1,1,29,0,0.504015," ","integrate(x^3*sinh(b*x^2+a),x, algorithm=""fricas"")","\frac{b x^{2} \cosh\left(b x^{2} + a\right) - \sinh\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*(b*x^2*cosh(b*x^2 + a) - sinh(b*x^2 + a))/b^2","A",0
2,1,190,0,0.516053," ","integrate(x^2*sinh(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
3,1,13,0,0.722190," ","integrate(x*sinh(b*x^2+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*cosh(b*x^2 + a)/b","A",0
4,1,48,0,0.461743," ","integrate(sinh(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
5,1,39,0,0.483820," ","integrate(sinh(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
6,1,184,0,0.480043," ","integrate(sinh(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
7,1,71,0,0.459104," ","integrate(sinh(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 \, \sinh\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*sinh(b*x^2 + a))/x^2","A",0
8,1,56,0,0.480216," ","integrate(x^3*sinh(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
9,1,427,0,0.444035," ","integrate(x^2*sinh(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
10,1,29,0,0.522359," ","integrate(x*sinh(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
11,1,73,0,0.444806," ","integrate(sinh(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
12,1,49,0,0.411961," ","integrate(sinh(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
13,1,396,0,0.500288," ","integrate(sinh(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
14,1,90,0,0.458500," ","integrate(sinh(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
15,1,94,0,0.463560," ","integrate(x^3*sinh(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{3 \, b x^{2} \cosh\left(b x^{2} + a\right)^{3} + 9 \, b x^{2} \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{2} - 27 \, b x^{2} \cosh\left(b x^{2} + a\right) - \sinh\left(b x^{2} + a\right)^{3} - 3 \, {\left(\cosh\left(b x^{2} + a\right)^{2} - 9\right)} \sinh\left(b x^{2} + a\right)}{72 \, b^{2}}"," ",0,"1/72*(3*b*x^2*cosh(b*x^2 + a)^3 + 9*b*x^2*cosh(b*x^2 + a)*sinh(b*x^2 + a)^2 - 27*b*x^2*cosh(b*x^2 + a) - sinh(b*x^2 + a)^3 - 3*(cosh(b*x^2 + a)^2 - 9)*sinh(b*x^2 + a))/b^2","A",0
16,1,904,0,0.431894," ","integrate(x^2*sinh(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
17,1,46,0,0.518504," ","integrate(x*sinh(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{\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 \, \cosh\left(b x^{2} + a\right)}{24 \, b}"," ",0,"1/24*(cosh(b*x^2 + a)^3 + 3*cosh(b*x^2 + a)*sinh(b*x^2 + a)^2 - 9*cosh(b*x^2 + a))/b","A",0
18,1,112,0,0.443231," ","integrate(sinh(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
19,1,83,0,0.438679," ","integrate(sinh(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
20,1,892,0,0.506517," ","integrate(sinh(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
21,1,160,0,0.497508," ","integrate(sinh(b*x^2+a)^3/x^3,x, algorithm=""fricas"")","-\frac{2 \, \sinh\left(b x^{2} + a\right)^{3} - 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) + 6 \, {\left(\cosh\left(b x^{2} + a\right)^{2} - 1\right)} \sinh\left(b x^{2} + 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)}{16 \, x^{2}}"," ",0,"-1/16*(2*sinh(b*x^2 + a)^3 - 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) + 6*(cosh(b*x^2 + a)^2 - 1)*sinh(b*x^2 + 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))/x^2","A",0
