1,1,52,73,0.017000," ","int(x^4*arccosh(a*x),x)","\frac{\frac{a^{5} x^{5} \mathrm{arccosh}\left(a x \right)}{5}-\frac{\sqrt{a x -1}\, \sqrt{a x +1}\, \left(3 x^{4} a^{4}+4 a^{2} x^{2}+8\right)}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arccosh(a*x)-1/75*(a*x-1)^(1/2)*(a*x+1)^(1/2)*(3*a^4*x^4+4*a^2*x^2+8))","A"
2,1,99,61,0.015000," ","int(x^3*arccosh(a*x),x)","\frac{x^{4} \mathrm{arccosh}\left(a x \right)}{4}-\frac{x^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{16 a}-\frac{3 x \sqrt{a x -1}\, \sqrt{a x +1}}{32 a^{3}}-\frac{3 \sqrt{a x -1}\, \sqrt{a x +1}\, \ln \left(a x +\sqrt{a^{2} x^{2}-1}\right)}{32 a^{4} \sqrt{a^{2} x^{2}-1}}"," ",0,"1/4*x^4*arccosh(a*x)-1/16*x^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)/a-3/32*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)/a^3-3/32/a^4*(a*x-1)^(1/2)*(a*x+1)^(1/2)/(a^2*x^2-1)^(1/2)*ln(a*x+(a^2*x^2-1)^(1/2))","A"
3,1,43,51,0.010000," ","int(x^2*arccosh(a*x),x)","\frac{\frac{a^{3} x^{3} \mathrm{arccosh}\left(a x \right)}{3}-\frac{\sqrt{a x -1}\, \sqrt{a x +1}\, \left(a^{2} x^{2}+2\right)}{9}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccosh(a*x)-1/9*(a*x-1)^(1/2)*(a*x+1)^(1/2)*(a^2*x^2+2))","A"
4,1,77,39,0.013000," ","int(x*arccosh(a*x),x)","\frac{x^{2} \mathrm{arccosh}\left(a x \right)}{2}-\frac{x \sqrt{a x -1}\, \sqrt{a x +1}}{4 a}-\frac{\sqrt{a x -1}\, \sqrt{a x +1}\, \ln \left(a x +\sqrt{a^{2} x^{2}-1}\right)}{4 a^{2} \sqrt{a^{2} x^{2}-1}}"," ",0,"1/2*x^2*arccosh(a*x)-1/4*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)/a-1/4/a^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)/(a^2*x^2-1)^(1/2)*ln(a*x+(a^2*x^2-1)^(1/2))","A"
5,1,29,26,0.002000," ","int(arccosh(a*x),x)","\frac{a x \,\mathrm{arccosh}\left(a x \right)-\sqrt{a x -1}\, \sqrt{a x +1}}{a}"," ",0,"1/a*(a*x*arccosh(a*x)-(a*x-1)^(1/2)*(a*x+1)^(1/2))","A"
6,1,66,65,0.076000," ","int(arccosh(a*x)/x,x)","-\frac{\mathrm{arccosh}\left(a x \right)^{2}}{2}+\mathrm{arccosh}\left(a x \right) \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)+\frac{\polylog \left(2, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{2}"," ",0,"-1/2*arccosh(a*x)^2+arccosh(a*x)*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+1/2*polylog(2,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)","A"
7,1,51,28,0.015000," ","int(arccosh(a*x)/x^2,x)","-\frac{\mathrm{arccosh}\left(a x \right)}{x}-\frac{a \sqrt{a x -1}\, \sqrt{a x +1}\, \arctan \left(\frac{1}{\sqrt{a^{2} x^{2}-1}}\right)}{\sqrt{a^{2} x^{2}-1}}"," ",0,"-arccosh(a*x)/x-a*(a*x-1)^(1/2)*(a*x+1)^(1/2)/(a^2*x^2-1)^(1/2)*arctan(1/(a^2*x^2-1)^(1/2))","A"
8,1,40,30,0.012000," ","int(arccosh(a*x)/x^3,x)","a^{2} \left(-\frac{\mathrm{arccosh}\left(a x \right)}{2 a^{2} x^{2}}+\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{2 a x}\right)"," ",0,"a^2*(-1/2*arccosh(a*x)/a^2/x^2+1/2*(a*x-1)^(1/2)*(a*x+1)^(1/2)/a/x)","A"
9,1,73,51,0.014000," ","int(arccosh(a*x)/x^4,x)","-\frac{\mathrm{arccosh}\left(a x \right)}{3 x^{3}}-\frac{a^{3} \sqrt{a x -1}\, \sqrt{a x +1}\, \arctan \left(\frac{1}{\sqrt{a^{2} x^{2}-1}}\right)}{6 \sqrt{a^{2} x^{2}-1}}+\frac{a \sqrt{a x -1}\, \sqrt{a x +1}}{6 x^{2}}"," ",0,"-1/3*arccosh(a*x)/x^3-1/6*a^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)/(a^2*x^2-1)^(1/2)*arctan(1/(a^2*x^2-1)^(1/2))+1/6*a*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x^2","A"
10,1,50,52,0.011000," ","int(arccosh(a*x)/x^5,x)","a^{4} \left(-\frac{\mathrm{arccosh}\left(a x \right)}{4 a^{4} x^{4}}+\frac{\sqrt{a x -1}\, \sqrt{a x +1}\, \left(2 a^{2} x^{2}+1\right)}{12 a^{3} x^{3}}\right)"," ",0,"a^4*(-1/4*arccosh(a*x)/a^4/x^4+1/12*(a*x-1)^(1/2)*(a*x+1)^(1/2)*(2*a^2*x^2+1)/a^3/x^3)","A"
11,1,95,73,0.014000," ","int(arccosh(a*x)/x^6,x)","-\frac{\mathrm{arccosh}\left(a x \right)}{5 x^{5}}-\frac{3 a^{5} \sqrt{a x -1}\, \sqrt{a x +1}\, \arctan \left(\frac{1}{\sqrt{a^{2} x^{2}-1}}\right)}{40 \sqrt{a^{2} x^{2}-1}}+\frac{3 a^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{40 x^{2}}+\frac{a \sqrt{a x -1}\, \sqrt{a x +1}}{20 x^{4}}"," ",0,"-1/5*arccosh(a*x)/x^5-3/40*a^5*(a*x-1)^(1/2)*(a*x+1)^(1/2)/(a^2*x^2-1)^(1/2)*arctan(1/(a^2*x^2-1)^(1/2))+3/40*a^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x^2+1/20*a*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x^4","A"
12,1,112,106,0.049000," ","int(x^4*arccosh(a*x)^2,x)","\frac{\frac{\mathrm{arccosh}\left(a x \right)^{2} a^{5} x^{5}}{5}-\frac{16 \sqrt{a x -1}\, \sqrt{a x +1}\, \mathrm{arccosh}\left(a x \right)}{75}-\frac{2 \,\mathrm{arccosh}\left(a x \right) a^{4} x^{4} \sqrt{a x -1}\, \sqrt{a x +1}}{25}-\frac{8 \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{2} x^{2}}{75}+\frac{16 a x}{75}+\frac{2 x^{5} a^{5}}{125}+\frac{8 x^{3} a^{3}}{225}}{a^{5}}"," ",0,"1/a^5*(1/5*arccosh(a*x)^2*a^5*x^5-16/75*(a*x-1)^(1/2)*(a*x+1)^(1/2)*arccosh(a*x)-2/25*arccosh(a*x)*a^4*x^4*(a*x-1)^(1/2)*(a*x+1)^(1/2)-8/75*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^2*x^2+16/75*a*x+2/125*x^5*a^5+8/225*x^3*a^3)","A"
13,1,92,86,0.036000," ","int(x^3*arccosh(a*x)^2,x)","\frac{\frac{a^{4} x^{4} \mathrm{arccosh}\left(a x \right)^{2}}{4}-\frac{\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{3} x^{3}}{8}-\frac{3 \,\mathrm{arccosh}\left(a x \right) a x \sqrt{a x -1}\, \sqrt{a x +1}}{16}-\frac{3 \mathrm{arccosh}\left(a x \right)^{2}}{32}+\frac{x^{4} a^{4}}{32}+\frac{3 a^{2} x^{2}}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arccosh(a*x)^2-1/8*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^3*x^3-3/16*arccosh(a*x)*a*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)-3/32*arccosh(a*x)^2+1/32*x^4*a^4+3/32*a^2*x^2)","A"
14,1,78,72,0.037000," ","int(x^2*arccosh(a*x)^2,x)","\frac{\frac{a^{3} x^{3} \mathrm{arccosh}\left(a x \right)^{2}}{3}-\frac{4 \sqrt{a x -1}\, \sqrt{a x +1}\, \mathrm{arccosh}\left(a x \right)}{9}-\frac{2 \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{2} x^{2}}{9}+\frac{4 a x}{9}+\frac{2 x^{3} a^{3}}{27}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccosh(a*x)^2-4/9*(a*x-1)^(1/2)*(a*x+1)^(1/2)*arccosh(a*x)-2/9*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^2*x^2+4/9*a*x+2/27*x^3*a^3)","A"
15,1,58,52,0.031000," ","int(x*arccosh(a*x)^2,x)","\frac{\frac{a^{2} x^{2} \mathrm{arccosh}\left(a x \right)^{2}}{2}-\frac{\mathrm{arccosh}\left(a x \right) a x \sqrt{a x -1}\, \sqrt{a x +1}}{2}-\frac{\mathrm{arccosh}\left(a x \right)^{2}}{4}+\frac{a^{2} x^{2}}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arccosh(a*x)^2-1/2*arccosh(a*x)*a*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/4*arccosh(a*x)^2+1/4*a^2*x^2)","A"
16,1,39,35,0.043000," ","int(arccosh(a*x)^2,x)","\frac{a x \mathrm{arccosh}\left(a x \right)^{2}-2 \sqrt{a x -1}\, \sqrt{a x +1}\, \mathrm{arccosh}\left(a x \right)+2 a x}{a}"," ",0,"1/a*(a*x*arccosh(a*x)^2-2*(a*x-1)^(1/2)*(a*x+1)^(1/2)*arccosh(a*x)+2*a*x)","A"
17,1,98,97,0.056000," ","int(arccosh(a*x)^2/x,x)","-\frac{\mathrm{arccosh}\left(a x \right)^{3}}{3}+\mathrm{arccosh}\left(a x \right)^{2} \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)+\mathrm{arccosh}\left(a x \right) \polylog \left(2, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)-\frac{\polylog \left(3, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{2}"," ",0,"-1/3*arccosh(a*x)^3+arccosh(a*x)^2*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+arccosh(a*x)*polylog(2,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)-1/2*polylog(3,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)","A"
