1,1,430,0,0.553642," ","integrate(x^2*sinh(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{4 \, c^{2} x + 2 \, {\left(2 \, c^{2} x - b c\right)} \cosh\left(c x^{2} + b x + a\right)^{2} - \sqrt{\pi} {\left({\left(b^{2} - 2 \, c\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(b^{2} - 2 \, c\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(b^{2} - 2 \, c\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(b^{2} - 2 \, c\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} {\left({\left(b^{2} + 2 \, c\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - {\left(b^{2} + 2 \, c\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(b^{2} + 2 \, c\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - {\left(b^{2} + 2 \, c\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x + b}{2 \, \sqrt{c}}\right) + 4 \, {\left(2 \, c^{2} x - b c\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + 2 \, {\left(2 \, c^{2} x - b c\right)} \sinh\left(c x^{2} + b x + a\right)^{2} - 2 \, b c}{16 \, {\left(c^{3} \cosh\left(c x^{2} + b x + a\right) + c^{3} \sinh\left(c x^{2} + b x + a\right)\right)}}"," ",0,"1/16*(4*c^2*x + 2*(2*c^2*x - b*c)*cosh(c*x^2 + b*x + a)^2 - sqrt(pi)*((b^2 - 2*c)*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) + (b^2 - 2*c)*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + ((b^2 - 2*c)*cosh(-1/4*(b^2 - 4*a*c)/c) + (b^2 - 2*c)*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*(2*c*x + b)*sqrt(-c)/c) - sqrt(pi)*((b^2 + 2*c)*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) - (b^2 + 2*c)*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + ((b^2 + 2*c)*cosh(-1/4*(b^2 - 4*a*c)/c) - (b^2 + 2*c)*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*(2*c*x + b)/sqrt(c)) + 4*(2*c^2*x - b*c)*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + 2*(2*c^2*x - b*c)*sinh(c*x^2 + b*x + a)^2 - 2*b*c)/(c^3*cosh(c*x^2 + b*x + a) + c^3*sinh(c*x^2 + b*x + a))","B",0
2,1,343,0,0.582263," ","integrate(x*sinh(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{2 \, c \cosh\left(c x^{2} + b x + a\right)^{2} + \sqrt{\pi} {\left(b \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + b \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(b \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + b \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) + \sqrt{\pi} {\left(b \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - b \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(b \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - b \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x + b}{2 \, \sqrt{c}}\right) + 4 \, c \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + 2 \, c \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, c}{8 \, {\left(c^{2} \cosh\left(c x^{2} + b x + a\right) + c^{2} \sinh\left(c x^{2} + b x + a\right)\right)}}"," ",0,"1/8*(2*c*cosh(c*x^2 + b*x + a)^2 + sqrt(pi)*(b*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) + b*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + (b*cosh(-1/4*(b^2 - 4*a*c)/c) + b*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*(2*c*x + b)*sqrt(-c)/c) + sqrt(pi)*(b*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) - b*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + (b*cosh(-1/4*(b^2 - 4*a*c)/c) - b*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*(2*c*x + b)/sqrt(c)) + 4*c*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + 2*c*sinh(c*x^2 + b*x + a)^2 + 2*c)/(c^2*cosh(c*x^2 + b*x + a) + c^2*sinh(c*x^2 + b*x + a))","B",0
3,1,111,0,0.446124," ","integrate(sinh(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) + \sqrt{\pi} \sqrt{c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 \, c x + b}{2 \, \sqrt{c}}\right)}{4 \, c}"," ",0,"-1/4*(sqrt(pi)*sqrt(-c)*(cosh(-1/4*(b^2 - 4*a*c)/c) + sinh(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*c*x + b)*sqrt(-c)/c) + sqrt(pi)*sqrt(c)*(cosh(-1/4*(b^2 - 4*a*c)/c) - sinh(-1/4*(b^2 - 4*a*c)/c))*erf(1/2*(2*c*x + b)/sqrt(c)))/c","A",0
4,0,0,0,0.576272," ","integrate(sinh(c*x^2+b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(c x^{2} + b x + a\right)}{x}, x\right)"," ",0,"integral(sinh(c*x^2 + b*x + a)/x, x)","F",0
5,1,331,0,0.606694," ","integrate(-b*cosh(c*x^2+b*x+a)/x+sinh(c*x^2+b*x+a)/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(x \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + x \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(x \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + x \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} {\left(x \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - x \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(x \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - x \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x + b}{2 \, \sqrt{c}}\right) + \cosh\left(c x^{2} + b x + a\right)^{2} + 2 \, \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + \sinh\left(c x^{2} + b x + a\right)^{2} - 1}{2 \, {\left(x \cosh\left(c x^{2} + b x + a\right) + x \sinh\left(c x^{2} + b x + a\right)\right)}}"," ",0,"-1/2*(sqrt(pi)*(x*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) + x*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + (x*cosh(-1/4*(b^2 - 4*a*c)/c) + x*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*(2*c*x + b)*sqrt(-c)/c) - sqrt(pi)*(x*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) - x*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + (x*cosh(-1/4*(b^2 - 4*a*c)/c) - x*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*(2*c*x + b)/sqrt(c)) + cosh(c*x^2 + b*x + a)^2 + 2*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + sinh(c*x^2 + b*x + a)^2 - 1)/(x*cosh(c*x^2 + b*x + a) + x*sinh(c*x^2 + b*x + a))","B",0
