1,1,80,0,0.322082," ","integrate(x^3*cosh(b*x^2+a),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \cosh\left(b x^{2} + a\right) - \frac{1}{8} \, b {\left(\frac{{\left(b^{2} x^{4} e^{a} - 2 \, b x^{2} e^{a} + 2 \, e^{a}\right)} e^{\left(b x^{2}\right)}}{b^{3}} + \frac{{\left(b^{2} x^{4} + 2 \, b x^{2} + 2\right)} e^{\left(-b x^{2} - a\right)}}{b^{3}}\right)}"," ",0,"1/4*x^4*cosh(b*x^2 + a) - 1/8*b*((b^2*x^4*e^a - 2*b*x^2*e^a + 2*e^a)*e^(b*x^2)/b^3 + (b^2*x^4 + 2*b*x^2 + 2)*e^(-b*x^2 - a)/b^3)","B",0
2,1,110,0,0.321985," ","integrate(x^2*cosh(b*x^2+a),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \cosh\left(b x^{2} + a\right) - \frac{1}{24} \, b {\left(\frac{2 \, {\left(2 \, b x^{3} e^{a} - 3 \, x e^{a}\right)} e^{\left(b x^{2}\right)}}{b^{2}} + \frac{2 \, {\left(2 \, b x^{3} + 3 \, x\right)} e^{\left(-b x^{2} - a\right)}}{b^{2}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{b} x\right) e^{\left(-a\right)}}{b^{\frac{5}{2}}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{-b} x\right) e^{a}}{\sqrt{-b} b^{2}}\right)}"," ",0,"1/3*x^3*cosh(b*x^2 + a) - 1/24*b*(2*(2*b*x^3*e^a - 3*x*e^a)*e^(b*x^2)/b^2 + 2*(2*b*x^3 + 3*x)*e^(-b*x^2 - a)/b^2 - 3*sqrt(pi)*erf(sqrt(b)*x)*e^(-a)/b^(5/2) + 3*sqrt(pi)*erf(sqrt(-b)*x)*e^a/(sqrt(-b)*b^2))","B",0
3,1,13,0,0.320121," ","integrate(x*cosh(b*x^2+a),x, algorithm=""maxima"")","\frac{\sinh\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*sinh(b*x^2 + a)/b","A",0
4,1,87,0,0.318136," ","integrate(cosh(b*x^2+a),x, algorithm=""maxima"")","-\frac{1}{4} \, b {\left(\frac{2 \, x e^{\left(b x^{2} + a\right)}}{b} + \frac{2 \, x e^{\left(-b x^{2} - a\right)}}{b} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{b} x\right) e^{\left(-a\right)}}{b^{\frac{3}{2}}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-b} x\right) e^{a}}{\sqrt{-b} b}\right)} + x \cosh\left(b x^{2} + a\right)"," ",0,"-1/4*b*(2*x*e^(b*x^2 + a)/b + 2*x*e^(-b*x^2 - a)/b - sqrt(pi)*erf(sqrt(b)*x)*e^(-a)/b^(3/2) - sqrt(pi)*erf(sqrt(-b)*x)*e^a/(sqrt(-b)*b)) + x*cosh(b*x^2 + a)","B",0
5,1,24,0,0.397836," ","integrate(cosh(b*x^2+a)/x,x, algorithm=""maxima"")","\frac{1}{4} \, {\rm Ei}\left(-b x^{2}\right) e^{\left(-a\right)} + \frac{1}{4} \, {\rm Ei}\left(b x^{2}\right) e^{a}"," ",0,"1/4*Ei(-b*x^2)*e^(-a) + 1/4*Ei(b*x^2)*e^a","A",0
6,1,55,0,0.326831," ","integrate(cosh(b*x^2+a)/x^2,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{b} x\right) e^{\left(-a\right)}}{\sqrt{b}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-b} x\right) e^{a}}{\sqrt{-b}}\right)} b - \frac{\cosh\left(b x^{2} + a\right)}{x}"," ",0,"-1/2*(sqrt(pi)*erf(sqrt(b)*x)*e^(-a)/sqrt(b) - sqrt(pi)*erf(sqrt(-b)*x)*e^a/sqrt(-b))*b - cosh(b*x^2 + a)/x","A",0
7,1,40,0,0.389177," ","integrate(cosh(b*x^2+a)/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left({\rm Ei}\left(-b x^{2}\right) e^{\left(-a\right)} - {\rm Ei}\left(b x^{2}\right) e^{a}\right)} b - \frac{\cosh\left(b x^{2} + a\right)}{2 \, x^{2}}"," ",0,"-1/4*(Ei(-b*x^2)*e^(-a) - Ei(b*x^2)*e^a)*b - 1/2*cosh(b*x^2 + a)/x^2","A",0
8,1,59,0,0.329526," ","integrate(x^3*cosh(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, x^{4} + \frac{{\left(2 \, b x^{2} e^{\left(2 \, a\right)} - e^{\left(2 \, a\right)}\right)} e^{\left(2 \, b x^{2}\right)}}{32 \, b^{2}} - \frac{{\left(2 \, b x^{2} + 1\right)} e^{\left(-2 \, b x^{2} - 2 \, a\right)}}{32 \, b^{2}}"," ",0,"1/8*x^4 + 1/32*(2*b*x^2*e^(2*a) - e^(2*a))*e^(2*b*x^2)/b^2 - 1/32*(2*b*x^2 + 1)*e^(-2*b*x^2 - 2*a)/b^2","A",0
9,1,95,0,0.424421," ","integrate(x^2*cosh(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{6} \, x^{3} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} \sqrt{-b} x\right) e^{\left(2 \, a\right)}}{64 \, \sqrt{-b} b} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} \sqrt{b} x\right) e^{\left(-2 \, a\right)}}{64 \, b^{\frac{3}{2}}} + \frac{x e^{\left(2 \, b x^{2} + 2 \, a\right)}}{16 \, b} - \frac{x e^{\left(-2 \, b x^{2} - 2 \, a\right)}}{16 \, b}"," ",0,"1/6*x^3 - 1/64*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(-b)*x)*e^(2*a)/(sqrt(-b)*b) + 1/64*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(b)*x)*e^(-2*a)/b^(3/2) + 1/16*x*e^(2*b*x^2 + 2*a)/b - 1/16*x*e^(-2*b*x^2 - 2*a)/b","A",0
10,1,38,0,0.306983," ","integrate(x*cosh(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} + \frac{e^{\left(2 \, b x^{2} + 2 \, a\right)}}{16 \, b} - \frac{e^{\left(-2 \, b x^{2} - 2 \, a\right)}}{16 \, b}"," ",0,"1/4*x^2 + 1/16*e^(2*b*x^2 + 2*a)/b - 1/16*e^(-2*b*x^2 - 2*a)/b","A",0
11,1,56,0,0.412204," ","integrate(cosh(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} \sqrt{-b} x\right) e^{\left(2 \, a\right)}}{16 \, \sqrt{-b}} + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\sqrt{2} \sqrt{b} x\right) e^{\left(-2 \, a\right)}}{16 \, \sqrt{b}} + \frac{1}{2} \, x"," ",0,"1/16*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(-b)*x)*e^(2*a)/sqrt(-b) + 1/16*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(b)*x)*e^(-2*a)/sqrt(b) + 1/2*x","A",0
12,1,31,0,0.376942," ","integrate(cosh(b*x^2+a)^2/x,x, algorithm=""maxima"")","\frac{1}{8} \, {\rm Ei}\left(2 \, b x^{2}\right) e^{\left(2 \, a\right)} + \frac{1}{8} \, {\rm Ei}\left(-2 \, b x^{2}\right) e^{\left(-2 \, a\right)} + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/8*Ei(2*b*x^2)*e^(2*a) + 1/8*Ei(-2*b*x^2)*e^(-2*a) + 1/2*log(x)","A",0
13,1,61,0,0.384924," ","integrate(cosh(b*x^2+a)^2/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{2} \sqrt{b x^{2}} e^{\left(-2 \, a\right)} \Gamma\left(-\frac{1}{2}, 2 \, b x^{2}\right)}{8 \, x} - \frac{\sqrt{2} \sqrt{-b x^{2}} e^{\left(2 \, a\right)} \Gamma\left(-\frac{1}{2}, -2 \, b x^{2}\right)}{8 \, x} - \frac{1}{2 \, x}"," ",0,"-1/8*sqrt(2)*sqrt(b*x^2)*e^(-2*a)*gamma(-1/2, 2*b*x^2)/x - 1/8*sqrt(2)*sqrt(-b*x^2)*e^(2*a)*gamma(-1/2, -2*b*x^2)/x - 1/2/x","A",0
14,1,36,0,0.382073," ","integrate(cosh(b*x^2+a)^2/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b e^{\left(-2 \, a\right)} \Gamma\left(-1, 2 \, b x^{2}\right) + \frac{1}{4} \, b e^{\left(2 \, a\right)} \Gamma\left(-1, -2 \, b x^{2}\right) - \frac{1}{4 \, x^{2}}"," ",0,"-1/4*b*e^(-2*a)*gamma(-1, 2*b*x^2) + 1/4*b*e^(2*a)*gamma(-1, -2*b*x^2) - 1/4/x^2","A",0