18,1,137,95,0.163000," ","int(arccosh(a*x)^2/x^2,x)","-\frac{\mathrm{arccosh}\left(a x \right)^{2}}{x}-2 i a \,\mathrm{arccosh}\left(a x \right) \ln \left(1+i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)+2 i a \,\mathrm{arccosh}\left(a x \right) \ln \left(1-i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)-2 i a \dilog \left(1+i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)+2 i a \dilog \left(1-i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)"," ",0,"-arccosh(a*x)^2/x-2*I*a*arccosh(a*x)*ln(1+I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))+2*I*a*arccosh(a*x)*ln(1-I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))-2*I*a*dilog(1+I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))+2*I*a*dilog(1-I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))","A"
19,1,73,42,0.230000," ","int(arccosh(a*x)^2/x^3,x)","a^{2} \mathrm{arccosh}\left(a x \right)+\frac{a \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}}{x}-\frac{\mathrm{arccosh}\left(a x \right)^{2}}{2 x^{2}}-a^{2} \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)"," ",0,"a^2*arccosh(a*x)+a*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x-1/2*arccosh(a*x)^2/x^2-a^2*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)","A"
20,1,177,133,0.314000," ","int(arccosh(a*x)^2/x^4,x)","\frac{a \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}}{3 x^{2}}+\frac{a^{2}}{3 x}-\frac{\mathrm{arccosh}\left(a x \right)^{2}}{3 x^{3}}-\frac{i a^{3} \mathrm{arccosh}\left(a x \right) \ln \left(1+i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)}{3}+\frac{i a^{3} \mathrm{arccosh}\left(a x \right) \ln \left(1-i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)}{3}-\frac{i a^{3} \dilog \left(1+i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)}{3}+\frac{i a^{3} \dilog \left(1-i \left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)\right)}{3}"," ",0,"1/3*a*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x^2+1/3*a^2/x-1/3*arccosh(a*x)^2/x^3-1/3*I*a^3*arccosh(a*x)*ln(1+I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))+1/3*I*a^3*arccosh(a*x)*ln(1-I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))-1/3*I*a^3*dilog(1+I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))+1/3*I*a^3*dilog(1-I*(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2)))","A"
21,1,109,77,0.291000," ","int(arccosh(a*x)^2/x^5,x)","\frac{a^{4} \mathrm{arccosh}\left(a x \right)}{3}+\frac{a^{3} \mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}}{3 x}+\frac{a \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}}{6 x^{3}}+\frac{a^{2}}{12 x^{2}}-\frac{\mathrm{arccosh}\left(a x \right)^{2}}{4 x^{4}}-\frac{a^{4} \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{3}"," ",0,"1/3*a^4*arccosh(a*x)+1/3*a^3*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x+1/6*a*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x^3+1/12*a^2/x^2-1/4*arccosh(a*x)^2/x^4-1/3*a^4*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)","A"
22,1,190,187,0.059000," ","int(x^4*arccosh(a*x)^3,x)","\frac{\frac{a^{5} x^{5} \mathrm{arccosh}\left(a x \right)^{3}}{5}-\frac{8 \mathrm{arccosh}\left(a x \right)^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{25}-\frac{3 \mathrm{arccosh}\left(a x \right)^{2} a^{4} x^{4} \sqrt{a x -1}\, \sqrt{a x +1}}{25}-\frac{4 \mathrm{arccosh}\left(a x \right)^{2} a^{2} x^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{25}+\frac{16 a x \,\mathrm{arccosh}\left(a x \right)}{25}-\frac{4144 \sqrt{a x -1}\, \sqrt{a x +1}}{5625}+\frac{6 a^{5} x^{5} \mathrm{arccosh}\left(a x \right)}{125}-\frac{6 a^{4} x^{4} \sqrt{a x -1}\, \sqrt{a x +1}}{625}-\frac{272 a^{2} x^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{5625}+\frac{8 a^{3} x^{3} \mathrm{arccosh}\left(a x \right)}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arccosh(a*x)^3-8/25*arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)-3/25*arccosh(a*x)^2*a^4*x^4*(a*x-1)^(1/2)*(a*x+1)^(1/2)-4/25*arccosh(a*x)^2*a^2*x^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)+16/25*a*x*arccosh(a*x)-4144/5625*(a*x-1)^(1/2)*(a*x+1)^(1/2)+6/125*a^5*x^5*arccosh(a*x)-6/625*a^4*x^4*(a*x-1)^(1/2)*(a*x+1)^(1/2)-272/5625*a^2*x^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)+8/75*a^3*x^3*arccosh(a*x))","A"
23,1,150,149,0.043000," ","int(x^3*arccosh(a*x)^3,x)","\frac{\frac{a^{4} x^{4} \mathrm{arccosh}\left(a x \right)^{3}}{4}-\frac{3 \mathrm{arccosh}\left(a x \right)^{2} \sqrt{a x -1}\, \sqrt{a x +1}\, a^{3} x^{3}}{16}-\frac{9 \mathrm{arccosh}\left(a x \right)^{2} a x \sqrt{a x -1}\, \sqrt{a x +1}}{32}-\frac{3 \mathrm{arccosh}\left(a x \right)^{3}}{32}+\frac{3 a^{4} x^{4} \mathrm{arccosh}\left(a x \right)}{32}-\frac{3 a^{3} x^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{128}-\frac{45 \sqrt{a x +1}\, \sqrt{a x -1}\, a x}{256}-\frac{45 \,\mathrm{arccosh}\left(a x \right)}{256}+\frac{9 a^{2} x^{2} \mathrm{arccosh}\left(a x \right)}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arccosh(a*x)^3-3/16*arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^3*x^3-9/32*arccosh(a*x)^2*a*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)-3/32*arccosh(a*x)^3+3/32*a^4*x^4*arccosh(a*x)-3/128*a^3*x^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-45/256*(a*x+1)^(1/2)*(a*x-1)^(1/2)*a*x-45/256*arccosh(a*x)+9/32*a^2*x^2*arccosh(a*x))","A"
24,1,128,125,0.042000," ","int(x^2*arccosh(a*x)^3,x)","\frac{\frac{a^{3} x^{3} \mathrm{arccosh}\left(a x \right)^{3}}{3}-\frac{2 \mathrm{arccosh}\left(a x \right)^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{3}-\frac{\mathrm{arccosh}\left(a x \right)^{2} a^{2} x^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{3}+\frac{4 a x \,\mathrm{arccosh}\left(a x \right)}{3}-\frac{40 \sqrt{a x -1}\, \sqrt{a x +1}}{27}+\frac{2 a^{3} x^{3} \mathrm{arccosh}\left(a x \right)}{9}-\frac{2 a^{2} x^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{27}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccosh(a*x)^3-2/3*arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/3*arccosh(a*x)^2*a^2*x^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)+4/3*a*x*arccosh(a*x)-40/27*(a*x-1)^(1/2)*(a*x+1)^(1/2)+2/9*a^3*x^3*arccosh(a*x)-2/27*a^2*x^2*(a*x-1)^(1/2)*(a*x+1)^(1/2))","A"
25,1,88,87,0.035000," ","int(x*arccosh(a*x)^3,x)","\frac{\frac{a^{2} x^{2} \mathrm{arccosh}\left(a x \right)^{3}}{2}-\frac{3 \mathrm{arccosh}\left(a x \right)^{2} a x \sqrt{a x -1}\, \sqrt{a x +1}}{4}-\frac{\mathrm{arccosh}\left(a x \right)^{3}}{4}+\frac{3 a^{2} x^{2} \mathrm{arccosh}\left(a x \right)}{4}-\frac{3 \sqrt{a x +1}\, \sqrt{a x -1}\, a x}{8}-\frac{3 \,\mathrm{arccosh}\left(a x \right)}{8}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arccosh(a*x)^3-3/4*arccosh(a*x)^2*a*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/4*arccosh(a*x)^3+3/4*a^2*x^2*arccosh(a*x)-3/8*(a*x+1)^(1/2)*(a*x-1)^(1/2)*a*x-3/8*arccosh(a*x))","A"
26,1,61,60,0.061000," ","int(arccosh(a*x)^3,x)","\frac{a x \mathrm{arccosh}\left(a x \right)^{3}-3 \mathrm{arccosh}\left(a x \right)^{2} \sqrt{a x -1}\, \sqrt{a x +1}+6 a x \,\mathrm{arccosh}\left(a x \right)-6 \sqrt{a x -1}\, \sqrt{a x +1}}{a}"," ",0,"1/a*(a*x*arccosh(a*x)^3-3*arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)+6*a*x*arccosh(a*x)-6*(a*x-1)^(1/2)*(a*x+1)^(1/2))","A"
