1,1,45,30,0.050000," ","int(x^3*cosh(b*x^2+a),x)","\frac{\left(b \,x^{2}-1\right) {\mathrm e}^{b \,x^{2}+a}}{4 b^{2}}-\frac{\left(b \,x^{2}+1\right) {\mathrm e}^{-b \,x^{2}-a}}{4 b^{2}}"," ",0,"1/4*(b*x^2-1)/b^2*exp(b*x^2+a)-1/4*(b*x^2+1)/b^2*exp(-b*x^2-a)","A"
2,1,74,49,0.093000," ","int(x^2*cosh(b*x^2+a),x)","-\frac{{\mathrm e}^{-a} x \,{\mathrm e}^{-b \,x^{2}}}{4 b}+\frac{{\mathrm e}^{-a} \sqrt{\pi}\, \erf \left(x \sqrt{b}\right)}{8 b^{\frac{3}{2}}}+\frac{{\mathrm e}^{a} {\mathrm e}^{b \,x^{2}} x}{4 b}-\frac{{\mathrm e}^{a} \sqrt{\pi}\, \erf \left(\sqrt{-b}\, x \right)}{8 b \sqrt{-b}}"," ",0,"-1/4*exp(-a)/b*x*exp(-b*x^2)+1/8*exp(-a)/b^(3/2)*Pi^(1/2)*erf(x*b^(1/2))+1/4*exp(a)*exp(b*x^2)*x/b-1/8*exp(a)/b*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)*x)","A"
3,1,14,13,0.041000," ","int(x*cosh(b*x^2+a),x)","\frac{\sinh \left(b \,x^{2}+a \right)}{2 b}"," ",0,"1/2*sinh(b*x^2+a)/b","A"
4,1,40,35,0.079000," ","int(cosh(b*x^2+a),x)","\frac{\erf \left(x \sqrt{b}\right) \sqrt{\pi}\, {\mathrm e}^{-a}}{4 \sqrt{b}}+\frac{{\mathrm e}^{a} \sqrt{\pi}\, \erf \left(\sqrt{-b}\, x \right)}{4 \sqrt{-b}}"," ",0,"1/4*erf(x*b^(1/2))*Pi^(1/2)*exp(-a)/b^(1/2)+1/4*exp(a)*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)*x)","A"
5,1,27,21,0.054000," ","int(cosh(b*x^2+a)/x,x)","-\frac{{\mathrm e}^{-a} \Ei \left(1, b \,x^{2}\right)}{4}-\frac{{\mathrm e}^{a} \Ei \left(1, -b \,x^{2}\right)}{4}"," ",0,"-1/4*exp(-a)*Ei(1,b*x^2)-1/4*exp(a)*Ei(1,-b*x^2)","A"
6,1,70,48,0.092000," ","int(cosh(b*x^2+a)/x^2,x)","-\frac{{\mathrm e}^{-a} {\mathrm e}^{-b \,x^{2}}}{2 x}-\frac{{\mathrm e}^{-a} \sqrt{b}\, \sqrt{\pi}\, \erf \left(x \sqrt{b}\right)}{2}-\frac{{\mathrm e}^{a} {\mathrm e}^{b \,x^{2}}}{2 x}+\frac{{\mathrm e}^{a} b \sqrt{\pi}\, \erf \left(\sqrt{-b}\, x \right)}{2 \sqrt{-b}}"," ",0,"-1/2*exp(-a)/x*exp(-b*x^2)-1/2*exp(-a)*b^(1/2)*Pi^(1/2)*erf(x*b^(1/2))-1/2*exp(a)*exp(b*x^2)/x+1/2*exp(a)*b*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)*x)","A"
7,1,58,36,0.063000," ","int(cosh(b*x^2+a)/x^3,x)","-\frac{{\mathrm e}^{-a} {\mathrm e}^{-b \,x^{2}}}{4 x^{2}}+\frac{{\mathrm e}^{-a} b \Ei \left(1, b \,x^{2}\right)}{4}-\frac{{\mathrm e}^{a} {\mathrm e}^{b \,x^{2}}}{4 x^{2}}-\frac{{\mathrm e}^{a} b \Ei \left(1, -b \,x^{2}\right)}{4}"," ",0,"-1/4*exp(-a)/x^2*exp(-b*x^2)+1/4*exp(-a)*b*Ei(1,b*x^2)-1/4*exp(a)*exp(b*x^2)/x^2-1/4*exp(a)*b*Ei(1,-b*x^2)","A"
8,1,55,45,0.159000," ","int(x^3*cosh(b*x^2+a)^2,x)","\frac{x^{4}}{8}+\frac{\left(2 b \,x^{2}-1\right) {\mathrm e}^{2 b \,x^{2}+2 a}}{32 b^{2}}-\frac{\left(2 b \,x^{2}+1\right) {\mathrm e}^{-2 b \,x^{2}-2 a}}{32 b^{2}}"," ",0,"1/8*x^4+1/32*(2*b*x^2-1)/b^2*exp(2*b*x^2+2*a)-1/32*(2*b*x^2+1)/b^2*exp(-2*b*x^2-2*a)","A"
9,1,90,73,0.183000," ","int(x^2*cosh(b*x^2+a)^2,x)","\frac{x^{3}}{6}-\frac{{\mathrm e}^{-2 a} x \,{\mathrm e}^{-2 b \,x^{2}}}{16 b}+\frac{{\mathrm e}^{-2 a} \sqrt{\pi}\, \sqrt{2}\, \erf \left(x \sqrt{2}\, \sqrt{b}\right)}{64 b^{\frac{3}{2}}}+\frac{{\mathrm e}^{2 a} x \,{\mathrm e}^{2 b \,x^{2}}}{16 b}-\frac{{\mathrm e}^{2 a} \sqrt{\pi}\, \erf \left(\sqrt{-2 b}\, x \right)}{32 b \sqrt{-2 b}}"," ",0,"1/6*x^3-1/16*exp(-2*a)/b*x*exp(-2*b*x^2)+1/64*exp(-2*a)/b^(3/2)*Pi^(1/2)*2^(1/2)*erf(x*2^(1/2)*b^(1/2))+1/16*exp(2*a)/b*x*exp(2*b*x^2)-1/32*exp(2*a)/b*Pi^(1/2)/(-2*b)^(1/2)*erf((-2*b)^(1/2)*x)","A"
10,1,34,27,0.055000," ","int(x*cosh(b*x^2+a)^2,x)","\frac{\frac{\cosh \left(b \,x^{2}+a \right) \sinh \left(b \,x^{2}+a \right)}{2}+\frac{b \,x^{2}}{2}+\frac{a}{2}}{2 b}"," ",0,"1/2/b*(1/2*cosh(b*x^2+a)*sinh(b*x^2+a)+1/2*b*x^2+1/2*a)","A"
11,1,51,54,0.163000," ","int(cosh(b*x^2+a)^2,x)","\frac{x}{2}+\frac{{\mathrm e}^{-2 a} \sqrt{\pi}\, \sqrt{2}\, \erf \left(x \sqrt{2}\, \sqrt{b}\right)}{16 \sqrt{b}}+\frac{{\mathrm e}^{2 a} \sqrt{\pi}\, \erf \left(\sqrt{-2 b}\, x \right)}{8 \sqrt{-2 b}}"," ",0,"1/2*x+1/16*exp(-2*a)*Pi^(1/2)*2^(1/2)/b^(1/2)*erf(x*2^(1/2)*b^(1/2))+1/8*exp(2*a)*Pi^(1/2)/(-2*b)^(1/2)*erf((-2*b)^(1/2)*x)","A"
12,1,34,31,0.137000," ","int(cosh(b*x^2+a)^2/x,x)","\frac{\ln \left(x \right)}{2}-\frac{{\mathrm e}^{-2 a} \Ei \left(1, 2 b \,x^{2}\right)}{8}-\frac{{\mathrm e}^{2 a} \Ei \left(1, -2 b \,x^{2}\right)}{8}"," ",0,"1/2*ln(x)-1/8*exp(-2*a)*Ei(1,2*b*x^2)-1/8*exp(2*a)*Ei(1,-2*b*x^2)","A"