22,1,154,0,0.415376," ","integrate(x*sinh(b*x^2+a)^7,x, algorithm=""fricas"")","\frac{5 \, \cosh\left(b x^{2} + a\right)^{7} + 35 \, \cosh\left(b x^{2} + a\right) \sinh\left(b x^{2} + a\right)^{6} - 49 \, \cosh\left(b x^{2} + a\right)^{5} + 35 \, {\left(5 \, \cosh\left(b x^{2} + a\right)^{3} - 7 \, \cosh\left(b x^{2} + a\right)\right)} \sinh\left(b x^{2} + a\right)^{4} + 245 \, \cosh\left(b x^{2} + a\right)^{3} + 35 \, {\left(3 \, \cosh\left(b x^{2} + a\right)^{5} - 14 \, \cosh\left(b x^{2} + a\right)^{3} + 21 \, \cosh\left(b x^{2} + a\right)\right)} \sinh\left(b x^{2} + a\right)^{2} - 1225 \, \cosh\left(b x^{2} + a\right)}{4480 \, b}"," ",0,"1/4480*(5*cosh(b*x^2 + a)^7 + 35*cosh(b*x^2 + a)*sinh(b*x^2 + a)^6 - 49*cosh(b*x^2 + a)^5 + 35*(5*cosh(b*x^2 + a)^3 - 7*cosh(b*x^2 + a))*sinh(b*x^2 + a)^4 + 245*cosh(b*x^2 + a)^3 + 35*(3*cosh(b*x^2 + a)^5 - 14*cosh(b*x^2 + a)^3 + 21*cosh(b*x^2 + a))*sinh(b*x^2 + a)^2 - 1225*cosh(b*x^2 + a))/b","B",0
23,0,0,0,0.431237," ","integrate((e*x)^m*sinh(b*x^2+a)^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(b x^{2} + a\right)^{p}, x\right)"," ",0,"integral((e*x)^m*sinh(b*x^2 + a)^p, x)","F",0
24,1,252,0,0.593731," ","integrate((e*x)^m*sinh(b*x^2+a)^3,x, algorithm=""fricas"")","\frac{e \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{3 \, b}{e^{2}}\right) + 3 \, a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, 3 \, b x^{2}\right) - 9 \, e \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{b}{e^{2}}\right) + a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, b x^{2}\right) - 9 \, e \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{b}{e^{2}}\right) - a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -b x^{2}\right) + e \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{3 \, b}{e^{2}}\right) - 3 \, a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -3 \, b x^{2}\right) - e \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, 3 \, b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{3 \, b}{e^{2}}\right) + 3 \, a\right) + 9 \, e \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{b}{e^{2}}\right) + a\right) + 9 \, e \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{b}{e^{2}}\right) - a\right) - e \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -3 \, b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{3 \, b}{e^{2}}\right) - 3 \, a\right)}{48 \, b}"," ",0,"1/48*(e*cosh(1/2*(m - 1)*log(3*b/e^2) + 3*a)*gamma(1/2*m + 1/2, 3*b*x^2) - 9*e*cosh(1/2*(m - 1)*log(b/e^2) + a)*gamma(1/2*m + 1/2, b*x^2) - 9*e*cosh(1/2*(m - 1)*log(-b/e^2) - a)*gamma(1/2*m + 1/2, -b*x^2) + e*cosh(1/2*(m - 1)*log(-3*b/e^2) - 3*a)*gamma(1/2*m + 1/2, -3*b*x^2) - e*gamma(1/2*m + 1/2, 3*b*x^2)*sinh(1/2*(m - 1)*log(3*b/e^2) + 3*a) + 9*e*gamma(1/2*m + 1/2, b*x^2)*sinh(1/2*(m - 1)*log(b/e^2) + a) + 9*e*gamma(1/2*m + 1/2, -b*x^2)*sinh(1/2*(m - 1)*log(-b/e^2) - a) - e*gamma(1/2*m + 1/2, -3*b*x^2)*sinh(1/2*(m - 1)*log(-3*b/e^2) - 3*a))/b","A",0
25,1,174,0,0.752546," ","integrate((e*x)^m*sinh(b*x^2+a)^2,x, algorithm=""fricas"")","-\frac{8 \, b x \cosh\left(m \log\left(e x\right)\right) + {\left(e m + e\right)} \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{2 \, b}{e^{2}}\right) + 2 \, a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, 2 \, b x^{2}\right) - {\left(e m + e\right)} \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{2 \, b}{e^{2}}\right) - 2 \, a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -2 \, b x^{2}\right) + 8 \, b x \sinh\left(m \log\left(e x\right)\right) - {\left(e m + e\right)} \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, 2 \, b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{2 \, b}{e^{2}}\right) + 2 \, a\right) + {\left(e m + e\right)} \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -2 \, b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{2 \, b}{e^{2}}\right) - 2 \, a\right)}{16 \, {\left(b m + b\right)}}"," ",0,"-1/16*(8*b*x*cosh(m*log(e*x)) + (e*m + e)*cosh(1/2*(m - 1)*log(2*b/e^2) + 2*a)*gamma(1/2*m + 1/2, 2*b*x^2) - (e*m + e)*cosh(1/2*(m - 1)*log(-2*b/e^2) - 2*a)*gamma(1/2*m + 1/2, -2*b*x^2) + 8*b*x*sinh(m*log(e*x)) - (e*m + e)*gamma(1/2*m + 1/2, 2*b*x^2)*sinh(1/2*(m - 1)*log(2*b/e^2) + 2*a) + (e*m + e)*gamma(1/2*m + 1/2, -2*b*x^2)*sinh(1/2*(m - 1)*log(-2*b/e^2) - 2*a))/(b*m + b)","A",0