15,1,100,0,0.314149," ","integrate(x^3*cosh(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(3 \, b x^{2} e^{\left(3 \, a\right)} - e^{\left(3 \, a\right)}\right)} e^{\left(3 \, b x^{2}\right)}}{144 \, b^{2}} + \frac{3 \, {\left(b x^{2} e^{a} - e^{a}\right)} e^{\left(b x^{2}\right)}}{16 \, b^{2}} - \frac{3 \, {\left(b x^{2} + 1\right)} e^{\left(-b x^{2} - a\right)}}{16 \, b^{2}} - \frac{{\left(3 \, b x^{2} + 1\right)} e^{\left(-3 \, b x^{2} - 3 \, a\right)}}{144 \, b^{2}}"," ",0,"1/144*(3*b*x^2*e^(3*a) - e^(3*a))*e^(3*b*x^2)/b^2 + 3/16*(b*x^2*e^a - e^a)*e^(b*x^2)/b^2 - 3/16*(b*x^2 + 1)*e^(-b*x^2 - a)/b^2 - 1/144*(3*b*x^2 + 1)*e^(-3*b*x^2 - 3*a)/b^2","A",0
16,1,162,0,0.407048," ","integrate(x^2*cosh(b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(\sqrt{3} \sqrt{-b} x\right) e^{\left(3 \, a\right)}}{288 \, \sqrt{-b} b} + \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(\sqrt{3} \sqrt{b} x\right) e^{\left(-3 \, a\right)}}{288 \, b^{\frac{3}{2}}} + \frac{x e^{\left(3 \, b x^{2} + 3 \, a\right)}}{48 \, b} + \frac{3 \, x e^{\left(b x^{2} + a\right)}}{16 \, b} - \frac{3 \, x e^{\left(-b x^{2} - a\right)}}{16 \, b} - \frac{x e^{\left(-3 \, b x^{2} - 3 \, a\right)}}{48 \, b} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{b} x\right) e^{\left(-a\right)}}{32 \, b^{\frac{3}{2}}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{-b} x\right) e^{a}}{32 \, \sqrt{-b} b}"," ",0,"-1/288*sqrt(3)*sqrt(pi)*erf(sqrt(3)*sqrt(-b)*x)*e^(3*a)/(sqrt(-b)*b) + 1/288*sqrt(3)*sqrt(pi)*erf(sqrt(3)*sqrt(b)*x)*e^(-3*a)/b^(3/2) + 1/48*x*e^(3*b*x^2 + 3*a)/b + 3/16*x*e^(b*x^2 + a)/b - 3/16*x*e^(-b*x^2 - a)/b - 1/48*x*e^(-3*b*x^2 - 3*a)/b + 3/32*sqrt(pi)*erf(sqrt(b)*x)*e^(-a)/b^(3/2) - 3/32*sqrt(pi)*erf(sqrt(-b)*x)*e^a/(sqrt(-b)*b)","A",0
17,1,62,0,0.299194," ","integrate(x*cosh(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{e^{\left(3 \, b x^{2} + 3 \, a\right)}}{48 \, b} + \frac{3 \, e^{\left(b x^{2} + a\right)}}{16 \, b} - \frac{3 \, e^{\left(-b x^{2} - a\right)}}{16 \, b} - \frac{e^{\left(-3 \, b x^{2} - 3 \, a\right)}}{48 \, b}"," ",0,"1/48*e^(3*b*x^2 + 3*a)/b + 3/16*e^(b*x^2 + a)/b - 3/16*e^(-b*x^2 - a)/b - 1/48*e^(-3*b*x^2 - 3*a)/b","B",0
18,1,91,0,0.403279," ","integrate(cosh(b*x^2+a)^3,x, algorithm=""maxima"")","\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(\sqrt{3} \sqrt{-b} x\right) e^{\left(3 \, a\right)}}{48 \, \sqrt{-b}} + \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(\sqrt{3} \sqrt{b} x\right) e^{\left(-3 \, a\right)}}{48 \, \sqrt{b}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{b} x\right) e^{\left(-a\right)}}{16 \, \sqrt{b}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(\sqrt{-b} x\right) e^{a}}{16 \, \sqrt{-b}}"," ",0,"1/48*sqrt(3)*sqrt(pi)*erf(sqrt(3)*sqrt(-b)*x)*e^(3*a)/sqrt(-b) + 1/48*sqrt(3)*sqrt(pi)*erf(sqrt(3)*sqrt(b)*x)*e^(-3*a)/sqrt(b) + 3/16*sqrt(pi)*erf(sqrt(b)*x)*e^(-a)/sqrt(b) + 3/16*sqrt(pi)*erf(sqrt(-b)*x)*e^a/sqrt(-b)","A",0
19,1,50,0,0.398846," ","integrate(cosh(b*x^2+a)^3/x,x, algorithm=""maxima"")","\frac{1}{16} \, {\rm Ei}\left(3 \, b x^{2}\right) e^{\left(3 \, a\right)} + \frac{3}{16} \, {\rm Ei}\left(-b x^{2}\right) e^{\left(-a\right)} + \frac{1}{16} \, {\rm Ei}\left(-3 \, b x^{2}\right) e^{\left(-3 \, a\right)} + \frac{3}{16} \, {\rm Ei}\left(b x^{2}\right) e^{a}"," ",0,"1/16*Ei(3*b*x^2)*e^(3*a) + 3/16*Ei(-b*x^2)*e^(-a) + 1/16*Ei(-3*b*x^2)*e^(-3*a) + 3/16*Ei(b*x^2)*e^a","A",0
20,1,102,0,0.407331," ","integrate(cosh(b*x^2+a)^3/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{3} \sqrt{b x^{2}} e^{\left(-3 \, a\right)} \Gamma\left(-\frac{1}{2}, 3 \, b x^{2}\right)}{16 \, x} - \frac{\sqrt{3} \sqrt{-b x^{2}} e^{\left(3 \, a\right)} \Gamma\left(-\frac{1}{2}, -3 \, b x^{2}\right)}{16 \, x} - \frac{3 \, \sqrt{b x^{2}} e^{\left(-a\right)} \Gamma\left(-\frac{1}{2}, b x^{2}\right)}{16 \, x} - \frac{3 \, \sqrt{-b x^{2}} e^{a} \Gamma\left(-\frac{1}{2}, -b x^{2}\right)}{16 \, x}"," ",0,"-1/16*sqrt(3)*sqrt(b*x^2)*e^(-3*a)*gamma(-1/2, 3*b*x^2)/x - 1/16*sqrt(3)*sqrt(-b*x^2)*e^(3*a)*gamma(-1/2, -3*b*x^2)/x - 3/16*sqrt(b*x^2)*e^(-a)*gamma(-1/2, b*x^2)/x - 3/16*sqrt(-b*x^2)*e^a*gamma(-1/2, -b*x^2)/x","A",0
21,1,58,0,0.403414," ","integrate(cosh(b*x^2+a)^3/x^3,x, algorithm=""maxima"")","-\frac{3}{16} \, b e^{\left(-3 \, a\right)} \Gamma\left(-1, 3 \, b x^{2}\right) - \frac{3}{16} \, b e^{\left(-a\right)} \Gamma\left(-1, b x^{2}\right) + \frac{3}{16} \, b e^{a} \Gamma\left(-1, -b x^{2}\right) + \frac{3}{16} \, b e^{\left(3 \, a\right)} \Gamma\left(-1, -3 \, b x^{2}\right)"," ",0,"-3/16*b*e^(-3*a)*gamma(-1, 3*b*x^2) - 3/16*b*e^(-a)*gamma(-1, b*x^2) + 3/16*b*e^a*gamma(-1, -b*x^2) + 3/16*b*e^(3*a)*gamma(-1, -3*b*x^2)","A",0
22,1,126,0,0.303783," ","integrate(x*cosh(b*x^2+a)^7,x, algorithm=""maxima"")","\frac{e^{\left(7 \, b x^{2} + 7 \, a\right)}}{1792 \, b} + \frac{7 \, e^{\left(5 \, b x^{2} + 5 \, a\right)}}{1280 \, b} + \frac{7 \, e^{\left(3 \, b x^{2} + 3 \, a\right)}}{256 \, b} + \frac{35 \, e^{\left(b x^{2} + a\right)}}{256 \, b} - \frac{35 \, e^{\left(-b x^{2} - a\right)}}{256 \, b} - \frac{7 \, e^{\left(-3 \, b x^{2} - 3 \, a\right)}}{256 \, b} - \frac{7 \, e^{\left(-5 \, b x^{2} - 5 \, a\right)}}{1280 \, b} - \frac{e^{\left(-7 \, b x^{2} - 7 \, a\right)}}{1792 \, b}"," ",0,"1/1792*e^(7*b*x^2 + 7*a)/b + 7/1280*e^(5*b*x^2 + 5*a)/b + 7/256*e^(3*b*x^2 + 3*a)/b + 35/256*e^(b*x^2 + a)/b - 35/256*e^(-b*x^2 - a)/b - 7/256*e^(-3*b*x^2 - 3*a)/b - 7/1280*e^(-5*b*x^2 - 5*a)/b - 1/1792*e^(-7*b*x^2 - 7*a)/b","B",0
23,1,6,0,0.296792," ","integrate(x^2*cosh(x^3),x, algorithm=""maxima"")","\frac{1}{3} \, \sinh\left(x^{3}\right)"," ",0,"1/3*sinh(x^3)","A",0
24,1,6,0,0.300137," ","integrate(cosh(1/x^5)/x^6,x, algorithm=""maxima"")","-\frac{1}{5} \, \sinh\left(\frac{1}{x^{5}}\right)"," ",0,"-1/5*sinh(x^(-5))","A",0