13,1,86,66,0.172000," ","int(cosh(b*x^2+a)^2/x^2,x)","-\frac{1}{2 x}-\frac{{\mathrm e}^{-2 a} {\mathrm e}^{-2 b \,x^{2}}}{4 x}-\frac{{\mathrm e}^{-2 a} \sqrt{b}\, \sqrt{\pi}\, \sqrt{2}\, \erf \left(x \sqrt{2}\, \sqrt{b}\right)}{4}-\frac{{\mathrm e}^{2 a} {\mathrm e}^{2 b \,x^{2}}}{4 x}+\frac{{\mathrm e}^{2 a} b \sqrt{\pi}\, \erf \left(\sqrt{-2 b}\, x \right)}{2 \sqrt{-2 b}}"," ",0,"-1/2/x-1/4*exp(-2*a)/x*exp(-2*b*x^2)-1/4*exp(-2*a)*b^(1/2)*Pi^(1/2)*2^(1/2)*erf(x*2^(1/2)*b^(1/2))-1/4*exp(2*a)/x*exp(2*b*x^2)+1/2*exp(2*a)*b*Pi^(1/2)/(-2*b)^(1/2)*erf((-2*b)^(1/2)*x)","A"
14,1,69,50,0.147000," ","int(cosh(b*x^2+a)^2/x^3,x)","-\frac{1}{4 x^{2}}-\frac{{\mathrm e}^{-2 a} {\mathrm e}^{-2 b \,x^{2}}}{8 x^{2}}+\frac{{\mathrm e}^{-2 a} b \Ei \left(1, 2 b \,x^{2}\right)}{4}-\frac{{\mathrm e}^{2 a} {\mathrm e}^{2 b \,x^{2}}}{8 x^{2}}-\frac{{\mathrm e}^{2 a} b \Ei \left(1, -2 b \,x^{2}\right)}{4}"," ",0,"-1/4/x^2-1/8*exp(-2*a)/x^2*exp(-2*b*x^2)+1/4*exp(-2*a)*b*Ei(1,2*b*x^2)-1/8*exp(2*a)/x^2*exp(2*b*x^2)-1/4*exp(2*a)*b*Ei(1,-2*b*x^2)","A"
15,1,93,71,0.227000," ","int(x^3*cosh(b*x^2+a)^3,x)","\frac{\left(3 b \,x^{2}-1\right) {\mathrm e}^{3 b \,x^{2}+3 a}}{144 b^{2}}+\frac{3 \left(b \,x^{2}-1\right) {\mathrm e}^{b \,x^{2}+a}}{16 b^{2}}-\frac{3 \left(b \,x^{2}+1\right) {\mathrm e}^{-b \,x^{2}-a}}{16 b^{2}}-\frac{\left(3 b \,x^{2}+1\right) {\mathrm e}^{-3 b \,x^{2}-3 a}}{144 b^{2}}"," ",0,"1/144*(3*b*x^2-1)/b^2*exp(3*b*x^2+3*a)+3/16*(b*x^2-1)/b^2*exp(b*x^2+a)-3/16*(b*x^2+1)/b^2*exp(-b*x^2-a)-1/144*(3*b*x^2+1)/b^2*exp(-3*b*x^2-3*a)","A"
16,1,157,116,0.264000," ","int(x^2*cosh(b*x^2+a)^3,x)","-\frac{{\mathrm e}^{-3 a} x \,{\mathrm e}^{-3 b \,x^{2}}}{48 b}+\frac{{\mathrm e}^{-3 a} \sqrt{\pi}\, \sqrt{3}\, \erf \left(x \sqrt{3}\, \sqrt{b}\right)}{288 b^{\frac{3}{2}}}-\frac{3 \,{\mathrm e}^{-a} x \,{\mathrm e}^{-b \,x^{2}}}{16 b}+\frac{3 \,{\mathrm e}^{-a} \sqrt{\pi}\, \erf \left(x \sqrt{b}\right)}{32 b^{\frac{3}{2}}}+\frac{3 \,{\mathrm e}^{a} {\mathrm e}^{b \,x^{2}} x}{16 b}-\frac{3 \,{\mathrm e}^{a} \sqrt{\pi}\, \erf \left(\sqrt{-b}\, x \right)}{32 b \sqrt{-b}}+\frac{{\mathrm e}^{3 a} x \,{\mathrm e}^{3 b \,x^{2}}}{48 b}-\frac{{\mathrm e}^{3 a} \sqrt{\pi}\, \erf \left(\sqrt{-3 b}\, x \right)}{96 b \sqrt{-3 b}}"," ",0,"-1/48*exp(-3*a)/b*x*exp(-3*b*x^2)+1/288*exp(-3*a)/b^(3/2)*Pi^(1/2)*3^(1/2)*erf(x*3^(1/2)*b^(1/2))-3/16*exp(-a)/b*x*exp(-b*x^2)+3/32*exp(-a)/b^(3/2)*Pi^(1/2)*erf(x*b^(1/2))+3/16*exp(a)*exp(b*x^2)*x/b-3/32*exp(a)/b*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)*x)+1/48*exp(3*a)/b*x*exp(3*b*x^2)-1/96*exp(3*a)/b*Pi^(1/2)/(-3*b)^(1/2)*erf((-3*b)^(1/2)*x)","A"
17,1,28,29,0.162000," ","int(x*cosh(b*x^2+a)^3,x)","\frac{\left(\frac{2}{3}+\frac{\left(\cosh^{2}\left(b \,x^{2}+a \right)\right)}{3}\right) \sinh \left(b \,x^{2}+a \right)}{2 b}"," ",0,"1/2/b*(2/3+1/3*cosh(b*x^2+a)^2)*sinh(b*x^2+a)","A"
18,1,86,85,0.182000," ","int(cosh(b*x^2+a)^3,x)","\frac{{\mathrm e}^{-3 a} \sqrt{\pi}\, \sqrt{3}\, \erf \left(x \sqrt{3}\, \sqrt{b}\right)}{48 \sqrt{b}}+\frac{3 \erf \left(x \sqrt{b}\right) \sqrt{\pi}\, {\mathrm e}^{-a}}{16 \sqrt{b}}+\frac{{\mathrm e}^{3 a} \sqrt{\pi}\, \erf \left(\sqrt{-3 b}\, x \right)}{16 \sqrt{-3 b}}+\frac{3 \,{\mathrm e}^{a} \sqrt{\pi}\, \erf \left(\sqrt{-b}\, x \right)}{16 \sqrt{-b}}"," ",0,"1/48*exp(-3*a)*Pi^(1/2)*3^(1/2)/b^(1/2)*erf(x*3^(1/2)*b^(1/2))+3/16*erf(x*b^(1/2))*Pi^(1/2)*exp(-a)/b^(1/2)+1/16*exp(3*a)*Pi^(1/2)/(-3*b)^(1/2)*erf((-3*b)^(1/2)*x)+3/16*exp(a)*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)*x)","A"
19,1,55,47,0.187000," ","int(cosh(b*x^2+a)^3/x,x)","-\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b \,x^{2}\right)}{16}-\frac{3 \,{\mathrm e}^{-a} \Ei \left(1, b \,x^{2}\right)}{16}-\frac{3 \,{\mathrm e}^{a} \Ei \left(1, -b \,x^{2}\right)}{16}-\frac{{\mathrm e}^{3 a} \Ei \left(1, -3 b \,x^{2}\right)}{16}"," ",0,"-1/16*exp(-3*a)*Ei(1,3*b*x^2)-3/16*exp(-a)*Ei(1,b*x^2)-3/16*exp(a)*Ei(1,-b*x^2)-1/16*exp(3*a)*Ei(1,-3*b*x^2)","A"
20,1,149,100,0.250000," ","int(cosh(b*x^2+a)^3/x^2,x)","-\frac{{\mathrm e}^{-3 a} {\mathrm e}^{-3 b \,x^{2}}}{8 x}-\frac{{\mathrm e}^{-3 a} \sqrt{b}\, \sqrt{\pi}\, \sqrt{3}\, \erf \left(x \sqrt{3}\, \sqrt{b}\right)}{8}-\frac{3 \,{\mathrm e}^{-a} {\mathrm e}^{-b \,x^{2}}}{8 x}-\frac{3 \,{\mathrm e}^{-a} \sqrt{b}\, \sqrt{\pi}\, \erf \left(x \sqrt{b}\right)}{8}-\frac{3 \,{\mathrm e}^{a} {\mathrm e}^{b \,x^{2}}}{8 x}+\frac{3 \,{\mathrm e}^{a} b \sqrt{\pi}\, \erf \left(\sqrt{-b}\, x \right)}{8 \sqrt{-b}}-\frac{{\mathrm e}^{3 a} {\mathrm e}^{3 b \,x^{2}}}{8 x}+\frac{3 \,{\mathrm e}^{3 a} b \sqrt{\pi}\, \erf \left(\sqrt{-3 b}\, x \right)}{8 \sqrt{-3 b}}"," ",0,"-1/8*exp(-3*a)/x*exp(-3*b*x^2)-1/8*exp(-3*a)*b^(1/2)*Pi^(1/2)*3^(1/2)*erf(x*3^(1/2)*b^(1/2))-3/8*exp(-a)/x*exp(-b*x^2)-3/8*exp(-a)*b^(1/2)*Pi^(1/2)*erf(x*b^(1/2))-3/8*exp(a)*exp(b*x^2)/x+3/8*exp(a)*b*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)*x)-1/8*exp(3*a)/x*exp(3*b*x^2)+3/8*exp(3*a)*b*Pi^(1/2)/(-3*b)^(1/2)*erf((-3*b)^(1/2)*x)","A"