27,1,132,131,0.089000," ","int(arccosh(a*x)^3/x,x)","-\frac{\mathrm{arccosh}\left(a x \right)^{4}}{4}+\mathrm{arccosh}\left(a x \right)^{3} \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)+\frac{3 \mathrm{arccosh}\left(a x \right)^{2} \polylog \left(2, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{2}-\frac{3 \,\mathrm{arccosh}\left(a x \right) \polylog \left(3, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{2}+\frac{3 \polylog \left(4, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{4}"," ",0,"-1/4*arccosh(a*x)^4+arccosh(a*x)^3*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+3/2*arccosh(a*x)^2*polylog(2,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)-3/2*arccosh(a*x)*polylog(3,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+3/4*polylog(4,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)","A"
28,0,0,161,0.201000," ","int(arccosh(a*x)^3/x^2,x)","\int \frac{\mathrm{arccosh}\left(a x \right)^{3}}{x^{2}}\, dx"," ",0,"int(arccosh(a*x)^3/x^2,x)","F"
29,1,113,112,0.263000," ","int(arccosh(a*x)^3/x^3,x)","\frac{3 a^{2} \mathrm{arccosh}\left(a x \right)^{2}}{2}-\frac{\mathrm{arccosh}\left(a x \right)^{3}}{2 x^{2}}-3 a^{2} \mathrm{arccosh}\left(a x \right) \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)-\frac{3 a^{2} \polylog \left(2, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{2}+\frac{3 a \mathrm{arccosh}\left(a x \right)^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{2 x}"," ",0,"3/2*a^2*arccosh(a*x)^2-1/2*arccosh(a*x)^3/x^2-3*a^2*arccosh(a*x)*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)-3/2*a^2*polylog(2,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+3/2*a*arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x","A"
30,0,0,228,0.398000," ","int(arccosh(a*x)^3/x^4,x)","\int \frac{\mathrm{arccosh}\left(a x \right)^{3}}{x^{4}}\, dx"," ",0,"int(arccosh(a*x)^3/x^4,x)","F"
31,1,180,174,0.354000," ","int(arccosh(a*x)^3/x^5,x)","\frac{a^{3} \mathrm{arccosh}\left(a x \right)^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{2 x}+\frac{a^{4} \mathrm{arccosh}\left(a x \right)^{2}}{2}-\frac{a^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{4 x}+\frac{a^{4}}{4}+\frac{a \mathrm{arccosh}\left(a x \right)^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{4 x^{3}}+\frac{a^{2} \mathrm{arccosh}\left(a x \right)}{4 x^{2}}-\frac{\mathrm{arccosh}\left(a x \right)^{3}}{4 x^{4}}-a^{4} \mathrm{arccosh}\left(a x \right) \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)-\frac{a^{4} \polylog \left(2, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{2}"," ",0,"1/2*a^3*arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x+1/2*a^4*arccosh(a*x)^2-1/4*a^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x+1/4*a^4+1/4*a*arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x^3+1/4*a^2*arccosh(a*x)/x^2-1/4*arccosh(a*x)^3/x^4-a^4*arccosh(a*x)*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)-1/2*a^4*polylog(2,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)","A"
32,1,256,252,0.057000," ","int(x^5*arccosh(a*x)^4,x)","\frac{\frac{a^{6} x^{6} \mathrm{arccosh}\left(a x \right)^{4}}{6}-\frac{a^{5} x^{5} \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{9}-\frac{5 \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}\, a^{3} x^{3}}{36}-\frac{5 \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}\, a x}{24}-\frac{5 \mathrm{arccosh}\left(a x \right)^{4}}{96}+\frac{\mathrm{arccosh}\left(a x \right)^{2} a^{6} x^{6}}{18}-\frac{\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{5} x^{5}}{54}-\frac{65 \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{3} x^{3}}{864}-\frac{245 \,\mathrm{arccosh}\left(a x \right) a x \sqrt{a x -1}\, \sqrt{a x +1}}{576}-\frac{245 \mathrm{arccosh}\left(a x \right)^{2}}{1152}+\frac{x^{6} a^{6}}{324}+\frac{65 x^{4} a^{4}}{3456}+\frac{245 a^{2} x^{2}}{1152}+\frac{5 a^{4} x^{4} \mathrm{arccosh}\left(a x \right)^{2}}{48}+\frac{5 a^{2} x^{2} \mathrm{arccosh}\left(a x \right)^{2}}{16}}{a^{6}}"," ",0,"1/a^6*(1/6*a^6*x^6*arccosh(a*x)^4-1/9*a^5*x^5*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-5/36*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^3*x^3-5/24*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a*x-5/96*arccosh(a*x)^4+1/18*arccosh(a*x)^2*a^6*x^6-1/54*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^5*x^5-65/864*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^3*x^3-245/576*arccosh(a*x)*a*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)-245/1152*arccosh(a*x)^2+1/324*x^6*a^6+65/3456*x^4*a^4+245/1152*a^2*x^2+5/48*a^4*x^4*arccosh(a*x)^2+5/16*a^2*x^2*arccosh(a*x)^2)","A"
33,1,228,224,0.050000," ","int(x^4*arccosh(a*x)^4,x)","\frac{\frac{a^{5} x^{5} \mathrm{arccosh}\left(a x \right)^{4}}{5}-\frac{32 \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{75}-\frac{4 a^{4} x^{4} \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{25}-\frac{16 \mathrm{arccosh}\left(a x \right)^{3} a^{2} x^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{75}+\frac{32 a x \mathrm{arccosh}\left(a x \right)^{2}}{25}-\frac{16576 \sqrt{a x -1}\, \sqrt{a x +1}\, \mathrm{arccosh}\left(a x \right)}{5625}+\frac{16576 a x}{5625}+\frac{12 \mathrm{arccosh}\left(a x \right)^{2} a^{5} x^{5}}{125}-\frac{24 \,\mathrm{arccosh}\left(a x \right) a^{4} x^{4} \sqrt{a x -1}\, \sqrt{a x +1}}{625}-\frac{1088 \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{2} x^{2}}{5625}+\frac{24 x^{5} a^{5}}{3125}+\frac{1088 x^{3} a^{3}}{16875}+\frac{16 a^{3} x^{3} \mathrm{arccosh}\left(a x \right)^{2}}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arccosh(a*x)^4-32/75*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-4/25*a^4*x^4*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-16/75*arccosh(a*x)^3*a^2*x^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)+32/25*a*x*arccosh(a*x)^2-16576/5625*(a*x-1)^(1/2)*(a*x+1)^(1/2)*arccosh(a*x)+16576/5625*a*x+12/125*arccosh(a*x)^2*a^5*x^5-24/625*arccosh(a*x)*a^4*x^4*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1088/5625*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^2*x^2+24/3125*x^5*a^5+1088/16875*x^3*a^3+16/75*a^3*x^3*arccosh(a*x)^2)","A"
34,1,180,176,0.049000," ","int(x^3*arccosh(a*x)^4,x)","\frac{\frac{a^{4} x^{4} \mathrm{arccosh}\left(a x \right)^{4}}{4}-\frac{\mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}\, a^{3} x^{3}}{4}-\frac{3 \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}\, a x}{8}-\frac{3 \mathrm{arccosh}\left(a x \right)^{4}}{32}+\frac{3 a^{4} x^{4} \mathrm{arccosh}\left(a x \right)^{2}}{16}-\frac{3 \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{3} x^{3}}{32}-\frac{45 \,\mathrm{arccosh}\left(a x \right) a x \sqrt{a x -1}\, \sqrt{a x +1}}{64}-\frac{45 \mathrm{arccosh}\left(a x \right)^{2}}{128}+\frac{3 x^{4} a^{4}}{128}+\frac{45 a^{2} x^{2}}{128}+\frac{9 a^{2} x^{2} \mathrm{arccosh}\left(a x \right)^{2}}{16}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arccosh(a*x)^4-1/4*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^3*x^3-3/8*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a*x-3/32*arccosh(a*x)^4+3/16*a^4*x^4*arccosh(a*x)^2-3/32*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^3*x^3-45/64*arccosh(a*x)*a*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)-45/128*arccosh(a*x)^2+3/128*x^4*a^4+45/128*a^2*x^2+9/16*a^2*x^2*arccosh(a*x)^2)","A"