6,1,467,0,0.507421," ","integrate(x^2*sinh(-c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{4 \, c^{2} x + 2 \, {\left(2 \, c^{2} x + b c\right)} \cosh\left(c x^{2} - b x - a\right)^{2} - \sqrt{\pi} {\left({\left(b^{2} - 2 \, c\right)} \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - {\left(b^{2} - 2 \, c\right)} \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left({\left(b^{2} - 2 \, c\right)} \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - {\left(b^{2} - 2 \, c\right)} \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} {\left({\left(b^{2} + 2 \, c\right)} \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(b^{2} + 2 \, c\right)} \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left({\left(b^{2} + 2 \, c\right)} \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(b^{2} + 2 \, c\right)} \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right) + 4 \, {\left(2 \, c^{2} x + b c\right)} \cosh\left(c x^{2} - b x - a\right) \sinh\left(c x^{2} - b x - a\right) + 2 \, {\left(2 \, c^{2} x + b c\right)} \sinh\left(c x^{2} - b x - a\right)^{2} + 2 \, b c}{16 \, {\left(c^{3} \cosh\left(c x^{2} - b x - a\right) + c^{3} \sinh\left(c x^{2} - b x - a\right)\right)}}"," ",0,"-1/16*(4*c^2*x + 2*(2*c^2*x + b*c)*cosh(c*x^2 - b*x - a)^2 - sqrt(pi)*((b^2 - 2*c)*cosh(c*x^2 - b*x - a)*cosh(1/4*(b^2 + 4*a*c)/c) - (b^2 - 2*c)*cosh(c*x^2 - b*x - a)*sinh(1/4*(b^2 + 4*a*c)/c) + ((b^2 - 2*c)*cosh(1/4*(b^2 + 4*a*c)/c) - (b^2 - 2*c)*sinh(1/4*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(-c)*erf(1/2*(2*c*x - b)*sqrt(-c)/c) - sqrt(pi)*((b^2 + 2*c)*cosh(c*x^2 - b*x - a)*cosh(1/4*(b^2 + 4*a*c)/c) + (b^2 + 2*c)*cosh(c*x^2 - b*x - a)*sinh(1/4*(b^2 + 4*a*c)/c) + ((b^2 + 2*c)*cosh(1/4*(b^2 + 4*a*c)/c) + (b^2 + 2*c)*sinh(1/4*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(c)*erf(1/2*(2*c*x - b)/sqrt(c)) + 4*(2*c^2*x + b*c)*cosh(c*x^2 - b*x - a)*sinh(c*x^2 - b*x - a) + 2*(2*c^2*x + b*c)*sinh(c*x^2 - b*x - a)^2 + 2*b*c)/(c^3*cosh(c*x^2 - b*x - a) + c^3*sinh(c*x^2 - b*x - a))","B",0
7,1,385,0,0.606336," ","integrate(x*sinh(-c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{2 \, c \cosh\left(c x^{2} - b x - a\right)^{2} - \sqrt{\pi} {\left(b \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - b \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(b \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - b \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} {\left(b \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + b \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(b \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + b \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right) + 4 \, c \cosh\left(c x^{2} - b x - a\right) \sinh\left(c x^{2} - b x - a\right) + 2 \, c \sinh\left(c x^{2} - b x - a\right)^{2} + 2 \, c}{8 \, {\left(c^{2} \cosh\left(c x^{2} - b x - a\right) + c^{2} \sinh\left(c x^{2} - b x - a\right)\right)}}"," ",0,"-1/8*(2*c*cosh(c*x^2 - b*x - a)^2 - sqrt(pi)*(b*cosh(c*x^2 - b*x - a)*cosh(1/4*(b^2 + 4*a*c)/c) - b*cosh(c*x^2 - b*x - a)*sinh(1/4*(b^2 + 4*a*c)/c) + (b*cosh(1/4*(b^2 + 4*a*c)/c) - b*sinh(1/4*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(-c)*erf(1/2*(2*c*x - b)*sqrt(-c)/c) - sqrt(pi)*(b*cosh(c*x^2 - b*x - a)*cosh(1/4*(b^2 + 4*a*c)/c) + b*cosh(c*x^2 - b*x - a)*sinh(1/4*(b^2 + 4*a*c)/c) + (b*cosh(1/4*(b^2 + 4*a*c)/c) + b*sinh(1/4*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(c)*erf(1/2*(2*c*x - b)/sqrt(c)) + 4*c*cosh(c*x^2 - b*x - a)*sinh(c*x^2 - b*x - a) + 2*c*sinh(c*x^2 - b*x - a)^2 + 2*c)/(c^2*cosh(c*x^2 - b*x - a) + c^2*sinh(c*x^2 - b*x - a))","B",0
8,1,115,0,0.474330," ","integrate(sinh(-c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{-c} {\left(\cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{-c}}{2 \, c}\right) + \sqrt{\pi} \sqrt{c} {\left(\cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right)}{4 \, c}"," ",0,"1/4*(sqrt(pi)*sqrt(-c)*(cosh(1/4*(b^2 + 4*a*c)/c) - sinh(1/4*(b^2 + 4*a*c)/c))*erf(1/2*(2*c*x - b)*sqrt(-c)/c) + sqrt(pi)*sqrt(c)*(cosh(1/4*(b^2 + 4*a*c)/c) + sinh(1/4*(b^2 + 4*a*c)/c))*erf(1/2*(2*c*x - b)/sqrt(c)))/c","A",0
9,0,0,0,0.584764," ","integrate(sinh(-c*x^2+b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sinh\left(c x^{2} - b x - a\right)}{x}, x\right)"," ",0,"integral(-sinh(c*x^2 - b*x - a)/x, x)","F",0
10,1,371,0,0.633275," ","integrate(-b*cosh(-c*x^2+b*x+a)/x+sinh(-c*x^2+b*x+a)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(x \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - x \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(x \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) - x \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x - b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} {\left(x \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + x \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + {\left(x \cosh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right) + x \sinh\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right) + \cosh\left(c x^{2} - b x - a\right)^{2} + 2 \, \cosh\left(c x^{2} - b x - a\right) \sinh\left(c x^{2} - b x - a\right) + \sinh\left(c x^{2} - b x - a\right)^{2} - 1}{2 \, {\left(x \cosh\left(c x^{2} - b x - a\right) + x \sinh\left(c x^{2} - b x - a\right)\right)}}"," ",0,"1/2*(sqrt(pi)*(x*cosh(c*x^2 - b*x - a)*cosh(1/4*(b^2 + 4*a*c)/c) - x*cosh(c*x^2 - b*x - a)*sinh(1/4*(b^2 + 4*a*c)/c) + (x*cosh(1/4*(b^2 + 4*a*c)/c) - x*sinh(1/4*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(-c)*erf(1/2*(2*c*x - b)*sqrt(-c)/c) - sqrt(pi)*(x*cosh(c*x^2 - b*x - a)*cosh(1/4*(b^2 + 4*a*c)/c) + x*cosh(c*x^2 - b*x - a)*sinh(1/4*(b^2 + 4*a*c)/c) + (x*cosh(1/4*(b^2 + 4*a*c)/c) + x*sinh(1/4*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(c)*erf(1/2*(2*c*x - b)/sqrt(c)) + cosh(c*x^2 - b*x - a)^2 + 2*cosh(c*x^2 - b*x - a)*sinh(c*x^2 - b*x - a) + sinh(c*x^2 - b*x - a)^2 - 1)/(x*cosh(c*x^2 - b*x - a) + x*sinh(c*x^2 - b*x - a))","B",0