21,1,120,80,0.214000," ","int(cosh(b*x^2+a)^3/x^3,x)","-\frac{{\mathrm e}^{-3 a} {\mathrm e}^{-3 b \,x^{2}}}{16 x^{2}}+\frac{3 \,{\mathrm e}^{-3 a} b \Ei \left(1, 3 b \,x^{2}\right)}{16}-\frac{3 \,{\mathrm e}^{-a} {\mathrm e}^{-b \,x^{2}}}{16 x^{2}}+\frac{3 \,{\mathrm e}^{-a} b \Ei \left(1, b \,x^{2}\right)}{16}-\frac{3 \,{\mathrm e}^{a} {\mathrm e}^{b \,x^{2}}}{16 x^{2}}-\frac{3 \,{\mathrm e}^{a} b \Ei \left(1, -b \,x^{2}\right)}{16}-\frac{{\mathrm e}^{3 a} {\mathrm e}^{3 b \,x^{2}}}{16 x^{2}}-\frac{3 \,{\mathrm e}^{3 a} b \Ei \left(1, -3 b \,x^{2}\right)}{16}"," ",0,"-1/16*exp(-3*a)/x^2*exp(-3*b*x^2)+3/16*exp(-3*a)*b*Ei(1,3*b*x^2)-3/16*exp(-a)/x^2*exp(-b*x^2)+3/16*exp(-a)*b*Ei(1,b*x^2)-3/16*exp(a)*exp(b*x^2)/x^2-3/16*exp(a)*b*Ei(1,-b*x^2)-1/16*exp(3*a)/x^2*exp(3*b*x^2)-3/16*exp(3*a)*b*Ei(1,-3*b*x^2)","A"
22,1,52,59,0.169000," ","int(x*cosh(b*x^2+a)^7,x)","\frac{\left(\frac{16}{35}+\frac{\left(\cosh^{6}\left(b \,x^{2}+a \right)\right)}{7}+\frac{6 \left(\cosh^{4}\left(b \,x^{2}+a \right)\right)}{35}+\frac{8 \left(\cosh^{2}\left(b \,x^{2}+a \right)\right)}{35}\right) \sinh \left(b \,x^{2}+a \right)}{2 b}"," ",0,"1/2/b*(16/35+1/7*cosh(b*x^2+a)^6+6/35*cosh(b*x^2+a)^4+8/35*cosh(b*x^2+a)^2)*sinh(b*x^2+a)","A"
23,1,7,6,0.040000," ","int(x^2*cosh(x^3),x)","\frac{\sinh \left(x^{3}\right)}{3}"," ",0,"1/3*sinh(x^3)","A"
24,1,7,6,0.037000," ","int(cosh(1/x^5)/x^6,x)","-\frac{\sinh \left(\frac{1}{x^{5}}\right)}{5}"," ",0,"-1/5*sinh(1/x^5)","A"
25,1,56,33,0.112000," ","int(cosh(a+b/x),x)","-\frac{b \,{\mathrm e}^{-a} \Ei \left(1, \frac{b}{x}\right)}{2}+\frac{{\mathrm e}^{-\frac{a x +b}{x}} x}{2}+\frac{b \,{\mathrm e}^{a} \Ei \left(1, -\frac{b}{x}\right)}{2}+\frac{{\mathrm e}^{\frac{a x +b}{x}} x}{2}"," ",0,"-1/2*b*exp(-a)*Ei(1,b/x)+1/2*exp(-(a*x+b)/x)*x+1/2*b*exp(a)*Ei(1,-b/x)+1/2*exp((a*x+b)/x)*x","A"
26,1,27,21,0.104000," ","int(cosh(a+b/x)/x,x)","\frac{{\mathrm e}^{-a} \Ei \left(1, \frac{b}{x}\right)}{2}+\frac{{\mathrm e}^{a} \Ei \left(1, -\frac{b}{x}\right)}{2}"," ",0,"1/2*exp(-a)*Ei(1,b/x)+1/2*exp(a)*Ei(1,-b/x)","A"
27,1,14,13,0.045000," ","int(cosh(a+b/x)/x^2,x)","-\frac{\sinh \left(a +\frac{b}{x}\right)}{b}"," ",0,"-sinh(a+b/x)/b","A"
28,1,44,29,0.077000," ","int(cosh(a+b/x)/x^3,x)","-\frac{\left(a +\frac{b}{x}\right) \sinh \left(a +\frac{b}{x}\right)-\cosh \left(a +\frac{b}{x}\right)-a \sinh \left(a +\frac{b}{x}\right)}{b^{2}}"," ",0,"-1/b^2*((a+b/x)*sinh(a+b/x)-cosh(a+b/x)-a*sinh(a+b/x))","A"
29,1,94,46,0.082000," ","int(cosh(a+b/x)/x^4,x)","-\frac{\left(a +\frac{b}{x}\right)^{2} \sinh \left(a +\frac{b}{x}\right)-2 \cosh \left(a +\frac{b}{x}\right) \left(a +\frac{b}{x}\right)+2 \sinh \left(a +\frac{b}{x}\right)-2 a \left(\left(a +\frac{b}{x}\right) \sinh \left(a +\frac{b}{x}\right)-\cosh \left(a +\frac{b}{x}\right)\right)+a^{2} \sinh \left(a +\frac{b}{x}\right)}{b^{3}}"," ",0,"-1/b^3*((a+b/x)^2*sinh(a+b/x)-2*cosh(a+b/x)*(a+b/x)+2*sinh(a+b/x)-2*a*((a+b/x)*sinh(a+b/x)-cosh(a+b/x))+a^2*sinh(a+b/x))","B"
30,1,70,49,0.134000," ","int(cosh(a+b/x^2),x)","\frac{\sqrt{b}\, {\mathrm e}^{-a} \sqrt{\pi}\, \erf \left(\frac{\sqrt{b}}{x}\right)}{2}+\frac{{\mathrm e}^{-a} {\mathrm e}^{-\frac{b}{x^{2}}} x}{2}+\frac{{\mathrm e}^{a} {\mathrm e}^{\frac{b}{x^{2}}} x}{2}-\frac{{\mathrm e}^{a} b \sqrt{\pi}\, \erf \left(\frac{\sqrt{-b}}{x}\right)}{2 \sqrt{-b}}"," ",0,"1/2*b^(1/2)*exp(-a)*Pi^(1/2)*erf(b^(1/2)/x)+1/2*exp(-a)*exp(-b/x^2)*x+1/2*exp(a)*exp(b/x^2)*x-1/2*exp(a)*b*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)/x)","A"
31,1,27,21,0.102000," ","int(cosh(a+b/x^2)/x,x)","\frac{{\mathrm e}^{-a} \Ei \left(1, \frac{b}{x^{2}}\right)}{4}+\frac{{\mathrm e}^{a} \Ei \left(1, -\frac{b}{x^{2}}\right)}{4}"," ",0,"1/4*exp(-a)*Ei(1,b/x^2)+1/4*exp(a)*Ei(1,-b/x^2)","A"
32,1,44,39,0.127000," ","int(cosh(a+b/x^2)/x^2,x)","-\frac{\erf \left(\frac{\sqrt{b}}{x}\right) \sqrt{\pi}\, {\mathrm e}^{-a}}{4 \sqrt{b}}-\frac{{\mathrm e}^{a} \sqrt{\pi}\, \erf \left(\frac{\sqrt{-b}}{x}\right)}{4 \sqrt{-b}}"," ",0,"-1/4*erf(b^(1/2)/x)*Pi^(1/2)*exp(-a)/b^(1/2)-1/4*exp(a)*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)/x)","A"
33,1,14,13,0.041000," ","int(cosh(a+b/x^2)/x^3,x)","-\frac{\sinh \left(a +\frac{b}{x^{2}}\right)}{2 b}"," ",0,"-1/2*sinh(a+b/x^2)/b","A"
