1,1,29,0,0.461298," ","integrate(x^3*cosh(b*x^2+a),x, algorithm=""fricas"")","\frac{b x^{2} \sinh\left(b x^{2} + a\right) - \cosh\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*(b*x^2*sinh(b*x^2 + a) - cosh(b*x^2 + a))/b^2","A",0
2,1,189,0,0.476536," ","integrate(x^2*cosh(b*x^2+a),x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(b x^{2} + a\right)^{2} + 4 \, b x \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right) + 2 \, b x \sinh\left(b x^{2} + a\right)^{2} + \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right) \cosh\left(a\right) + {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right) + \cosh\left(b x^{2} + a\right) \sinh\left(a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{-b} x\right) + \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right) \cosh\left(a\right) + {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right) - \cosh\left(b x^{2} + a\right) \sinh\left(a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{b} x\right) - 2 \, b x}{8 \, {\left(b^{2} \cosh\left(b x^{2} + a\right) + b^{2} \sinh\left(b x^{2} + a\right)\right)}}"," ",0,"1/8*(2*b*x*cosh(b*x^2 + a)^2 + 4*b*x*cosh(b*x^2 + a)*sinh(b*x^2 + a) + 2*b*x*sinh(b*x^2 + a)^2 + sqrt(pi)*(cosh(b*x^2 + a)*cosh(a) + (cosh(a) + sinh(a))*sinh(b*x^2 + a) + cosh(b*x^2 + a)*sinh(a))*sqrt(-b)*erf(sqrt(-b)*x) + sqrt(pi)*(cosh(b*x^2 + a)*cosh(a) + (cosh(a) - sinh(a))*sinh(b*x^2 + a) - cosh(b*x^2 + a)*sinh(a))*sqrt(b)*erf(sqrt(b)*x) - 2*b*x)/(b^2*cosh(b*x^2 + a) + b^2*sinh(b*x^2 + a))","B",0
3,1,13,0,0.452902," ","integrate(x*cosh(b*x^2+a),x, algorithm=""fricas"")","\frac{\sinh\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*sinh(b*x^2 + a)/b","A",0
4,1,49,0,0.458351," ","integrate(cosh(b*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b} {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-b} x\right) - \sqrt{\pi} \sqrt{b} {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} \operatorname{erf}\left(\sqrt{b} x\right)}{4 \, b}"," ",0,"-1/4*(sqrt(pi)*sqrt(-b)*(cosh(a) + sinh(a))*erf(sqrt(-b)*x) - sqrt(pi)*sqrt(b)*(cosh(a) - sinh(a))*erf(sqrt(b)*x))/b","A",0
5,1,39,0,0.559885," ","integrate(cosh(b*x^2+a)/x,x, algorithm=""fricas"")","\frac{1}{4} \, {\left({\rm Ei}\left(b x^{2}\right) + {\rm Ei}\left(-b x^{2}\right)\right)} \cosh\left(a\right) + \frac{1}{4} \, {\left({\rm Ei}\left(b x^{2}\right) - {\rm Ei}\left(-b x^{2}\right)\right)} \sinh\left(a\right)"," ",0,"1/4*(Ei(b*x^2) + Ei(-b*x^2))*cosh(a) + 1/4*(Ei(b*x^2) - Ei(-b*x^2))*sinh(a)","A",0
6,1,183,0,0.623376," ","integrate(cosh(b*x^2+a)/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(a\right) + x \cosh\left(b x^{2} + a\right) \sinh\left(a\right) + {\left(x \cosh\left(a\right) + x \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{-b} x\right) + \sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(a\right) - x \cosh\left(b x^{2} + a\right) \sinh\left(a\right) + {\left(x \cosh\left(a\right) - x \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{b} x\right) + \cosh\left(b x^{2} + a\right)^{2} + 2 \, \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right) + \sinh\left(b x^{2} + a\right)^{2} + 1}{2 \, {\left(x \cosh\left(b x^{2} + a\right) + x \sinh\left(b x^{2} + a\right)\right)}}"," ",0,"-1/2*(sqrt(pi)*(x*cosh(b*x^2 + a)*cosh(a) + x*cosh(b*x^2 + a)*sinh(a) + (x*cosh(a) + x*sinh(a))*sinh(b*x^2 + a))*sqrt(-b)*erf(sqrt(-b)*x) + sqrt(pi)*(x*cosh(b*x^2 + a)*cosh(a) - x*cosh(b*x^2 + a)*sinh(a) + (x*cosh(a) - x*sinh(a))*sinh(b*x^2 + a))*sqrt(b)*erf(sqrt(b)*x) + cosh(b*x^2 + a)^2 + 2*cosh(b*x^2 + a)*sinh(b*x^2 + a) + sinh(b*x^2 + a)^2 + 1)/(x*cosh(b*x^2 + a) + x*sinh(b*x^2 + a))","B",0
7,1,71,0,0.455435," ","integrate(cosh(b*x^2+a)/x^3,x, algorithm=""fricas"")","\frac{{\left(b x^{2} {\rm Ei}\left(b x^{2}\right) - b x^{2} {\rm Ei}\left(-b x^{2}\right)\right)} \cosh\left(a\right) + {\left(b x^{2} {\rm Ei}\left(b x^{2}\right) + b x^{2} {\rm Ei}\left(-b x^{2}\right)\right)} \sinh\left(a\right) - 2 \, \cosh\left(b x^{2} + a\right)}{4 \, x^{2}}"," ",0,"1/4*((b*x^2*Ei(b*x^2) - b*x^2*Ei(-b*x^2))*cosh(a) + (b*x^2*Ei(b*x^2) + b*x^2*Ei(-b*x^2))*sinh(a) - 2*cosh(b*x^2 + a))/x^2","A",0
8,1,60,0,0.749438," ","integrate(x^3*cosh(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{2 \, b^{2} x^{4} + 4 \, b x^{2} \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right) - \cosh\left(b x^{2} + a\right)^{2} - \sinh\left(b x^{2} + a\right)^{2}}{16 \, b^{2}}"," ",0,"1/16*(2*b^2*x^4 + 4*b*x^2*cosh(b*x^2 + a)*sinh(b*x^2 + a) - cosh(b*x^2 + a)^2 - sinh(b*x^2 + a)^2)/b^2","A",0
9,1,427,0,0.566465," ","integrate(x^2*cosh(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{32 \, b^{2} x^{3} \cosh\left(b x^{2} + a\right)^{2} + 12 \, b x \cosh\left(b x^{2} + a\right)^{4} + 48 \, b x \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{3} + 12 \, b x \sinh\left(b x^{2} + a\right)^{4} + 3 \, \sqrt{2} \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right)^{2} \cosh\left(2 \, a\right) + {\left(\cosh\left(2 \, a\right) + \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + \cosh\left(b x^{2} + a\right)^{2} \sinh\left(2 \, a\right) + 2 \, {\left(\cosh\left(b x^{2} + a\right) \cosh\left(2 \, a\right) + \cosh\left(b x^{2} + a\right) \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{2} \sqrt{-b} x\right) + 3 \, \sqrt{2} \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right)^{2} \cosh\left(2 \, a\right) + {\left(\cosh\left(2 \, a\right) - \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} - \cosh\left(b x^{2} + a\right)^{2} \sinh\left(2 \, a\right) + 2 \, {\left(\cosh\left(b x^{2} + a\right) \cosh\left(2 \, a\right) - \cosh\left(b x^{2} + a\right) \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{2} \sqrt{b} x\right) + 8 \, {\left(4 \, b^{2} x^{3} + 9 \, b x \cosh\left(b x^{2} + a\right)^{2}\right)} \sinh\left(b x^{2} + a\right)^{2} - 12 \, b x + 16 \, {\left(4 \, b^{2} x^{3} \cosh\left(b x^{2} + a\right) + 3 \, b x \cosh\left(b x^{2} + a\right)^{3}\right)} \sinh\left(b x^{2} + a\right)}{192 \, {\left(b^{2} \cosh\left(b x^{2} + a\right)^{2} + 2 \, b^{2} \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right) + b^{2} \sinh\left(b x^{2} + a\right)^{2}\right)}}"," ",0,"1/192*(32*b^2*x^3*cosh(b*x^2 + a)^2 + 12*b*x*cosh(b*x^2 + a)^4 + 48*b*x*cosh(b*x^2 + a)*sinh(b*x^2 + a)^3 + 12*b*x*sinh(b*x^2 + a)^4 + 3*sqrt(2)*sqrt(pi)*(cosh(b*x^2 + a)^2*cosh(2*a) + (cosh(2*a) + sinh(2*a))*sinh(b*x^2 + a)^2 + cosh(b*x^2 + a)^2*sinh(2*a) + 2*(cosh(b*x^2 + a)*cosh(2*a) + cosh(b*x^2 + a)*sinh(2*a))*sinh(b*x^2 + a))*sqrt(-b)*erf(sqrt(2)*sqrt(-b)*x) + 3*sqrt(2)*sqrt(pi)*(cosh(b*x^2 + a)^2*cosh(2*a) + (cosh(2*a) - sinh(2*a))*sinh(b*x^2 + a)^2 - cosh(b*x^2 + a)^2*sinh(2*a) + 2*(cosh(b*x^2 + a)*cosh(2*a) - cosh(b*x^2 + a)*sinh(2*a))*sinh(b*x^2 + a))*sqrt(b)*erf(sqrt(2)*sqrt(b)*x) + 8*(4*b^2*x^3 + 9*b*x*cosh(b*x^2 + a)^2)*sinh(b*x^2 + a)^2 - 12*b*x + 16*(4*b^2*x^3*cosh(b*x^2 + a) + 3*b*x*cosh(b*x^2 + a)^3)*sinh(b*x^2 + a))/(b^2*cosh(b*x^2 + a)^2 + 2*b^2*cosh(b*x^2 + a)*sinh(b*x^2 + a) + b^2*sinh(b*x^2 + a)^2)","B",0
10,1,28,0,0.759413," ","integrate(x*cosh(b*x^2+a)^2,x, algorithm=""fricas"")","\frac{b x^{2} + \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)}{4 \, b}"," ",0,"1/4*(b*x^2 + cosh(b*x^2 + a)*sinh(b*x^2 + a))/b","A",0