35,1,152,148,0.043000," ","int(x^2*arccosh(a*x)^4,x)","\frac{\frac{a^{3} x^{3} \mathrm{arccosh}\left(a x \right)^{4}}{3}-\frac{8 \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{9}-\frac{4 \mathrm{arccosh}\left(a x \right)^{3} a^{2} x^{2} \sqrt{a x -1}\, \sqrt{a x +1}}{9}+\frac{8 a x \mathrm{arccosh}\left(a x \right)^{2}}{3}-\frac{160 \sqrt{a x -1}\, \sqrt{a x +1}\, \mathrm{arccosh}\left(a x \right)}{27}+\frac{160 a x}{27}+\frac{4 a^{3} x^{3} \mathrm{arccosh}\left(a x \right)^{2}}{9}-\frac{8 \,\mathrm{arccosh}\left(a x \right) \sqrt{a x -1}\, \sqrt{a x +1}\, a^{2} x^{2}}{27}+\frac{8 x^{3} a^{3}}{81}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arccosh(a*x)^4-8/9*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-4/9*arccosh(a*x)^3*a^2*x^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)+8/3*a*x*arccosh(a*x)^2-160/27*(a*x-1)^(1/2)*(a*x+1)^(1/2)*arccosh(a*x)+160/27*a*x+4/9*a^3*x^3*arccosh(a*x)^2-8/27*arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a^2*x^2+8/81*x^3*a^3)","A"
36,1,104,100,0.037000," ","int(x*arccosh(a*x)^4,x)","\frac{\frac{a^{2} x^{2} \mathrm{arccosh}\left(a x \right)^{4}}{2}-\mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}\, a x -\frac{\mathrm{arccosh}\left(a x \right)^{4}}{4}+\frac{3 a^{2} x^{2} \mathrm{arccosh}\left(a x \right)^{2}}{2}-\frac{3 \,\mathrm{arccosh}\left(a x \right) a x \sqrt{a x -1}\, \sqrt{a x +1}}{2}-\frac{3 \mathrm{arccosh}\left(a x \right)^{2}}{4}+\frac{3 a^{2} x^{2}}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arccosh(a*x)^4-arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)*a*x-1/4*arccosh(a*x)^4+3/2*a^2*x^2*arccosh(a*x)^2-3/2*arccosh(a*x)*a*x*(a*x-1)^(1/2)*(a*x+1)^(1/2)-3/4*arccosh(a*x)^2+3/4*a^2*x^2)","A"
37,1,71,69,0.061000," ","int(arccosh(a*x)^4,x)","\frac{a x \mathrm{arccosh}\left(a x \right)^{4}-4 \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}+12 a x \mathrm{arccosh}\left(a x \right)^{2}-24 \sqrt{a x -1}\, \sqrt{a x +1}\, \mathrm{arccosh}\left(a x \right)+24 a x}{a}"," ",0,"1/a*(a*x*arccosh(a*x)^4-4*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)+12*a*x*arccosh(a*x)^2-24*(a*x-1)^(1/2)*(a*x+1)^(1/2)*arccosh(a*x)+24*a*x)","A"
38,1,165,164,0.085000," ","int(arccosh(a*x)^4/x,x)","-\frac{\mathrm{arccosh}\left(a x \right)^{5}}{5}+\mathrm{arccosh}\left(a x \right)^{4} \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)+2 \mathrm{arccosh}\left(a x \right)^{3} \polylog \left(2, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)-3 \mathrm{arccosh}\left(a x \right)^{2} \polylog \left(3, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)+3 \,\mathrm{arccosh}\left(a x \right) \polylog \left(4, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)-\frac{3 \polylog \left(5, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)}{2}"," ",0,"-1/5*arccosh(a*x)^5+arccosh(a*x)^4*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+2*arccosh(a*x)^3*polylog(2,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)-3*arccosh(a*x)^2*polylog(3,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+3*arccosh(a*x)*polylog(4,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)-3/2*polylog(5,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)","A"
39,0,0,229,0.193000," ","int(arccosh(a*x)^4/x^2,x)","\int \frac{\mathrm{arccosh}\left(a x \right)^{4}}{x^{2}}\, dx"," ",0,"int(arccosh(a*x)^4/x^2,x)","F"
40,1,149,148,0.245000," ","int(arccosh(a*x)^4/x^3,x)","2 a^{2} \mathrm{arccosh}\left(a x \right)^{3}-\frac{\mathrm{arccosh}\left(a x \right)^{4}}{2 x^{2}}-6 a^{2} \mathrm{arccosh}\left(a x \right)^{2} \ln \left(1+\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)-6 a^{2} \mathrm{arccosh}\left(a x \right) \polylog \left(2, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)+3 a^{2} \polylog \left(3, -\left(a x +\sqrt{a x -1}\, \sqrt{a x +1}\right)^{2}\right)+\frac{2 a \mathrm{arccosh}\left(a x \right)^{3} \sqrt{a x -1}\, \sqrt{a x +1}}{x}"," ",0,"2*a^2*arccosh(a*x)^3-1/2*arccosh(a*x)^4/x^2-6*a^2*arccosh(a*x)^2*ln(1+(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)-6*a^2*arccosh(a*x)*polylog(2,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+3*a^2*polylog(3,-(a*x+(a*x-1)^(1/2)*(a*x+1)^(1/2))^2)+2*a*arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)/x","A"
41,0,0,372,0.401000," ","int(arccosh(a*x)^4/x^4,x)","\int \frac{\mathrm{arccosh}\left(a x \right)^{4}}{x^{4}}\, dx"," ",0,"int(arccosh(a*x)^4/x^4,x)","F"
42,1,40,47,0.108000," ","int(x^6/arccosh(a*x),x)","\frac{\frac{5 \Shi \left(\mathrm{arccosh}\left(a x \right)\right)}{64}+\frac{9 \Shi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{64}+\frac{5 \Shi \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{64}+\frac{\Shi \left(7 \,\mathrm{arccosh}\left(a x \right)\right)}{64}}{a^{7}}"," ",0,"1/a^7*(5/64*Shi(arccosh(a*x))+9/64*Shi(3*arccosh(a*x))+5/64*Shi(5*arccosh(a*x))+1/64*Shi(7*arccosh(a*x)))","A"
43,1,33,37,0.104000," ","int(x^5/arccosh(a*x),x)","\frac{\frac{\Shi \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{8}+\frac{\Shi \left(6 \,\mathrm{arccosh}\left(a x \right)\right)}{32}+\frac{5 \Shi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{32}}{a^{6}}"," ",0,"1/a^6*(1/8*Shi(4*arccosh(a*x))+1/32*Shi(6*arccosh(a*x))+5/32*Shi(2*arccosh(a*x)))","A"
44,1,31,35,0.031000," ","int(x^4/arccosh(a*x),x)","\frac{\frac{\Shi \left(\mathrm{arccosh}\left(a x \right)\right)}{8}+\frac{3 \Shi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{16}+\frac{\Shi \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{16}}{a^{5}}"," ",0,"1/a^5*(1/8*Shi(arccosh(a*x))+3/16*Shi(3*arccosh(a*x))+1/16*Shi(5*arccosh(a*x)))","A"
45,1,24,25,0.031000," ","int(x^3/arccosh(a*x),x)","\frac{\frac{\Shi \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{8}+\frac{\Shi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{4}}{a^{4}}"," ",0,"1/a^4*(1/8*Shi(4*arccosh(a*x))+1/4*Shi(2*arccosh(a*x)))","A"
46,1,22,23,0.031000," ","int(x^2/arccosh(a*x),x)","\frac{\frac{\Shi \left(\mathrm{arccosh}\left(a x \right)\right)}{4}+\frac{\Shi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(1/4*Shi(arccosh(a*x))+1/4*Shi(3*arccosh(a*x)))","A"
47,1,13,12,0.028000," ","int(x/arccosh(a*x),x)","\frac{\Shi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{2 a^{2}}"," ",0,"1/2*Shi(2*arccosh(a*x))/a^2","A"
48,1,10,9,0.024000," ","int(1/arccosh(a*x),x)","\frac{\Shi \left(\mathrm{arccosh}\left(a x \right)\right)}{a}"," ",0,"Shi(arccosh(a*x))/a","A"
49,0,0,12,0.116000," ","int(1/x/arccosh(a*x),x)","\int \frac{1}{x \,\mathrm{arccosh}\left(a x \right)}\, dx"," ",0,"int(1/x/arccosh(a*x),x)","F"
50,0,0,12,0.194000," ","int(1/x^2/arccosh(a*x),x)","\int \frac{1}{x^{2} \mathrm{arccosh}\left(a x \right)}\, dx"," ",0,"int(1/x^2/arccosh(a*x),x)","F"