34,1,82,55,0.129000," ","int(cosh(a+b/x^2)/x^4,x)","\frac{{\mathrm e}^{-a} {\mathrm e}^{-\frac{b}{x^{2}}}}{4 b x}-\frac{{\mathrm e}^{-a} \sqrt{\pi}\, \erf \left(\frac{\sqrt{b}}{x}\right)}{8 b^{\frac{3}{2}}}-\frac{{\mathrm e}^{a} {\mathrm e}^{\frac{b}{x^{2}}}}{4 x b}+\frac{{\mathrm e}^{a} \sqrt{\pi}\, \erf \left(\frac{\sqrt{-b}}{x}\right)}{8 b \sqrt{-b}}"," ",0,"1/4*exp(-a)/b/x*exp(-b/x^2)-1/8*exp(-a)/b^(3/2)*Pi^(1/2)*erf(b^(1/2)/x)-1/4*exp(a)*exp(b/x^2)/x/b+1/8*exp(a)/b*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)/x)","A"
35,1,74,61,0.123000," ","int(cosh(a+b*x^n),x)","x \hypergeom \left(\left[\frac{1}{2 n}\right], \left[\frac{1}{2}, 1+\frac{1}{2 n}\right], \frac{x^{2 n} b^{2}}{4}\right) \cosh \left(a \right)+\frac{x^{n +1} b \hypergeom \left(\left[\frac{1}{2}+\frac{1}{2 n}\right], \left[\frac{3}{2}, \frac{3}{2}+\frac{1}{2 n}\right], \frac{x^{2 n} b^{2}}{4}\right) \sinh \left(a \right)}{n +1}"," ",0,"x*hypergeom([1/2/n],[1/2,1+1/2/n],1/4*x^(2*n)*b^2)*cosh(a)+1/(n+1)*x^(n+1)*b*hypergeom([1/2+1/2/n],[3/2,3/2+1/2/n],1/4*x^(2*n)*b^2)*sinh(a)","C"
36,1,33,25,0.094000," ","int(cosh(a+b*x^n)/x,x)","-\frac{{\mathrm e}^{-a} \Ei \left(1, b \,x^{n}\right)}{2 n}-\frac{{\mathrm e}^{a} \Ei \left(1, -b \,x^{n}\right)}{2 n}"," ",0,"-1/2/n*exp(-a)*Ei(1,b*x^n)-1/2/n*exp(a)*Ei(1,-b*x^n)","A"
37,0,0,87,0.256000," ","int(cosh(a+b*x^n)^2,x)","\int \cosh^{2}\left(a +b \,x^{n}\right)\, dx"," ",0,"int(cosh(a+b*x^n)^2,x)","F"
38,1,40,37,0.294000," ","int(cosh(a+b*x^n)^2/x,x)","\frac{\ln \left(x \right)}{2}-\frac{{\mathrm e}^{-2 a} \Ei \left(1, 2 b \,x^{n}\right)}{4 n}-\frac{{\mathrm e}^{2 a} \Ei \left(1, -2 b \,x^{n}\right)}{4 n}"," ",0,"1/2*ln(x)-1/4/n*exp(-2*a)*Ei(1,2*b*x^n)-1/4/n*exp(2*a)*Ei(1,-2*b*x^n)","A"
39,0,0,140,0.261000," ","int(cosh(a+b*x^n)^3,x)","\int \cosh^{3}\left(a +b \,x^{n}\right)\, dx"," ",0,"int(cosh(a+b*x^n)^3,x)","F"
40,1,67,59,0.414000," ","int(cosh(a+b*x^n)^3/x,x)","-\frac{{\mathrm e}^{-3 a} \Ei \left(1, 3 b \,x^{n}\right)}{8 n}-\frac{3 \,{\mathrm e}^{-a} \Ei \left(1, b \,x^{n}\right)}{8 n}-\frac{3 \,{\mathrm e}^{a} \Ei \left(1, -b \,x^{n}\right)}{8 n}-\frac{{\mathrm e}^{3 a} \Ei \left(1, -3 b \,x^{n}\right)}{8 n}"," ",0,"-1/8/n*exp(-3*a)*Ei(1,3*b*x^n)-3/8/n*exp(-a)*Ei(1,b*x^n)-3/8/n*exp(a)*Ei(1,-b*x^n)-1/8/n*exp(3*a)*Ei(1,-3*b*x^n)","A"
41,0,0,20,0.983000," ","int((e*x)^m*(b*cosh(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(b \cosh \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(b*cosh(c+d*x^n))^p,x)","F"
42,0,0,22,0.975000," ","int((e*x)^m*(a+b*cosh(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(a +b \cosh \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*cosh(c+d*x^n))^p,x)","F"
43,0,0,89,1.182000," ","int((e*x)^(-1+n)*(b*cosh(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+n} \left(b \cosh \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+n)*(b*cosh(c+d*x^n))^p,x)","F"
44,0,0,40,1.106000," ","int((e*x)^(-1+2*n)*(b*cosh(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+2 n} \left(b \cosh \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+2*n)*(b*cosh(c+d*x^n))^p,x)","F"
45,0,0,117,1.244000," ","int((e*x)^(-1+n)*(a+b*cosh(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+n} \left(a +b \cosh \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+n)*(a+b*cosh(c+d*x^n))^p,x)","F"
46,0,0,42,1.072000," ","int((e*x)^(-1+2*n)*(a+b*cosh(c+d*x^n))^p,x)","\int \left(e x \right)^{-1+2 n} \left(a +b \cosh \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^(-1+2*n)*(a+b*cosh(c+d*x^n))^p,x)","F"
47,1,110,85,0.185000," ","int(x^m*cosh(a+b*x^n),x)","\frac{x^{1+m} \hypergeom \left(\left[\frac{m}{2 n}+\frac{1}{2 n}\right], \left[\frac{1}{2}, 1+\frac{m}{2 n}+\frac{1}{2 n}\right], \frac{x^{2 n} b^{2}}{4}\right) \cosh \left(a \right)}{1+m}+\frac{x^{m +n +1} b \hypergeom \left(\left[\frac{1}{2}+\frac{m}{2 n}+\frac{1}{2 n}\right], \left[\frac{3}{2}, \frac{3}{2}+\frac{m}{2 n}+\frac{1}{2 n}\right], \frac{x^{2 n} b^{2}}{4}\right) \sinh \left(a \right)}{m +n +1}"," ",0,"1/(1+m)*x^(1+m)*hypergeom([1/2/n*m+1/2/n],[1/2,1+1/2/n*m+1/2/n],1/4*x^(2*n)*b^2)*cosh(a)+1/(m+n+1)*x^(m+n+1)*b*hypergeom([1/2+1/2/n*m+1/2/n],[3/2,3/2+1/2/n*m+1/2/n],1/4*x^(2*n)*b^2)*sinh(a)","C"
48,0,0,130,0.283000," ","int(x^m*cosh(a+b*x^n)^2,x)","\int x^{m} \left(\cosh^{2}\left(a +b \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*cosh(a+b*x^n)^2,x)","F"
49,0,0,196,0.342000," ","int(x^m*cosh(a+b*x^n)^3,x)","\int x^{m} \left(\cosh^{3}\left(a +b \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*cosh(a+b*x^n)^3,x)","F"