25,1,37,0,0.345706," ","integrate(cosh(a+b/x),x, algorithm=""maxima"")","\frac{1}{2} \, {\left({\rm Ei}\left(-\frac{b}{x}\right) e^{\left(-a\right)} - {\rm Ei}\left(\frac{b}{x}\right) e^{a}\right)} b + x \cosh\left(a + \frac{b}{x}\right)"," ",0,"1/2*(Ei(-b/x)*e^(-a) - Ei(b/x)*e^a)*b + x*cosh(a + b/x)","A",0
26,1,24,0,0.351982," ","integrate(cosh(a+b/x)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\rm Ei}\left(-\frac{b}{x}\right) e^{\left(-a\right)} - \frac{1}{2} \, {\rm Ei}\left(\frac{b}{x}\right) e^{a}"," ",0,"-1/2*Ei(-b/x)*e^(-a) - 1/2*Ei(b/x)*e^a","A",0
27,1,13,0,0.301291," ","integrate(cosh(a+b/x)/x^2,x, algorithm=""maxima"")","-\frac{\sinh\left(a + \frac{b}{x}\right)}{b}"," ",0,"-sinh(a + b/x)/b","A",0
28,1,47,0,0.378230," ","integrate(cosh(a+b/x)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, b {\left(\frac{e^{\left(-a\right)} \Gamma\left(3, \frac{b}{x}\right)}{b^{3}} + \frac{e^{a} \Gamma\left(3, -\frac{b}{x}\right)}{b^{3}}\right)} - \frac{\cosh\left(a + \frac{b}{x}\right)}{2 \, x^{2}}"," ",0,"1/4*b*(e^(-a)*gamma(3, b/x)/b^3 + e^a*gamma(3, -b/x)/b^3) - 1/2*cosh(a + b/x)/x^2","C",0
29,1,48,0,0.345077," ","integrate(cosh(a+b/x)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, b {\left(\frac{e^{\left(-a\right)} \Gamma\left(4, \frac{b}{x}\right)}{b^{4}} - \frac{e^{a} \Gamma\left(4, -\frac{b}{x}\right)}{b^{4}}\right)} - \frac{\cosh\left(a + \frac{b}{x}\right)}{3 \, x^{3}}"," ",0,"1/6*b*(e^(-a)*gamma(4, b/x)/b^4 - e^a*gamma(4, -b/x)/b^4) - 1/3*cosh(a + b/x)/x^3","C",0
30,1,72,0,0.372064," ","integrate(cosh(a+b/x^2),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{\sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{\frac{b}{x^{2}}}\right) - 1\right)} e^{\left(-a\right)}}{x \sqrt{\frac{b}{x^{2}}}} - \frac{\sqrt{\pi} {\left(\operatorname{erf}\left(\sqrt{-\frac{b}{x^{2}}}\right) - 1\right)} e^{a}}{x \sqrt{-\frac{b}{x^{2}}}}\right)} + x \cosh\left(a + \frac{b}{x^{2}}\right)"," ",0,"1/2*b*(sqrt(pi)*(erf(sqrt(b/x^2)) - 1)*e^(-a)/(x*sqrt(b/x^2)) - sqrt(pi)*(erf(sqrt(-b/x^2)) - 1)*e^a/(x*sqrt(-b/x^2))) + x*cosh(a + b/x^2)","A",0
31,1,24,0,0.367286," ","integrate(cosh(a+b/x^2)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\rm Ei}\left(-\frac{b}{x^{2}}\right) e^{\left(-a\right)} - \frac{1}{4} \, {\rm Ei}\left(\frac{b}{x^{2}}\right) e^{a}"," ",0,"-1/4*Ei(-b/x^2)*e^(-a) - 1/4*Ei(b/x^2)*e^a","A",0
32,1,63,0,0.347311," ","integrate(cosh(a+b/x^2)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{e^{\left(-a\right)} \Gamma\left(\frac{3}{2}, \frac{b}{x^{2}}\right)}{x^{3} \left(\frac{b}{x^{2}}\right)^{\frac{3}{2}}} - \frac{e^{a} \Gamma\left(\frac{3}{2}, -\frac{b}{x^{2}}\right)}{x^{3} \left(-\frac{b}{x^{2}}\right)^{\frac{3}{2}}}\right)} - \frac{\cosh\left(a + \frac{b}{x^{2}}\right)}{x}"," ",0,"1/2*b*(e^(-a)*gamma(3/2, b/x^2)/(x^3*(b/x^2)^(3/2)) - e^a*gamma(3/2, -b/x^2)/(x^3*(-b/x^2)^(3/2))) - cosh(a + b/x^2)/x","A",0
33,1,13,0,0.296404," ","integrate(cosh(a+b/x^2)/x^3,x, algorithm=""maxima"")","-\frac{\sinh\left(a + \frac{b}{x^{2}}\right)}{2 \, b}"," ",0,"-1/2*sinh(a + b/x^2)/b","A",0
34,1,63,0,0.350424," ","integrate(cosh(a+b/x^2)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, b {\left(\frac{e^{\left(-a\right)} \Gamma\left(\frac{5}{2}, \frac{b}{x^{2}}\right)}{x^{5} \left(\frac{b}{x^{2}}\right)^{\frac{5}{2}}} - \frac{e^{a} \Gamma\left(\frac{5}{2}, -\frac{b}{x^{2}}\right)}{x^{5} \left(-\frac{b}{x^{2}}\right)^{\frac{5}{2}}}\right)} - \frac{\cosh\left(a + \frac{b}{x^{2}}\right)}{3 \, x^{3}}"," ",0,"1/6*b*(e^(-a)*gamma(5/2, b/x^2)/(x^5*(b/x^2)^(5/2)) - e^a*gamma(5/2, -b/x^2)/(x^5*(-b/x^2)^(5/2))) - 1/3*cosh(a + b/x^2)/x^3","A",0
35,1,61,0,0.402220," ","integrate(cosh(a+b*x^n),x, algorithm=""maxima"")","-\frac{x e^{\left(-a\right)} \Gamma\left(\frac{1}{n}, b x^{n}\right)}{2 \, \left(b x^{n}\right)^{\left(\frac{1}{n}\right)} n} - \frac{x e^{a} \Gamma\left(\frac{1}{n}, -b x^{n}\right)}{2 \, \left(-b x^{n}\right)^{\left(\frac{1}{n}\right)} n}"," ",0,"-1/2*x*e^(-a)*gamma(1/n, b*x^n)/((b*x^n)^(1/n)*n) - 1/2*x*e^a*gamma(1/n, -b*x^n)/((-b*x^n)^(1/n)*n)","A",0
36,1,30,0,0.409775," ","integrate(cosh(a+b*x^n)/x,x, algorithm=""maxima"")","\frac{{\rm Ei}\left(-b x^{n}\right) e^{\left(-a\right)}}{2 \, n} + \frac{{\rm Ei}\left(b x^{n}\right) e^{a}}{2 \, n}"," ",0,"1/2*Ei(-b*x^n)*e^(-a)/n + 1/2*Ei(b*x^n)*e^a/n","A",0
37,1,68,0,0.404436," ","integrate(cosh(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{x e^{\left(-2 \, a\right)} \Gamma\left(\frac{1}{n}, 2 \, b x^{n}\right)}{4 \, \left(2 \, b x^{n}\right)^{\left(\frac{1}{n}\right)} n} - \frac{x e^{\left(2 \, a\right)} \Gamma\left(\frac{1}{n}, -2 \, b x^{n}\right)}{4 \, \left(-2 \, b x^{n}\right)^{\left(\frac{1}{n}\right)} n}"," ",0,"1/2*x - 1/4*x*e^(-2*a)*gamma(1/n, 2*b*x^n)/((2*b*x^n)^(1/n)*n) - 1/4*x*e^(2*a)*gamma(1/n, -2*b*x^n)/((-2*b*x^n)^(1/n)*n)","A",0
38,1,37,0,0.394980," ","integrate(cosh(a+b*x^n)^2/x,x, algorithm=""maxima"")","\frac{{\rm Ei}\left(2 \, b x^{n}\right) e^{\left(2 \, a\right)}}{4 \, n} + \frac{{\rm Ei}\left(-2 \, b x^{n}\right) e^{\left(-2 \, a\right)}}{4 \, n} + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/4*Ei(2*b*x^n)*e^(2*a)/n + 1/4*Ei(-2*b*x^n)*e^(-2*a)/n + 1/2*log(x)","A",0
39,1,125,0,0.482913," ","integrate(cosh(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{x e^{\left(-3 \, a\right)} \Gamma\left(\frac{1}{n}, 3 \, b x^{n}\right)}{8 \, \left(3 \, b x^{n}\right)^{\left(\frac{1}{n}\right)} n} - \frac{3 \, x e^{\left(-a\right)} \Gamma\left(\frac{1}{n}, b x^{n}\right)}{8 \, \left(b x^{n}\right)^{\left(\frac{1}{n}\right)} n} - \frac{3 \, x e^{a} \Gamma\left(\frac{1}{n}, -b x^{n}\right)}{8 \, \left(-b x^{n}\right)^{\left(\frac{1}{n}\right)} n} - \frac{x e^{\left(3 \, a\right)} \Gamma\left(\frac{1}{n}, -3 \, b x^{n}\right)}{8 \, \left(-3 \, b x^{n}\right)^{\left(\frac{1}{n}\right)} n}"," ",0,"-1/8*x*e^(-3*a)*gamma(1/n, 3*b*x^n)/((3*b*x^n)^(1/n)*n) - 3/8*x*e^(-a)*gamma(1/n, b*x^n)/((b*x^n)^(1/n)*n) - 3/8*x*e^a*gamma(1/n, -b*x^n)/((-b*x^n)^(1/n)*n) - 1/8*x*e^(3*a)*gamma(1/n, -3*b*x^n)/((-3*b*x^n)^(1/n)*n)","A",0
