*(sqrt(2)*sqrt(pi)*(b^2 + c)*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c + 4*c)/c)/sqrt(c) + 2*(c*(2*x + b/c) - 2*b)*e^(-2*c*x^2 - 2*b*x - 2*a + 2))/c^2 - 1/64*(sqrt(2)*sqrt(pi)*(b^2 - c)*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c - 4*c)/c)/sqrt(-c) - 2*(c*(2*x + b/c) - 2*b)*e^(2*c*x^2 + 2*b*x + 2*a + 2))/c^2","A",0
32,1,248,0,0.145508," ","integrate((e*x+d)*cosh(c*x^2+b*x+a)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{c}} - \frac{\sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)}}{16 \, \sqrt{-c}} + \frac{1}{4} \, x^{2} e + \frac{1}{2} \, d x + \frac{\frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 2 \, c}{2 \, c}\right)}}{\sqrt{c}} - 2 \, e^{\left(-2 \, c x^{2} - 2 \, b x - 2 \, a + 1\right)}}{32 \, c} + \frac{\frac{\sqrt{2} \sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{2} \sqrt{-c} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 2 \, c}{2 \, c}\right)}}{\sqrt{-c}} + 2 \, e^{\left(2 \, c x^{2} + 2 \, b x + 2 \, a + 1\right)}}{32 \, c}"," ",0,"-1/16*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c)/c)/sqrt(c) - 1/16*sqrt(2)*sqrt(pi)*d*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c)/c)/sqrt(-c) + 1/4*x^2*e + 1/2*d*x + 1/32*(sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*sqrt(c)*(2*x + b/c))*e^(1/2*(b^2 - 4*a*c + 2*c)/c)/sqrt(c) - 2*e^(-2*c*x^2 - 2*b*x - 2*a + 1))/c + 1/32*(sqrt(2)*sqrt(pi)*b*erf(-1/2*sqrt(2)*sqrt(-c)*(2*x + b/c))*e^(-1/2*(b^2 - 4*a*c - 2*c)/c)/sqrt(-c) + 2*e^(2*c*x^2 + 2*b*x + 2*a + 1))/c","A",0
33,0,0,0,0.000000," ","integrate(cosh(c*x^2+b*x+a)^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\cosh\left(c x^{2} + b x + a\right)^{2}}{e x + d}\,{d x}"," ",0,"integrate(cosh(c*x^2 + b*x + a)^2/(e*x + d), x)","F",0