11,1,73,0,0.487709," ","integrate(cosh(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} \sqrt{\pi} \sqrt{-b} {\left(\cosh\left(2 \, a\right) + \sinh\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{2} \sqrt{-b} x\right) - \sqrt{2} \sqrt{\pi} \sqrt{b} {\left(\cosh\left(2 \, a\right) - \sinh\left(2 \, a\right)\right)} \operatorname{erf}\left(\sqrt{2} \sqrt{b} x\right) - 8 \, b x}{16 \, b}"," ",0,"-1/16*(sqrt(2)*sqrt(pi)*sqrt(-b)*(cosh(2*a) + sinh(2*a))*erf(sqrt(2)*sqrt(-b)*x) - sqrt(2)*sqrt(pi)*sqrt(b)*(cosh(2*a) - sinh(2*a))*erf(sqrt(2)*sqrt(b)*x) - 8*b*x)/b","A",0
12,1,49,0,0.734487," ","integrate(cosh(b*x^2+a)^2/x,x, algorithm=""fricas"")","\frac{1}{8} \, {\left({\rm Ei}\left(2 \, b x^{2}\right) + {\rm Ei}\left(-2 \, b x^{2}\right)\right)} \cosh\left(2 \, a\right) + \frac{1}{8} \, {\left({\rm Ei}\left(2 \, b x^{2}\right) - {\rm Ei}\left(-2 \, b x^{2}\right)\right)} \sinh\left(2 \, a\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/8*(Ei(2*b*x^2) + Ei(-2*b*x^2))*cosh(2*a) + 1/8*(Ei(2*b*x^2) - Ei(-2*b*x^2))*sinh(2*a) + 1/2*log(x)","A",0
13,1,394,0,0.679623," ","integrate(cosh(b*x^2+a)^2/x^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x^{2} + a\right)^{4} + 4 \, \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{3} + \sinh\left(b x^{2} + a\right)^{4} + \sqrt{2} \sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right)^{2} \cosh\left(2 \, a\right) + x \cosh\left(b x^{2} + a\right)^{2} \sinh\left(2 \, a\right) + {\left(x \cosh\left(2 \, a\right) + x \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 2 \, {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(2 \, a\right) + x \cosh\left(b x^{2} + a\right) \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{2} \sqrt{-b} x\right) + \sqrt{2} \sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right)^{2} \cosh\left(2 \, a\right) - x \cosh\left(b x^{2} + a\right)^{2} \sinh\left(2 \, a\right) + {\left(x \cosh\left(2 \, a\right) - x \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 2 \, {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(2 \, a\right) - x \cosh\left(b x^{2} + a\right) \sinh\left(2 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{2} \sqrt{b} x\right) + 2 \, {\left(3 \, \cosh\left(b x^{2} + a\right)^{2} + 1\right)} \sinh\left(b x^{2} + a\right)^{2} + 2 \, \cosh\left(b x^{2} + a\right)^{2} + 4 \, {\left(\cosh\left(b x^{2} + a\right)^{3} + \cosh\left(b x^{2} + a\right)\right)} \sinh\left(b x^{2} + a\right) + 1}{4 \, {\left(x \cosh\left(b x^{2} + a\right)^{2} + 2 \, x \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right) + x \sinh\left(b x^{2} + a\right)^{2}\right)}}"," ",0,"-1/4*(cosh(b*x^2 + a)^4 + 4*cosh(b*x^2 + a)*sinh(b*x^2 + a)^3 + sinh(b*x^2 + a)^4 + sqrt(2)*sqrt(pi)*(x*cosh(b*x^2 + a)^2*cosh(2*a) + x*cosh(b*x^2 + a)^2*sinh(2*a) + (x*cosh(2*a) + x*sinh(2*a))*sinh(b*x^2 + a)^2 + 2*(x*cosh(b*x^2 + a)*cosh(2*a) + x*cosh(b*x^2 + a)*sinh(2*a))*sinh(b*x^2 + a))*sqrt(-b)*erf(sqrt(2)*sqrt(-b)*x) + sqrt(2)*sqrt(pi)*(x*cosh(b*x^2 + a)^2*cosh(2*a) - x*cosh(b*x^2 + a)^2*sinh(2*a) + (x*cosh(2*a) - x*sinh(2*a))*sinh(b*x^2 + a)^2 + 2*(x*cosh(b*x^2 + a)*cosh(2*a) - x*cosh(b*x^2 + a)*sinh(2*a))*sinh(b*x^2 + a))*sqrt(b)*erf(sqrt(2)*sqrt(b)*x) + 2*(3*cosh(b*x^2 + a)^2 + 1)*sinh(b*x^2 + a)^2 + 2*cosh(b*x^2 + a)^2 + 4*(cosh(b*x^2 + a)^3 + cosh(b*x^2 + a))*sinh(b*x^2 + a) + 1)/(x*cosh(b*x^2 + a)^2 + 2*x*cosh(b*x^2 + a)*sinh(b*x^2 + a) + x*sinh(b*x^2 + a)^2)","B",0
14,1,90,0,0.597939," ","integrate(cosh(b*x^2+a)^2/x^3,x, algorithm=""fricas"")","-\frac{\cosh\left(b x^{2} + a\right)^{2} - {\left(b x^{2} {\rm Ei}\left(2 \, b x^{2}\right) - b x^{2} {\rm Ei}\left(-2 \, b x^{2}\right)\right)} \cosh\left(2 \, a\right) + \sinh\left(b x^{2} + a\right)^{2} - {\left(b x^{2} {\rm Ei}\left(2 \, b x^{2}\right) + b x^{2} {\rm Ei}\left(-2 \, b x^{2}\right)\right)} \sinh\left(2 \, a\right) + 1}{4 \, x^{2}}"," ",0,"-1/4*(cosh(b*x^2 + a)^2 - (b*x^2*Ei(2*b*x^2) - b*x^2*Ei(-2*b*x^2))*cosh(2*a) + sinh(b*x^2 + a)^2 - (b*x^2*Ei(2*b*x^2) + b*x^2*Ei(-2*b*x^2))*sinh(2*a) + 1)/x^2","A",0
15,1,96,0,0.759821," ","integrate(x^3*cosh(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{3 \, b x^{2} \sinh\left(b x^{2} + a\right)^{3} - \cosh\left(b x^{2} + a\right)^{3} - 3 \, \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{2} + 9 \, {\left(b x^{2} \cosh\left(b x^{2} + a\right)^{2} + 3 \, b x^{2}\right)} \sinh\left(b x^{2} + a\right) - 27 \, \cosh\left(b x^{2} + a\right)}{72 \, b^{2}}"," ",0,"1/72*(3*b*x^2*sinh(b*x^2 + a)^3 - cosh(b*x^2 + a)^3 - 3*cosh(b*x^2 + a)*sinh(b*x^2 + a)^2 + 9*(b*x^2*cosh(b*x^2 + a)^2 + 3*b*x^2)*sinh(b*x^2 + a) - 27*cosh(b*x^2 + a))/b^2","A",0
16,1,903,0,0.510946," ","integrate(x^2*cosh(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{6 \, b x \cosh\left(b x^{2} + a\right)^{6} + 36 \, b x \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{5} + 6 \, b x \sinh\left(b x^{2} + a\right)^{6} + 54 \, b x \cosh\left(b x^{2} + a\right)^{4} + 18 \, {\left(5 \, b x \cosh\left(b x^{2} + a\right)^{2} + 3 \, b x\right)} \sinh\left(b x^{2} + a\right)^{4} - 54 \, b x \cosh\left(b x^{2} + a\right)^{2} + 24 \, {\left(5 \, b x \cosh\left(b x^{2} + a\right)^{3} + 9 \, b x \cosh\left(b x^{2} + a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + \sqrt{3} \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right)^{3} \cosh\left(3 \, a\right) + {\left(\cosh\left(3 \, a\right) + \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + \cosh\left(b x^{2} + a\right)^{3} \sinh\left(3 \, a\right) + 3 \, {\left(\cosh\left(b x^{2} + a\right) \cosh\left(3 \, a\right) + \cosh\left(b x^{2} + a\right) \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(\cosh\left(b x^{2} + a\right)^{2} \cosh\left(3 \, a\right) + \cosh\left(b x^{2} + a\right)^{2} \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{3} \sqrt{-b} x\right) + \sqrt{3} \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right)^{3} \cosh\left(3 \, a\right) + {\left(\cosh\left(3 \, a\right) - \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} - \cosh\left(b x^{2} + a\right)^{3} \sinh\left(3 \, a\right) + 3 \, {\left(\cosh\left(b x^{2} + a\right) \cosh\left(3 \, a\right) - \cosh\left(b x^{2} + a\right) \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(\cosh\left(b x^{2} + a\right)^{2} \cosh\left(3 \, a\right) - \cosh\left(b x^{2} + a\right)^{2} \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{3} \sqrt{b} x\right) + 27 \, \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right)^{3} \cosh\left(a\right) + {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + \cosh\left(b x^{2} + a\right)^{3} \sinh\left(a\right) + 3 \, {\left(\cosh\left(b x^{2} + a\right) \cosh\left(a\right) + \cosh\left(b x^{2} + a\right) \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(\cosh\left(b x^{2} + a\right)^{2} \cosh\left(a\right) + \cosh\left(b x^{2} + a\right)^{2} \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{-b} x\right) + 27 \, \sqrt{\pi} {\left(\cosh\left(b x^{2} + a\right)^{3} \cosh\left(a\right) + {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} - \cosh\left(b x^{2} + a\right)^{3} \sinh\left(a\right) + 3 \, {\left(\cosh\left(b x^{2} + a\right) \cosh\left(a\right) - \cosh\left(b x^{2} + a\right) \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(\cosh\left(b x^{2} + a\right)^{2} \cosh\left(a\right) - \cosh\left(b x^{2} + a\right)^{2} \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{b} x\right) + 18 \, {\left(5 \, b