51,1,83,63,0.108000," ","int(x^4/arccosh(a*x)^2,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{8 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(\mathrm{arccosh}\left(a x \right)\right)}{8}-\frac{3 \sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{16 \,\mathrm{arccosh}\left(a x \right)}+\frac{9 \Chi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{16}-\frac{\sinh \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{16 \,\mathrm{arccosh}\left(a x \right)}+\frac{5 \Chi \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{16}}{a^{5}}"," ",0,"1/a^5*(-1/8/arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)+1/8*Chi(arccosh(a*x))-3/16/arccosh(a*x)*sinh(3*arccosh(a*x))+9/16*Chi(3*arccosh(a*x))-1/16/arccosh(a*x)*sinh(5*arccosh(a*x))+5/16*Chi(5*arccosh(a*x)))","A"
52,1,54,53,0.085000," ","int(x^3/arccosh(a*x)^2,x)","\frac{-\frac{\sinh \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{8 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{2}-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{4 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{2}}{a^{4}}"," ",0,"1/a^4*(-1/8/arccosh(a*x)*sinh(4*arccosh(a*x))+1/2*Chi(4*arccosh(a*x))-1/4/arccosh(a*x)*sinh(2*arccosh(a*x))+1/2*Chi(2*arccosh(a*x)))","A"
53,1,59,51,0.036000," ","int(x^2/arccosh(a*x)^2,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{4 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(\mathrm{arccosh}\left(a x \right)\right)}{4}-\frac{\sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{4 \,\mathrm{arccosh}\left(a x \right)}+\frac{3 \Chi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(-1/4/arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)+1/4*Chi(arccosh(a*x))-1/4/arccosh(a*x)*sinh(3*arccosh(a*x))+3/4*Chi(3*arccosh(a*x)))","A"
54,1,28,38,0.029000," ","int(x/arccosh(a*x)^2,x)","\frac{-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{2 \,\mathrm{arccosh}\left(a x \right)}+\Chi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(-1/2/arccosh(a*x)*sinh(2*arccosh(a*x))+Chi(2*arccosh(a*x)))","A"
55,1,33,35,0.028000," ","int(1/arccosh(a*x)^2,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{\mathrm{arccosh}\left(a x \right)}+\Chi \left(\mathrm{arccosh}\left(a x \right)\right)}{a}"," ",0,"1/a*(-1/arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)+Chi(arccosh(a*x)))","A"
56,0,0,12,0.097000," ","int(1/x/arccosh(a*x)^2,x)","\int \frac{1}{x \mathrm{arccosh}\left(a x \right)^{2}}\, dx"," ",0,"int(1/x/arccosh(a*x)^2,x)","F"
57,0,0,12,0.196000," ","int(1/x^2/arccosh(a*x)^2,x)","\int \frac{1}{x^{2} \mathrm{arccosh}\left(a x \right)^{2}}\, dx"," ",0,"int(1/x^2/arccosh(a*x)^2,x)","F"
58,1,123,88,0.108000," ","int(x^4/arccosh(a*x)^3,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{16 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{a x}{16 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Shi \left(\mathrm{arccosh}\left(a x \right)\right)}{16}-\frac{3 \sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{32 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{9 \cosh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{32 \,\mathrm{arccosh}\left(a x \right)}+\frac{27 \Shi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{32}-\frac{\sinh \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{32 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{5 \cosh \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{32 \,\mathrm{arccosh}\left(a x \right)}+\frac{25 \Shi \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{32}}{a^{5}}"," ",0,"1/a^5*(-1/16/arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/16*a*x/arccosh(a*x)+1/16*Shi(arccosh(a*x))-3/32/arccosh(a*x)^2*sinh(3*arccosh(a*x))-9/32/arccosh(a*x)*cosh(3*arccosh(a*x))+27/32*Shi(3*arccosh(a*x))-1/32/arccosh(a*x)^2*sinh(5*arccosh(a*x))-5/32/arccosh(a*x)*cosh(5*arccosh(a*x))+25/32*Shi(5*arccosh(a*x)))","A"
59,1,82,77,0.082000," ","int(x^3/arccosh(a*x)^3,x)","\frac{-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{8 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\cosh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{4 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Shi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{2}-\frac{\sinh \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{16 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\cosh \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{4 \,\mathrm{arccosh}\left(a x \right)}+\Shi \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{a^{4}}"," ",0,"1/a^4*(-1/8*sinh(2*arccosh(a*x))/arccosh(a*x)^2-1/4/arccosh(a*x)*cosh(2*arccosh(a*x))+1/2*Shi(2*arccosh(a*x))-1/16/arccosh(a*x)^2*sinh(4*arccosh(a*x))-1/4/arccosh(a*x)*cosh(4*arccosh(a*x))+Shi(4*arccosh(a*x)))","A"
60,1,84,73,0.034000," ","int(x^2/arccosh(a*x)^3,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{8 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{a x}{8 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Shi \left(\mathrm{arccosh}\left(a x \right)\right)}{8}-\frac{\sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{8 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{3 \cosh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{8 \,\mathrm{arccosh}\left(a x \right)}+\frac{9 \Shi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(-1/8/arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/8*a*x/arccosh(a*x)+1/8*Shi(arccosh(a*x))-1/8/arccosh(a*x)^2*sinh(3*arccosh(a*x))-3/8/arccosh(a*x)*cosh(3*arccosh(a*x))+9/8*Shi(3*arccosh(a*x)))","A"
61,1,43,60,0.029000," ","int(x/arccosh(a*x)^3,x)","\frac{-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{4 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\cosh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{2 \,\mathrm{arccosh}\left(a x \right)}+\Shi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(-1/4*sinh(2*arccosh(a*x))/arccosh(a*x)^2-1/2/arccosh(a*x)*cosh(2*arccosh(a*x))+Shi(2*arccosh(a*x)))","A"
62,1,45,45,0.030000," ","int(1/arccosh(a*x)^3,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{2 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{a x}{2 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Shi \left(\mathrm{arccosh}\left(a x \right)\right)}{2}}{a}"," ",0,"1/a*(-1/2/arccosh(a*x)^2*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/2*a*x/arccosh(a*x)+1/2*Shi(arccosh(a*x)))","A"
63,0,0,12,0.117000," ","int(1/x/arccosh(a*x)^3,x)","\int \frac{1}{x \mathrm{arccosh}\left(a x \right)^{3}}\, dx"," ",0,"int(1/x/arccosh(a*x)^3,x)","F"
64,0,0,12,0.195000," ","int(1/x^2/arccosh(a*x)^3,x)","\int \frac{1}{x^{2} \mathrm{arccosh}\left(a x \right)^{3}}\, dx"," ",0,"int(1/x^2/arccosh(a*x)^3,x)","F"
65,1,175,144,0.115000," ","int(x^4/arccosh(a*x)^4,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{24 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{a x}{48 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{48 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(\mathrm{arccosh}\left(a x \right)\right)}{48}-\frac{\sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{16 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{3 \cosh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{32 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{9 \sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{32 \,\mathrm{arccosh}\left(a x \right)}+\frac{27 \Chi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{32}-\frac{\sinh \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{48 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{5 \cosh \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{96 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{25 \sinh \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{96 \,\mathrm{arccosh}\left(a x \right)}+\frac{125 \Chi \left(5 \,\mathrm{arccosh}\left(a x \right)\right)}{96}}{a^{5}}"," ",0,"1/a^5*(-1/24/arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/48*a*x/arccosh(a*x)^2-1/48/arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)+1/48*Chi(arccosh(a*x))-1/16/arccosh(a*x)^3*sinh(3*arccosh(a*x))-3/32/arccosh(a*x)^2*cosh(3*arccosh(a*x))-9/32/arccosh(a*x)*sinh(3*arccosh(a*x))+27/32*Chi(3*arccosh(a*x))-1/48/arccosh(a*x)^3*sinh(5*arccosh(a*x))-5/96/arccosh(a*x)^2*cosh(5*arccosh(a*x))-25/96/arccosh(a*x)*sinh(5*arccosh(a*x))+125/96*Chi(5*arccosh(a*x)))","A"