11,1,58,0,0.562027," ","integrate(x^2*sinh(1/4+x+x^2),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(\sqrt{\pi} {\left(3 \, \operatorname{erf}\left(x + \frac{1}{2}\right) + \operatorname{erfi}\left(x + \frac{1}{2}\right)\right)} e^{\left(x^{2} + x + \frac{1}{4}\right)} - 2 \, {\left(2 \, x - 1\right)} e^{\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)} - 4 \, x + 2\right)} e^{\left(-x^{2} - x - \frac{1}{4}\right)}"," ",0,"-1/16*(sqrt(pi)*(3*erf(x + 1/2) + erfi(x + 1/2))*e^(x^2 + x + 1/4) - 2*(2*x - 1)*e^(2*x^2 + 2*x + 1/2) - 4*x + 2)*e^(-x^2 - x - 1/4)","A",0
12,1,50,0,0.682421," ","integrate(x*sinh(1/4+x+x^2),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(\sqrt{\pi} {\left(\operatorname{erf}\left(x + \frac{1}{2}\right) - \operatorname{erfi}\left(x + \frac{1}{2}\right)\right)} e^{\left(x^{2} + x + \frac{1}{4}\right)} + 2 \, e^{\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)} + 2\right)} e^{\left(-x^{2} - x - \frac{1}{4}\right)}"," ",0,"1/8*(sqrt(pi)*(erf(x + 1/2) - erfi(x + 1/2))*e^(x^2 + x + 1/4) + 2*e^(2*x^2 + 2*x + 1/2) + 2)*e^(-x^2 - x - 1/4)","A",0
13,1,16,0,0.554492," ","integrate(sinh(1/4+x+x^2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{\pi} {\left(\operatorname{erf}\left(x + \frac{1}{2}\right) - \operatorname{erfi}\left(x + \frac{1}{2}\right)\right)}"," ",0,"-1/4*sqrt(pi)*(erf(x + 1/2) - erfi(x + 1/2))","A",0
14,0,0,0,0.704353," ","integrate(sinh(1/4+x+x^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(x^{2} + x + \frac{1}{4}\right)}{x}, x\right)"," ",0,"integral(sinh(x^2 + x + 1/4)/x, x)","F",0
15,0,0,0,0.629992," ","integrate(sinh(1/4+x+x^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(x^{2} + x + \frac{1}{4}\right)}{x^{2}}, x\right)"," ",0,"integral(sinh(x^2 + x + 1/4)/x^2, x)","F",0
16,1,766,0,0.595082," ","integrate(x^2*sinh(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{32 \, c^{3} x^{3} \cosh\left(c x^{2} + b x + a\right)^{2} - 6 \, {\left(2 \, c^{2} x - b c\right)} \cosh\left(c x^{2} + b x + a\right)^{4} - 24 \, {\left(2 \, c^{2} x - b c\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right)^{3} - 6 \, {\left(2 \, c^{2} x - b c\right)} \sinh\left(c x^{2} + b x + a\right)^{4} + 3 \, \sqrt{2} \sqrt{\pi} {\left({\left(b^{2} - c\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(b^{2} - c\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(b^{2} - c\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(b^{2} - c\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left({\left(b^{2} - c\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(b^{2} - c\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) - 3 \, \sqrt{2} \sqrt{\pi} {\left({\left(b^{2} + c\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(b^{2} + c\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(b^{2} + c\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(b^{2} + c\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left({\left(b^{2} + c\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(b^{2} + c\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)}}{2 \, \sqrt{c}}\right) + 12 \, c^{2} x + 4 \, {\left(8 \, c^{3} x^{3} - 9 \, {\left(2 \, c^{2} x - b c\right)} \cosh\left(c x^{2} + b x + a\right)^{2}\right)} \sinh\left(c x^{2} + b x + a\right)^{2} - 6 \, b c + 8 \, {\left(8 \, c^{3} x^{3} \cosh\left(c x^{2} + b x + a\right) - 3 \, {\left(2 \, c^{2} x - b c\right)} \cosh\left(c x^{2} + b x + a\right)^{3}\right)} \sinh\left(c x^{2} + b x + a\right)}{192 \, {\left(c^{3} \cosh\left(c x^{2} + b x + a\right)^{2} + 2 \, c^{3} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + c^{3} \sinh\left(c x^{2} + b x + a\right)^{2}\right)}}"," ",0,"-1/192*(32*c^3*x^3*cosh(c*x^2 + b*x + a)^2 - 6*(2*c^2*x - b*c)*cosh(c*x^2 + b*x + a)^4 - 24*(2*c^2*x - b*c)*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a)^3 - 6*(2*c^2*x - b*c)*sinh(c*x^2 + b*x + a)^4 + 3*sqrt(2)*sqrt(pi)*((b^2 - c)*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) + (b^2 - c)*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + ((b^2 - c)*cosh(-1/2*(b^2 - 4*a*c)/c) + (b^2 - c)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*((b^2 - c)*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) + (b^2 - c)*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*sqrt(2)*(2*c*x + b)*sqrt(-c)/c) - 3*sqrt(2)*sqrt(pi)*((b^2 + c)*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) - (b^2 + c)*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + ((b^2 + c)*cosh(-1/2*(b^2 - 4*a*c)/c) - (b^2 + c)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*((b^2 + c)*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) - (b^2 + c)*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*sqrt(2)*(2*c*x + b)/sqrt(c)) + 12*c^2*x + 4*(8*c^3*x^3 - 9*(2*c^2*x - b*c)*cosh(c*x^2 + b*x + a)^2)*sinh(c*x^2 + b*x + a)^2 - 6*b*c + 8*(8*c^3*x^3*cosh(c*x^2 + b*x + a) - 3*(2*c^2*x - b*c)*cosh(c*x^2 + b*x + a)^3)*sinh(c*x^2 + b*x + a))/(c^3*cosh(c*x^2 + b*x + a)^2 + 2*c^3*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + c^3*sinh(c*x^2 + b*x + a)^2)","B",0