50,1,74,45,0.135000," ","int(x^(-1-n)*cosh(a+b*x^n),x)","-\frac{{\mathrm e}^{-a -b \,x^{n}} x^{-n}}{2 n}+\frac{b \,{\mathrm e}^{-a} \Ei \left(1, b \,x^{n}\right)}{2 n}-\frac{{\mathrm e}^{a +b \,x^{n}} x^{-n}}{2 n}-\frac{b \,{\mathrm e}^{a} \Ei \left(1, -b \,x^{n}\right)}{2 n}"," ",0,"-1/2/n*exp(-a-b*x^n)/(x^n)+1/2/n*b*exp(-a)*Ei(1,b*x^n)-1/2*exp(a+b*x^n)/(x^n)/n-1/2/n*b*exp(a)*Ei(1,-b*x^n)","A"
51,1,90,64,0.250000," ","int(x^(-1-n)*cosh(a+b*x^n)^2,x)","-\frac{x^{-n}}{2 n}-\frac{{\mathrm e}^{-2 a -2 b \,x^{n}} x^{-n}}{4 n}+\frac{b \,{\mathrm e}^{-2 a} \Ei \left(1, 2 b \,x^{n}\right)}{2 n}-\frac{x^{-n} {\mathrm e}^{2 a +2 b \,x^{n}}}{4 n}-\frac{b \,{\mathrm e}^{2 a} \Ei \left(1, -2 b \,x^{n}\right)}{2 n}"," ",0,"-1/2/n/(x^n)-1/4/n*exp(-2*a-2*b*x^n)/(x^n)+1/2/n*b*exp(-2*a)*Ei(1,2*b*x^n)-1/4/(x^n)*exp(2*a+2*b*x^n)/n-1/2/n*b*exp(2*a)*Ei(1,-2*b*x^n)","A"
52,1,152,102,0.411000," ","int(x^(-1-n)*cosh(a+b*x^n)^3,x)","-\frac{{\mathrm e}^{-3 a -3 b \,x^{n}} x^{-n}}{8 n}+\frac{3 b \,{\mathrm e}^{-3 a} \Ei \left(1, 3 b \,x^{n}\right)}{8 n}-\frac{3 \,{\mathrm e}^{-a -b \,x^{n}} x^{-n}}{8 n}+\frac{3 b \,{\mathrm e}^{-a} \Ei \left(1, b \,x^{n}\right)}{8 n}-\frac{3 \,{\mathrm e}^{a +b \,x^{n}} x^{-n}}{8 n}-\frac{3 b \,{\mathrm e}^{a} \Ei \left(1, -b \,x^{n}\right)}{8 n}-\frac{x^{-n} {\mathrm e}^{3 a +3 b \,x^{n}}}{8 n}-\frac{3 b \,{\mathrm e}^{3 a} \Ei \left(1, -3 b \,x^{n}\right)}{8 n}"," ",0,"-1/8/n*exp(-3*a-3*b*x^n)/(x^n)+3/8/n*b*exp(-3*a)*Ei(1,3*b*x^n)-3/8/n*exp(-a-b*x^n)/(x^n)+3/8/n*b*exp(-a)*Ei(1,b*x^n)-3/8*exp(a+b*x^n)/(x^n)/n-3/8/n*b*exp(a)*Ei(1,-b*x^n)-1/8/(x^n)*exp(3*a+3*b*x^n)/n-3/8/n*b*exp(3*a)*Ei(1,-3*b*x^n)","A"
53,1,54,49,0.114000," ","int(x^(-1+1/2*n)*cosh(a+b*x^n),x)","\frac{{\mathrm e}^{-a} \sqrt{\pi}\, \erf \left(x^{\frac{n}{2}} \sqrt{b}\right)}{2 n \sqrt{b}}+\frac{{\mathrm e}^{a} \sqrt{\pi}\, \erf \left(\sqrt{-b}\, x^{\frac{n}{2}}\right)}{2 n \sqrt{-b}}"," ",0,"1/2/n*exp(-a)*Pi^(1/2)/b^(1/2)*erf(x^(1/2*n)*b^(1/2))+1/2/n*exp(a)*Pi^(1/2)/(-b)^(1/2)*erf((-b)^(1/2)*x^(1/2*n))","A"
54,1,136,95,0.133000," ","int(x^2*cosh((b*x+a)^2),x)","-\frac{x \,{\mathrm e}^{-\left(b x +a \right)^{2}}}{4 b^{2}}+\frac{a \,{\mathrm e}^{-\left(b x +a \right)^{2}}}{4 b^{3}}+\frac{a^{2} \erf \left(b x +a \right) \sqrt{\pi}}{4 b^{3}}+\frac{\erf \left(b x +a \right) \sqrt{\pi}}{8 b^{3}}+\frac{x \,{\mathrm e}^{\left(b x +a \right)^{2}}}{4 b^{2}}-\frac{a \,{\mathrm e}^{\left(b x +a \right)^{2}}}{4 b^{3}}-\frac{i a^{2} \sqrt{\pi}\, \erf \left(i b x +i a \right)}{4 b^{3}}+\frac{i \sqrt{\pi}\, \erf \left(i b x +i a \right)}{8 b^{3}}"," ",0,"-1/4/b^2*x*exp(-(b*x+a)^2)+1/4*a/b^3*exp(-(b*x+a)^2)+1/4*a^2*erf(b*x+a)*Pi^(1/2)/b^3+1/8*erf(b*x+a)*Pi^(1/2)/b^3+1/4/b^2*x*exp((b*x+a)^2)-1/4*a/b^3*exp((b*x+a)^2)-1/4*I*a^2/b^3*Pi^(1/2)*erf(I*b*x+I*a)+1/8*I/b^3*Pi^(1/2)*erf(I*b*x+I*a)","C"
55,1,66,44,0.125000," ","int(x*cosh((b*x+a)^2),x)","-\frac{{\mathrm e}^{-\left(b x +a \right)^{2}}}{4 b^{2}}-\frac{a \erf \left(b x +a \right) \sqrt{\pi}}{4 b^{2}}+\frac{{\mathrm e}^{\left(b x +a \right)^{2}}}{4 b^{2}}+\frac{i a \sqrt{\pi}\, \erf \left(i b x +i a \right)}{4 b^{2}}"," ",0,"-1/4/b^2*exp(-(b*x+a)^2)-1/4*a*erf(b*x+a)*Pi^(1/2)/b^2+1/4/b^2*exp((b*x+a)^2)+1/4*I*a/b^2*Pi^(1/2)*erf(I*b*x+I*a)","C"
56,1,36,29,0.115000," ","int(cosh((b*x+a)^2),x)","\frac{\erf \left(b x +a \right) \sqrt{\pi}}{4 b}-\frac{i \sqrt{\pi}\, \erf \left(i b x +i a \right)}{4 b}"," ",0,"1/4*erf(b*x+a)*Pi^(1/2)/b-1/4*I*Pi^(1/2)/b*erf(I*b*x+I*a)","C"
57,0,0,19,0.140000," ","int(cosh((b*x+a)^2)/x,x)","\int \frac{\cosh \left(\left(b x +a \right)^{2}\right)}{x}\, dx"," ",0,"int(cosh((b*x+a)^2)/x,x)","F"
58,0,0,14,0.165000," ","int(cosh((b*x+a)^2)/x^2,x)","\int \frac{\cosh \left(\left(b x +a \right)^{2}\right)}{x^{2}}\, dx"," ",0,"int(cosh((b*x+a)^2)/x^2,x)","F"