x \cosh\left(b x^{2} + a\right)^{4} + 18 \, b x \cosh\left(b x^{2} + a\right)^{2} - 3 \, b x\right)} \sinh\left(b x^{2} + a\right)^{2} - 6 \, b x + 36 \, {\left(b x \cosh\left(b x^{2} + a\right)^{5} + 6 \, b x \cosh\left(b x^{2} + a\right)^{3} - 3 \, b x \cosh\left(b x^{2} + a\right)\right)} \sinh\left(b x^{2} + a\right)}{288 \, {\left(b^{2} \cosh\left(b x^{2} + a\right)^{3} + 3 \, b^{2} \cosh\left(b x^{2} + a\right)^{2} \sinh\left(b x^{2} + a\right) + 3 \, b^{2} \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{2} + b^{2} \sinh\left(b x^{2} + a\right)^{3}\right)}}"," ",0,"1/288*(6*b*x*cosh(b*x^2 + a)^6 + 36*b*x*cosh(b*x^2 + a)*sinh(b*x^2 + a)^5 + 6*b*x*sinh(b*x^2 + a)^6 + 54*b*x*cosh(b*x^2 + a)^4 + 18*(5*b*x*cosh(b*x^2 + a)^2 + 3*b*x)*sinh(b*x^2 + a)^4 - 54*b*x*cosh(b*x^2 + a)^2 + 24*(5*b*x*cosh(b*x^2 + a)^3 + 9*b*x*cosh(b*x^2 + a))*sinh(b*x^2 + a)^3 + sqrt(3)*sqrt(pi)*(cosh(b*x^2 + a)^3*cosh(3*a) + (cosh(3*a) + sinh(3*a))*sinh(b*x^2 + a)^3 + cosh(b*x^2 + a)^3*sinh(3*a) + 3*(cosh(b*x^2 + a)*cosh(3*a) + cosh(b*x^2 + a)*sinh(3*a))*sinh(b*x^2 + a)^2 + 3*(cosh(b*x^2 + a)^2*cosh(3*a) + cosh(b*x^2 + a)^2*sinh(3*a))*sinh(b*x^2 + a))*sqrt(-b)*erf(sqrt(3)*sqrt(-b)*x) + sqrt(3)*sqrt(pi)*(cosh(b*x^2 + a)^3*cosh(3*a) + (cosh(3*a) - sinh(3*a))*sinh(b*x^2 + a)^3 - cosh(b*x^2 + a)^3*sinh(3*a) + 3*(cosh(b*x^2 + a)*cosh(3*a) - cosh(b*x^2 + a)*sinh(3*a))*sinh(b*x^2 + a)^2 + 3*(cosh(b*x^2 + a)^2*cosh(3*a) - cosh(b*x^2 + a)^2*sinh(3*a))*sinh(b*x^2 + a))*sqrt(b)*erf(sqrt(3)*sqrt(b)*x) + 27*sqrt(pi)*(cosh(b*x^2 + a)^3*cosh(a) + (cosh(a) + sinh(a))*sinh(b*x^2 + a)^3 + cosh(b*x^2 + a)^3*sinh(a) + 3*(cosh(b*x^2 + a)*cosh(a) + cosh(b*x^2 + a)*sinh(a))*sinh(b*x^2 + a)^2 + 3*(cosh(b*x^2 + a)^2*cosh(a) + cosh(b*x^2 + a)^2*sinh(a))*sinh(b*x^2 + a))*sqrt(-b)*erf(sqrt(-b)*x) + 27*sqrt(pi)*(cosh(b*x^2 + a)^3*cosh(a) + (cosh(a) - sinh(a))*sinh(b*x^2 + a)^3 - cosh(b*x^2 + a)^3*sinh(a) + 3*(cosh(b*x^2 + a)*cosh(a) - cosh(b*x^2 + a)*sinh(a))*sinh(b*x^2 + a)^2 + 3*(cosh(b*x^2 + a)^2*cosh(a) - cosh(b*x^2 + a)^2*sinh(a))*sinh(b*x^2 + a))*sqrt(b)*erf(sqrt(b)*x) + 18*(5*b*x*cosh(b*x^2 + a)^4 + 18*b*x*cosh(b*x^2 + a)^2 - 3*b*x)*sinh(b*x^2 + a)^2 - 6*b*x + 36*(b*x*cosh(b*x^2 + a)^5 + 6*b*x*cosh(b*x^2 + a)^3 - 3*b*x*cosh(b*x^2 + a))*sinh(b*x^2 + a))/(b^2*cosh(b*x^2 + a)^3 + 3*b^2*cosh(b*x^2 + a)^2*sinh(b*x^2 + a) + 3*b^2*cosh(b*x^2 + a)*sinh(b*x^2 + a)^2 + b^2*sinh(b*x^2 + a)^3)","B",0
17,1,38,0,0.516330," ","integrate(x*cosh(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{\sinh\left(b x^{2} + a\right)^{3} + 3 \, {\left(\cosh\left(b x^{2} + a\right)^{2} + 3\right)} \sinh\left(b x^{2} + a\right)}{24 \, b}"," ",0,"1/24*(sinh(b*x^2 + a)^3 + 3*(cosh(b*x^2 + a)^2 + 3)*sinh(b*x^2 + a))/b","A",0
18,1,113,0,0.545212," ","integrate(cosh(b*x^2+a)^3,x, algorithm=""fricas"")","-\frac{\sqrt{3} \sqrt{\pi} \sqrt{-b} {\left(\cosh\left(3 \, a\right) + \sinh\left(3 \, a\right)\right)} \operatorname{erf}\left(\sqrt{3} \sqrt{-b} x\right) - \sqrt{3} \sqrt{\pi} \sqrt{b} {\left(\cosh\left(3 \, a\right) - \sinh\left(3 \, a\right)\right)} \operatorname{erf}\left(\sqrt{3} \sqrt{b} x\right) + 9 \, \sqrt{\pi} \sqrt{-b} {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-b} x\right) - 9 \, \sqrt{\pi} \sqrt{b} {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} \operatorname{erf}\left(\sqrt{b} x\right)}{48 \, b}"," ",0,"-1/48*(sqrt(3)*sqrt(pi)*sqrt(-b)*(cosh(3*a) + sinh(3*a))*erf(sqrt(3)*sqrt(-b)*x) - sqrt(3)*sqrt(pi)*sqrt(b)*(cosh(3*a) - sinh(3*a))*erf(sqrt(3)*sqrt(b)*x) + 9*sqrt(pi)*sqrt(-b)*(cosh(a) + sinh(a))*erf(sqrt(-b)*x) - 9*sqrt(pi)*sqrt(b)*(cosh(a) - sinh(a))*erf(sqrt(b)*x))/b","A",0
19,1,83,0,0.507326," ","integrate(cosh(b*x^2+a)^3/x,x, algorithm=""fricas"")","\frac{1}{16} \, {\left({\rm Ei}\left(3 \, b x^{2}\right) + {\rm Ei}\left(-3 \, b x^{2}\right)\right)} \cosh\left(3 \, a\right) + \frac{3}{16} \, {\left({\rm Ei}\left(b x^{2}\right) + {\rm Ei}\left(-b x^{2}\right)\right)} \cosh\left(a\right) + \frac{1}{16} \, {\left({\rm Ei}\left(3 \, b x^{2}\right) - {\rm Ei}\left(-3 \, b x^{2}\right)\right)} \sinh\left(3 \, a\right) + \frac{3}{16} \, {\left({\rm Ei}\left(b x^{2}\right) - {\rm Ei}\left(-b x^{2}\right)\right)} \sinh\left(a\right)"," ",0,"1/16*(Ei(3*b*x^2) + Ei(-3*b*x^2))*cosh(3*a) + 3/16*(Ei(b*x^2) + Ei(-b*x^2))*cosh(a) + 1/16*(Ei(3*b*x^2) - Ei(-3*b*x^2))*sinh(3*a) + 3/16*(Ei(b*x^2) - Ei(-b*x^2))*sinh(a)","A",0
20,1,891,0,0.514760," ","integrate(cosh(b*x^2+a)^3/x^2,x, algorithm=""fricas"")","-\frac{\cosh\left(b x^{2} + a\right)^{6} + 6 \, \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{5} + \sinh\left(b x^{2} + a\right)^{6} + 3 \, {\left(5 \, \cosh\left(b x^{2} + a\right)^{2} + 1\right)} \sinh\left(b x^{2} + a\right)^{4} + 3 \, \cosh\left(b x^{2} + a\right)^{4} + 4 \, {\left(5 \, \cosh\left(b x^{2} + a\right)^{3} + 3 \, \cosh\left(b x^{2} + a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + \sqrt{3} \sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right)^{3} \cosh\left(3 \, a\right) + x \cosh\left(b x^{2} + a\right)^{3} \sinh\left(3 \, a\right) + {\left(x \cosh\left(3 \, a\right) + x \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + 3 \, {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(3 \, a\right) + x \cosh\left(b x^{2} + a\right) \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(x \cosh\left(b x^{2} + a\right)^{2} \cosh\left(3 \, a\right) + x \cosh\left(b x^{2} + a\right)^{2} \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{3} \sqrt{-b} x\right) + \sqrt{3} \sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right)^{3} \cosh\left(3 \, a\right) - x \cosh\left(b x^{2} + a\right)^{3} \sinh\left(3 \, a\right) + {\left(x \cosh\left(3 \, a\right) - x \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + 3 \, {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(3 \, a\right) - x \cosh\left(b x^{2} + a\right) \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(x \cosh\left(b x^{2} + a\right)^{2} \cosh\left(3 \, a\right) - x \cosh\left(b x^{2} + a\right)^{2} \sinh\left(3 \, a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{3} \sqrt{b} x\right) + 3 \, \sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right)^{3} \cosh\left(a\right) + x \cosh\left(b x^{2} + a\right)^{3} \sinh\left(a\right) + {\left(x \cosh\left(a\right) + x \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + 3 \, {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(a\right) + x \cosh\left(b x^{2} + a\right) \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(x \cosh\left(b x^{2} + a\right)^{2} \cosh\left(a\right) + x \cosh\left(b x^{2} + a\right)^{2} \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{-b} \operatorname{erf}\left(\sqrt{-b} x\right) + 3 \, \sqrt{\pi} {\left(x \cosh\left(b x^{2} + a\right)^{3} \cosh\left(a\right) - x \cosh\left(b x^{2} + a\right)^{3} \sinh\left(a\right) + {\left(x \cosh\left(a\right) - x \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{3} + 3 \, {\left(x \cosh\left(b x^{2} + a\right) \cosh\left(a\right) - x \cosh\left(b x^{2} + a\right) \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, {\left(x \cosh\left(b x^{2} + a\right)^{2} \cosh\left(a\right) - x \cosh\left(b x^{2} + a\right)^{2} \sinh\left(a\right)\right)} \sinh\left(b x^{2} + a\right)\right)} \sqrt{b} \operatorname{erf}\left(\sqrt{b} x\right) + 3 \, {\left(5 \, \cosh\left(b x^{2} + a\right)^{4} + 6 \, \cosh\left(b x^{2} + a\right)^{2} + 1\right)} \sinh\left(b x^{2} + a\right)^{2} + 3 \, \cosh\left(b x^{2} + a\right)^{2} + 6 \, {\left(\cosh\left(b x^{2} + a\right)^{5} + 2 \, \cosh\left(b x^{2} + a\right)^{3} + \cosh\left(b x^{2} + a\right)\right)} \sinh\left(b x^{2} + a\right) + 1}{8 \, {\left(x \cosh\left(b x^{2} + a\right)^{3} + 3 \, x \cosh\left(b x^{2} + a\right)^{2} \sinh\left(b x^{2} + a\right) + 3 \, x \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{2} + x \sinh\left(b x^{2} + a\right)^{3}\right)}}"," ",0,"-1/8*(cosh(b*x^2 + a)^6 + 6*cosh(b*x^2 + a)*sinh(b*x^2 + a)^5 + sinh(b*x^2 + a)^6 + 3*(5*cosh(b*x^2 + a)^2 + 1)*sinh(b*x^2 + a)^4 + 3*cosh(b*x^2 + a)^4 + 4*(5*cosh(b*x^2 + a)^3 + 3*cosh(b*x^2 + a))*sinh(b*x^2 + a)^3 + sqrt(3)*sqrt(pi)*(x*cosh(b*x^2 + a)^3*cosh(3*a) + x*cosh(b*x^2 + a)^3*sinh(3*a) + (x*cosh(3*a) + x*sinh(3*a))*sinh(b*x^2 + a)^3 + 3*(x*cosh(b*x^2 + a)*cosh(3*a) + x*cosh(b*x^2 + a)*sinh(3*a))*sinh(b*x^2 + a)^2 + 3*(x*cosh(b*x^2 + a)^2*cosh(3*a) + x*cosh(b*x^2 + a)^2*sinh(3*a))*sinh(b*x^2 + a))*sqrt(-b)*erf(sqrt(3)*sqrt(-b)*x) + sqrt(3)*sqrt(pi)*(x*cosh(b*x^2 + a)^3*cosh(3*a) - x*cosh(b*x^2 + a)^3*sinh(3*a) + (x*cosh(3*a) - x*sinh(3*a))*sinh(b*x^2 + a)^3 + 3*(x*cosh(b*x^2 + a)*cosh(3*a) - x*cosh(b*x^2 + a)*sinh(3*a))*sinh(b*x^2 + a)^2 + 3*(x*cosh(b*x^2 + a)^2*cosh(3*a) - x*cosh(b*x^2 + a)^2*sinh(3*a))*sinh(b*x^2 + a))*sqrt(b)*erf(sqrt(3)*sqrt(b)*x) + 3*sqrt(pi)*(x*cosh(b*x^2 + a)^3*cosh(a) + x*cosh(b*x^2 + a)^3*sinh(a) + (x*cosh(a) + x*sinh(a))*sinh(b*x^2 + a)^3 + 3*(x*cosh(b*x^2 + a)*cosh(a) + x*cosh(b*x^2 + a)*sinh(a))*sinh(b*x^2 + a)^2 + 3*(x*cosh(b*x^2 + a)^2*cosh(a) + x*cosh(b*x^2 + a)^2*sinh(a))*sinh(b*x^2 + a))*sqrt(-b)*erf(sqrt(-b)*x) + 3*sqrt(pi)*(x*cosh(b*x^2 + a)^3*cosh(a) - x*cosh(b*x^2 + a)^3*sinh(a) + (x*cosh(a) - x*sinh(a))*sinh(b*x^2 + a)^3 + 3*(x*cosh(b*x^2 + a)*cosh(a) - x*cosh(b*x^2 + a)*sinh(a))*sinh(b*x^2 + a)^2 + 3*(x*cosh(b*x^2 + a)^2*cosh(a) - x*cosh(b*x^2 + a)^2*sinh(a))*sinh(b*x^2 + a))*sqrt(b)*erf(sqrt(b)*x) + 3*(5*cosh(b*x^2 + a)^4 + 6*cosh(b*x^2 + a)^2 + 1)*sinh(b*x^2 + a)^2 + 3*cosh(b*x^2 + a)^2 + 6*(cosh(b*x^2 + a)^5 + 2*cosh(b*x^2 + a)^3 + cosh(b*x^2 + a))*sinh(b*x^2 + a) + 1)/(x*cosh(b*x^2 + a)^3 + 3*x*cosh(b*x^2 + a)^2*sinh(b*x^2 + a) + 3*x*cosh(b*x^2 + a)*sinh(b*x^2 + a)^2 + x*sinh(b*x^2 + a)^3)","B",0
21,1,168,0,0.469267," ","integrate(cosh(b*x^2+a)^3/x^3,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x^{2} + a\right)^{3} + 6 \, \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{2} - 3 \, {\left(b x^{2} {\rm Ei}\left(3 \, b x^{2}\right) - b x^{2} {\rm Ei}\left(-3 \, b x^{2}\right)\right)} \cosh\left(3 \, a\right) - 3 \, {\left(b x^{2} {\rm Ei}\left(b x^{2}\right) - b x^{2} {\rm Ei}\left(-b x^{2}\right)\right)} \cosh\left(a\right) - 3 \, {\left(b x^{2} {\rm Ei}\left(3 \, b x^{2}\right) + b x^{2} {\rm Ei}\left(-3 \, b x^{2}\right)\right)} \sinh\left(3 \, a\right) - 3 \, {\left(b x^{2} {\rm Ei}\left(b x^{2}\right) + b x^{2} {\rm Ei}\left(-b x^{2}\right)\right)} \sinh\left(a\right) + 6 \, \cosh\left(b x^{2} + a\right)}{16 \, x^{2}}"," ",0,"-1/16*(2*cosh(b*x^2 + a)^3 + 6*cosh(b*x^2 + a)*sinh(b*x^2 + a)^2 - 3*(b*x^2*Ei(3*b*x^2) - b*x^2*Ei(-3*b*x^2))*cosh(3*a) - 3*(b*x^2*Ei(b*x^2) - b*x^2*Ei(-b*x^2))*cosh(a) - 3*(b*x^2*Ei(3*b*x^2) + b*x^2*Ei(-3*b*x^2))*sinh(3*a) - 3*(b*x^2*Ei(b*x^2) + b*x^2*Ei(-b*x^2))*sinh(a) + 6*cosh(b*x^2 + a))/x^2","B",0
22,1,128,0,1.009104," ","integrate(x*cosh(b*x^2+a)^7,x, algorithm=""fricas"")","\frac{5 \, \sinh\left(b x^{2} + a\right)^{7} + 7 \, {\left(15 \, \cosh\left(b x^{2} + a\right)^{2} + 7\right)} \sinh\left(b x^{2} + a\right)^{5} + 35 \, {\left(5 \, \cosh\left(b x^{2} + a\right)^{4} + 14 \, \cosh\left(b x^{2} + a\right)^{2} + 7\right)} \sinh\left(b x^{2} + a\right)^{3} + 35 \, {\left(\cosh\left(b x^{2} + a\right)^{6} + 7 \, \cosh\left(b x^{2} + a\right)^{4} + 21 \, \cosh\left(b x^{2} + a\right)^{2} + 35\right)} \sinh\left(b x^{2} + a\right)}{4480 \, b}"," ",0,"1/4480*(5*sinh(b*x^2 + a)^7 + 7*(15*cosh(b*x^2 + a)^2 + 7)*sinh(b*x^2 + a)^5 + 35*(5*cosh(b*x^2 + a)^4 + 14*cosh(b*x^2 + a)^2 + 7)*sinh(b*x^2 + a)^3 + 35*(cosh(b*x^2 + a)^6 + 7*cosh(b*x^2 + a)^4 + 21*cosh(b*x^2 + a)^2 + 35)*sinh(b*x^2 + a))/b","B",0
23,1,6,0,0.501156," ","integrate(x^2*cosh(x^3),x, algorithm=""fricas"")","\frac{1}{3} \, \sinh\left(x^{3}\right)"," ",0,"1/3*sinh(x^3)","A",0
24,1,6,0,0.481980," ","integrate(cosh(1/x^5)/x^6,x, algorithm=""fricas"")","-\frac{1}{5} \, \sinh\left(\frac{1}{x^{5}}\right)"," ",0,"-1/5*sinh(x^(-5))","A",0
25,1,58,0,0.556364," ","integrate(cosh(a+b/x),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(b {\rm Ei}\left(\frac{b}{x}\right) - b {\rm Ei}\left(-\frac{b}{x}\right)\right)} \cosh\left(a\right) + x \cosh\left(\frac{a x + b}{x}\right) - \frac{1}{2} \, {\left(b {\rm Ei}\left(\frac{b}{x}\right) + b {\rm Ei}\left(-\frac{b}{x}\right)\right)} \sinh\left(a\right)"," ",0,"-1/2*(b*Ei(b/x) - b*Ei(-b/x))*cosh(a) + x*cosh((a*x + b)/x) - 1/2*(b*Ei(b/x) + b*Ei(-b/x))*sinh(a)","A",0
26,1,39,0,0.501551," ","integrate(cosh(a+b/x)/x,x, algorithm=""fricas"")","-\frac{1}{2} \, {\left({\rm Ei}\left(\frac{b}{x}\right) + {\rm Ei}\left(-\frac{b}{x}\right)\right)} \cosh\left(a\right) - \frac{1}{2} \, {\left({\rm Ei}\left(\frac{b}{x}\right) - {\rm Ei}\left(-\frac{b}{x}\right)\right)} \sinh\left(a\right)"," ",0,"-1/2*(Ei(b/x) + Ei(-b/x))*cosh(a) - 1/2*(Ei(b/x) - Ei(-b/x))*sinh(a)","A",0
27,1,15,0,0.871947," ","integrate(cosh(a+b/x)/x^2,x, algorithm=""fricas"")","-\frac{\sinh\left(\frac{a x + b}{x}\right)}{b}"," ",0,"-sinh((a*x + b)/x)/b","A",0
28,1,33,0,0.415673," ","integrate(cosh(a+b/x)/x^3,x, algorithm=""fricas"")","\frac{x \cosh\left(\frac{a x + b}{x}\right) - b \sinh\left(\frac{a x + b}{x}\right)}{b^{2} x}"," ",0,"(x*cosh((a*x + b)/x) - b*sinh((a*x + b)/x))/(b^2*x)","A",0
29,1,43,0,0.488729," ","integrate(cosh(a+b/x)/x^4,x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(\frac{a x + b}{x}\right) - {\left(b^{2} + 2 \, x^{2}\right)} \sinh\left(\frac{a x + b}{x}\right)}{b^{3} x^{2}}"," ",0,"(2*b*x*cosh((a*x + b)/x) - (b^2 + 2*x^2)*sinh((a*x + b)/x))/(b^3*x^2)","A",0
30,1,225,0,0.688262," ","integrate(cosh(a+b/x^2),x, algorithm=""fricas"")","\frac{x \cosh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} + \sqrt{\pi} {\left(\cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)} \sqrt{-b} \operatorname{erf}\left(\frac{\sqrt{-b}}{x}\right) + \sqrt{\pi} {\left(\cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) - \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)} \sqrt{b} \operatorname{erf}\left(\frac{\sqrt{b}}{x}\right) + 2 \, x \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) + x \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} + x}{2 \, {\left(\cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)}}"," ",0,"1/2*(x*cosh((a*x^2 + b)/x^2)^2 + sqrt(pi)*(cosh(a)*cosh((a*x^2 + b)/x^2) + cosh((a*x^2 + b)/x^2)*sinh(a) + (cosh(a) + sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(-b)*erf(sqrt(-b)/x) + sqrt(pi)*(cosh(a)*cosh((a*x^2 + b)/x^2) - cosh((a*x^2 + b)/x^2)*sinh(a) + (cosh(a) - sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(b)*erf(sqrt(b)/x) + 2*x*cosh((a*x^2 + b)/x^2)*sinh((a*x^2 + b)/x^2) + x*sinh((a*x^2 + b)/x^2)^2 + x)/(cosh((a*x^2 + b)/x^2) + sinh((a*x^2 + b)/x^2))","B",0