26,1,124,0,0.452187," ","integrate((e*x)^m*sinh(b*x^2+a),x, algorithm=""fricas"")","\frac{e \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{b}{e^{2}}\right) + a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, b x^{2}\right) + e \cosh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{b}{e^{2}}\right) - a\right) \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -b x^{2}\right) - e \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(\frac{b}{e^{2}}\right) + a\right) - e \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -b x^{2}\right) \sinh\left(\frac{1}{2} \, {\left(m - 1\right)} \log\left(-\frac{b}{e^{2}}\right) - a\right)}{4 \, b}"," ",0,"1/4*(e*cosh(1/2*(m - 1)*log(b/e^2) + a)*gamma(1/2*m + 1/2, b*x^2) + e*cosh(1/2*(m - 1)*log(-b/e^2) - a)*gamma(1/2*m + 1/2, -b*x^2) - e*gamma(1/2*m + 1/2, b*x^2)*sinh(1/2*(m - 1)*log(b/e^2) + a) - e*gamma(1/2*m + 1/2, -b*x^2)*sinh(1/2*(m - 1)*log(-b/e^2) - a))/b","A",0
27,0,0,0,0.499474," ","integrate((e*x)^m/sinh(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(e x\right)^{m}}{\sinh\left(b x^{2} + a\right)}, x\right)"," ",0,"integral((e*x)^m/sinh(b*x^2 + a), x)","F",0
28,1,13,0,0.420102," ","integrate(x^3*sinh(b*x^4+a),x, algorithm=""fricas"")","\frac{\cosh\left(b x^{4} + a\right)}{4 \, b}"," ",0,"1/4*cosh(b*x^4 + a)/b","A",0
29,1,93,0,0.417158," ","integrate(x^2*sinh(a+b/x),x, algorithm=""fricas"")","\frac{1}{6} \, b x^{2} \cosh\left(\frac{a x + b}{x}\right) - \frac{1}{12} \, {\left(b^{3} {\rm Ei}\left(\frac{b}{x}\right) + b^{3} {\rm Ei}\left(-\frac{b}{x}\right)\right)} \cosh\left(a\right) - \frac{1}{12} \, {\left(b^{3} {\rm Ei}\left(\frac{b}{x}\right) - b^{3} {\rm Ei}\left(-\frac{b}{x}\right)\right)} \sinh\left(a\right) + \frac{1}{6} \, {\left(b^{2} x + 2 \, x^{3}\right)} \sinh\left(\frac{a x + b}{x}\right)"," ",0,"1/6*b*x^2*cosh((a*x + b)/x) - 1/12*(b^3*Ei(b/x) + b^3*Ei(-b/x))*cosh(a) - 1/12*(b^3*Ei(b/x) - b^3*Ei(-b/x))*sinh(a) + 1/6*(b^2*x + 2*x^3)*sinh((a*x + b)/x)","A",0
30,1,83,0,0.418507," ","integrate(x*sinh(a+b/x),x, algorithm=""fricas"")","\frac{1}{2} \, b x \cosh\left(\frac{a x + b}{x}\right) + \frac{1}{2} \, x^{2} \sinh\left(\frac{a x + b}{x}\right) - \frac{1}{4} \, {\left(b^{2} {\rm Ei}\left(\frac{b}{x}\right) - b^{2} {\rm Ei}\left(-\frac{b}{x}\right)\right)} \cosh\left(a\right) - \frac{1}{4} \, {\left(b^{2} {\rm Ei}\left(\frac{b}{x}\right) + b^{2} {\rm Ei}\left(-\frac{b}{x}\right)\right)} \sinh\left(a\right)"," ",0,"1/2*b*x*cosh((a*x + b)/x) + 1/2*x^2*sinh((a*x + b)/x) - 1/4*(b^2*Ei(b/x) - b^2*Ei(-b/x))*cosh(a) - 1/4*(b^2*Ei(b/x) + b^2*Ei(-b/x))*sinh(a)","A",0
31,1,58,0,0.441366," ","integrate(sinh(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) - \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) + x \sinh\left(\frac{a x + b}{x}\right)"," ",0,"-1/2*(b*Ei(b/x) + b*Ei(-b/x))*cosh(a) - 1/2*(b*Ei(b/x) - b*Ei(-b/x))*sinh(a) + x*sinh((a*x + b)/x)","A",0
32,1,39,0,0.395912," ","integrate(sinh(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
33,1,15,0,0.417115," ","integrate(sinh(a+b/x)/x^2,x, algorithm=""fricas"")","-\frac{\cosh\left(\frac{a x + b}{x}\right)}{b}"," ",0,"-cosh((a*x + b)/x)/b","A",0
34,1,34,0,0.509839," ","integrate(sinh(a+b/x)/x^3,x, algorithm=""fricas"")","-\frac{b \cosh\left(\frac{a x + b}{x}\right) - x \sinh\left(\frac{a x + b}{x}\right)}{b^{2} x}"," ",0,"-(b*cosh((a*x + b)/x) - x*sinh((a*x + b)/x))/(b^2*x)","A",0
35,1,43,0,0.381519," ","integrate(sinh(a+b/x)/x^4,x, algorithm=""fricas"")","\frac{2 \, b x \sinh\left(\frac{a x + b}{x}\right) - {\left(b^{2} + 2 \, x^{2}\right)} \cosh\left(\frac{a x + b}{x}\right)}{b^{3} x^{2}}"," ",0,"(2*b*x*sinh((a*x + b)/x) - (b^2 + 2*x^2)*cosh((a*x + b)/x))/(b^3*x^2)","A",0