66,1,114,131,0.082000," ","int(x^3/arccosh(a*x)^4,x)","\frac{-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{12 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{\cosh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{12 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{6 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{3}-\frac{\sinh \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{24 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{\cosh \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{12 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\sinh \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{3 \,\mathrm{arccosh}\left(a x \right)}+\frac{4 \Chi \left(4 \,\mathrm{arccosh}\left(a x \right)\right)}{3}}{a^{4}}"," ",0,"1/a^4*(-1/12/arccosh(a*x)^3*sinh(2*arccosh(a*x))-1/12/arccosh(a*x)^2*cosh(2*arccosh(a*x))-1/6/arccosh(a*x)*sinh(2*arccosh(a*x))+1/3*Chi(2*arccosh(a*x))-1/24/arccosh(a*x)^3*sinh(4*arccosh(a*x))-1/12/arccosh(a*x)^2*cosh(4*arccosh(a*x))-1/3/arccosh(a*x)*sinh(4*arccosh(a*x))+4/3*Chi(4*arccosh(a*x)))","A"
67,1,121,127,0.039000," ","int(x^2/arccosh(a*x)^4,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{12 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{a x}{24 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{24 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(\mathrm{arccosh}\left(a x \right)\right)}{24}-\frac{\sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{12 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{\cosh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{8 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{3 \sinh \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{8 \,\mathrm{arccosh}\left(a x \right)}+\frac{9 \Chi \left(3 \,\mathrm{arccosh}\left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(-1/12/arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/24*a*x/arccosh(a*x)^2-1/24/arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)+1/24*Chi(arccosh(a*x))-1/12/arccosh(a*x)^3*sinh(3*arccosh(a*x))-1/8/arccosh(a*x)^2*cosh(3*arccosh(a*x))-3/8/arccosh(a*x)*sinh(3*arccosh(a*x))+9/8*Chi(3*arccosh(a*x)))","A"
68,1,60,87,0.098000," ","int(x/arccosh(a*x)^4,x)","\frac{-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{6 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{\cosh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{6 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\sinh \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{3 \,\mathrm{arccosh}\left(a x \right)}+\frac{2 \Chi \left(2 \,\mathrm{arccosh}\left(a x \right)\right)}{3}}{a^{2}}"," ",0,"1/a^2*(-1/6/arccosh(a*x)^3*sinh(2*arccosh(a*x))-1/6/arccosh(a*x)^2*cosh(2*arccosh(a*x))-1/3/arccosh(a*x)*sinh(2*arccosh(a*x))+2/3*Chi(2*arccosh(a*x)))","A"
69,1,67,70,0.033000," ","int(1/arccosh(a*x)^4,x)","\frac{-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{3 \mathrm{arccosh}\left(a x \right)^{3}}-\frac{a x}{6 \mathrm{arccosh}\left(a x \right)^{2}}-\frac{\sqrt{a x -1}\, \sqrt{a x +1}}{6 \,\mathrm{arccosh}\left(a x \right)}+\frac{\Chi \left(\mathrm{arccosh}\left(a x \right)\right)}{6}}{a}"," ",0,"1/a*(-1/3/arccosh(a*x)^3*(a*x-1)^(1/2)*(a*x+1)^(1/2)-1/6*a*x/arccosh(a*x)^2-1/6/arccosh(a*x)*(a*x-1)^(1/2)*(a*x+1)^(1/2)+1/6*Chi(arccosh(a*x)))","A"
70,0,0,12,0.120000," ","int(1/x/arccosh(a*x)^4,x)","\int \frac{1}{x \mathrm{arccosh}\left(a x \right)^{4}}\, dx"," ",0,"int(1/x/arccosh(a*x)^4,x)","F"
71,0,0,12,0.202000," ","int(1/x^2/arccosh(a*x)^4,x)","\int \frac{1}{x^{2} \mathrm{arccosh}\left(a x \right)^{4}}\, dx"," ",0,"int(1/x^2/arccosh(a*x)^4,x)","F"
72,-2,0,130,180.000000," ","int(x^4*arccosh(a*x)^(1/2),x)","\int x^{4} \sqrt{\mathrm{arccosh}\left(a x \right)}\, dx"," ",0,"int(x^4*arccosh(a*x)^(1/2),x)","F"
73,-2,0,101,180.000000," ","int(x^3*arccosh(a*x)^(1/2),x)","\int x^{3} \sqrt{\mathrm{arccosh}\left(a x \right)}\, dx"," ",0,"int(x^3*arccosh(a*x)^(1/2),x)","F"
74,-2,0,86,180.000000," ","int(x^2*arccosh(a*x)^(1/2),x)","\int x^{2} \sqrt{\mathrm{arccosh}\left(a x \right)}\, dx"," ",0,"int(x^2*arccosh(a*x)^(1/2),x)","F"
75,1,73,67,0.202000," ","int(x*arccosh(a*x)^(1/2),x)","-\frac{\sqrt{2}\, \left(-8 \sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, x^{2} a^{2}+4 \sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}+\pi  \erf \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)+\pi  \erfi \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{32 \sqrt{\pi}\, a^{2}}"," ",0,"-1/32*2^(1/2)*(-8*2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)*x^2*a^2+4*2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)+Pi*erf(2^(1/2)*arccosh(a*x)^(1/2))+Pi*erfi(2^(1/2)*arccosh(a*x)^(1/2)))/Pi^(1/2)/a^2","A"
76,1,43,39,0.132000," ","int(arccosh(a*x)^(1/2),x)","\frac{4 \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, x a -\pi  \erf \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)-\pi  \erfi \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)}{4 \sqrt{\pi}\, a}"," ",0,"1/4*(4*arccosh(a*x)^(1/2)*Pi^(1/2)*x*a-Pi*erf(arccosh(a*x)^(1/2))-Pi*erfi(arccosh(a*x)^(1/2)))/Pi^(1/2)/a","A"
77,0,0,12,0.153000," ","int(arccosh(a*x)^(1/2)/x,x)","\int \frac{\sqrt{\mathrm{arccosh}\left(a x \right)}}{x}\, dx"," ",0,"int(arccosh(a*x)^(1/2)/x,x)","F"
78,-2,0,211,180.000000," ","int(x^4*arccosh(a*x)^(3/2),x)","\int x^{4} \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^4*arccosh(a*x)^(3/2),x)","F"
79,-2,0,155,180.000000," ","int(x^3*arccosh(a*x)^(3/2),x)","\int x^{3} \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^3*arccosh(a*x)^(3/2),x)","F"
80,-2,0,139,180.000000," ","int(x^2*arccosh(a*x)^(3/2),x)","\int x^{2} \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^2*arccosh(a*x)^(3/2),x)","F"
81,1,105,93,0.297000," ","int(x*arccosh(a*x)^(3/2),x)","\frac{\sqrt{2}\, \left(32 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}-24 \sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}\, x a -16 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}-3 \pi  \erf \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)+3 \pi  \erfi \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{128 \sqrt{\pi}\, a^{2}}"," ",0,"1/128*2^(1/2)*(32*arccosh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x^2*a^2-24*2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)*x*a-16*arccosh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)-3*Pi*erf(2^(1/2)*arccosh(a*x)^(1/2))+3*Pi*erfi(2^(1/2)*arccosh(a*x)^(1/2)))/Pi^(1/2)/a^2","A"