31,1,39,0,0.531314," ","integrate(cosh(a+b/x^2)/x,x, algorithm=""fricas"")","-\frac{1}{4} \, {\left({\rm Ei}\left(\frac{b}{x^{2}}\right) + {\rm Ei}\left(-\frac{b}{x^{2}}\right)\right)} \cosh\left(a\right) - \frac{1}{4} \, {\left({\rm Ei}\left(\frac{b}{x^{2}}\right) - {\rm Ei}\left(-\frac{b}{x^{2}}\right)\right)} \sinh\left(a\right)"," ",0,"-1/4*(Ei(b/x^2) + Ei(-b/x^2))*cosh(a) - 1/4*(Ei(b/x^2) - Ei(-b/x^2))*sinh(a)","A",0
32,1,53,0,0.604151," ","integrate(cosh(a+b/x^2)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{-b} {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} \operatorname{erf}\left(\frac{\sqrt{-b}}{x}\right) - \sqrt{\pi} \sqrt{b} {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} \operatorname{erf}\left(\frac{\sqrt{b}}{x}\right)}{4 \, b}"," ",0,"1/4*(sqrt(pi)*sqrt(-b)*(cosh(a) + sinh(a))*erf(sqrt(-b)/x) - sqrt(pi)*sqrt(b)*(cosh(a) - sinh(a))*erf(sqrt(b)/x))/b","A",0
33,1,17,0,0.502864," ","integrate(cosh(a+b/x^2)/x^3,x, algorithm=""fricas"")","-\frac{\sinh\left(\frac{a x^{2} + b}{x^{2}}\right)}{2 \, b}"," ",0,"-1/2*sinh((a*x^2 + b)/x^2)/b","A",0
34,1,250,0,0.462008," ","integrate(cosh(a+b/x^2)/x^4,x, algorithm=""fricas"")","-\frac{2 \, b \cosh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} + \sqrt{\pi} {\left(x \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + x \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(x \cosh\left(a\right) + x \sinh\left(a\right)\right)} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)} \sqrt{-b} \operatorname{erf}\left(\frac{\sqrt{-b}}{x}\right) + \sqrt{\pi} {\left(x \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) - x \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(x \cosh\left(a\right) - x \sinh\left(a\right)\right)} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)} \sqrt{b} \operatorname{erf}\left(\frac{\sqrt{b}}{x}\right) + 4 \, b \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) + 2 \, b \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} - 2 \, b}{8 \, {\left(b^{2} x \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + b^{2} x \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)}}"," ",0,"-1/8*(2*b*cosh((a*x^2 + b)/x^2)^2 + sqrt(pi)*(x*cosh(a)*cosh((a*x^2 + b)/x^2) + x*cosh((a*x^2 + b)/x^2)*sinh(a) + (x*cosh(a) + x*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(-b)*erf(sqrt(-b)/x) + sqrt(pi)*(x*cosh(a)*cosh((a*x^2 + b)/x^2) - x*cosh((a*x^2 + b)/x^2)*sinh(a) + (x*cosh(a) - x*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(b)*erf(sqrt(b)/x) + 4*b*cosh((a*x^2 + b)/x^2)*sinh((a*x^2 + b)/x^2) + 2*b*sinh((a*x^2 + b)/x^2)^2 - 2*b)/(b^2*x*cosh((a*x^2 + b)/x^2) + b^2*x*sinh((a*x^2 + b)/x^2))","B",0
35,0,0,0,0.409332," ","integrate(cosh(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x^{n} + a\right), x\right)"," ",0,"integral(cosh(b*x^n + a), x)","F",0
36,1,54,0,0.427952," ","integrate(cosh(a+b*x^n)/x,x, algorithm=""fricas"")","\frac{{\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} {\rm Ei}\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right)\right) + {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} {\rm Ei}\left(-b \cosh\left(n \log\left(x\right)\right) - b \sinh\left(n \log\left(x\right)\right)\right)}{2 \, n}"," ",0,"1/2*((cosh(a) + sinh(a))*Ei(b*cosh(n*log(x)) + b*sinh(n*log(x))) + (cosh(a) - sinh(a))*Ei(-b*cosh(n*log(x)) - b*sinh(n*log(x))))/n","B",0
37,0,0,0,0.475299," ","integrate(cosh(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral(cosh(b*x^n + a)^2, x)","F",0
38,1,69,0,0.496138," ","integrate(cosh(a+b*x^n)^2/x,x, algorithm=""fricas"")","\frac{{\left(\cosh\left(2 \, a\right) + \sinh\left(2 \, a\right)\right)} {\rm Ei}\left(2 \, b \cosh\left(n \log\left(x\right)\right) + 2 \, b \sinh\left(n \log\left(x\right)\right)\right) + {\left(\cosh\left(2 \, a\right) - \sinh\left(2 \, a\right)\right)} {\rm Ei}\left(-2 \, b \cosh\left(n \log\left(x\right)\right) - 2 \, b \sinh\left(n \log\left(x\right)\right)\right) + 2 \, n \log\left(x\right)}{4 \, n}"," ",0,"1/4*((cosh(2*a) + sinh(2*a))*Ei(2*b*cosh(n*log(x)) + 2*b*sinh(n*log(x))) + (cosh(2*a) - sinh(2*a))*Ei(-2*b*cosh(n*log(x)) - 2*b*sinh(n*log(x))) + 2*n*log(x))/n","A",0
39,0,0,0,0.545945," ","integrate(cosh(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\cosh\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral(cosh(b*x^n + a)^3, x)","F",0
40,1,114,0,0.640680," ","integrate(cosh(a+b*x^n)^3/x,x, algorithm=""fricas"")","\frac{{\left(\cosh\left(3 \, a\right) + \sinh\left(3 \, a\right)\right)} {\rm Ei}\left(3 \, b \cosh\left(n \log\left(x\right)\right) + 3 \, b \sinh\left(n \log\left(x\right)\right)\right) + 3 \, {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} {\rm Ei}\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right)\right) + 3 \, {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} {\rm Ei}\left(-b \cosh\left(n \log\left(x\right)\right) - b \sinh\left(n \log\left(x\right)\right)\right) + {\left(\cosh\left(3 \, a\right) - \sinh\left(3 \, a\right)\right)} {\rm Ei}\left(-3 \, b \cosh\left(n \log\left(x\right)\right) - 3 \, b \sinh\left(n \log\left(x\right)\right)\right)}{8 \, n}"," ",0,"1/8*((cosh(3*a) + sinh(3*a))*Ei(3*b*cosh(n*log(x)) + 3*b*sinh(n*log(x))) + 3*(cosh(a) + sinh(a))*Ei(b*cosh(n*log(x)) + b*sinh(n*log(x))) + 3*(cosh(a) - sinh(a))*Ei(-b*cosh(n*log(x)) - b*sinh(n*log(x))) + (cosh(3*a) - sinh(3*a))*Ei(-3*b*cosh(n*log(x)) - 3*b*sinh(n*log(x))))/n","A",0
41,0,0,0,0.528631," ","integrate((e*x)^m*(b*cosh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \left(b \cosh\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^m*(b*cosh(d*x^n + c))^p, x)","F",0
42,0,0,0,0.606456," ","integrate((e*x)^m*(a+b*cosh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} {\left(b \cosh\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^m*(b*cosh(d*x^n + c) + a)^p, x)","F",0
43,0,0,0,0.708384," ","integrate((e*x)^(-1+n)*(b*cosh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{n - 1} \left(b \cosh\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^(n - 1)*(b*cosh(d*x^n + c))^p, x)","F",0
44,0,0,0,0.546703," ","integrate((e*x)^(-1+2*n)*(b*cosh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{2 \, n - 1} \left(b \cosh\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^(2*n - 1)*(b*cosh(d*x^n + c))^p, x)","F",0
45,0,0,0,0.515002," ","integrate((e*x)^(-1+n)*(a+b*cosh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{n - 1} {\left(b \cosh\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^(n - 1)*(b*cosh(d*x^n + c) + a)^p, x)","F",0
46,0,0,0,0.555540," ","integrate((e*x)^(-1+2*n)*(a+b*cosh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{2 \, n - 1} {\left(b \cosh\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^(2*n - 1)*(b*cosh(d*x^n + c) + a)^p, x)","F",0
47,0,0,0,0.490406," ","integrate(x^m*cosh(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x^{n} + a\right), x\right)"," ",0,"integral(x^m*cosh(b*x^n + a), x)","F",0
48,0,0,0,0.398849," ","integrate(x^m*cosh(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral(x^m*cosh(b*x^n + a)^2, x)","F",0
49,0,0,0,0.603040," ","integrate(x^m*cosh(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \cosh\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral(x^m*cosh(b*x^n + a)^3, x)","F",0