36,1,53,0,0.384929," ","integrate(sinh(a+b/x)/x^5,x, algorithm=""fricas"")","-\frac{{\left(b^{3} + 6 \, b x^{2}\right)} \cosh\left(\frac{a x + b}{x}\right) - 3 \, {\left(b^{2} x + 2 \, x^{3}\right)} \sinh\left(\frac{a x + b}{x}\right)}{b^{4} x^{3}}"," ",0,"-((b^3 + 6*b*x^2)*cosh((a*x + b)/x) - 3*(b^2*x + 2*x^3)*sinh((a*x + b)/x))/(b^4*x^3)","A",0
37,0,0,0,0.473058," ","integrate((e*x)^m*sinh(a+b/x)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(\frac{a x + b}{x}\right)^{3}, x\right)"," ",0,"integral((e*x)^m*sinh((a*x + b)/x)^3, x)","F",0
38,0,0,0,0.425332," ","integrate((e*x)^m*sinh(a+b/x)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(\frac{a x + b}{x}\right)^{2}, x\right)"," ",0,"integral((e*x)^m*sinh((a*x + b)/x)^2, x)","F",0
39,0,0,0,0.422081," ","integrate((e*x)^m*sinh(a+b/x),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(\frac{a x + b}{x}\right), x\right)"," ",0,"integral((e*x)^m*sinh((a*x + b)/x), x)","F",0
40,0,0,0,0.448928," ","integrate((e*x)^m/sinh(a+b/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(e x\right)^{m}}{\sinh\left(\frac{a x + b}{x}\right)}, x\right)"," ",0,"integral((e*x)^m/sinh((a*x + b)/x), x)","F",0
41,1,323,0,0.435442," ","integrate(x^4*sinh(a+b/x^2),x, algorithm=""fricas"")","-\frac{3 \, x^{5} - 2 \, b x^{3} + 4 \, b^{2} x - {\left(3 \, x^{5} + 2 \, b x^{3} + 4 \, b^{2} x\right)} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} - 4 \, \sqrt{\pi} {\left(b^{2} \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + b^{2} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(b^{2} \cosh\left(a\right) + b^{2} \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 \, \sqrt{\pi} {\left(b^{2} \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) - b^{2} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(b^{2} \cosh\left(a\right) - b^{2} \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 \, {\left(3 \, x^{5} + 2 \, b x^{3} + 4 \, b^{2} x\right)} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) - {\left(3 \, x^{5} + 2 \, b x^{3} + 4 \, b^{2} x\right)} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2}}{30 \, {\left(\cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)}}"," ",0,"-1/30*(3*x^5 - 2*b*x^3 + 4*b^2*x - (3*x^5 + 2*b*x^3 + 4*b^2*x)*cosh((a*x^2 + b)/x^2)^2 - 4*sqrt(pi)*(b^2*cosh(a)*cosh((a*x^2 + b)/x^2) + b^2*cosh((a*x^2 + b)/x^2)*sinh(a) + (b^2*cosh(a) + b^2*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(-b)*erf(sqrt(-b)/x) + 4*sqrt(pi)*(b^2*cosh(a)*cosh((a*x^2 + b)/x^2) - b^2*cosh((a*x^2 + b)/x^2)*sinh(a) + (b^2*cosh(a) - b^2*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(b)*erf(sqrt(b)/x) - 2*(3*x^5 + 2*b*x^3 + 4*b^2*x)*cosh((a*x^2 + b)/x^2)*sinh((a*x^2 + b)/x^2) - (3*x^5 + 2*b*x^3 + 4*b^2*x)*sinh((a*x^2 + b)/x^2)^2)/(cosh((a*x^2 + b)/x^2) + sinh((a*x^2 + b)/x^2))","B",0
42,1,89,0,0.427625," ","integrate(x^3*sinh(a+b/x^2),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) + \frac{1}{4} \, b x^{2} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) - \frac{1}{8} \, {\left(b^{2} {\rm Ei}\left(\frac{b}{x^{2}}\right) - b^{2} {\rm Ei}\left(-\frac{b}{x^{2}}\right)\right)} \cosh\left(a\right) - \frac{1}{8} \, {\left(b^{2} {\rm Ei}\left(\frac{b}{x^{2}}\right) + b^{2} {\rm Ei}\left(-\frac{b}{x^{2}}\right)\right)} \sinh\left(a\right)"," ",0,"1/4*x^4*sinh((a*x^2 + b)/x^2) + 1/4*b*x^2*cosh((a*x^2 + b)/x^2) - 1/8*(b^2*Ei(b/x^2) - b^2*Ei(-b/x^2))*cosh(a) - 1/8*(b^2*Ei(b/x^2) + b^2*Ei(-b/x^2))*sinh(a)","A",0