17,1,648,0,0.621251," ","integrate(x*sinh(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{8 \, c^{2} x^{2} \cosh\left(c x^{2} + b x + a\right)^{2} - 2 \, c \cosh\left(c x^{2} + b x + a\right)^{4} - 8 \, c \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right)^{3} - 2 \, c \sinh\left(c x^{2} + b x + a\right)^{4} - \sqrt{2} \sqrt{\pi} {\left(b \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + b \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(b \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + b \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left(b \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + b \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) + \sqrt{2} \sqrt{\pi} {\left(b \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - b \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(b \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - b \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left(b \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - b \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)}}{2 \, \sqrt{c}}\right) + 4 \, {\left(2 \, c^{2} x^{2} - 3 \, c \cosh\left(c x^{2} + b x + a\right)^{2}\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 8 \, {\left(2 \, c^{2} x^{2} \cosh\left(c x^{2} + b x + a\right) - c \cosh\left(c x^{2} + b x + a\right)^{3}\right)} \sinh\left(c x^{2} + b x + a\right) + 2 \, c}{32 \, {\left(c^{2} \cosh\left(c x^{2} + b x + a\right)^{2} + 2 \, c^{2} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + c^{2} \sinh\left(c x^{2} + b x + a\right)^{2}\right)}}"," ",0,"-1/32*(8*c^2*x^2*cosh(c*x^2 + b*x + a)^2 - 2*c*cosh(c*x^2 + b*x + a)^4 - 8*c*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a)^3 - 2*c*sinh(c*x^2 + b*x + a)^4 - sqrt(2)*sqrt(pi)*(b*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) + b*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + (b*cosh(-1/2*(b^2 - 4*a*c)/c) + b*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*(b*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) + b*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*sqrt(2)*(2*c*x + b)*sqrt(-c)/c) + sqrt(2)*sqrt(pi)*(b*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) - b*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + (b*cosh(-1/2*(b^2 - 4*a*c)/c) - b*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*(b*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) - b*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*sqrt(2)*(2*c*x + b)/sqrt(c)) + 4*(2*c^2*x^2 - 3*c*cosh(c*x^2 + b*x + a)^2)*sinh(c*x^2 + b*x + a)^2 + 8*(2*c^2*x^2*cosh(c*x^2 + b*x + a) - c*cosh(c*x^2 + b*x + a)^3)*sinh(c*x^2 + b*x + a) + 2*c)/(c^2*cosh(c*x^2 + b*x + a)^2 + 2*c^2*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + c^2*sinh(c*x^2 + b*x + a)^2)","B",0
18,1,128,0,0.597316," ","integrate(sinh(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{\pi} \sqrt{-c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{2} \sqrt{\pi} \sqrt{c} {\left(\cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)}}{2 \, \sqrt{c}}\right) + 8 \, c x}{16 \, c}"," ",0,"-1/16*(sqrt(2)*sqrt(pi)*sqrt(-c)*(cosh(-1/2*(b^2 - 4*a*c)/c) + sinh(-1/2*(b^2 - 4*a*c)/c))*erf(1/2*sqrt(2)*(2*c*x + b)*sqrt(-c)/c) - sqrt(2)*sqrt(pi)*sqrt(c)*(cosh(-1/2*(b^2 - 4*a*c)/c) - sinh(-1/2*(b^2 - 4*a*c)/c))*erf(1/2*sqrt(2)*(2*c*x + b)/sqrt(c)) + 8*c*x)/c","A",0
19,0,0,0,0.661456," ","integrate(sinh(c*x^2+b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(c x^{2} + b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(sinh(c*x^2 + b*x + a)^2/x, x)","F",0
20,1,843,0,0.634551," ","integrate(x^2*sinh(-c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{32 \, c^{3} x^{3} \cosh\left(c x^{2} - b x - a\right)^{2} - 6 \, {\left(2 \, c^{2} x + b c\right)} \cosh\left(c x^{2} - b x - a\right)^{4} - 24 \, {\left(2 \, c^{2} x + b c\right)} \cosh\left(c x^{2} - b x - a\right) \sinh\left(c x^{2} - b x - a\right)^{3} - 6 \, {\left(2 \, c^{2} x + b c\right)} \sinh\left(c x^{2} - b x - a\right)^{4} + 3 \, \sqrt{2} \sqrt{\pi} {\left({\left(b^{2} - c\right)} \cosh\left(c x^{2} - b x - a\right)^{2} \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - {\left(b^{2} - c\right)} \cosh\left(c x^{2} - b x - a\right)^{2} \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left({\left(b^{2} - c\right)} \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - {\left(b^{2} - c\right)} \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)^{2} + 2 \, {\left({\left(b^{2} - c\right)} \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - {\left(b^{2} - c\right)} \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{-c}}{2 \, c}\right) - 3 \, \sqrt{2} \sqrt{\pi} {\left({\left(b^{2} + c\right)} \cosh\left(c x^{2} - b x - a\right)^{2} \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left(b^{2} + c\right)} \cosh\left(c x^{2} - b x - a\right)^{2} \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left({\left(b^{2} + c\right)} \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left(b^{2} + c\right)} \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)^{2} + 