50,1,140,0,0.599979," ","integrate(x^(-1-n)*cosh(a+b*x^n),x, algorithm=""fricas"")","\frac{{\left({\left(b \cosh\left(a\right) + b \sinh\left(a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(a\right) + b \sinh\left(a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right)\right) - {\left({\left(b \cosh\left(a\right) - b \sinh\left(a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(a\right) - b \sinh\left(a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(-b \cosh\left(n \log\left(x\right)\right) - b \sinh\left(n \log\left(x\right)\right)\right) - 2 \, \cosh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)}{2 \, {\left(n \cosh\left(n \log\left(x\right)\right) + n \sinh\left(n \log\left(x\right)\right)\right)}}"," ",0,"1/2*(((b*cosh(a) + b*sinh(a))*cosh(n*log(x)) + (b*cosh(a) + b*sinh(a))*sinh(n*log(x)))*Ei(b*cosh(n*log(x)) + b*sinh(n*log(x))) - ((b*cosh(a) - b*sinh(a))*cosh(n*log(x)) + (b*cosh(a) - b*sinh(a))*sinh(n*log(x)))*Ei(-b*cosh(n*log(x)) - b*sinh(n*log(x))) - 2*cosh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a))/(n*cosh(n*log(x)) + n*sinh(n*log(x)))","B",0
51,1,182,0,0.691681," ","integrate(x^(-1-n)*cosh(a+b*x^n)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b \cosh\left(2 \, a\right) + b \sinh\left(2 \, a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(2 \, a\right) + b \sinh\left(2 \, a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(2 \, b \cosh\left(n \log\left(x\right)\right) + 2 \, b \sinh\left(n \log\left(x\right)\right)\right) - {\left({\left(b \cosh\left(2 \, a\right) - b \sinh\left(2 \, a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(2 \, a\right) - b \sinh\left(2 \, a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(-2 \, b \cosh\left(n \log\left(x\right)\right) - 2 \, b \sinh\left(n \log\left(x\right)\right)\right) - \cosh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)^{2} - \sinh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)^{2} - 1}{2 \, {\left(n \cosh\left(n \log\left(x\right)\right) + n \sinh\left(n \log\left(x\right)\right)\right)}}"," ",0,"1/2*(((b*cosh(2*a) + b*sinh(2*a))*cosh(n*log(x)) + (b*cosh(2*a) + b*sinh(2*a))*sinh(n*log(x)))*Ei(2*b*cosh(n*log(x)) + 2*b*sinh(n*log(x))) - ((b*cosh(2*a) - b*sinh(2*a))*cosh(n*log(x)) + (b*cosh(2*a) - b*sinh(2*a))*sinh(n*log(x)))*Ei(-2*b*cosh(n*log(x)) - 2*b*sinh(n*log(x))) - cosh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a)^2 - sinh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a)^2 - 1)/(n*cosh(n*log(x)) + n*sinh(n*log(x)))","B",0
52,1,320,0,0.576988," ","integrate(x^(-1-n)*cosh(a+b*x^n)^3,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)^{3} + 6 \, \cosh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right) \sinh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)^{2} - 3 \, {\left({\left(b \cosh\left(3 \, a\right) + b \sinh\left(3 \, a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(3 \, a\right) + b \sinh\left(3 \, a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(3 \, b \cosh\left(n \log\left(x\right)\right) + 3 \, b \sinh\left(n \log\left(x\right)\right)\right) - 3 \, {\left({\left(b \cosh\left(a\right) + b \sinh\left(a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(a\right) + b \sinh\left(a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right)\right) + 3 \, {\left({\left(b \cosh\left(a\right) - b \sinh\left(a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(a\right) - b \sinh\left(a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(-b \cosh\left(n \log\left(x\right)\right) - b \sinh\left(n \log\left(x\right)\right)\right) + 3 \, {\left({\left(b \cosh\left(3 \, a\right) - b \sinh\left(3 \, a\right)\right)} \cosh\left(n \log\left(x\right)\right) + {\left(b \cosh\left(3 \, a\right) - b \sinh\left(3 \, a\right)\right)} \sinh\left(n \log\left(x\right)\right)\right)} {\rm Ei}\left(-3 \, b \cosh\left(n \log\left(x\right)\right) - 3 \, b \sinh\left(n \log\left(x\right)\right)\right) + 6 \, \cosh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)}{8 \, {\left(n \cosh\left(n \log\left(x\right)\right) + n \sinh\left(n \log\left(x\right)\right)\right)}}"," ",0,"-1/8*(2*cosh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a)^3 + 6*cosh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a)*sinh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a)^2 - 3*((b*cosh(3*a) + b*sinh(3*a))*cosh(n*log(x)) + (b*cosh(3*a) + b*sinh(3*a))*sinh(n*log(x)))*Ei(3*b*cosh(n*log(x)) + 3*b*sinh(n*log(x))) - 3*((b*cosh(a) + b*sinh(a))*cosh(n*log(x)) + (b*cosh(a) + b*sinh(a))*sinh(n*log(x)))*Ei(b*cosh(n*log(x)) + b*sinh(n*log(x))) + 3*((b*cosh(a) - b*sinh(a))*cosh(n*log(x)) + (b*cosh(a) - b*sinh(a))*sinh(n*log(x)))*Ei(-b*cosh(n*log(x)) - b*sinh(n*log(x))) + 3*((b*cosh(3*a) - b*sinh(3*a))*cosh(n*log(x)) + (b*cosh(3*a) - b*sinh(3*a))*sinh(n*log(x)))*Ei(-3*b*cosh(n*log(x)) - 3*b*sinh(n*log(x))) + 6*cosh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a))/(n*cosh(n*log(x)) + n*sinh(n*log(x)))","B",0
53,1,98,0,0.478857," ","integrate(x^(-1+1/2*n)*cosh(a+b*x^n),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b} {\left(\cosh\left(a\right) + \sinh\left(a\right)\right)} \operatorname{erf}\left(\sqrt{-b} x \cosh\left(\frac{1}{2} \, {\left(n - 2\right)} \log\left(x\right)\right) + \sqrt{-b} x \sinh\left(\frac{1}{2} \, {\left(n - 2\right)} \log\left(x\right)\right)\right) - \sqrt{\pi} \sqrt{b} {\left(\cosh\left(a\right) - \sinh\left(a\right)\right)} \operatorname{erf}\left(\sqrt{b} x \cosh\left(\frac{1}{2} \, {\left(n - 2\right)} \log\left(x\right)\right) + \sqrt{b} x \sinh\left(\frac{1}{2} \, {\left(n - 2\right)} \log\left(x\right)\right)\right)}{2 \, b n}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b)*(cosh(a) + sinh(a))*erf(sqrt(-b)*x*cosh(1/2*(n - 2)*log(x)) + sqrt(-b)*x*sinh(1/2*(n - 2)*log(x))) - sqrt(pi)*sqrt(b)*(cosh(a) - sinh(a))*erf(sqrt(b)*x*cosh(1/2*(n - 2)*log(x)) + sqrt(b)*x*sinh(1/2*(n - 2)*log(x))))/(b*n)","A",0
54,1,164,0,0.536343," ","integrate(x^2*cosh((b*x+a)^2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{\pi} {\left(2 \, a^{2} + 1\right)} \sqrt{b^{2}} \operatorname{erf}\left(\frac{\sqrt{b^{2}} {\left(b x + a\right)}}{b}\right) e^{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} + \sqrt{\pi} {\left(2 \, a^{2} - 1\right)} \sqrt{b^{2}} \operatorname{erfi}\left(\frac{\sqrt{b^{2}} {\left(b x + a\right)}}{b}\right) e^{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} - 2 \, b^{2} x + 2 \, a b + 2 \, {\left(b^{2} x - a b\right)} e^{\left(2 \, b^{2} x^{2} + 4 \, a b x + 2 \, a^{2}\right)}\right)} e^{\left(-b^{2} x^{2} - 2 \, a b x - a^{2}\right)}}{8 \, b^{4}}"," ",0,"1/8*(sqrt(pi)*(2*a^2 + 1)*sqrt(b^2)*erf(sqrt(b^2)*(b*x + a)/b)*e^(b^2*x^2 + 2*a*b*x + a^2) + sqrt(pi)*(2*a^2 - 1)*sqrt(b^2)*erfi(sqrt(b^2)*(b*x + a)/b)*e^(b^2*x^2 + 2*a*b*x + a^2) - 2*b^2*x + 2*a*b + 2*(b^2*x - a*b)*e^(2*b^2*x^2 + 4*a*b*x + 2*a^2))*e^(-b^2*x^2 - 2*a*b*x - a^2)/b^4","A",0
55,1,134,0,0.657020," ","integrate(x*cosh((b*x+a)^2),x, algorithm=""fricas"")","-\frac{{\left(\sqrt{\pi} a \sqrt{b^{2}} \operatorname{erf}\left(\frac{\sqrt{b^{2}} {\left(b x + a\right)}}{b}\right) e^{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} + \sqrt{\pi} a \sqrt{b^{2}} \operatorname{erfi}\left(\frac{\sqrt{b^{2}} {\left(b x + a\right)}}{b}\right) e^{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} - b e^{\left(2 \, b^{2} x^{2} + 4 \, a b x + 2 \, a^{2}\right)} + b\right)} e^{\left(-b^{2} x^{2} - 2 \, a b x - a^{2}\right)}}{4 \, b^{3}}"," ",0,"-1/4*(sqrt(pi)*a*sqrt(b^2)*erf(sqrt(b^2)*(b*x + a)/b)*e^(b^2*x^2 + 2*a*b*x + a^2) + sqrt(pi)*a*sqrt(b^2)*erfi(sqrt(b^2)*(b*x + a)/b)*e^(b^2*x^2 + 2*a*b*x + a^2) - b*e^(2*b^2*x^2 + 4*a*b*x + 2*a^2) + b)*e^(-b^2*x^2 - 2*a*b*x - a^2)/b^3","B",0