40,1,62,0,0.426943," ","integrate(cosh(a+b*x^n)^3/x,x, algorithm=""maxima"")","\frac{{\rm Ei}\left(3 \, b x^{n}\right) e^{\left(3 \, a\right)}}{8 \, n} + \frac{3 \, {\rm Ei}\left(-b x^{n}\right) e^{\left(-a\right)}}{8 \, n} + \frac{{\rm Ei}\left(-3 \, b x^{n}\right) e^{\left(-3 \, a\right)}}{8 \, n} + \frac{3 \, {\rm Ei}\left(b x^{n}\right) e^{a}}{8 \, n}"," ",0,"1/8*Ei(3*b*x^n)*e^(3*a)/n + 3/8*Ei(-b*x^n)*e^(-a)/n + 1/8*Ei(-3*b*x^n)*e^(-3*a)/n + 3/8*Ei(b*x^n)*e^a/n","A",0
41,0,0,0,0.000000," ","integrate((e*x)^m*(b*cosh(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} \left(b \cosh\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*cosh(d*x^n + c))^p, x)","F",0
42,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*cosh(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} {\left(b \cosh\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*cosh(d*x^n + c) + a)^p, x)","F",0
43,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(b*cosh(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{n - 1} \left(b \cosh\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*cosh(d*x^n + c))^p, x)","F",0
44,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(b*cosh(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{2 \, n - 1} \left(b \cosh\left(d x^{n} + c\right)\right)^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*cosh(d*x^n + c))^p, x)","F",0
45,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*cosh(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{n - 1} {\left(b \cosh\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(n - 1)*(b*cosh(d*x^n + c) + a)^p, x)","F",0
46,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*cosh(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{2 \, n - 1} {\left(b \cosh\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)*(b*cosh(d*x^n + c) + a)^p, x)","F",0
47,1,85,0,0.433288," ","integrate(x^m*cosh(a+b*x^n),x, algorithm=""maxima"")","-\frac{x^{m + 1} e^{\left(-a\right)} \Gamma\left(\frac{m + 1}{n}, b x^{n}\right)}{2 \, \left(b x^{n}\right)^{\frac{m + 1}{n}} n} - \frac{x^{m + 1} e^{a} \Gamma\left(\frac{m + 1}{n}, -b x^{n}\right)}{2 \, \left(-b x^{n}\right)^{\frac{m + 1}{n}} n}"," ",0,"-1/2*x^(m + 1)*e^(-a)*gamma((m + 1)/n, b*x^n)/((b*x^n)^((m + 1)/n)*n) - 1/2*x^(m + 1)*e^a*gamma((m + 1)/n, -b*x^n)/((-b*x^n)^((m + 1)/n)*n)","A",0
48,1,101,0,0.429718," ","integrate(x^m*cosh(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{x^{m + 1} e^{\left(-2 \, a\right)} \Gamma\left(\frac{m + 1}{n}, 2 \, b x^{n}\right)}{4 \, \left(2 \, b x^{n}\right)^{\frac{m + 1}{n}} n} - \frac{x^{m + 1} e^{\left(2 \, a\right)} \Gamma\left(\frac{m + 1}{n}, -2 \, b x^{n}\right)}{4 \, \left(-2 \, b x^{n}\right)^{\frac{m + 1}{n}} n} + \frac{x^{m + 1}}{2 \, {\left(m + 1\right)}}"," ",0,"-1/4*x^(m + 1)*e^(-2*a)*gamma((m + 1)/n, 2*b*x^n)/((2*b*x^n)^((m + 1)/n)*n) - 1/4*x^(m + 1)*e^(2*a)*gamma((m + 1)/n, -2*b*x^n)/((-2*b*x^n)^((m + 1)/n)*n) + 1/2*x^(m + 1)/(m + 1)","A",0
49,1,173,0,0.508269," ","integrate(x^m*cosh(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{x^{m + 1} e^{\left(-3 \, a\right)} \Gamma\left(\frac{m + 1}{n}, 3 \, b x^{n}\right)}{8 \, \left(3 \, b x^{n}\right)^{\frac{m + 1}{n}} n} - \frac{3 \, x^{m + 1} e^{\left(-a\right)} \Gamma\left(\frac{m + 1}{n}, b x^{n}\right)}{8 \, \left(b x^{n}\right)^{\frac{m + 1}{n}} n} - \frac{3 \, x^{m + 1} e^{a} \Gamma\left(\frac{m + 1}{n}, -b x^{n}\right)}{8 \, \left(-b x^{n}\right)^{\frac{m + 1}{n}} n} - \frac{x^{m + 1} e^{\left(3 \, a\right)} \Gamma\left(\frac{m + 1}{n}, -3 \, b x^{n}\right)}{8 \, \left(-3 \, b x^{n}\right)^{\frac{m + 1}{n}} n}"," ",0,"-1/8*x^(m + 1)*e^(-3*a)*gamma((m + 1)/n, 3*b*x^n)/((3*b*x^n)^((m + 1)/n)*n) - 3/8*x^(m + 1)*e^(-a)*gamma((m + 1)/n, b*x^n)/((b*x^n)^((m + 1)/n)*n) - 3/8*x^(m + 1)*e^a*gamma((m + 1)/n, -b*x^n)/((-b*x^n)^((m + 1)/n)*n) - 1/8*x^(m + 1)*e^(3*a)*gamma((m + 1)/n, -3*b*x^n)/((-3*b*x^n)^((m + 1)/n)*n)","A",0
50,1,34,0,0.397817," ","integrate(x^(-1-n)*cosh(a+b*x^n),x, algorithm=""maxima"")","-\frac{b e^{\left(-a\right)} \Gamma\left(-1, b x^{n}\right)}{2 \, n} + \frac{b e^{a} \Gamma\left(-1, -b x^{n}\right)}{2 \, n}"," ",0,"-1/2*b*e^(-a)*gamma(-1, b*x^n)/n + 1/2*b*e^a*gamma(-1, -b*x^n)/n","A",0
51,1,47,0,0.412118," ","integrate(x^(-1-n)*cosh(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{b e^{\left(-2 \, a\right)} \Gamma\left(-1, 2 \, b x^{n}\right)}{2 \, n} + \frac{b e^{\left(2 \, a\right)} \Gamma\left(-1, -2 \, b x^{n}\right)}{2 \, n} - \frac{1}{2 \, n x^{n}}"," ",0,"-1/2*b*e^(-2*a)*gamma(-1, 2*b*x^n)/n + 1/2*b*e^(2*a)*gamma(-1, -2*b*x^n)/n - 1/2/(n*x^n)","A",0
52,1,70,0,0.451354," ","integrate(x^(-1-n)*cosh(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{3 \, b e^{\left(-3 \, a\right)} \Gamma\left(-1, 3 \, b x^{n}\right)}{8 \, n} - \frac{3 \, b e^{\left(-a\right)} \Gamma\left(-1, b x^{n}\right)}{8 \, n} + \frac{3 \, b e^{a} \Gamma\left(-1, -b x^{n}\right)}{8 \, n} + \frac{3 \, b e^{\left(3 \, a\right)} \Gamma\left(-1, -3 \, b x^{n}\right)}{8 \, n}"," ",0,"-3/8*b*e^(-3*a)*gamma(-1, 3*b*x^n)/n - 3/8*b*e^(-a)*gamma(-1, b*x^n)/n + 3/8*b*e^a*gamma(-1, -b*x^n)/n + 3/8*b*e^(3*a)*gamma(-1, -3*b*x^n)/n","A",0
53,1,69,0,0.397264," ","integrate(x^(-1+1/2*n)*cosh(a+b*x^n),x, algorithm=""maxima"")","\frac{\sqrt{\pi} x^{\frac{1}{2} \, n} {\left(\operatorname{erf}\left(\sqrt{b x^{n}}\right) - 1\right)} e^{\left(-a\right)}}{2 \, \sqrt{b x^{n}} n} + \frac{\sqrt{\pi} x^{\frac{1}{2} \, n} {\left(\operatorname{erf}\left(\sqrt{-b x^{n}}\right) - 1\right)} e^{a}}{2 \, \sqrt{-b x^{n}} n}"," ",0,"1/2*sqrt(pi)*x^(1/2*n)*(erf(sqrt(b*x^n)) - 1)*e^(-a)/(sqrt(b*x^n)*n) + 1/2*sqrt(pi)*x^(1/2*n)*(erf(sqrt(-b*x^n)) - 1)*e^a/(sqrt(-b*x^n)*n)","A",0