43,1,267,0,0.426359," ","integrate(x^2*sinh(a+b/x^2),x, algorithm=""fricas"")","-\frac{x^{3} - {\left(x^{3} + 2 \, b x\right)} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} - 2 \, \sqrt{\pi} {\left(b \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + b \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(b \cosh\left(a\right) + b \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 \, \sqrt{\pi} {\left(b \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) - b \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(b \cosh\left(a\right) - b \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 \, {\left(x^{3} + 2 \, b x\right)} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) - {\left(x^{3} + 2 \, b x\right)} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} - 2 \, b x}{6 \, {\left(\cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)}}"," ",0,"-1/6*(x^3 - (x^3 + 2*b*x)*cosh((a*x^2 + b)/x^2)^2 - 2*sqrt(pi)*(b*cosh(a)*cosh((a*x^2 + b)/x^2) + b*cosh((a*x^2 + b)/x^2)*sinh(a) + (b*cosh(a) + b*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(-b)*erf(sqrt(-b)/x) - 2*sqrt(pi)*(b*cosh(a)*cosh((a*x^2 + b)/x^2) - b*cosh((a*x^2 + b)/x^2)*sinh(a) + (b*cosh(a) - b*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(b)*erf(sqrt(b)/x) - 2*(x^3 + 2*b*x)*cosh((a*x^2 + b)/x^2)*sinh((a*x^2 + b)/x^2) - (x^3 + 2*b*x)*sinh((a*x^2 + b)/x^2)^2 - 2*b*x)/(cosh((a*x^2 + b)/x^2) + sinh((a*x^2 + b)/x^2))","B",0
44,1,63,0,0.470407," ","integrate(x*sinh(a+b/x^2),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) - \frac{1}{4} \, {\left(b {\rm Ei}\left(\frac{b}{x^{2}}\right) + b {\rm Ei}\left(-\frac{b}{x^{2}}\right)\right)} \cosh\left(a\right) - \frac{1}{4} \, {\left(b {\rm Ei}\left(\frac{b}{x^{2}}\right) - b {\rm Ei}\left(-\frac{b}{x^{2}}\right)\right)} \sinh\left(a\right)"," ",0,"1/2*x^2*sinh((a*x^2 + b)/x^2) - 1/4*(b*Ei(b/x^2) + b*Ei(-b/x^2))*cosh(a) - 1/4*(b*Ei(b/x^2) - b*Ei(-b/x^2))*sinh(a)","A",0
45,1,228,0,0.560141," ","integrate(sinh(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
46,1,39,0,0.431151," ","integrate(sinh(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
47,1,52,0,0.544720," ","integrate(sinh(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
48,1,17,0,0.469518," ","integrate(sinh(a+b/x^2)/x^3,x, algorithm=""fricas"")","-\frac{\cosh\left(\frac{a x^{2} + b}{x^{2}}\right)}{2 \, b}"," ",0,"-1/2*cosh((a*x^2 + b)/x^2)/b","A",0
49,1,251,0,0.512493," ","integrate(sinh(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
50,1,40,0,0.535557," ","integrate(sinh(a+b/x^2)/x^5,x, algorithm=""fricas"")","\frac{x^{2} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) - b \cosh\left(\frac{a x^{2} + b}{x^{2}}\right)}{2 \, b^{2} x^{2}}"," ",0,"1/2*(x^2*sinh((a*x^2 + b)/x^2) - b*cosh((a*x^2 + b)/x^2))/(b^2*x^2)","A",0
51,1,313,0,0.454230," ","integrate(sinh(a+b/x^2)/x^6,x, algorithm=""fricas"")","-\frac{6 \, b x^{2} - 2 \, {\left(3 \, b x^{2} - 2 \, b^{2}\right)} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} - 3 \, \sqrt{\pi} {\left(x^{3} \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + x^{3} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(x^{3} \cosh\left(a\right) + x^{3} \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) - 3 \, \sqrt{\pi} {\left(x^{3} \cosh\left(a\right) \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) - x^{3} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(a\right) + {\left(x^{3} \cosh\left(a\right) - x^{3} \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 \, {\left(3 \, b x^{2} - 2 \, b^{2}\right)} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) - 2 \, {\left(3 \, b x^{2} - 2 \, b^{2}\right)} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2} + 4 \, b^{2}}{16 \, {\left(b^{3} x^{3} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right) + b^{3} x^{3} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)\right)}}"," ",0,"-1/16*(6*b*x^2 - 2*(3*b*x^2 - 2*b^2)*cosh((a*x^2 + b)/x^2)^2 - 3*sqrt(pi)*(x^3*cosh(a)*cosh((a*x^2 + b)/x^2) + x^3*cosh((a*x^2 + b)/x^2)*sinh(a) + (x^3*cosh(a) + x^3*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(-b)*erf(sqrt(-b)/x) - 3*sqrt(pi)*(x^3*cosh(a)*cosh((a*x^2 + b)/x^2) - x^3*cosh((a*x^2 + b)/x^2)*sinh(a) + (x^3*cosh(a) - x^3*sinh(a))*sinh((a*x^2 + b)/x^2))*sqrt(b)*erf(sqrt(b)/x) - 4*(3*b*x^2 - 2*b^2)*cosh((a*x^2 + b)/x^2)*sinh((a*x^2 + b)/x^2) - 2*(3*b*x^2 - 2*b^2)*sinh((a*x^2 + b)/x^2)^2 + 4*b^2)/(b^3*x^3*cosh((a*x^2 + b)/x^2) + b^3*x^3*sinh((a*x^2 + b)/x^2))","B",0