59,1,831,310,0.095000," ","int(x^2*cosh(a+b*(d*x+c)^(1/2)),x)","\frac{\frac{2 \left(\left(a +b \sqrt{d x +c}\right)^{5} \sinh \left(a +b \sqrt{d x +c}\right)-5 \left(a +b \sqrt{d x +c}\right)^{4} \cosh \left(a +b \sqrt{d x +c}\right)+20 \left(a +b \sqrt{d x +c}\right)^{3} \sinh \left(a +b \sqrt{d x +c}\right)-60 \left(a +b \sqrt{d x +c}\right)^{2} \cosh \left(a +b \sqrt{d x +c}\right)+120 \sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-120 \cosh \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{10 a \left(\left(a +b \sqrt{d x +c}\right)^{4} \sinh \left(a +b \sqrt{d x +c}\right)-4 \left(a +b \sqrt{d x +c}\right)^{3} \cosh \left(a +b \sqrt{d x +c}\right)+12 \sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)^{2}-24 \left(a +b \sqrt{d x +c}\right) \cosh \left(a +b \sqrt{d x +c}\right)+24 \sinh \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}+\frac{20 a^{2} \left(\left(a +b \sqrt{d x +c}\right)^{3} \sinh \left(a +b \sqrt{d x +c}\right)-3 \left(a +b \sqrt{d x +c}\right)^{2} \cosh \left(a +b \sqrt{d x +c}\right)+6 \sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-6 \cosh \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{20 a^{3} \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)^{2}-2 \left(a +b \sqrt{d x +c}\right) \cosh \left(a +b \sqrt{d x +c}\right)+2 \sinh \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{4 c \left(\left(a +b \sqrt{d x +c}\right)^{3} \sinh \left(a +b \sqrt{d x +c}\right)-3 \left(a +b \sqrt{d x +c}\right)^{2} \cosh \left(a +b \sqrt{d x +c}\right)+6 \sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-6 \cosh \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{12 c a \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)^{2}-2 \left(a +b \sqrt{d x +c}\right) \cosh \left(a +b \sqrt{d x +c}\right)+2 \sinh \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{10 a^{4} \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-\cosh \left(a +b \sqrt{d x +c}\right)\right)}{b^{4}}-\frac{12 a^{2} c \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-\cosh \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{2 a^{5} \sinh \left(a +b \sqrt{d x +c}\right)}{b^{4}}+\frac{4 a^{3} c \sinh \left(a +b \sqrt{d x +c}\right)}{b^{2}}+2 c^{2} \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-\cosh \left(a +b \sqrt{d x +c}\right)\right)-2 c^{2} a \sinh \left(a +b \sqrt{d x +c}\right)}{d^{3} b^{2}}"," ",0,"2/d^3/b^2*(1/b^4*((a+b*(d*x+c)^(1/2))^5*sinh(a+b*(d*x+c)^(1/2))-5*(a+b*(d*x+c)^(1/2))^4*cosh(a+b*(d*x+c)^(1/2))+20*(a+b*(d*x+c)^(1/2))^3*sinh(a+b*(d*x+c)^(1/2))-60*(a+b*(d*x+c)^(1/2))^2*cosh(a+b*(d*x+c)^(1/2))+120*sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-120*cosh(a+b*(d*x+c)^(1/2)))-5/b^4*a*((a+b*(d*x+c)^(1/2))^4*sinh(a+b*(d*x+c)^(1/2))-4*(a+b*(d*x+c)^(1/2))^3*cosh(a+b*(d*x+c)^(1/2))+12*sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))^2-24*(a+b*(d*x+c)^(1/2))*cosh(a+b*(d*x+c)^(1/2))+24*sinh(a+b*(d*x+c)^(1/2)))+10/b^4*a^2*((a+b*(d*x+c)^(1/2))^3*sinh(a+b*(d*x+c)^(1/2))-3*(a+b*(d*x+c)^(1/2))^2*cosh(a+b*(d*x+c)^(1/2))+6*sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-6*cosh(a+b*(d*x+c)^(1/2)))-10/b^4*a^3*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))^2-2*(a+b*(d*x+c)^(1/2))*cosh(a+b*(d*x+c)^(1/2))+2*sinh(a+b*(d*x+c)^(1/2)))-2/b^2*c*((a+b*(d*x+c)^(1/2))^3*sinh(a+b*(d*x+c)^(1/2))-3*(a+b*(d*x+c)^(1/2))^2*cosh(a+b*(d*x+c)^(1/2))+6*sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-6*cosh(a+b*(d*x+c)^(1/2)))+6/b^2*c*a*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))^2-2*(a+b*(d*x+c)^(1/2))*cosh(a+b*(d*x+c)^(1/2))+2*sinh(a+b*(d*x+c)^(1/2)))+5*a^4/b^4*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-cosh(a+b*(d*x+c)^(1/2)))-6*a^2/b^2*c*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-cosh(a+b*(d*x+c)^(1/2)))-a^5/b^4*sinh(a+b*(d*x+c)^(1/2))+2*a^3/b^2*c*sinh(a+b*(d*x+c)^(1/2))+c^2*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-cosh(a+b*(d*x+c)^(1/2)))-c^2*a*sinh(a+b*(d*x+c)^(1/2)))","B"
60,1,303,149,0.084000," ","int(x*cosh(a+b*(d*x+c)^(1/2)),x)","\frac{\frac{2 \left(\left(a +b \sqrt{d x +c}\right)^{3} \sinh \left(a +b \sqrt{d x +c}\right)-3 \left(a +b \sqrt{d x +c}\right)^{2} \cosh \left(a +b \sqrt{d x +c}\right)+6 \sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-6 \cosh \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{6 a \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)^{2}-2 \left(a +b \sqrt{d x +c}\right) \cosh \left(a +b \sqrt{d x +c}\right)+2 \sinh \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}+\frac{6 a^{2} \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-\cosh \left(a +b \sqrt{d x +c}\right)\right)}{b^{2}}-\frac{2 a^{3} \sinh \left(a +b \sqrt{d x +c}\right)}{b^{2}}-2 c \left(\sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-\cosh \left(a +b \sqrt{d x +c}\right)\right)+2 a c \sinh \left(a +b \sqrt{d x +c}\right)}{d^{2} b^{2}}"," ",0,"2/d^2/b^2*(1/b^2*((a+b*(d*x+c)^(1/2))^3*sinh(a+b*(d*x+c)^(1/2))-3*(a+b*(d*x+c)^(1/2))^2*cosh(a+b*(d*x+c)^(1/2))+6*sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-6*cosh(a+b*(d*x+c)^(1/2)))-3/b^2*a*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))^2-2*(a+b*(d*x+c)^(1/2))*cosh(a+b*(d*x+c)^(1/2))+2*sinh(a+b*(d*x+c)^(1/2)))+3*a^2/b^2*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-cosh(a+b*(d*x+c)^(1/2)))-a^3/b^2*sinh(a+b*(d*x+c)^(1/2))-c*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-cosh(a+b*(d*x+c)^(1/2)))+a*c*sinh(a+b*(d*x+c)^(1/2)))","B"