54,1,818,0,0.687907," ","integrate(x^2*cosh((b*x+a)^2),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \cosh\left({\left(b x + a\right)}^{2}\right) - \frac{1}{6} \, {\left(\frac{{\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{3} b^{4} {\left(\operatorname{erf}\left(\frac{\sqrt{{\left(b^{2} x + a b\right)}^{2}}}{b}\right) - 1\right)}}{\sqrt{{\left(b^{2} x + a b\right)}^{2}} \left(-b^{2}\right)^{\frac{7}{2}}} - \frac{3 \, {\left(b^{2} x + a b\right)}^{3} a b^{4} \Gamma\left(\frac{3}{2}, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{{\left({\left(b^{2} x + a b\right)}^{2}\right)}^{\frac{3}{2}} \left(-b^{2}\right)^{\frac{7}{2}}} + \frac{3 \, a^{2} b^{4} e^{\left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{\left(-b^{2}\right)^{\frac{7}{2}}} + \frac{b^{4} \Gamma\left(2, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{\left(-b^{2}\right)^{\frac{7}{2}}}\right)} a}{\sqrt{-b^{2}}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{4} b^{5} {\left(\operatorname{erf}\left(\frac{\sqrt{{\left(b^{2} x + a b\right)}^{2}}}{b}\right) - 1\right)}}{\sqrt{{\left(b^{2} x + a b\right)}^{2}} \left(-b^{2}\right)^{\frac{9}{2}}} - \frac{6 \, {\left(b^{2} x + a b\right)}^{3} a^{2} b^{5} \Gamma\left(\frac{3}{2}, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{{\left({\left(b^{2} x + a b\right)}^{2}\right)}^{\frac{3}{2}} \left(-b^{2}\right)^{\frac{9}{2}}} + \frac{4 \, a^{3} b^{5} e^{\left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{\left(-b^{2}\right)^{\frac{9}{2}}} - \frac{{\left(b^{2} x + a b\right)}^{5} b^{5} \Gamma\left(\frac{5}{2}, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{{\left({\left(b^{2} x + a b\right)}^{2}\right)}^{\frac{5}{2}} \left(-b^{2}\right)^{\frac{9}{2}}} + \frac{4 \, a b^{5} \Gamma\left(2, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{\left(-b^{2}\right)^{\frac{9}{2}}}\right)} b}{\sqrt{-b^{2}}} - \frac{a {\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}\right) - 1\right)}}{b^{4} \sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}} - \frac{3 \, a^{2} e^{\left(\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{b^{3}} + \frac{\Gamma\left(2, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{3}} - \frac{3 \, {\left(b^{2} x + a b\right)}^{3} a \Gamma\left(\frac{3}{2}, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{6} \left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)^{\frac{3}{2}}}\right)}}{b} + \frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}\right) - 1\right)}}{b^{5} \sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}} - \frac{4 \, a^{3} e^{\left(\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{b^{4}} + \frac{4 \, a \Gamma\left(2, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{4}} - \frac{6 \, {\left(b^{2} x + a b\right)}^{3} a^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{7} \left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)^{\frac{3}{2}}} - \frac{{\left(b^{2} x + a b\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{9} \left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)^{\frac{5}{2}}}\right)} b"," ",0,"1/3*x^3*cosh((b*x + a)^2) - 1/6*((sqrt(pi)*(b^2*x + a*b)*a^3*b^4*(erf(sqrt((b^2*x + a*b)^2)/b) - 1)/(sqrt((b^2*x + a*b)^2)*(-b^2)^(7/2)) - 3*(b^2*x + a*b)^3*a*b^4*gamma(3/2, (b^2*x + a*b)^2/b^2)/(((b^2*x + a*b)^2)^(3/2)*(-b^2)^(7/2)) + 3*a^2*b^4*e^(-(b^2*x + a*b)^2/b^2)/(-b^2)^(7/2) + b^4*gamma(2, (b^2*x + a*b)^2/b^2)/(-b^2)^(7/2))*a/sqrt(-b^2) + (sqrt(pi)*(b^2*x + a*b)*a^4*b^5*(erf(sqrt((b^2*x + a*b)^2)/b) - 1)/(sqrt((b^2*x + a*b)^2)*(-b^2)^(9/2)) - 6*(b^2*x + a*b)^3*a^2*b^5*gamma(3/2, (b^2*x + a*b)^2/b^2)/(((b^2*x + a*b)^2)^(3/2)*(-b^2)^(9/2)) + 4*a^3*b^5*e^(-(b^2*x + a*b)^2/b^2)/(-b^2)^(9/2) - (b^2*x + a*b)^5*b^5*gamma(5/2, (b^2*x + a*b)^2/b^2)/(((b^2*x + a*b)^2)^(5/2)*(-b^2)^(9/2)) + 4*a*b^5*gamma(2, (b^2*x + a*b)^2/b^2)/(-b^2)^(9/2))*b/sqrt(-b^2) - a*(sqrt(pi)*(b^2*x + a*b)*a^3*(erf(sqrt(-(b^2*x + a*b)^2/b^2)) - 1)/(b^4*sqrt(-(b^2*x + a*b)^2/b^2)) - 3*a^2*e^((b^2*x + a*b)^2/b^2)/b^3 + gamma(2, -(b^2*x + a*b)^2/b^2)/b^3 - 3*(b^2*x + a*b)^3*a*gamma(3/2, -(b^2*x + a*b)^2/b^2)/(b^6*(-(b^2*x + a*b)^2/b^2)^(3/2)))/b + sqrt(pi)*(b^2*x + a*b)*a^4*(erf(sqrt(-(b^2*x + a*b)^2/b^2)) - 1)/(b^5*sqrt(-(b^2*x + a*b)^2/b^2)) - 4*a^3*e^((b^2*x + a*b)^2/b^2)/b^4 + 4*a*gamma(2, -(b^2*x + a*b)^2/b^2)/b^4 - 6*(b^2*x + a*b)^3*a^2*gamma(3/2, -(b^2*x + a*b)^2/b^2)/(b^7*(-(b^2*x + a*b)^2/b^2)^(3/2)) - (b^2*x + a*b)^5*gamma(5/2, -(b^2*x + a*b)^2/b^2)/(b^9*(-(b^2*x + a*b)^2/b^2)^(5/2)))*b","B",0
55,1,650,0,0.645025," ","integrate(x*cosh((b*x+a)^2),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \cosh\left({\left(b x + a\right)}^{2}\right) - \frac{1}{4} \, {\left(\frac{{\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{2} b^{3} {\left(\operatorname{erf}\left(\frac{\sqrt{{\left(b^{2} x + a b\right)}^{2}}}{b}\right) - 1\right)}}{\sqrt{{\left(b^{2} x + a b\right)}^{2}} \left(-b^{2}\right)^{\frac{5}{2}}} - \frac{{\left(b^{2} x + a b\right)}^{3} b^{3} \Gamma\left(\frac{3}{2}, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{{\left({\left(b^{2} x + a b\right)}^{2}\right)}^{\frac{3}{2}} \left(-b^{2}\right)^{\frac{5}{2}}} + \frac{2 \, a b^{3} e^{\left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{\left(-b^{2}\right)^{\frac{5}{2}}}\right)} a}{\sqrt{-b^{2}}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{3} b^{4} {\left(\operatorname{erf}\left(\frac{\sqrt{{\left(b^{2} x + a b\right)}^{2}}}{b}\right) - 1\right)}}{\sqrt{{\left(b^{2} x + a b\right)}^{2}} \left(-b^{2}\right)^{\frac{7}{2}}} - \frac{3 \, {\left(b^{2} x + a b\right)}^{3} a b^{4} \Gamma\left(\frac{3}{2}, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{{\left({\left(b^{2} x + a b\right)}^{2}\right)}^{\frac{3}{2}} \left(-b^{2}\right)^{\frac{7}{2}}} + \frac{3 \, a^{2} b^{4} e^{\left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{\left(-b^{2}\right)^{\frac{7}{2}}} + \frac{b^{4} \Gamma\left(2, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{\left(-b^{2}\right)^{\frac{7}{2}}}\right)} b}{\sqrt{-b^{2}}} + \frac{a {\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}\right) - 1\right)}}{b^{3} \sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}} - \frac{2 \, a e^{\left(\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{b^{2}} - \frac{{\left(b^{2} x + a b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{5} \left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)^{\frac{3}{2}}}\right)}}{b} - \frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}\right) - 