52,1,50,0,0.472086," ","integrate(sinh(a+b/x^2)/x^7,x, algorithm=""fricas"")","\frac{2 \, b x^{2} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right) - {\left(2 \, x^{4} + b^{2}\right)} \cosh\left(\frac{a x^{2} + b}{x^{2}}\right)}{2 \, b^{3} x^{4}}"," ",0,"1/2*(2*b*x^2*sinh((a*x^2 + b)/x^2) - (2*x^4 + b^2)*cosh((a*x^2 + b)/x^2))/(b^3*x^4)","A",0
53,0,0,0,0.536607," ","integrate((e*x)^m*sinh(a+b/x^2)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)^{3}, x\right)"," ",0,"integral((e*x)^m*sinh((a*x^2 + b)/x^2)^3, x)","F",0
54,0,0,0,0.557213," ","integrate((e*x)^m*sinh(a+b/x^2)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right)^{2}, x\right)"," ",0,"integral((e*x)^m*sinh((a*x^2 + b)/x^2)^2, x)","F",0
55,0,0,0,0.572251," ","integrate((e*x)^m*sinh(a+b/x^2),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(\frac{a x^{2} + b}{x^{2}}\right), x\right)"," ",0,"integral((e*x)^m*sinh((a*x^2 + b)/x^2), x)","F",0
56,0,0,0,0.515345," ","integrate((e*x)^m/sinh(a+b/x^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(e x\right)^{m}}{\sinh\left(\frac{a x^{2} + b}{x^{2}}\right)}, x\right)"," ",0,"integral((e*x)^m/sinh((a*x^2 + b)/x^2), x)","F",0
57,1,6,0,0.560919," ","integrate(sinh(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","2 \, \cosh\left(\sqrt{x}\right)"," ",0,"2*cosh(sqrt(x))","A",0
58,0,0,0,0.522758," ","integrate(x^2*sinh(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \sinh\left(b x^{n} + a\right), x\right)"," ",0,"integral(x^2*sinh(b*x^n + a), x)","F",0
59,0,0,0,0.413508," ","integrate(x*sinh(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(x \sinh\left(b x^{n} + a\right), x\right)"," ",0,"integral(x*sinh(b*x^n + a), x)","F",0
60,0,0,0,0.743328," ","integrate(sinh(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(b x^{n} + a\right), x\right)"," ",0,"integral(sinh(b*x^n + a), x)","F",0
61,1,55,0,0.578033," ","integrate(sinh(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
62,0,0,0,0.523707," ","integrate(sinh(a+b*x^n)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b x^{n} + a\right)}{x^{2}}, x\right)"," ",0,"integral(sinh(b*x^n + a)/x^2, x)","F",0
63,0,0,0,0.438809," ","integrate(sinh(a+b*x^n)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b x^{n} + a\right)}{x^{3}}, x\right)"," ",0,"integral(sinh(b*x^n + a)/x^3, x)","F",0
64,0,0,0,0.478708," ","integrate(x^2*sinh(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \sinh\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral(x^2*sinh(b*x^n + a)^2, x)","F",0
65,0,0,0,0.505571," ","integrate(x*sinh(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(x \sinh\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral(x*sinh(b*x^n + a)^2, x)","F",0
66,0,0,0,0.484583," ","integrate(sinh(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral(sinh(b*x^n + a)^2, x)","F",0
67,1,69,0,0.535361," ","integrate(sinh(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
68,0,0,0,0.456982," ","integrate(sinh(a+b*x^n)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b x^{n} + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(sinh(b*x^n + a)^2/x^2, x)","F",0
69,0,0,0,0.446392," ","integrate(x^2*sinh(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \sinh\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral(x^2*sinh(b*x^n + a)^3, x)","F",0
70,0,0,0,0.653545," ","integrate(x*sinh(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(x \sinh\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral(x*sinh(b*x^n + a)^3, x)","F",0
71,0,0,0,0.488520," ","integrate(sinh(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\sinh\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral(sinh(b*x^n + a)^3, x)","F",0