61,1,63,48,0.085000," ","int(cosh(a+b*(d*x+c)^(1/2)),x)","\frac{2 \sinh \left(a +b \sqrt{d x +c}\right) \left(a +b \sqrt{d x +c}\right)-2 \cosh \left(a +b \sqrt{d x +c}\right)-2 a \sinh \left(a +b \sqrt{d x +c}\right)}{d \,b^{2}}"," ",0,"2/d/b^2*(sinh(a+b*(d*x+c)^(1/2))*(a+b*(d*x+c)^(1/2))-cosh(a+b*(d*x+c)^(1/2))-a*sinh(a+b*(d*x+c)^(1/2)))","A"
62,0,0,100,0.100000," ","int(cosh(a+b*(d*x+c)^(1/2))/x,x)","\int \frac{\cosh \left(a +b \sqrt{d x +c}\right)}{x}\, dx"," ",0,"int(cosh(a+b*(d*x+c)^(1/2))/x,x)","F"
63,0,0,140,0.101000," ","int(cosh(a+b*(d*x+c)^(1/2))/x^2,x)","\int \frac{\cosh \left(a +b \sqrt{d x +c}\right)}{x^{2}}\, dx"," ",0,"int(cosh(a+b*(d*x+c)^(1/2))/x^2,x)","F"
64,1,1815,477,0.092000," ","int(x^2*cosh(a+b*(d*x+c)^(1/3)),x)","\text{Expression too large to display}"," ",0,"3/d^3/b^3*(10/b^3*a*c*((a+b*(d*x+c)^(1/3))^4*sinh(a+b*(d*x+c)^(1/3))-4*(a+b*(d*x+c)^(1/3))^3*cosh(a+b*(d*x+c)^(1/3))+12*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-24*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+24*sinh(a+b*(d*x+c)^(1/3)))-20/b^3*a^2*c*((a+b*(d*x+c)^(1/3))^3*sinh(a+b*(d*x+c)^(1/3))-3*(a+b*(d*x+c)^(1/3))^2*cosh(a+b*(d*x+c)^(1/3))+6*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-6*cosh(a+b*(d*x+c)^(1/3)))+20/b^3*a^3*c*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-2*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+2*sinh(a+b*(d*x+c)^(1/3)))-10/b^3*a^4*c*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-cosh(a+b*(d*x+c)^(1/3)))-8/b^6*a*((a+b*(d*x+c)^(1/3))^7*sinh(a+b*(d*x+c)^(1/3))-7*(a+b*(d*x+c)^(1/3))^6*cosh(a+b*(d*x+c)^(1/3))+42*(a+b*(d*x+c)^(1/3))^5*sinh(a+b*(d*x+c)^(1/3))-210*(a+b*(d*x+c)^(1/3))^4*cosh(a+b*(d*x+c)^(1/3))+840*(a+b*(d*x+c)^(1/3))^3*sinh(a+b*(d*x+c)^(1/3))-2520*(a+b*(d*x+c)^(1/3))^2*cosh(a+b*(d*x+c)^(1/3))+5040*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-5040*cosh(a+b*(d*x+c)^(1/3)))+28/b^6*a^2*((a+b*(d*x+c)^(1/3))^6*sinh(a+b*(d*x+c)^(1/3))-6*(a+b*(d*x+c)^(1/3))^5*cosh(a+b*(d*x+c)^(1/3))+30*(a+b*(d*x+c)^(1/3))^4*sinh(a+b*(d*x+c)^(1/3))-120*(a+b*(d*x+c)^(1/3))^3*cosh(a+b*(d*x+c)^(1/3))+360*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-720*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+720*sinh(a+b*(d*x+c)^(1/3)))-56/b^6*a^3*((a+b*(d*x+c)^(1/3))^5*sinh(a+b*(d*x+c)^(1/3))-5*(a+b*(d*x+c)^(1/3))^4*cosh(a+b*(d*x+c)^(1/3))+20*(a+b*(d*x+c)^(1/3))^3*sinh(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*cosh(a+b*(d*x+c)^(1/3))+120*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-120*cosh(a+b*(d*x+c)^(1/3)))+70/b^6*a^4*((a+b*(d*x+c)^(1/3))^4*sinh(a+b*(d*x+c)^(1/3))-4*(a+b*(d*x+c)^(1/3))^3*cosh(a+b*(d*x+c)^(1/3))+12*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-24*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+24*sinh(a+b*(d*x+c)^(1/3)))-56/b^6*a^5*((a+b*(d*x+c)^(1/3))^3*sinh(a+b*(d*x+c)^(1/3))-3*(a+b*(d*x+c)^(1/3))^2*cosh(a+b*(d*x+c)^(1/3))+6*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-6*cosh(a+b*(d*x+c)^(1/3)))-2/b^3*c*((a+b*(d*x+c)^(1/3))^5*sinh(a+b*(d*x+c)^(1/3))-5*(a+b*(d*x+c)^(1/3))^4*cosh(a+b*(d*x+c)^(1/3))+20*(a+b*(d*x+c)^(1/3))^3*sinh(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*cosh(a+b*(d*x+c)^(1/3))+120*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-120*cosh(a+b*(d*x+c)^(1/3)))+28/b^6*a^6*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-2*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+2*sinh(a+b*(d*x+c)^(1/3)))-8/b^6*a^7*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-cosh(a+b*(d*x+c)^(1/3)))+2/b^3*a^5*c*sinh(a+b*(d*x+c)^(1/3))-2*c^2*a*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-cosh(a+b*(d*x+c)^(1/3)))+1/b^6*a^8*sinh(a+b*(d*x+c)^(1/3))+1/b^6*((a+b*(d*x+c)^(1/3))^8*sinh(a+b*(d*x+c)^(1/3))-8*(a+b*(d*x+c)^(1/3))^7*cosh(a+b*(d*x+c)^(1/3))+56*(a+b*(d*x+c)^(1/3))^6*sinh(a+b*(d*x+c)^(1/3))-336*(a+b*(d*x+c)^(1/3))^5*cosh(a+b*(d*x+c)^(1/3))+1680*(a+b*(d*x+c)^(1/3))^4*sinh(a+b*(d*x+c)^(1/3))-6720*(a+b*(d*x+c)^(1/3))^3*cosh(a+b*(d*x+c)^(1/3))+20160*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-40320*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+40320*sinh(a+b*(d*x+c)^(1/3)))+c^2*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-2*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+2*sinh(a+b*(d*x+c)^(1/3)))+c^2*a^2*sinh(a+b*(d*x+c)^(1/3)))","B"