1\right)}}{b^{4} \sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}} + \frac{3 \, a^{2} e^{\left(\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{b^{3}} - \frac{\Gamma\left(2, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{3}} + \frac{3 \, {\left(b^{2} x + a b\right)}^{3} a \Gamma\left(\frac{3}{2}, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{6} \left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)^{\frac{3}{2}}}\right)} b"," ",0,"1/2*x^2*cosh((b*x + a)^2) - 1/4*((sqrt(pi)*(b^2*x + a*b)*a^2*b^3*(erf(sqrt((b^2*x + a*b)^2)/b) - 1)/(sqrt((b^2*x + a*b)^2)*(-b^2)^(5/2)) - (b^2*x + a*b)^3*b^3*gamma(3/2, (b^2*x + a*b)^2/b^2)/(((b^2*x + a*b)^2)^(3/2)*(-b^2)^(5/2)) + 2*a*b^3*e^(-(b^2*x + a*b)^2/b^2)/(-b^2)^(5/2))*a/sqrt(-b^2) + (sqrt(pi)*(b^2*x + a*b)*a^3*b^4*(erf(sqrt((b^2*x + a*b)^2)/b) - 1)/(sqrt((b^2*x + a*b)^2)*(-b^2)^(7/2)) - 3*(b^2*x + a*b)^3*a*b^4*gamma(3/2, (b^2*x + a*b)^2/b^2)/(((b^2*x + a*b)^2)^(3/2)*(-b^2)^(7/2)) + 3*a^2*b^4*e^(-(b^2*x + a*b)^2/b^2)/(-b^2)^(7/2) + b^4*gamma(2, (b^2*x + a*b)^2/b^2)/(-b^2)^(7/2))*b/sqrt(-b^2) + a*(sqrt(pi)*(b^2*x + a*b)*a^2*(erf(sqrt(-(b^2*x + a*b)^2/b^2)) - 1)/(b^3*sqrt(-(b^2*x + a*b)^2/b^2)) - 2*a*e^((b^2*x + a*b)^2/b^2)/b^2 - (b^2*x + a*b)^3*gamma(3/2, -(b^2*x + a*b)^2/b^2)/(b^5*(-(b^2*x + a*b)^2/b^2)^(3/2)))/b - sqrt(pi)*(b^2*x + a*b)*a^3*(erf(sqrt(-(b^2*x + a*b)^2/b^2)) - 1)/(b^4*sqrt(-(b^2*x + a*b)^2/b^2)) + 3*a^2*e^((b^2*x + a*b)^2/b^2)/b^3 - gamma(2, -(b^2*x + a*b)^2/b^2)/b^3 + 3*(b^2*x + a*b)^3*a*gamma(3/2, -(b^2*x + a*b)^2/b^2)/(b^6*(-(b^2*x + a*b)^2/b^2)^(3/2)))*b","B",0
56,1,478,0,0.606633," ","integrate(cosh((b*x+a)^2),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{{\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a b^{2} {\left(\operatorname{erf}\left(\frac{\sqrt{{\left(b^{2} x + a b\right)}^{2}}}{b}\right) - 1\right)}}{\sqrt{{\left(b^{2} x + a b\right)}^{2}} \left(-b^{2}\right)^{\frac{3}{2}}} + \frac{b^{2} e^{\left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{\left(-b^{2}\right)^{\frac{3}{2}}}\right)} a}{\sqrt{-b^{2}}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{2} b^{3} {\left(\operatorname{erf}\left(\frac{\sqrt{{\left(b^{2} x + a b\right)}^{2}}}{b}\right) - 1\right)}}{\sqrt{{\left(b^{2} x + a b\right)}^{2}} \left(-b^{2}\right)^{\frac{5}{2}}} - \frac{{\left(b^{2} x + a b\right)}^{3} b^{3} \Gamma\left(\frac{3}{2}, \frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{{\left({\left(b^{2} x + a b\right)}^{2}\right)}^{\frac{3}{2}} \left(-b^{2}\right)^{\frac{5}{2}}} + \frac{2 \, a b^{3} e^{\left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{\left(-b^{2}\right)^{\frac{5}{2}}}\right)} b}{\sqrt{-b^{2}}} - \frac{a {\left(\frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}\right) - 1\right)}}{b^{2} \sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}} - \frac{e^{\left(\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{b}\right)}}{b} + \frac{\sqrt{\pi} {\left(b^{2} x + a b\right)} a^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}\right) - 1\right)}}{b^{3} \sqrt{-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}}} - \frac{2 \, a e^{\left(\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}}{b^{2}} - \frac{{\left(b^{2} x + a b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)}{b^{5} \left(-\frac{{\left(b^{2} x + a b\right)}^{2}}{b^{2}}\right)^{\frac{3}{2}}}\right)} b + x \cosh\left({\left(b x + a\right)}^{2}\right)"," ",0,"-1/2*((sqrt(pi)*(b^2*x + a*b)*a*b^2*(erf(sqrt((b^2*x + a*b)^2)/b) - 1)/(sqrt((b^2*x + a*b)^2)*(-b^2)^(3/2)) + b^2*e^(-(b^2*x + a*b)^2/b^2)/(-b^2)^(3/2))*a/sqrt(-b^2) + (sqrt(pi)*(b^2*x + a*b)*a^2*b^3*(erf(sqrt((b^2*x + a*b)^2)/b) - 1)/(sqrt((b^2*x + a*b)^2)*(-b^2)^(5/2)) - (b^2*x + a*b)^3*b^3*gamma(3/2, (b^2*x + a*b)^2/b^2)/(((b^2*x + a*b)^2)^(3/2)*(-b^2)^(5/2)) + 2*a*b^3*e^(-(b^2*x + a*b)^2/b^2)/(-b^2)^(5/2))*b/sqrt(-b^2) - a*(sqrt(pi)*(b^2*x + a*b)*a*(erf(sqrt(-(b^2*x + a*b)^2/b^2)) - 1)/(b^2*sqrt(-(b^2*x + a*b)^2/b^2)) - e^((b^2*x + a*b)^2/b^2)/b)/b + sqrt(pi)*(b^2*x + a*b)*a^2*(erf(sqrt(-(b^2*x + a*b)^2/b^2)) - 1)/(b^3*sqrt(-(b^2*x + a*b)^2/b^2)) - 2*a*e^((b^2*x + a*b)^2/b^2)/b^2 - (b^2*x + a*b)^3*gamma(3/2, -(b^2*x + a*b)^2/b^2)/(b^5*(-(b^2*x + a*b)^2/b^2)^(3/2)))*b + x*cosh((b*x + a)^2)","B",0
57,0,0,0,0.000000," ","integrate(cosh((b*x+a)^2)/x,x, algorithm=""maxima"")","\int \frac{\cosh\left({\left(b x + a\right)}^{2}\right)}{x}\,{d x}"," ",0,"integrate(cosh((b*x + a)^2)/x, x)","F",0
58,0,0,0,0.000000," ","integrate(cosh((b*x+a)^2)/x^2,x, algorithm=""maxima"")","\int \frac{\cosh\left({\left(b x + a\right)}^{2}\right)}{x^{2}}\,{d x}"," ",0,"integrate(cosh((b*x + a)^2)/x^2, x)","F",0
59,1,486,0,0.337954," ","integrate(x^2*cosh(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{2 \, d^{3} x^{3} \cosh\left(\sqrt{d x + c} b + a\right) + {\left(\frac{c^{3} e^{\left(\sqrt{d x + c} b + a\right)}}{b} + \frac{c^{3} e^{\left(-\sqrt{d x + c} b - a\right)}}{b} - \frac{3 \, {\left({\left(d x + c\right)} b^{2} e^{a} - 2 \, \sqrt{d x + c} b e^{a} + 2 \, e^{a}\right)} c^{2} e^{\left(\sqrt{d x + c} b\right)}}{b^{3}} - \frac{3 \, {\left({\left(d x + c\right)} b^{2} + 2 \, \sqrt{d x + c} b + 2\right)} c^{2} e^{\left(-\sqrt{d x + c} b - a\right)}}{b^{3}} + \frac{3 \, {\left({\left(d x + c\right)}^{2} b^{4} e^{a} - 4 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} e^{a} + 12 \, {\left(d x + c\right)} b^{2} e^{a} - 24 \, \sqrt{d x + c} b e^{a} + 24 \, e^{a}\right)} c e^{\left(\sqrt{d x + c} b\right)}}{b^{5}} + \frac{3 \, {\left({\left(d x + c\right)}^{2} b^{4} + 4 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} + 12 \, {\left(d x + c\right)} b^{2} + 24 \, \sqrt{d x + c} b + 24\right)} c e^{\left(-\sqrt{d x + c} b - a\right)}}{b^{5}} - \frac{{\left({\left(d x + c\right)}^{3} b^{6} e^{a} - 6 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{5} e^{a} + 30 \, {\left(d x + c\right)}^{2} b^{4} e^{a} - 120 