2 \, {\left({\left(b^{2} + c\right)} \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left(b^{2} + c\right)} \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)}}{2 \, \sqrt{c}}\right) + 12 \, c^{2} x + 4 \, {\left(8 \, c^{3} x^{3} - 9 \, {\left(2 \, c^{2} x + b c\right)} \cosh\left(c x^{2} - b x - a\right)^{2}\right)} \sinh\left(c x^{2} - b x - a\right)^{2} + 6 \, b c + 8 \, {\left(8 \, c^{3} x^{3} \cosh\left(c x^{2} - b x - a\right) - 3 \, {\left(2 \, c^{2} x + b c\right)} \cosh\left(c x^{2} - b x - a\right)^{3}\right)} \sinh\left(c x^{2} - b x - a\right)}{192 \, {\left(c^{3} \cosh\left(c x^{2} - b x - a\right)^{2} + 2 \, c^{3} \cosh\left(c x^{2} - b x - a\right) \sinh\left(c x^{2} - b x - a\right) + c^{3} \sinh\left(c x^{2} - b x - a\right)^{2}\right)}}"," ",0,"-1/192*(32*c^3*x^3*cosh(c*x^2 - b*x - a)^2 - 6*(2*c^2*x + b*c)*cosh(c*x^2 - b*x - a)^4 - 24*(2*c^2*x + b*c)*cosh(c*x^2 - b*x - a)*sinh(c*x^2 - b*x - a)^3 - 6*(2*c^2*x + b*c)*sinh(c*x^2 - b*x - a)^4 + 3*sqrt(2)*sqrt(pi)*((b^2 - c)*cosh(c*x^2 - b*x - a)^2*cosh(1/2*(b^2 + 4*a*c)/c) - (b^2 - c)*cosh(c*x^2 - b*x - a)^2*sinh(1/2*(b^2 + 4*a*c)/c) + ((b^2 - c)*cosh(1/2*(b^2 + 4*a*c)/c) - (b^2 - c)*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a)^2 + 2*((b^2 - c)*cosh(c*x^2 - b*x - a)*cosh(1/2*(b^2 + 4*a*c)/c) - (b^2 - c)*cosh(c*x^2 - b*x - a)*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(-c)*erf(1/2*sqrt(2)*(2*c*x - b)*sqrt(-c)/c) - 3*sqrt(2)*sqrt(pi)*((b^2 + c)*cosh(c*x^2 - b*x - a)^2*cosh(1/2*(b^2 + 4*a*c)/c) + (b^2 + c)*cosh(c*x^2 - b*x - a)^2*sinh(1/2*(b^2 + 4*a*c)/c) + ((b^2 + c)*cosh(1/2*(b^2 + 4*a*c)/c) + (b^2 + c)*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a)^2 + 2*((b^2 + c)*cosh(c*x^2 - b*x - a)*cosh(1/2*(b^2 + 4*a*c)/c) + (b^2 + c)*cosh(c*x^2 - b*x - a)*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(c)*erf(1/2*sqrt(2)*(2*c*x - b)/sqrt(c)) + 12*c^2*x + 4*(8*c^3*x^3 - 9*(2*c^2*x + b*c)*cosh(c*x^2 - b*x - a)^2)*sinh(c*x^2 - b*x - a)^2 + 6*b*c + 8*(8*c^3*x^3*cosh(c*x^2 - b*x - a) - 3*(2*c^2*x + b*c)*cosh(c*x^2 - b*x - a)^3)*sinh(c*x^2 - b*x - a))/(c^3*cosh(c*x^2 - b*x - a)^2 + 2*c^3*cosh(c*x^2 - b*x - a)*sinh(c*x^2 - b*x - a) + c^3*sinh(c*x^2 - b*x - a)^2)","B",0
21,1,730,0,0.634000," ","integrate(x*sinh(-c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{8 \, c^{2} x^{2} \cosh\left(c x^{2} - b x - a\right)^{2} - 2 \, c \cosh\left(c x^{2} - b x - a\right)^{4} - 8 \, c \cosh\left(c x^{2} - b x - a\right) \sinh\left(c x^{2} - b x - a\right)^{3} - 2 \, c \sinh\left(c x^{2} - b x - a\right)^{4} + \sqrt{2} \sqrt{\pi} {\left(b \cosh\left(c x^{2} - b x - a\right)^{2} \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - b \cosh\left(c x^{2} - b x - a\right)^{2} \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left(b \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - b \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)^{2} + 2 \, {\left(b \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - b \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{2} \sqrt{\pi} {\left(b \cosh\left(c x^{2} - b x - a\right)^{2} \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + b \cosh\left(c x^{2} - b x - a\right)^{2} \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + {\left(b \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + b \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)^{2} + 2 \, {\left(b \cosh\left(c x^{2} - b x - a\right) \cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + b \cosh\left(c x^{2} - b x - a\right) \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} - b x - a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)}}{2 \, \sqrt{c}}\right) + 4 \, {\left(2 \, c^{2} x^{2} - 3 \, c \cosh\left(c x^{2} - b x - a\right)^{2}\right)} \sinh\left(c x^{2} - b x - a\right)^{2} + 8 \, {\left(2 \, c^{2} x^{2} \cosh\left(c x^{2} - b x - a\right) - c \cosh\left(c x^{2} - b x - a\right)^{3}\right)} \sinh\left(c x^{2} - b x - a\right) + 2 \, c}{32 \, {\left(c^{2} \cosh\left(c x^{2} - b x - a\right)^{2} + 2 \, c^{2} \cosh\left(c x^{2} - b x - a\right) \sinh\left(c x^{2} - b x - a\right) + c^{2} \sinh\left(c x^{2} - b x - a\right)^{2}\right)}}"," ",0,"-1/32*(8*c^2*x^2*cosh(c*x^2 - b*x - a)^2 - 2*c*cosh(c*x^2 - b*x - a)^4 - 8*c*cosh(c*x^2 - b*x - a)*sinh(c*x^2 - b*x - a)^3 - 2*c*sinh(c*x^2 - b*x - a)^4 + sqrt(2)*sqrt(pi)*(b*cosh(c*x^2 - b*x - a)^2*cosh(1/2*(b^2 + 4*a*c)/c) - b*cosh(c*x^2 - b*x - a)^2*sinh(1/2*(b^2 + 4*a*c)/c) + (b*cosh(1/2*(b^2 + 4*a*c)/c) - b*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a)^2 + 2*(b*cosh(c*x^2 - b*x - a)*cosh(1/2*(b^2 + 4*a*c)/c) - b*cosh(c*x^2 - b*x - a)*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(-c)*erf(1/2*sqrt(2)*(2*c*x - b)*sqrt(-c)/c) - sqrt(2)*sqrt(pi)*(b*cosh(c*x^2 - b*x - a)^2*cosh(1/2*(b^2 + 4*a*c)/c) + b*cosh(c*x^2 - b*x - a)^2*sinh(1/2*(b^2 + 4*a*c)/c) + (b*cosh(1/2*(b^2 + 4*a*c)/c) + b*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a)^2 + 2*(b*cosh(c*x^2 - b*x - a)*cosh(1/2*(b^2 + 4*a*c)/c) + b*cosh(c*x^2 - b*x - a)*sinh(1/2*(b^2 + 4*a*c)/c))*sinh(c*x^2 - b*x - a))*sqrt(c)*erf(1/2*sqrt(2)*(2*c*x - b)/sqrt(c)) + 4*(2*c^2*x^2 - 3*c*cosh(c*x^2 - b*x - a)^2)*sinh(c*x^2 - b*x - a)^2 + 8*(2*c^2*x^2*cosh(c*x^2 - b*x - a) - c*cosh(c*x^2 - b*x - a)^3)*sinh(c*x^2 - b*x - a) + 2*c)/(c^2*cosh(c*x^2 - b*x - a)^2 + 2*c^2*cosh(c*x^2 - b*x - a)*sinh(c*x^2 - b*x - a) + c^2*sinh(c*x^2 - b*x - a)^2)","B",0