72,1,115,0,0.604084," ","integrate(sinh(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
73,0,0,0,0.485363," ","integrate(sinh(a+b*x^n)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b x^{n} + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(sinh(b*x^n + a)^3/x^2, x)","F",0
74,0,0,0,0.727493," ","integrate((e*x)^m*(b*sinh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \left(b \sinh\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^m*(b*sinh(d*x^n + c))^p, x)","F",0
75,0,0,0,0.650638," ","integrate((e*x)^m*(a+b*sinh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} {\left(b \sinh\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^m*(b*sinh(d*x^n + c) + a)^p, x)","F",0
76,0,0,0,0.519054," ","integrate((e*x)^(-1+n)*(b*sinh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{n - 1} \left(b \sinh\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^(n - 1)*(b*sinh(d*x^n + c))^p, x)","F",0
77,0,0,0,0.586625," ","integrate((e*x)^(-1+2*n)*(b*sinh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{2 \, n - 1} \left(b \sinh\left(d x^{n} + c\right)\right)^{p}, x\right)"," ",0,"integral((e*x)^(2*n - 1)*(b*sinh(d*x^n + c))^p, x)","F",0
78,0,0,0,0.511630," ","integrate((e*x)^(-1+n)*(a+b*sinh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{n - 1} {\left(b \sinh\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^(n - 1)*(b*sinh(d*x^n + c) + a)^p, x)","F",0
79,0,0,0,0.520952," ","integrate((e*x)^(-1+2*n)*(a+b*sinh(c+d*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{2 \, n - 1} {\left(b \sinh\left(d x^{n} + c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^(2*n - 1)*(b*sinh(d*x^n + c) + a)^p, x)","F",0
80,0,0,0,0.554514," ","integrate((e*x)^m*sinh(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(b x^{n} + a\right)^{3}, x\right)"," ",0,"integral((e*x)^m*sinh(b*x^n + a)^3, x)","F",0
81,0,0,0,0.496398," ","integrate((e*x)^m*sinh(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(b x^{n} + a\right)^{2}, x\right)"," ",0,"integral((e*x)^m*sinh(b*x^n + a)^2, x)","F",0
82,0,0,0,0.569976," ","integrate((e*x)^m*sinh(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{m} \sinh\left(b x^{n} + a\right), x\right)"," ",0,"integral((e*x)^m*sinh(b*x^n + a), x)","F",0
83,0,0,0,0.539369," ","integrate((e*x)^m/sinh(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(e x\right)^{m}}{\sinh\left(b x^{n} + a\right)^{2}}, x\right)"," ",0,"integral((e*x)^m/sinh(b*x^n + a)^2, x)","F",0
84,1,139,0,0.455876," ","integrate(x^(-1-n)*sinh(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 \, \sinh\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*sinh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a))/(n*cosh(n*log(x)) + n*sinh(n*log(x)))","B",0
85,1,182,0,0.626324," ","integrate(x^(-1-n)*sinh(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
86,1,303,0,0.538106," ","integrate(x^(-1-n)*sinh(a+b*x^n)^3,x, algorithm=""fricas"")","-\frac{2 \, \sinh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)^{3} - 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 \, {\left(\cosh\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)^{2} - 1\right)} \sinh\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*sinh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a)^3 - 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)^2 - 1)*sinh(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a))/(n*cosh(n*log(x)) + n*sinh(n*log(x)))","B",0
87,1,97,0,0.724623," ","integrate(x^(-1+1/2*n)*sinh(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
88,1,165,0,0.532183," ","integrate(x^2*sinh((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
89,1,134,0,0.552351," ","integrate(x*sinh((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