56,1,54,0,1.144976," ","integrate(cosh((b*x+a)^2),x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{b^{2}} \operatorname{erf}\left(\frac{\sqrt{b^{2}} {\left(b x + a\right)}}{b}\right) + \sqrt{\pi} \sqrt{b^{2}} \operatorname{erfi}\left(\frac{\sqrt{b^{2}} {\left(b x + a\right)}}{b}\right)}{4 \, b^{2}}"," ",0,"1/4*(sqrt(pi)*sqrt(b^2)*erf(sqrt(b^2)*(b*x + a)/b) + sqrt(pi)*sqrt(b^2)*erfi(sqrt(b^2)*(b*x + a)/b))/b^2","A",0
57,0,0,0,0.519733," ","integrate(cosh((b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{x}, x\right)"," ",0,"integral(cosh(b^2*x^2 + 2*a*b*x + a^2)/x, x)","F",0
58,0,0,0,0.662526," ","integrate(cosh((b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cosh\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{x^{2}}, x\right)"," ",0,"integral(cosh(b^2*x^2 + 2*a*b*x + a^2)/x^2, x)","F",0
59,1,104,0,0.503226," ","integrate(x^2*cosh(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(b^{5} d^{2} x^{2} + 20 \, b^{3} d x + 8 \, b^{3} c + 120 \, b\right)} \sqrt{d x + c} \sinh\left(\sqrt{d x + c} b + a\right) - {\left(5 \, b^{4} d^{2} x^{2} + 48 \, b^{2} c + 4 \, {\left(b^{4} c + 15 \, b^{2}\right)} d x + 120\right)} \cosh\left(\sqrt{d x + c} b + a\right)\right)}}{b^{6} d^{3}}"," ",0,"2*((b^5*d^2*x^2 + 20*b^3*d*x + 8*b^3*c + 120*b)*sqrt(d*x + c)*sinh(sqrt(d*x + c)*b + a) - (5*b^4*d^2*x^2 + 48*b^2*c + 4*(b^4*c + 15*b^2)*d*x + 120)*cosh(sqrt(d*x + c)*b + a))/(b^6*d^3)","A",0
60,1,68,0,0.550654," ","integrate(x*cosh(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(b^{3} d x + 6 \, b\right)} \sqrt{d x + c} \sinh\left(\sqrt{d x + c} b + a\right) - {\left(3 \, b^{2} d x + 2 \, b^{2} c + 6\right)} \cosh\left(\sqrt{d x + c} b + a\right)\right)}}{b^{4} d^{2}}"," ",0,"2*((b^3*d*x + 6*b)*sqrt(d*x + c)*sinh(sqrt(d*x + c)*b + a) - (3*b^2*d*x + 2*b^2*c + 6)*cosh(sqrt(d*x + c)*b + a))/(b^4*d^2)","A",0
61,1,44,0,0.473431," ","integrate(cosh(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{d x + c} b \sinh\left(\sqrt{d x + c} b + a\right) - \cosh\left(\sqrt{d x + c} b + a\right)\right)}}{b^{2} d}"," ",0,"2*(sqrt(d*x + c)*b*sinh(sqrt(d*x + c)*b + a) - cosh(sqrt(d*x + c)*b + a))/(b^2*d)","A",0
62,1,217,0,0.923883," ","integrate(cosh(a+b*(d*x+c)^(1/2))/x,x, algorithm=""fricas"")","\frac{1}{2} \, {\left({\rm Ei}\left(\sqrt{d x + c} b - \sqrt{b^{2} c}\right) + {\rm Ei}\left(-\sqrt{d x + c} b + \sqrt{b^{2} c}\right)\right)} \cosh\left(a + \sqrt{b^{2} c}\right) + \frac{1}{2} \, {\left({\rm Ei}\left(\sqrt{d x + c} b + \sqrt{b^{2} c}\right) + {\rm Ei}\left(-\sqrt{d x + c} b - \sqrt{b^{2} c}\right)\right)} \cosh\left(-a + \sqrt{b^{2} c}\right) + \frac{1}{2} \, {\left({\rm Ei}\left(\sqrt{d x + c} b - \sqrt{b^{2} c}\right) - {\rm Ei}\left(-\sqrt{d x + c} b + \sqrt{b^{2} c}\right)\right)} \sinh\left(a + \sqrt{b^{2} c}\right) - \frac{1}{2} \, {\left({\rm Ei}\left(\sqrt{d x + c} b + \sqrt{b^{2} c}\right) - {\rm Ei}\left(-\sqrt{d x + c} b - \sqrt{b^{2} c}\right)\right)} \sinh\left(-a + \sqrt{b^{2} c}\right)"," ",0,"1/2*(Ei(sqrt(d*x + c)*b - sqrt(b^2*c)) + Ei(-sqrt(d*x + c)*b + sqrt(b^2*c)))*cosh(a + sqrt(b^2*c)) + 1/2*(Ei(sqrt(d*x + c)*b + sqrt(b^2*c)) + Ei(-sqrt(d*x + c)*b - sqrt(b^2*c)))*cosh(-a + sqrt(b^2*c)) + 1/2*(Ei(sqrt(d*x + c)*b - sqrt(b^2*c)) - Ei(-sqrt(d*x + c)*b + sqrt(b^2*c)))*sinh(a + sqrt(b^2*c)) - 1/2*(Ei(sqrt(d*x + c)*b + sqrt(b^2*c)) - Ei(-sqrt(d*x + c)*b - sqrt(b^2*c)))*sinh(-a + sqrt(b^2*c))","B",0
63,1,317,0,0.582452," ","integrate(cosh(a+b*(d*x+c)^(1/2))/x^2,x, algorithm=""fricas"")","-\frac{4 \, c \cosh\left(\sqrt{d x + c} b + a\right) - {\left(\sqrt{b^{2} c} d x {\rm Ei}\left(\sqrt{d x + c} b - \sqrt{b^{2} c}\right) - \sqrt{b^{2} c} d x {\rm Ei}\left(-\sqrt{d x + c} b + \sqrt{b^{2} c}\right)\right)} \cosh\left(a + \sqrt{b^{2} c}\right) + {\left(\sqrt{b^{2} c} d x {\rm Ei}\left(\sqrt{d x + c} b + \sqrt{b^{2} c}\right) - \sqrt{b^{2} c} d x {\rm Ei}\left(-\sqrt{d x + c} b - \sqrt{b^{2} c}\right)\right)} \cosh\left(-a + \sqrt{b^{2} c}\right) - {\left(\sqrt{b^{2} c} d x {\rm Ei}\left(\sqrt{d x + c} b - \sqrt{b^{2} c}\right) + \sqrt{b^{2} c} d x {\rm Ei}\left(-\sqrt{d x + c} b + \sqrt{b^{2} c}\right)\right)} \sinh\left(a + \sqrt{b^{2} c}\right) - {\left(\sqrt{b^{2} c} d x {\rm Ei}\left(\sqrt{d x + c} b + \sqrt{b^{2} c}\right) + \sqrt{b^{2} c} d x {\rm Ei}\left(-\sqrt{d x + c} b - \sqrt{b^{2} c}\right)\right)} \sinh\left(-a + \sqrt{b^{2} c}\right)}{4 \, c x}"," ",0,"-1/4*(4*c*cosh(sqrt(d*x + c)*b + a) - (sqrt(b^2*c)*d*x*Ei(sqrt(d*x + c)*b - sqrt(b^2*c)) - sqrt(b^2*c)*d*x*Ei(-sqrt(d*x + c)*b + sqrt(b^2*c)))*cosh(a + sqrt(b^2*c)) + (sqrt(b^2*c)*d*x*Ei(sqrt(d*x + c)*b + sqrt(b^2*c)) - sqrt(b^2*c)*d*x*Ei(-sqrt(d*x + c)*b - sqrt(b^2*c)))*cosh(-a + sqrt(b^2*c)) - (sqrt(b^2*c)*d*x*Ei(sqrt(d*x + c)*b - sqrt(b^2*c)) + sqrt(b^2*c)*d*x*Ei(-sqrt(d*x + c)*b + sqrt(b^2*c)))*sinh(a + sqrt(b^2*c)) - (sqrt(b^2*c)*d*x*Ei(sqrt(d*x + c)*b + sqrt(b^2*c)) + sqrt(b^2*c)*d*x*Ei(-sqrt(d*x + c)*b - sqrt(b^2*c)))*sinh(-a + sqrt(b^2*c)))/(c*x)","B",0
64,1,181,0,1.023863," ","integrate(x^2*cosh(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","-\frac{3 \, {\left(2 \, {\left(3360 \, b^{3} d x + 3240 \, b^{3} c + 12 \, {\left(14 \, b^{5} d x + 9 \, b^{5} c\right)} {\left(d x + c\right)}^{\frac{2}{3}} + {\left(4 \, b^{7} d^{2} x^{2} + 3 \, b^{7} c d x + 20160 \, b\right)} {\left(d x + c\right)}^{\frac{1}{3}}\right)} \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - {\left(56 \, b^{6} d^{2} x^{2} + 72 \, b^{6} c d x + 18 \, b^{6} c^{2} + {\left(b^{8} d^{2} x^{2} + 20160 \, b^{2}\right)} {\left(d x + c\right)}^{\frac{2}{3}} + 240 \, {\left(7 \, b^{4} d x + 6 \, b^{4} c\right)} {\left(d x + c\right)}^{\frac{1}{3}} + 40320\right)} \sinh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{9} d^{3}}"," ",0,"-3*(2*(3360*b^3*d*x + 3240*b^3*c + 12*(14*b^5*d*x + 9*b^5*c)*(d*x + c)^(2/3) + (4*b^7*d^2*x^2 + 3*b^7*c*d*x + 20160*b)*(d*x + c)^(1/3))*cosh((d*x + c)^(1/3)*b + a) - (56*b^6*d^2*x^2 + 72*b^6*c*d*x + 18*b^6*c^2 + (b^8*d^2*x^2 + 20160*b^2)*(d*x + c)^(2/3) + 240*(7*b^4*d*x + 6*b^4*c)*(d*x + c)^(1/3) + 40320)*sinh((d*x + c)^(1/3)*b + a))/(b^9*d^3)","A",0
65,1,109,0,0.559160," ","integrate(x*cosh(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","-\frac{3 \, {\left({\left(60 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + {\left(5 \, b^{4} d x + 3 \, b^{4} c\right)} {\left(d x + c\right)}^{\frac{1}{3}} + 120\right)} \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - {\left({\left(d x + c\right)}^{\frac{2}{3}} b^{5} d x + 20 \, b^{3} d x + 18 \, b^{3} c + 120 \, {\left(d x + c\right)}^{\frac{1}{3}} b\right)} \sinh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{6} d^{2}}"," ",0,"-3*((60*(d*x + c)^(2/3)*b^2 + (5*b^4*d*x + 3*b^4*c)*(d*x + c)^(1/3) + 120)*cosh((d*x + c)^(1/3)*b + a) - ((d*x + c)^(2/3)*b^5*d*x + 20*b^3*d*x + 18*b^3*c + 120*(d*x + c)^(1/3)*b)*sinh((d*x + c)^(1/3)*b + a))/(b^6*d^2)","A",0
66,1,58,0,0.465486," ","integrate(cosh(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","-\frac{3 \, {\left(2 \, {\left(d x + c\right)}^{\frac{1}{3}} b \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - {\left({\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 2\right)} \sinh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{3} d}"," ",0,"-3*(2*(d*x + c)^(1/3)*b*cosh((d*x + c)^(1/3)*b + a) - ((d*x + c)^(2/3)*b^2 + 2)*sinh((d*x + c)^(1/3)*b + a))/(b^3*d)","A",0