82,1,68,64,0.203000," ","int(arccosh(a*x)^(3/2),x)","-\frac{-8 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, x a +12 \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}+3 \pi  \erf \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)-3 \pi  \erfi \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)}{8 \sqrt{\pi}\, a}"," ",0,"-1/8*(-8*arccosh(a*x)^(3/2)*Pi^(1/2)*x*a+12*arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)+3*Pi*erf(arccosh(a*x)^(1/2))-3*Pi*erfi(arccosh(a*x)^(1/2)))/Pi^(1/2)/a","A"
83,0,0,12,0.145000," ","int(arccosh(a*x)^(3/2)/x,x)","\int \frac{\mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int(arccosh(a*x)^(3/2)/x,x)","F"
84,-2,0,248,180.000000," ","int(x^4*arccosh(a*x)^(5/2),x)","\int x^{4} \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}\, dx"," ",0,"int(x^4*arccosh(a*x)^(5/2),x)","F"
85,-2,0,191,180.000000," ","int(x^3*arccosh(a*x)^(5/2),x)","\int x^{3} \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}\, dx"," ",0,"int(x^3*arccosh(a*x)^(5/2),x)","F"
86,-2,0,162,180.000000," ","int(x^2*arccosh(a*x)^(5/2),x)","\int x^{2} \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}\, dx"," ",0,"int(x^2*arccosh(a*x)^(5/2),x)","F"
87,1,139,115,0.273000," ","int(x*arccosh(a*x)^(5/2),x)","\frac{\sqrt{2}\, \left(128 \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}-160 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}\, x a -64 \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}+120 \sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, x^{2} a^{2}-60 \sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}-15 \pi  \erf \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)-15 \pi  \erfi \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{512 \sqrt{\pi}\, a^{2}}"," ",0,"1/512*2^(1/2)*(128*arccosh(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*x^2*a^2-160*arccosh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)*x*a-64*arccosh(a*x)^(5/2)*2^(1/2)*Pi^(1/2)+120*2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)*x^2*a^2-60*2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)-15*Pi*erf(2^(1/2)*arccosh(a*x)^(1/2))-15*Pi*erfi(2^(1/2)*arccosh(a*x)^(1/2)))/Pi^(1/2)/a^2","A"
88,1,81,73,0.211000," ","int(arccosh(a*x)^(5/2),x)","-\frac{-16 \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}} \sqrt{\pi}\, x a +40 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}-60 \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, x a +15 \pi  \erf \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)+15 \pi  \erfi \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)}{16 \sqrt{\pi}\, a}"," ",0,"-1/16*(-16*arccosh(a*x)^(5/2)*Pi^(1/2)*x*a+40*arccosh(a*x)^(3/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)-60*arccosh(a*x)^(1/2)*Pi^(1/2)*x*a+15*Pi*erf(arccosh(a*x)^(1/2))+15*Pi*erfi(arccosh(a*x)^(1/2)))/Pi^(1/2)/a","A"
89,0,0,12,0.147000," ","int(arccosh(a*x)^(5/2)/x,x)","\int \frac{\mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}}{x}\, dx"," ",0,"int(arccosh(a*x)^(5/2)/x,x)","F"
90,-2,0,119,180.000000," ","int(x^4/arccosh(a*x)^(1/2),x)","\int \frac{x^{4}}{\sqrt{\mathrm{arccosh}\left(a x \right)}}\, dx"," ",0,"int(x^4/arccosh(a*x)^(1/2),x)","F"
91,-2,0,79,180.000000," ","int(x^3/arccosh(a*x)^(1/2),x)","\int \frac{x^{3}}{\sqrt{\mathrm{arccosh}\left(a x \right)}}\, dx"," ",0,"int(x^3/arccosh(a*x)^(1/2),x)","F"
92,-2,0,75,180.000000," ","int(x^2/arccosh(a*x)^(1/2),x)","\int \frac{x^{2}}{\sqrt{\mathrm{arccosh}\left(a x \right)}}\, dx"," ",0,"int(x^2/arccosh(a*x)^(1/2),x)","F"
93,1,37,45,0.120000," ","int(x/arccosh(a*x)^(1/2),x)","-\frac{\sqrt{\pi}\, \sqrt{2}\, \left(\erf \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)-\erfi \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{8 a^{2}}"," ",0,"-1/8*Pi^(1/2)*2^(1/2)*(erf(2^(1/2)*arccosh(a*x)^(1/2))-erfi(2^(1/2)*arccosh(a*x)^(1/2)))/a^2","A"
94,1,26,31,0.085000," ","int(1/arccosh(a*x)^(1/2),x)","-\frac{\sqrt{\pi}\, \left(\erf \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)-\erfi \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{2 a}"," ",0,"-1/2*Pi^(1/2)*(erf(arccosh(a*x)^(1/2))-erfi(arccosh(a*x)^(1/2)))/a","A"
95,0,0,12,0.146000," ","int(1/x/arccosh(a*x)^(1/2),x)","\int \frac{1}{x \sqrt{\mathrm{arccosh}\left(a x \right)}}\, dx"," ",0,"int(1/x/arccosh(a*x)^(1/2),x)","F"
96,0,0,12,0.339000," ","int(1/x^2/arccosh(a*x)^(1/2),x)","\int \frac{1}{x^{2} \sqrt{\mathrm{arccosh}\left(a x \right)}}\, dx"," ",0,"int(1/x^2/arccosh(a*x)^(1/2),x)","F"
97,-2,0,147,180.000000," ","int(x^4/arccosh(a*x)^(3/2),x)","\int \frac{x^{4}}{\mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^4/arccosh(a*x)^(3/2),x)","F"
98,-2,0,107,180.000000," ","int(x^3/arccosh(a*x)^(3/2),x)","\int \frac{x^{3}}{\mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^3/arccosh(a*x)^(3/2),x)","F"
99,-2,0,103,180.000000," ","int(x^2/arccosh(a*x)^(3/2),x)","\int \frac{x^{2}}{\mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/arccosh(a*x)^(3/2),x)","F"
100,1,83,71,0.266000," ","int(x/arccosh(a*x)^(3/2),x)","\frac{\sqrt{2}\, \left(-2 \sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}\, x a +\mathrm{arccosh}\left(a x \right) \pi  \erf \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)+\mathrm{arccosh}\left(a x \right) \pi  \erfi \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{2 \sqrt{\pi}\, a^{2} \mathrm{arccosh}\left(a x \right)}"," ",0,"1/2*2^(1/2)*(-2*2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)*x*a+arccosh(a*x)*Pi*erf(2^(1/2)*arccosh(a*x)^(1/2))+arccosh(a*x)*Pi*erfi(2^(1/2)*arccosh(a*x)^(1/2)))/Pi^(1/2)/a^2/arccosh(a*x)","A"
101,1,66,54,0.209000," ","int(1/arccosh(a*x)^(3/2),x)","\frac{-2 \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}+\mathrm{arccosh}\left(a x \right) \pi  \erf \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)+\mathrm{arccosh}\left(a x \right) \pi  \erfi \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)}{\sqrt{\pi}\, a \,\mathrm{arccosh}\left(a x \right)}"," ",0,"(-2*arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)+arccosh(a*x)*Pi*erf(arccosh(a*x)^(1/2))+arccosh(a*x)*Pi*erfi(arccosh(a*x)^(1/2)))/Pi^(1/2)/a/arccosh(a*x)","A"
102,0,0,12,0.140000," ","int(1/x/arccosh(a*x)^(3/2),x)","\int \frac{1}{x \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/arccosh(a*x)^(3/2),x)","F"
103,-2,0,172,180.000000," ","int(x^4/arccosh(a*x)^(5/2),x)","\int \frac{x^{4}}{\mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^4/arccosh(a*x)^(5/2),x)","F"
104,-2,0,132,180.000000," ","int(x^3/arccosh(a*x)^(5/2),x)","\int \frac{x^{3}}{\mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^3/arccosh(a*x)^(5/2),x)","F"
105,-2,0,126,180.000000," ","int(x^2/arccosh(a*x)^(5/2),x)","\int \frac{x^{2}}{\mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2/arccosh(a*x)^(5/2),x)","F"
106,1,122,93,0.326000," ","int(x/arccosh(a*x)^(5/2),x)","-\frac{\sqrt{2}\, \left(4 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}+\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}\, x a +2 \mathrm{arccosh}\left(a x \right)^{2} \pi  \erf \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)-2 \mathrm{arccosh}\left(a x \right)^{2} \pi  \erfi \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)-2 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\right)}{3 \sqrt{\pi}\, a^{2} \mathrm{arccosh}\left(a x \right)^{2}}"," ",0,"-1/3*2^(1/2)*(4*arccosh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x^2*a^2+2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)*x*a+2*arccosh(a*x)^2*Pi*erf(2^(1/2)*arccosh(a*x)^(1/2))-2*arccosh(a*x)^2*Pi*erfi(2^(1/2)*arccosh(a*x)^(1/2))-2*arccosh(a*x)^(3/2)*2^(1/2)*Pi^(1/2))/Pi^(1/2)/a^2/arccosh(a*x)^2","A"