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} e^{a} + 360 \, {\left(d x + c\right)} b^{2} e^{a} - 720 \, \sqrt{d x + c} b e^{a} + 720 \, e^{a}\right)} e^{\left(\sqrt{d x + c} b\right)}}{b^{7}} - \frac{{\left({\left(d x + c\right)}^{3} b^{6} + 6 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{5} + 30 \, {\left(d x + c\right)}^{2} b^{4} + 120 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} + 360 \, {\left(d x + c\right)} b^{2} + 720 \, \sqrt{d x + c} b + 720\right)} e^{\left(-\sqrt{d x + c} b - a\right)}}{b^{7}}\right)} b}{6 \, d^{3}}"," ",0,"1/6*(2*d^3*x^3*cosh(sqrt(d*x + c)*b + a) + (c^3*e^(sqrt(d*x + c)*b + a)/b + c^3*e^(-sqrt(d*x + c)*b - a)/b - 3*((d*x + c)*b^2*e^a - 2*sqrt(d*x + c)*b*e^a + 2*e^a)*c^2*e^(sqrt(d*x + c)*b)/b^3 - 3*((d*x + c)*b^2 + 2*sqrt(d*x + c)*b + 2)*c^2*e^(-sqrt(d*x + c)*b - a)/b^3 + 3*((d*x + c)^2*b^4*e^a - 4*(d*x + c)^(3/2)*b^3*e^a + 12*(d*x + c)*b^2*e^a - 24*sqrt(d*x + c)*b*e^a + 24*e^a)*c*e^(sqrt(d*x + c)*b)/b^5 + 3*((d*x + c)^2*b^4 + 4*(d*x + c)^(3/2)*b^3 + 12*(d*x + c)*b^2 + 24*sqrt(d*x + c)*b + 24)*c*e^(-sqrt(d*x + c)*b - a)/b^5 - ((d*x + c)^3*b^6*e^a - 6*(d*x + c)^(5/2)*b^5*e^a + 30*(d*x + c)^2*b^4*e^a - 120*(d*x + c)^(3/2)*b^3*e^a + 360*(d*x + c)*b^2*e^a - 720*sqrt(d*x + c)*b*e^a + 720*e^a)*e^(sqrt(d*x + c)*b)/b^7 - ((d*x + c)^3*b^6 + 6*(d*x + c)^(5/2)*b^5 + 30*(d*x + c)^2*b^4 + 120*(d*x + c)^(3/2)*b^3 + 360*(d*x + c)*b^2 + 720*sqrt(d*x + c)*b + 720)*e^(-sqrt(d*x + c)*b - a)/b^7)*b)/d^3","A",0
60,1,291,0,0.331739," ","integrate(x*cosh(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{2 \, d^{2} x^{2} \cosh\left(\sqrt{d x + c} b + a\right) - {\left(\frac{c^{2} e^{\left(\sqrt{d x + c} b + a\right)}}{b} + \frac{c^{2} e^{\left(-\sqrt{d x + c} b - a\right)}}{b} - \frac{2 \, {\left({\left(d x + c\right)} b^{2} e^{a} - 2 \, \sqrt{d x + c} b e^{a} + 2 \, e^{a}\right)} c e^{\left(\sqrt{d x + c} b\right)}}{b^{3}} - \frac{2 \, {\left({\left(d x + c\right)} b^{2} + 2 \, \sqrt{d x + c} b + 2\right)} c e^{\left(-\sqrt{d x + c} b - a\right)}}{b^{3}} + \frac{{\left({\left(d x + c\right)}^{2} b^{4} e^{a} - 4 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} e^{a} + 12 \, {\left(d x + c\right)} b^{2} e^{a} - 24 \, \sqrt{d x + c} b e^{a} + 24 \, e^{a}\right)} e^{\left(\sqrt{d x + c} b\right)}}{b^{5}} + \frac{{\left({\left(d x + c\right)}^{2} b^{4} + 4 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} + 12 \, {\left(d x + c\right)} b^{2} + 24 \, \sqrt{d x + c} b + 24\right)} e^{\left(-\sqrt{d x + c} b - a\right)}}{b^{5}}\right)} b}{4 \, d^{2}}"," ",0,"1/4*(2*d^2*x^2*cosh(sqrt(d*x + c)*b + a) - (c^2*e^(sqrt(d*x + c)*b + a)/b + c^2*e^(-sqrt(d*x + c)*b - a)/b - 2*((d*x + c)*b^2*e^a - 2*sqrt(d*x + c)*b*e^a + 2*e^a)*c*e^(sqrt(d*x + c)*b)/b^3 - 2*((d*x + c)*b^2 + 2*sqrt(d*x + c)*b + 2)*c*e^(-sqrt(d*x + c)*b - a)/b^3 + ((d*x + c)^2*b^4*e^a - 4*(d*x + c)^(3/2)*b^3*e^a + 12*(d*x + c)*b^2*e^a - 24*sqrt(d*x + c)*b*e^a + 24*e^a)*e^(sqrt(d*x + c)*b)/b^5 + ((d*x + c)^2*b^4 + 4*(d*x + c)^(3/2)*b^3 + 12*(d*x + c)*b^2 + 24*sqrt(d*x + c)*b + 24)*e^(-sqrt(d*x + c)*b - a)/b^5)*b)/d^2","A",0
61,1,110,0,0.312626," ","integrate(cosh(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","-\frac{b {\left(\frac{{\left({\left(d x + c\right)} b^{2} e^{a} - 2 \, \sqrt{d x + c} b e^{a} + 2 \, e^{a}\right)} e^{\left(\sqrt{d x + c} b\right)}}{b^{3}} + \frac{{\left({\left(d x + c\right)} b^{2} + 2 \, \sqrt{d x + c} b + 2\right)} e^{\left(-\sqrt{d x + c} b - a\right)}}{b^{3}}\right)} - 2 \, {\left(d x + c\right)} \cosh\left(\sqrt{d x + c} b + a\right)}{2 \, d}"," ",0,"-1/2*(b*(((d*x + c)*b^2*e^a - 2*sqrt(d*x + c)*b*e^a + 2*e^a)*e^(sqrt(d*x + c)*b)/b^3 + ((d*x + c)*b^2 + 2*sqrt(d*x + c)*b + 2)*e^(-sqrt(d*x + c)*b - a)/b^3) - 2*(d*x + c)*cosh(sqrt(d*x + c)*b + a))/d","B",0
62,0,0,0,0.000000," ","integrate(cosh(a+b*(d*x+c)^(1/2))/x,x, algorithm=""maxima"")","\int \frac{\cosh\left(\sqrt{d x + c} b + a\right)}{x}\,{d x}"," ",0,"integrate(cosh(sqrt(d*x + c)*b + a)/x, x)","F",0
63,0,0,0,0.000000," ","integrate(cosh(a+b*(d*x+c)^(1/2))/x^2,x, algorithm=""maxima"")","\int \frac{\cosh\left(\sqrt{d x + c} b + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cosh(sqrt(d*x + c)*b + a)/x^2, x)","F",0
64,1,642,0,0.400553," ","integrate(x^2*cosh(a+b*(d*x+c)^(1/3)),x, algorithm=""maxima"")","\frac{2 \, d^{3} x^{3} \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) + {\left(\frac{c^{3} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}}{b} + \frac{c^{3} e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b} - \frac{3 \, {\left({\left(d x + c\right)} b^{3} e^{a} - 3 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} e^{a} + 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b e^{a} - 6 \, e^{a}\right)} c^{2} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{b^{4}} - \frac{3 \, {\left({\left(d x + c\right)} b^{3} + 3 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 6\right)} c^{2} e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b^{4}} + \frac{3 \, {\left({\left(d x + c\right)}^{2} b^{6} e^{a} - 6 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{5} e^{a} + 30 \, {\left(d x + c\right)}^{\frac{4}{3}} b^{4} e^{a} - 120 \, {\left(d x + c\right)} b^{3} e^{a} + 360 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} e^{a} - 720 \, {\left(d x + c\right)}^{\frac{1}{3}} b e^{a} + 720 \, e^{a}\right)} c e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{b^{7}} + \frac{3 \, {\left({\left(d x + c\right)}^{2} b^{6} + 6 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{5} + 30 \, {\left(d x + c\right)}^{\frac{4}{3}} b^{4} + 120 \, {\left(d x + c\right)} b^{3} + 360 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 720 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 720\right)} c e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b^{7}} - \frac{{\left({\left(d x + c\right)}^{3} b^{9} e^{a} - 9 \, {\left(d x + c\right)}^{\frac{8}{3}} b^{8} e^{a} + 72 \, {\left(d x + c\right)}^{\frac{7}{3}} b^{7} e^{a} - 504 \, {\left(d x + c\right)}^{2} b^{6} e^{a} + 3024 