90,1,55,0,0.585774," ","integrate(sinh((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
91,0,0,0,0.530857," ","integrate(sinh((b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{x}, x\right)"," ",0,"integral(sinh(b^2*x^2 + 2*a*b*x + a^2)/x, x)","F",0
92,0,0,0,0.657567," ","integrate(sinh((b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sinh\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)}{x^{2}}, x\right)"," ",0,"integral(sinh(b^2*x^2 + 2*a*b*x + a^2)/x^2, x)","F",0
93,1,104,0,0.535412," ","integrate(x^2*sinh(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} \cosh\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)} \sinh\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)*cosh(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)*sinh(sqrt(d*x + c)*b + a))/(b^6*d^3)","A",0
94,1,68,0,0.643205," ","integrate(x*sinh(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} \cosh\left(\sqrt{d x + c} b + a\right) - {\left(3 \, b^{2} d x + 2 \, b^{2} c + 6\right)} \sinh\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)*cosh(sqrt(d*x + c)*b + a) - (3*b^2*d*x + 2*b^2*c + 6)*sinh(sqrt(d*x + c)*b + a))/(b^4*d^2)","A",0
95,1,44,0,0.590989," ","integrate(sinh(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{d x + c} b \cosh\left(\sqrt{d x + c} b + a\right) - \sinh\left(\sqrt{d x + c} b + a\right)\right)}}{b^{2} d}"," ",0,"2*(sqrt(d*x + c)*b*cosh(sqrt(d*x + c)*b + a) - sinh(sqrt(d*x + c)*b + a))/(b^2*d)","A",0
96,1,217,0,0.582135," ","integrate(sinh(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
97,1,315,0,0.487414," ","integrate(sinh(a+b*(d*x+c)^(1/2))/x^2,x, algorithm=""fricas"")","\frac{{\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) - 4 \, c \sinh\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)} \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*((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)) - 4*c*sinh(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)))*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
98,1,180,0,0.488810," ","integrate(x^2*sinh(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","\frac{3 \, {\left({\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)} \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - 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)} \sinh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{9} d^{3}}"," ",0,"3*((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)*cosh((d*x + c)^(1/3)*b + a) - 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))*sinh((d*x + c)^(1/3)*b + a))/(b^9*d^3)","A",0
99,1,109,0,0.519599," ","integrate(x*sinh(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","\frac{3 \, {\left({\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)} \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - {\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)} \sinh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)\right)}}{b^{6} d^{2}}"," ",0,"3*(((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)*cosh((d*x + c)^(1/3)*b + a) - (60*(d*x + c)^(2/3)*b^2 + (5*b^4*d*x + 3*b^4*c)*(d*x + c)^(1/3) + 120)*sinh((d*x + c)^(1/3)*b + a))/(b^6*d^2)","A",0
100,1,58,0,0.563558," ","integrate(sinh(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","-\frac{3 \, {\left(2 \, {\left(d x + c\right)}^{\frac{1}{3}} b \sinh\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)} \cosh\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*sinh((d*x + c)^(1/3)*b + a) - ((d*x + c)^(2/3)*b^2 + 2)*cosh((d*x + c)^(1/3)*b + a))/(b^3*d)","A",0
101,1,503,0,0.672551," ","integrate(sinh(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
102,1,704,0,0.643633," ","integrate(sinh(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 \sinh\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*sinh((d*x + c)^(1/3)*b + a))/(c*x)","B",0