22,1,132,0,0.583312," ","integrate(sinh(-c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{\pi} \sqrt{-c} {\left(\cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) - \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{2} \sqrt{\pi} \sqrt{c} {\left(\cosh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right) + \sinh\left(\frac{b^{2} + 4 \, a c}{2 \, c}\right)\right)} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x - b\right)}}{2 \, \sqrt{c}}\right) + 8 \, c x}{16 \, c}"," ",0,"-1/16*(sqrt(2)*sqrt(pi)*sqrt(-c)*(cosh(1/2*(b^2 + 4*a*c)/c) - sinh(1/2*(b^2 + 4*a*c)/c))*erf(1/2*sqrt(2)*(2*c*x - b)*sqrt(-c)/c) - sqrt(2)*sqrt(pi)*sqrt(c)*(cosh(1/2*(b^2 + 4*a*c)/c) + sinh(1/2*(b^2 + 4*a*c)/c))*erf(1/2*sqrt(2)*(2*c*x - b)/sqrt(c)) + 8*c*x)/c","A",0
23,0,0,0,0.618066," ","integrate(sinh(-c*x^2+b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(c x^{2} - b x - a\right)^{2}}{x}, x\right)"," ",0,"integral(sinh(c*x^2 - b*x - a)^2/x, x)","F",0
24,1,268,0,0.927069," ","integrate(x^2*sinh(1/4+x+x^2)^2,x, algorithm=""fricas"")","-\frac{16 \, x^{3} \cosh\left(x^{2} + x + \frac{1}{4}\right)^{2} - 3 \, {\left(2 \, x - 1\right)} \cosh\left(x^{2} + x + \frac{1}{4}\right)^{4} - 12 \, {\left(2 \, x - 1\right)} \cosh\left(x^{2} + x + \frac{1}{4}\right) \sinh\left(x^{2} + x + \frac{1}{4}\right)^{3} - 3 \, {\left(2 \, x - 1\right)} \sinh\left(x^{2} + x + \frac{1}{4}\right)^{4} + 2 \, {\left(8 \, x^{3} - 9 \, {\left(2 \, x - 1\right)} \cosh\left(x^{2} + x + \frac{1}{4}\right)^{2}\right)} \sinh\left(x^{2} + x + \frac{1}{4}\right)^{2} + 4 \, {\left(8 \, x^{3} \cosh\left(x^{2} + x + \frac{1}{4}\right) - 3 \, {\left(2 \, x - 1\right)} \cosh\left(x^{2} + x + \frac{1}{4}\right)^{3}\right)} \sinh\left(x^{2} + x + \frac{1}{4}\right) - 3 \, \sqrt{\pi} {\left(\sqrt{2} \cosh\left(x^{2} + x + \frac{1}{4}\right)^{2} \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) + 2 \, \sqrt{2} \cosh\left(x^{2} + x + \frac{1}{4}\right) \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) \sinh\left(x^{2} + x + \frac{1}{4}\right) + \sqrt{2} \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) \sinh\left(x^{2} + x + \frac{1}{4}\right)^{2}\right)} + 6 \, x - 3}{96 \, {\left(\cosh\left(x^{2} + x + \frac{1}{4}\right)^{2} + 2 \, \cosh\left(x^{2} + x + \frac{1}{4}\right) \sinh\left(x^{2} + x + \frac{1}{4}\right) + \sinh\left(x^{2} + x + \frac{1}{4}\right)^{2}\right)}}"," ",0,"-1/96*(16*x^3*cosh(x^2 + x + 1/4)^2 - 3*(2*x - 1)*cosh(x^2 + x + 1/4)^4 - 12*(2*x - 1)*cosh(x^2 + x + 1/4)*sinh(x^2 + x + 1/4)^3 - 3*(2*x - 1)*sinh(x^2 + x + 1/4)^4 + 2*(8*x^3 - 9*(2*x - 1)*cosh(x^2 + x + 1/4)^2)*sinh(x^2 + x + 1/4)^2 + 4*(8*x^3*cosh(x^2 + x + 1/4) - 3*(2*x - 1)*cosh(x^2 + x + 1/4)^3)*sinh(x^2 + x + 1/4) - 3*sqrt(pi)*(sqrt(2)*cosh(x^2 + x + 1/4)^2*erf(1/2*sqrt(2)*(2*x + 1)) + 2*sqrt(2)*cosh(x^2 + x + 1/4)*erf(1/2*sqrt(2)*(2*x + 1))*sinh(x^2 + x + 1/4) + sqrt(2)*erf(1/2*sqrt(2)*(2*x + 1))*sinh(x^2 + x + 1/4)^2) + 6*x - 3)/(cosh(x^2 + x + 1/4)^2 + 2*cosh(x^2 + x + 1/4)*sinh(x^2 + x + 1/4) + sinh(x^2 + x + 1/4)^2)","B",0
25,1,90,0,0.650733," ","integrate(x*sinh(1/4+x+x^2)^2,x, algorithm=""fricas"")","-\frac{1}{32} \, {\left(8 \, x^{2} e^{\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)} + \sqrt{\pi} {\left(\sqrt{2} \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) + \sqrt{2} \operatorname{erfi}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right)\right)} e^{\left(2 \, x^{2} + 2 \, x + \frac{1}{2}\right)} - 2 \, e^{\left(4 \, x^{2} + 4 \, x + 1\right)} + 2\right)} e^{\left(-2 \, x^{2} - 2 \, x - \frac{1}{2}\right)}"," ",0,"-1/32*(8*x^2*e^(2*x^2 + 2*x + 1/2) + sqrt(pi)*(sqrt(2)*erf(1/2*sqrt(2)*(2*x + 1)) + sqrt(2)*erfi(1/2*sqrt(2)*(2*x + 1)))*e^(2*x^2 + 2*x + 1/2) - 2*e^(4*x^2 + 4*x + 1) + 2)*e^(-2*x^2 - 2*x - 1/2)","A",0
26,1,40,0,0.448902," ","integrate(sinh(1/4+x+x^2)^2,x, algorithm=""fricas"")","\frac{1}{16} \, \sqrt{\pi} {\left(\sqrt{2} \operatorname{erf}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right) + \sqrt{2} \operatorname{erfi}\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + 1\right)}\right)\right)} - \frac{1}{2} \, x"," ",0,"1/16*sqrt(pi)*(sqrt(2)*erf(1/2*sqrt(2)*(2*x + 1)) + sqrt(2)*erfi(1/2*sqrt(2)*(2*x + 1))) - 1/2*x","A",0
27,0,0,0,0.618737," ","integrate(sinh(1/4+x+x^2)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(x^{2} + x + \frac{1}{4}\right)^{2}}{x}, x\right)"," ",0,"integral(sinh(x^2 + x + 1/4)^2/x, x)","F",0
28,1,634,0,0.569197," ","integrate((e*x+d)^2*sinh(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{4 \, c^{2} e^{2} x + 8 \, c^{2} d e - 2 \, b c e^{2} + 2 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{2} - \sqrt{\pi} {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - 2 \, c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - 2 \, c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - 2 \, c\right)} e^{2}\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - 2 \, c\right)} e^{2}\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + 2 \, c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + 2 \, c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + 2 \, c\right)} e^{2}\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + 2 \, c\right)} e^{2}\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x + b}{2 \, \sqrt{c}}\right) + 4 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + 2 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \sinh\left(c