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{5} e^{a} - 15120 \, {\left(d x + c\right)}^{\frac{4}{3}} b^{4} e^{a} + 60480 \, {\left(d x + c\right)} b^{3} e^{a} - 181440 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} e^{a} + 362880 \, {\left(d x + c\right)}^{\frac{1}{3}} b e^{a} - 362880 \, e^{a}\right)} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{b^{10}} - \frac{{\left({\left(d x + c\right)}^{3} b^{9} + 9 \, {\left(d x + c\right)}^{\frac{8}{3}} b^{8} + 72 \, {\left(d x + c\right)}^{\frac{7}{3}} b^{7} + 504 \, {\left(d x + c\right)}^{2} b^{6} + 3024 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{5} + 15120 \, {\left(d x + c\right)}^{\frac{4}{3}} b^{4} + 60480 \, {\left(d x + c\right)} b^{3} + 181440 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 362880 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 362880\right)} e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b^{10}}\right)} b}{6 \, d^{3}}"," ",0,"1/6*(2*d^3*x^3*cosh((d*x + c)^(1/3)*b + a) + (c^3*e^((d*x + c)^(1/3)*b + a)/b + c^3*e^(-(d*x + c)^(1/3)*b - a)/b - 3*((d*x + c)*b^3*e^a - 3*(d*x + c)^(2/3)*b^2*e^a + 6*(d*x + c)^(1/3)*b*e^a - 6*e^a)*c^2*e^((d*x + c)^(1/3)*b)/b^4 - 3*((d*x + c)*b^3 + 3*(d*x + c)^(2/3)*b^2 + 6*(d*x + c)^(1/3)*b + 6)*c^2*e^(-(d*x + c)^(1/3)*b - a)/b^4 + 3*((d*x + c)^2*b^6*e^a - 6*(d*x + c)^(5/3)*b^5*e^a + 30*(d*x + c)^(4/3)*b^4*e^a - 120*(d*x + c)*b^3*e^a + 360*(d*x + c)^(2/3)*b^2*e^a - 720*(d*x + c)^(1/3)*b*e^a + 720*e^a)*c*e^((d*x + c)^(1/3)*b)/b^7 + 3*((d*x + c)^2*b^6 + 6*(d*x + c)^(5/3)*b^5 + 30*(d*x + c)^(4/3)*b^4 + 120*(d*x + c)*b^3 + 360*(d*x + c)^(2/3)*b^2 + 720*(d*x + c)^(1/3)*b + 720)*c*e^(-(d*x + c)^(1/3)*b - a)/b^7 - ((d*x + c)^3*b^9*e^a - 9*(d*x + c)^(8/3)*b^8*e^a + 72*(d*x + c)^(7/3)*b^7*e^a - 504*(d*x + c)^2*b^6*e^a + 3024*(d*x + c)^(5/3)*b^5*e^a - 15120*(d*x + c)^(4/3)*b^4*e^a + 60480*(d*x + c)*b^3*e^a - 181440*(d*x + c)^(2/3)*b^2*e^a + 362880*(d*x + c)^(1/3)*b*e^a - 362880*e^a)*e^((d*x + c)^(1/3)*b)/b^10 - ((d*x + c)^3*b^9 + 9*(d*x + c)^(8/3)*b^8 + 72*(d*x + c)^(7/3)*b^7 + 504*(d*x + c)^2*b^6 + 3024*(d*x + c)^(5/3)*b^5 + 15120*(d*x + c)^(4/3)*b^4 + 60480*(d*x + c)*b^3 + 181440*(d*x + c)^(2/3)*b^2 + 362880*(d*x + c)^(1/3)*b + 362880)*e^(-(d*x + c)^(1/3)*b - a)/b^10)*b)/d^3","A",0
65,1,369,0,0.323143," ","integrate(x*cosh(a+b*(d*x+c)^(1/3)),x, algorithm=""maxima"")","\frac{2 \, d^{2} x^{2} \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right) - {\left(\frac{c^{2} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}}{b} + \frac{c^{2} e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b} - \frac{2 \, {\left({\left(d x + c\right)} b^{3} e^{a} - 3 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} e^{a} + 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b e^{a} - 6 \, e^{a}\right)} c e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{b^{4}} - \frac{2 \, {\left({\left(d x + c\right)} b^{3} + 3 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 6\right)} c e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b^{4}} + \frac{{\left({\left(d x + c\right)}^{2} b^{6} e^{a} - 6 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{5} e^{a} + 30 \, {\left(d x + c\right)}^{\frac{4}{3}} b^{4} e^{a} - 120 \, {\left(d x + c\right)} b^{3} e^{a} + 360 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} e^{a} - 720 \, {\left(d x + c\right)}^{\frac{1}{3}} b e^{a} + 720 \, e^{a}\right)} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{b^{7}} + \frac{{\left({\left(d x + c\right)}^{2} b^{6} + 6 \, {\left(d x + c\right)}^{\frac{5}{3}} b^{5} + 30 \, {\left(d x + c\right)}^{\frac{4}{3}} b^{4} + 120 \, {\left(d x + c\right)} b^{3} + 360 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 720 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 720\right)} e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b^{7}}\right)} b}{4 \, d^{2}}"," ",0,"1/4*(2*d^2*x^2*cosh((d*x + c)^(1/3)*b + a) - (c^2*e^((d*x + c)^(1/3)*b + a)/b + c^2*e^(-(d*x + c)^(1/3)*b - a)/b - 2*((d*x + c)*b^3*e^a - 3*(d*x + c)^(2/3)*b^2*e^a + 6*(d*x + c)^(1/3)*b*e^a - 6*e^a)*c*e^((d*x + c)^(1/3)*b)/b^4 - 2*((d*x + c)*b^3 + 3*(d*x + c)^(2/3)*b^2 + 6*(d*x + c)^(1/3)*b + 6)*c*e^(-(d*x + c)^(1/3)*b - a)/b^4 + ((d*x + c)^2*b^6*e^a - 6*(d*x + c)^(5/3)*b^5*e^a + 30*(d*x + c)^(4/3)*b^4*e^a - 120*(d*x + c)*b^3*e^a + 360*(d*x + c)^(2/3)*b^2*e^a - 720*(d*x + c)^(1/3)*b*e^a + 720*e^a)*e^((d*x + c)^(1/3)*b)/b^7 + ((d*x + c)^2*b^6 + 6*(d*x + c)^(5/3)*b^5 + 30*(d*x + c)^(4/3)*b^4 + 120*(d*x + c)*b^3 + 360*(d*x + c)^(2/3)*b^2 + 720*(d*x + c)^(1/3)*b + 720)*e^(-(d*x + c)^(1/3)*b - a)/b^7)*b)/d^2","A",0
66,1,136,0,0.325054," ","integrate(cosh(a+b*(d*x+c)^(1/3)),x, algorithm=""maxima"")","-\frac{b {\left(\frac{{\left({\left(d x + c\right)} b^{3} e^{a} - 3 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} e^{a} + 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b e^{a} - 6 \, e^{a}\right)} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{b^{4}} + \frac{{\left({\left(d x + c\right)} b^{3} + 3 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 6 \, {\left(d x + c\right)}^{\frac{1}{3}} b + 6\right)} e^{\left(-{\left(d x + c\right)}^{\frac{1}{3}} b - a\right)}}{b^{4}}\right)} - 2 \, {\left(d x + c\right)} \cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{2 \, d}"," ",0,"-1/2*(b*(((d*x + c)*b^3*e^a - 3*(d*x + c)^(2/3)*b^2*e^a + 6*(d*x + c)^(1/3)*b*e^a - 6*e^a)*e^((d*x + c)^(1/3)*b)/b^4 + ((d*x + c)*b^3 + 3*(d*x + c)^(2/3)*b^2 + 6*(d*x + c)^(1/3)*b + 6)*e^(-(d*x + c)^(1/3)*b - a)/b^4) - 2*(d*x + c)*cosh((d*x + c)^(1/3)*b + a))/d","A",0
67,0,0,0,0.000000," ","integrate(cosh(a+b*(d*x+c)^(1/3))/x,x, algorithm=""maxima"")","\int \frac{\cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{x}\,{d x}"," ",0,"integrate(cosh((d*x + c)^(1/3)*b + a)/x, x)","F",0
68,0,0,0,0.000000," ","integrate(cosh(a+b*(d*x+c)^(1/3))/x^2,x, algorithm=""maxima"")","\int \frac{\cosh\left({\left(d x + c\right)}^{\frac{1}{3}} b + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cosh((d*x + c)^(1/3)*b + a)/x^2, x)","F",0