65,1,659,231,0.086000," ","int(x*cosh(a+b*(d*x+c)^(1/3)),x)","\frac{\frac{3 \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{5} \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-5 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{4} \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+20 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-60 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+120 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-120 \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{15 a \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{4} \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-4 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+12 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}-24 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+24 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{30 a^{2} \left(\left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{3} \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-3 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2} \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+6 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-6 \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{30 a^{3} \left(\sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}-2 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}+\frac{15 a^{4} \left(\sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)}{b^{3}}-\frac{3 a^{5} \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{b^{3}}-3 c \left(\sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}-2 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+2 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)+6 a c \left(\sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)-3 c \,a^{2} \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{d^{2} b^{3}}"," ",0,"3/d^2/b^3*(1/b^3*((a+b*(d*x+c)^(1/3))^5*sinh(a+b*(d*x+c)^(1/3))-5*(a+b*(d*x+c)^(1/3))^4*cosh(a+b*(d*x+c)^(1/3))+20*(a+b*(d*x+c)^(1/3))^3*sinh(a+b*(d*x+c)^(1/3))-60*(a+b*(d*x+c)^(1/3))^2*cosh(a+b*(d*x+c)^(1/3))+120*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-120*cosh(a+b*(d*x+c)^(1/3)))-5/b^3*a*((a+b*(d*x+c)^(1/3))^4*sinh(a+b*(d*x+c)^(1/3))-4*(a+b*(d*x+c)^(1/3))^3*cosh(a+b*(d*x+c)^(1/3))+12*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-24*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+24*sinh(a+b*(d*x+c)^(1/3)))+10/b^3*a^2*((a+b*(d*x+c)^(1/3))^3*sinh(a+b*(d*x+c)^(1/3))-3*(a+b*(d*x+c)^(1/3))^2*cosh(a+b*(d*x+c)^(1/3))+6*sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-6*cosh(a+b*(d*x+c)^(1/3)))-10/b^3*a^3*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-2*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+2*sinh(a+b*(d*x+c)^(1/3)))+5/b^3*a^4*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-cosh(a+b*(d*x+c)^(1/3)))-1/b^3*a^5*sinh(a+b*(d*x+c)^(1/3))-c*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-2*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+2*sinh(a+b*(d*x+c)^(1/3)))+2*a*c*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-cosh(a+b*(d*x+c)^(1/3)))-c*a^2*sinh(a+b*(d*x+c)^(1/3)))","B"
66,1,133,75,0.087000," ","int(cosh(a+b*(d*x+c)^(1/3)),x)","\frac{3 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)^{2}-6 \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)+6 \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-6 a \left(\sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right) \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)-\cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)\right)+3 a^{2} \sinh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{d \,b^{3}}"," ",0,"3/d/b^3*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))^2-2*(a+b*(d*x+c)^(1/3))*cosh(a+b*(d*x+c)^(1/3))+2*sinh(a+b*(d*x+c)^(1/3))-2*a*(sinh(a+b*(d*x+c)^(1/3))*(a+b*(d*x+c)^(1/3))-cosh(a+b*(d*x+c)^(1/3)))+a^2*sinh(a+b*(d*x+c)^(1/3)))","A"
67,0,0,180,0.105000," ","int(cosh(a+b*(d*x+c)^(1/3))/x,x)","\int \frac{\cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{x}\, dx"," ",0,"int(cosh(a+b*(d*x+c)^(1/3))/x,x)","F"
68,0,0,243,0.110000," ","int(cosh(a+b*(d*x+c)^(1/3))/x^2,x)","\int \frac{\cosh \left(a +b \left(d x +c \right)^{\frac{1}{3}}\right)}{x^{2}}\, dx"," ",0,"int(cosh(a+b*(d*x+c)^(1/3))/x^2,x)","F"