x^{2} + b x + a\right)^{2}}{16 \, {\left(c^{3} \cosh\left(c x^{2} + b x + a\right) + c^{3} \sinh\left(c x^{2} + b x + a\right)\right)}}"," ",0,"1/16*(4*c^2*e^2*x + 8*c^2*d*e - 2*b*c*e^2 + 2*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cosh(c*x^2 + b*x + a)^2 - sqrt(pi)*((4*c^2*d^2 - 4*b*c*d*e + (b^2 - 2*c)*e^2)*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) + (4*c^2*d^2 - 4*b*c*d*e + (b^2 - 2*c)*e^2)*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + ((4*c^2*d^2 - 4*b*c*d*e + (b^2 - 2*c)*e^2)*cosh(-1/4*(b^2 - 4*a*c)/c) + (4*c^2*d^2 - 4*b*c*d*e + (b^2 - 2*c)*e^2)*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*(2*c*x + b)*sqrt(-c)/c) - sqrt(pi)*((4*c^2*d^2 - 4*b*c*d*e + (b^2 + 2*c)*e^2)*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) - (4*c^2*d^2 - 4*b*c*d*e + (b^2 + 2*c)*e^2)*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + ((4*c^2*d^2 - 4*b*c*d*e + (b^2 + 2*c)*e^2)*cosh(-1/4*(b^2 - 4*a*c)/c) - (4*c^2*d^2 - 4*b*c*d*e + (b^2 + 2*c)*e^2)*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*(2*c*x + b)/sqrt(c)) + 4*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + 2*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*sinh(c*x^2 + b*x + a)^2)/(c^3*cosh(c*x^2 + b*x + a) + c^3*sinh(c*x^2 + b*x + a))","B",0
29,1,413,0,0.568196," ","integrate((e*x+d)*sinh(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{2 \, c e \cosh\left(c x^{2} + b x + a\right)^{2} + 4 \, c e \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + 2 \, c e \sinh\left(c x^{2} + b x + a\right)^{2} - \sqrt{\pi} {\left({\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(2 \, c d - b e\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left(2 \, c d - b e\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) - \sqrt{\pi} {\left({\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - {\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) + {\left({\left(2 \, c d - b e\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right) - {\left(2 \, c d - b e\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{4 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x + b}{2 \, \sqrt{c}}\right) + 2 \, c e}{8 \, {\left(c^{2} \cosh\left(c x^{2} + b x + a\right) + c^{2} \sinh\left(c x^{2} + b x + a\right)\right)}}"," ",0,"1/8*(2*c*e*cosh(c*x^2 + b*x + a)^2 + 4*c*e*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + 2*c*e*sinh(c*x^2 + b*x + a)^2 - sqrt(pi)*((2*c*d - b*e)*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) + (2*c*d - b*e)*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + ((2*c*d - b*e)*cosh(-1/4*(b^2 - 4*a*c)/c) + (2*c*d - b*e)*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*(2*c*x + b)*sqrt(-c)/c) - sqrt(pi)*((2*c*d - b*e)*cosh(c*x^2 + b*x + a)*cosh(-1/4*(b^2 - 4*a*c)/c) - (2*c*d - b*e)*cosh(c*x^2 + b*x + a)*sinh(-1/4*(b^2 - 4*a*c)/c) + ((2*c*d - b*e)*cosh(-1/4*(b^2 - 4*a*c)/c) - (2*c*d - b*e)*sinh(-1/4*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*(2*c*x + b)/sqrt(c)) + 2*c*e)/(c^2*cosh(c*x^2 + b*x + a) + c^2*sinh(c*x^2 + b*x + a))","B",0
30,0,0,0,0.584776," ","integrate(sinh(c*x^2+b*x+a)/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(c x^{2} + b x + a\right)}{e x + d}, x\right)"," ",0,"integral(sinh(c*x^2 + b*x + a)/(e*x + d), x)","F",0
31,1,1142,0,1.472976," ","integrate((e*x+d)^2*sinh(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{12 \, c^{2} e^{2} x - 6 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{4} - 24 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right)^{3} - 6 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \sinh\left(c x^{2} + b x + a\right)^{4} + 24 \, c^{2} d e - 6 \, b c e^{2} + 3 \, \sqrt{2} \sqrt{\pi} {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - c\right)} e^{2}\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - c\right)} e^{2}\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} - c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) - 3 \, \sqrt{2} \sqrt{\pi} {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + c\right)} e^{2}\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + c\right)} e^{2}\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left({\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(4 \, c^{2} d^{2} - 4 \, b c d e + {\left(b^{2} + c\right)} e^{2}\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)}}{2 \, \sqrt{c}}\right) + 32 \, {\left(c^{3} e^{2} x^{3} + 3 \, c^{3} d e x^{2} + 3 \, c^{3} d^{2} x\right)} \cosh\left(c x^{2} + b x + a\right)^{2} + 4 \, {\left(8 \, c^{3} e^{2} x^{3} + 24 \, c^{3} d e x^{2} + 24 \, c^{3} d^{2} x - 9 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{2}\right)} \sinh\left(c x^{2} + b x + a\right)^{2} - 8 \, {\left(3 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} \cosh\left(c x^{2} + b x + a\right)^{3} - 8 \, {\left(c^{3} e^{2} x^{3} + 3 \, c^{3} d e x^{2} + 3 \, c^{3} d^{2} x\right)} \cosh\left(c x^{2} + b x + a\right)\right)} \sinh\left(c x^{2} + b x + a\right)}{192 \, {\left(c^{3} \cosh\left(c x^{2} + b x + a\right)^{2} + 2 \, c^{3} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + c^{3} \sinh\left(c x^{2} + b x + a\right)^{2}\right)}}"," ",0,"-1/192*(12*c^2*e^2*x - 6*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cosh(c*x^2 + b*x + a)^4 - 24*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a)^3 - 6*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*sinh(c*x^2 + b*x + a)^4 + 24*c^2*d*e - 6*b*c*e^2 + 3*sqrt(2)*sqrt(pi)*((4*c^2*d^2 - 4*b*c*d*e + (b^2 - c)*e^2)*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) + (4*c^2*d^2 - 4*b*c*d*e + (b^2 - c)*e^2)*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + ((4*c^2*d^2 - 4*b*c*d*e + (b^2 - c)*e^2)*cosh(-1/2*(b^2 - 4*a*c)/c) + (4*c^2*d^2 - 4*b*c*d*e + (b^2 - c)*e^2)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*((4*c^2*d^2 - 4*b*c*d*e + (b^2 - c)*e^2)*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) + (4*c^2*d^2 - 4*b*c*d*e + (b^2 - c)*e^2)*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*sqrt(2)*(2*c*x + b)*sqrt(-c)/c) - 3*sqrt(2)*sqrt(pi)*((4*c^2*d^2 - 4*b*c*d*e + (b^2 + c)*e^2)*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) - (4*c^2*d^2 - 4*b*c*d*e + (b^2 + c)*e^2)*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + ((4*c^2*d^2 - 4*b*c*d*e + (b^2 + c)*e^2)*cosh(-1/2*(b^2 - 4*a*c)/c) - (4*c^2*d^2 - 4*b*c*d*e + (b^2 + c)*e^2)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*((4*c^2*d^2 - 4*b*c*d*e + (b^2 + c)*e^2)*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) - (4*c^2*d^2 - 4*b*c*d*e + (b^2 + c)*e^2)*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*sqrt(2)*(2*c*x + b)/sqrt(c)) + 32*(c^3*e^2*x^3 + 3*c^3*d*e*x^2 + 3*c^3*d^2*x)*cosh(c*x^2 + b*x + a)^2 + 4*(8*c^3*e^2*x^3 + 24*c^3*d*e*x^2 + 24*c^3*d^2*x - 9*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cosh(c*x^2 + b*x + a)^2)*sinh(c*x^2 + b*x + a)^2 - 8*(3*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*cosh(c*x^2 + b*x + a)^3 - 8*(c^3*e^2*x^3 + 3*c^3*d*e*x^2 + 3*c^3*d^2*x)*cosh(c*x^2 + b*x + a))*sinh(c*x^2 + b*x + a))/(c^3*cosh(c*x^2 + b*x + a)^2 + 2*c^3*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + c^3*sinh(c*x^2 + b*x + a)^2)","B",0
32,1,777,0,0.577374," ","integrate((e*x+d)*sinh(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","\frac{2 \, c e \cosh\left(c x^{2} + b x + a\right)^{4} + 8 \, c e \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right)^{3} + 2 \, c e \sinh\left(c x^{2} + b x + a\right)^{4} - \sqrt{2} \sqrt{\pi} {\left({\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(2 \, c d - b e\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(2 \, c d - b e\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left({\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{-c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)} \sqrt{-c}}{2 \, c}\right) + \sqrt{2} \sqrt{\pi} {\left({\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right)^{2} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) + {\left({\left(2 \, c d - b e\right)} \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(2 \, c d - b e\right)} \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)^{2} + 2 \, {\left({\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \cosh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right) - {\left(2 \, c d - b e\right)} \cosh\left(c x^{2} + b x + a\right) \sinh\left(-\frac{b^{2} - 4 \, a c}{2 \, c}\right)\right)} \sinh\left(c x^{2} + b x + a\right)\right)} \sqrt{c} \operatorname{erf}\left(\frac{\sqrt{2} {\left(2 \, c x + b\right)}}{2 \, \sqrt{c}}\right) - 8 \, {\left(c^{2} e x^{2} + 2 \, c^{2} d x\right)} \cosh\left(c x^{2} + b x + a\right)^{2} - 4 \, {\left(2 \, c^{2} e x^{2} + 4 \, c^{2} d x - 3 \, c e \cosh\left(c x^{2} + b x + a\right)^{2}\right)} \sinh\left(c x^{2} + b x + a\right)^{2} - 2 \, c e + 8 \, {\left(c e \cosh\left(c x^{2} + b x + a\right)^{3} - 2 \, {\left(c^{2} e x^{2} + 2 \, c^{2} d x\right)} \cosh\left(c x^{2} + b x + a\right)\right)} \sinh\left(c x^{2} + b x + a\right)}{32 \, {\left(c^{2} \cosh\left(c x^{2} + b x + a\right)^{2} + 2 \, c^{2} \cosh\left(c x^{2} + b x + a\right) \sinh\left(c x^{2} + b x + a\right) + c^{2} \sinh\left(c x^{2} + b x + a\right)^{2}\right)}}"," ",0,"1/32*(2*c*e*cosh(c*x^2 + b*x + a)^4 + 8*c*e*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a)^3 + 2*c*e*sinh(c*x^2 + b*x + a)^4 - sqrt(2)*sqrt(pi)*((2*c*d - b*e)*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) + (2*c*d - b*e)*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + ((2*c*d - b*e)*cosh(-1/2*(b^2 - 4*a*c)/c) + (2*c*d - b*e)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*((2*c*d - b*e)*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) + (2*c*d - b*e)*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(-c)*erf(1/2*sqrt(2)*(2*c*x + b)*sqrt(-c)/c) + sqrt(2)*sqrt(pi)*((2*c*d - b*e)*cosh(c*x^2 + b*x + a)^2*cosh(-1/2*(b^2 - 4*a*c)/c) - (2*c*d - b*e)*cosh(c*x^2 + b*x + a)^2*sinh(-1/2*(b^2 - 4*a*c)/c) + ((2*c*d - b*e)*cosh(-1/2*(b^2 - 4*a*c)/c) - (2*c*d - b*e)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a)^2 + 2*((2*c*d - b*e)*cosh(c*x^2 + b*x + a)*cosh(-1/2*(b^2 - 4*a*c)/c) - (2*c*d - b*e)*cosh(c*x^2 + b*x + a)*sinh(-1/2*(b^2 - 4*a*c)/c))*sinh(c*x^2 + b*x + a))*sqrt(c)*erf(1/2*sqrt(2)*(2*c*x + b)/sqrt(c)) - 8*(c^2*e*x^2 + 2*c^2*d*x)*cosh(c*x^2 + b*x + a)^2 - 4*(2*c^2*e*x^2 + 4*c^2*d*x - 3*c*e*cosh(c*x^2 + b*x + a)^2)*sinh(c*x^2 + b*x + a)^2 - 2*c*e + 8*(c*e*cosh(c*x^2 + b*x + a)^3 - 2*(c^2*e*x^2 + 2*c^2*d*x)*cosh(c*x^2 + b*x + a))*sinh(c*x^2 + b*x + a))/(c^2*cosh(c*x^2 + b*x + a)^2 + 2*c^2*cosh(c*x^2 + b*x + a)*sinh(c*x^2 + b*x + a) + c^2*sinh(c*x^2 + b*x + a)^2)","B",0
33,0,0,0,0.618020," ","integrate(sinh(c*x^2+b*x+a)^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(c x^{2} + b x + a\right)^{2}}{e x + d}, x\right)"," ",0,"integral(sinh(c*x^2 + b*x + a)^2/(e*x + d), x)","F",0