67,1,503,0,0.768835," ","integrate(cosh(a+b*(d*x+c)^(1/3))/x,x, algorithm=""fricas"")","\frac{1}{2} \, {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} - a\right) + \frac{1}{2} \, {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} + a\right) + \frac{1}{2} \, {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} + a\right) + \frac{1}{2} \, {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} - a\right) + \frac{1}{2} \, {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \left(b^{3} c\right)^{\frac{1}{3}}\right) \cosh\left(a + \left(b^{3} c\right)^{\frac{1}{3}}\right) + \frac{1}{2} \, {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \left(-b^{3} c\right)^{\frac{1}{3}}\right) \cosh\left(-a + \left(-b^{3} c\right)^{\frac{1}{3}}\right) + \frac{1}{2} \, {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} - a\right) + \frac{1}{2} \, {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} + a\right) - \frac{1}{2} \, {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} + a\right) - \frac{1}{2} \, {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} - a\right) - \frac{1}{2} \, {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \left(b^{3} c\right)^{\frac{1}{3}}\right) \sinh\left(a + \left(b^{3} c\right)^{\frac{1}{3}}\right) - \frac{1}{2} \, {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \left(-b^{3} c\right)^{\frac{1}{3}}\right) \sinh\left(-a + \left(-b^{3} c\right)^{\frac{1}{3}}\right)"," ",0,"1/2*Ei(-(d*x + c)^(1/3)*b - 1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1))*cosh(1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1) - a) + 1/2*Ei((d*x + c)^(1/3)*b - 1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1))*cosh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1) + a) + 1/2*Ei(-(d*x + c)^(1/3)*b + 1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1))*cosh(1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1) + a) + 1/2*Ei((d*x + c)^(1/3)*b + 1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1))*cosh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1) - a) + 1/2*Ei(-(d*x + c)^(1/3)*b + (b^3*c)^(1/3))*cosh(a + (b^3*c)^(1/3)) + 1/2*Ei((d*x + c)^(1/3)*b + (-b^3*c)^(1/3))*cosh(-a + (-b^3*c)^(1/3)) + 1/2*Ei(-(d*x + c)^(1/3)*b - 1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1))*sinh(1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1) - a) + 1/2*Ei((d*x + c)^(1/3)*b - 1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1))*sinh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1) + a) - 1/2*Ei(-(d*x + c)^(1/3)*b + 1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1))*sinh(1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1) + a) - 1/2*Ei((d*x + c)^(1/3)*b + 1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1))*sinh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1) - a) - 1/2*Ei(-(d*x + c)^(1/3)*b + (b^3*c)^(1/3))*sinh(a + (b^3*c)^(1/3)) - 1/2*Ei((d*x + c)^(1/3)*b + (-b^3*c)^(1/3))*sinh(-a + (-b^3*c)^(1/3))","B",0
68,1,706,0,0.520474," ","integrate(cosh(a+b*(d*x+c)^(1/3))/x^2,x, algorithm=""fricas"")","-\frac{2 \, \left(b^{3} c\right)^{\frac{1}{3}} d x {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \left(b^{3} c\right)^{\frac{1}{3}}\right) \cosh\left(a + \left(b^{3} c\right)^{\frac{1}{3}}\right) + 2 \, \left(-b^{3} c\right)^{\frac{1}{3}} d x {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \left(-b^{3} c\right)^{\frac{1}{3}}\right) \cosh\left(-a + \left(-b^{3} c\right)^{\frac{1}{3}}\right) - 2 \, \left(b^{3} c\right)^{\frac{1}{3}} d x {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \left(b^{3} c\right)^{\frac{1}{3}}\right) \sinh\left(a + \left(b^{3} c\right)^{\frac{1}{3}}\right) - 2 \, \left(-b^{3} c\right)^{\frac{1}{3}} d x {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \left(-b^{3} c\right)^{\frac{1}{3}}\right) \sinh\left(-a + \left(-b^{3} c\right)^{\frac{1}{3}}\right) - \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x + d x\right)} {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} - a\right) - \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x + d x\right)} {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} + a\right) + \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x - d x\right)} {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} + a\right) + \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x - d x\right)} {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \cosh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} - a\right) - \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x + d x\right)} {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} - a\right) - \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x + d x\right)} {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b - \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} + 1\right)} + a\right) - \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x - d x\right)} {\rm Ei}\left(-{\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} + a\right) - \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} d x - d x\right)} {\rm Ei}\left({\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)}\right) \sinh\left(\frac{1}{2} \, \left(-b^{3} c\right)^{\frac{1}{3}} {\left(\sqrt{-3} - 1\right)} - a\right) + 12 \, c \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{12 \, c x}"," ",0,"-1/12*(2*(b^3*c)^(1/3)*d*x*Ei(-(d*x + c)^(1/3)*b + (b^3*c)^(1/3))*cosh(a + (b^3*c)^(1/3)) + 2*(-b^3*c)^(1/3)*d*x*Ei((d*x + c)^(1/3)*b + (-b^3*c)^(1/3))*cosh(-a + (-b^3*c)^(1/3)) - 2*(b^3*c)^(1/3)*d*x*Ei(-(d*x + c)^(1/3)*b + (b^3*c)^(1/3))*sinh(a + (b^3*c)^(1/3)) - 2*(-b^3*c)^(1/3)*d*x*Ei((d*x + c)^(1/3)*b + (-b^3*c)^(1/3))*sinh(-a + (-b^3*c)^(1/3)) - (b^3*c)^(1/3)*(sqrt(-3)*d*x + d*x)*Ei(-(d*x + c)^(1/3)*b - 1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1))*cosh(1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1) - a) - (-b^3*c)^(1/3)*(sqrt(-3)*d*x + d*x)*Ei((d*x + c)^(1/3)*b - 1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1))*cosh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1) + a) + (b^3*c)^(1/3)*(sqrt(-3)*d*x - d*x)*Ei(-(d*x + c)^(1/3)*b + 1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1))*cosh(1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1) + a) + (-b^3*c)^(1/3)*(sqrt(-3)*d*x - d*x)*Ei((d*x + c)^(1/3)*b + 1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1))*cosh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1) - a) - (b^3*c)^(1/3)*(sqrt(-3)*d*x + d*x)*Ei(-(d*x + c)^(1/3)*b - 1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1))*sinh(1/2*(b^3*c)^(1/3)*(sqrt(-3) + 1) - a) - (-b^3*c)^(1/3)*(sqrt(-3)*d*x + d*x)*Ei((d*x + c)^(1/3)*b - 1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1))*sinh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) + 1) + a) - (b^3*c)^(1/3)*(sqrt(-3)*d*x - d*x)*Ei(-(d*x + c)^(1/3)*b + 1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1))*sinh(1/2*(b^3*c)^(1/3)*(sqrt(-3) - 1) + a) - (-b^3*c)^(1/3)*(sqrt(-3)*d*x - d*x)*Ei((d*x + c)^(1/3)*b + 1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1))*sinh(1/2*(-b^3*c)^(1/3)*(sqrt(-3) - 1) - a) + 12*c*cosh((d*x + c)^(1/3)*b + a))/(c*x)","B",0