107,1,84,65,0.204000," ","int(1/arccosh(a*x)^(5/2),x)","-\frac{2 \left(2 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, x a +\sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}+\mathrm{arccosh}\left(a x \right)^{2} \pi  \erf \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)-\mathrm{arccosh}\left(a x \right)^{2} \pi  \erfi \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{3 \sqrt{\pi}\, a \mathrm{arccosh}\left(a x \right)^{2}}"," ",0,"-2/3*(2*arccosh(a*x)^(3/2)*Pi^(1/2)*x*a+arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)+arccosh(a*x)^2*Pi*erf(arccosh(a*x)^(1/2))-arccosh(a*x)^2*Pi*erfi(arccosh(a*x)^(1/2)))/Pi^(1/2)/a/arccosh(a*x)^2","A"
108,0,0,12,0.142000," ","int(1/x/arccosh(a*x)^(5/2),x)","\int \frac{1}{x \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x/arccosh(a*x)^(5/2),x)","F"
109,-2,0,228,180.000000," ","int(x^4/arccosh(a*x)^(7/2),x)","\int \frac{x^{4}}{\mathrm{arccosh}\left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^4/arccosh(a*x)^(7/2),x)","F"
110,-2,0,186,180.000000," ","int(x^3/arccosh(a*x)^(7/2),x)","\int \frac{x^{3}}{\mathrm{arccosh}\left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^3/arccosh(a*x)^(7/2),x)","F"
111,-2,0,179,180.000000," ","int(x^2/arccosh(a*x)^(7/2),x)","\int \frac{x^{2}}{\mathrm{arccosh}\left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^2/arccosh(a*x)^(7/2),x)","F"
112,1,153,119,0.238000," ","int(x/arccosh(a*x)^(7/2),x)","-\frac{\sqrt{2}\, \left(16 \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}\, x a +4 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}+3 \sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}\, x a -2 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}-8 \mathrm{arccosh}\left(a x \right)^{3} \pi  \erf \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)-8 \mathrm{arccosh}\left(a x \right)^{3} \pi  \erfi \left(\sqrt{2}\, \sqrt{\mathrm{arccosh}\left(a x \right)}\right)\right)}{15 \sqrt{\pi}\, a^{2} \mathrm{arccosh}\left(a x \right)^{3}}"," ",0,"-1/15*2^(1/2)*(16*arccosh(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)*x*a+4*arccosh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x^2*a^2+3*2^(1/2)*arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)*x*a-2*arccosh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)-8*arccosh(a*x)^3*Pi*erf(2^(1/2)*arccosh(a*x)^(1/2))-8*arccosh(a*x)^3*Pi*erfi(2^(1/2)*arccosh(a*x)^(1/2)))/Pi^(1/2)/a^2/arccosh(a*x)^3","A"
113,1,111,90,0.210000," ","int(1/arccosh(a*x)^(7/2),x)","\frac{-\frac{8 \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}\, \mathrm{arccosh}\left(a x \right)^{\frac{5}{2}}}{15}+\frac{4 \mathrm{arccosh}\left(a x \right)^{3} \pi  \erf \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)}{15}+\frac{4 \mathrm{arccosh}\left(a x \right)^{3} \pi  \erfi \left(\sqrt{\mathrm{arccosh}\left(a x \right)}\right)}{15}-\frac{4 \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, x a}{15}-\frac{2 \sqrt{\mathrm{arccosh}\left(a x \right)}\, \sqrt{\pi}\, \sqrt{a x +1}\, \sqrt{a x -1}}{5}}{\sqrt{\pi}\, a \mathrm{arccosh}\left(a x \right)^{3}}"," ",0,"2/15*(-4*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2)*arccosh(a*x)^(5/2)+2*arccosh(a*x)^3*Pi*erf(arccosh(a*x)^(1/2))+2*arccosh(a*x)^3*Pi*erfi(arccosh(a*x)^(1/2))-2*arccosh(a*x)^(3/2)*Pi^(1/2)*x*a-3*arccosh(a*x)^(1/2)*Pi^(1/2)*(a*x+1)^(1/2)*(a*x-1)^(1/2))/Pi^(1/2)/a/arccosh(a*x)^3","A"
114,0,0,12,0.145000," ","int(1/x/arccosh(a*x)^(7/2),x)","\int \frac{1}{x \mathrm{arccosh}\left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/x/arccosh(a*x)^(7/2),x)","F"
115,0,0,54,1.004000," ","int(x^m*arccosh(a*x)^4,x)","\int x^{m} \mathrm{arccosh}\left(a x \right)^{4}\, dx"," ",0,"int(x^m*arccosh(a*x)^4,x)","F"
116,0,0,54,0.942000," ","int(x^m*arccosh(a*x)^3,x)","\int x^{m} \mathrm{arccosh}\left(a x \right)^{3}\, dx"," ",0,"int(x^m*arccosh(a*x)^3,x)","F"
117,0,0,132,1.142000," ","int(x^m*arccosh(a*x)^2,x)","\int x^{m} \mathrm{arccosh}\left(a x \right)^{2}\, dx"," ",0,"int(x^m*arccosh(a*x)^2,x)","F"
118,0,0,81,1.043000," ","int(x^m*arccosh(a*x),x)","\int x^{m} \mathrm{arccosh}\left(a x \right)\, dx"," ",0,"int(x^m*arccosh(a*x),x)","F"
119,0,0,12,0.720000," ","int(x^m/arccosh(a*x),x)","\int \frac{x^{m}}{\mathrm{arccosh}\left(a x \right)}\, dx"," ",0,"int(x^m/arccosh(a*x),x)","F"
120,0,0,12,0.873000," ","int(x^m/arccosh(a*x)^2,x)","\int \frac{x^{m}}{\mathrm{arccosh}\left(a x \right)^{2}}\, dx"," ",0,"int(x^m/arccosh(a*x)^2,x)","F"
121,0,0,12,0.721000," ","int(x^m/arccosh(a*x)^3,x)","\int \frac{x^{m}}{\mathrm{arccosh}\left(a x \right)^{3}}\, dx"," ",0,"int(x^m/arccosh(a*x)^3,x)","F"
122,0,0,12,0.141000," ","int(x^m*arccosh(a*x)^(3/2),x)","\int x^{m} \mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^m*arccosh(a*x)^(3/2),x)","F"
123,0,0,12,0.109000," ","int(x^m*arccosh(a*x)^(1/2),x)","\int x^{m} \sqrt{\mathrm{arccosh}\left(a x \right)}\, dx"," ",0,"int(x^m*arccosh(a*x)^(1/2),x)","F"
124,0,0,12,0.115000," ","int(x^m/arccosh(a*x)^(1/2),x)","\int \frac{x^{m}}{\sqrt{\mathrm{arccosh}\left(a x \right)}}\, dx"," ",0,"int(x^m/arccosh(a*x)^(1/2),x)","F"
125,0,0,12,0.114000," ","int(x^m/arccosh(a*x)^(3/2),x)","\int \frac{x^{m}}{\mathrm{arccosh}\left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/arccosh(a*x)^(3/2),x)","F"
126,0,0,14,0.115000," ","int((d*x)^m*arccosh(a*x)^n,x)","\int \left(d x \right)^{m} \mathrm{arccosh}\left(a x \right)^{n}\, dx"," ",0,"int((d*x)^m*arccosh(a*x)^n,x)","F"
127,-2,0,161,180.000000," ","int(x^4*arccosh(a*x)^n,x)","\int x^{4} \mathrm{arccosh}\left(a x \right)^{n}\, dx"," ",0,"int(x^4*arccosh(a*x)^n,x)","F"
128,-2,0,121,180.000000," ","int(x^3*arccosh(a*x)^n,x)","\int x^{3} \mathrm{arccosh}\left(a x \right)^{n}\, dx"," ",0,"int(x^3*arccosh(a*x)^n,x)","F"
129,-2,0,105,180.000000," ","int(x^2*arccosh(a*x)^n,x)","\int x^{2} \mathrm{arccosh}\left(a x \right)^{n}\, dx"," ",0,"int(x^2*arccosh(a*x)^n,x)","F"
130,1,38,59,0.087000," ","int(x*arccosh(a*x)^n,x)","\frac{\mathrm{arccosh}\left(a x \right)^{2+n} \hypergeom \left(\left[1+\frac{n}{2}\right], \left[\frac{3}{2}, 2+\frac{n}{2}\right], \mathrm{arccosh}\left(a x \right)^{2}\right)}{a^{2} \left(2+n \right)}"," ",0,"1/a^2/(2+n)*arccosh(a*x)^(2+n)*hypergeom([1+1/2*n],[3/2,2+1/2*n],arccosh(a*x)^2)","C"
131,1,40,45,0.052000," ","int(arccosh(a*x)^n,x)","\frac{\mathrm{arccosh}\left(a x \right)^{2+n} \hypergeom \left(\left[1+\frac{n}{2}\right], \left[\frac{3}{2}, 2+\frac{n}{2}\right], \frac{\mathrm{arccosh}\left(a x \right)^{2}}{4}\right)}{a \left(2+n \right)}"," ",0,"1/a/(2+n)*arccosh(a*x)^(2+n)*hypergeom([1+1/2*n],[3/2,2+1/2*n],1/4*arccosh(a*x)^2)","C"
132,0,0,12,0.109000," ","int(arccosh(a*x)^n/x,x)","\int \frac{\mathrm{arccosh}\left(a x \right)^{n}}{x}\, dx"," ",0,"int(arccosh(a*x)^n/x,x)","F"
133,1,109,68,0.016000," ","int(x^3*(a+b*arccosh(c*x)),x)","\frac{x^{4} a}{4}+\frac{b \,x^{4} \mathrm{arccosh}\left(c x \right)}{4}-\frac{b \,x^{3} \sqrt{c x -1}\, \sqrt{c x +1}}{16 c}-\frac{3 b x \sqrt{c x -1}\, \sqrt{c x +1}}{32 c^{3}}-\frac{3 b \sqrt{c x -1}\, \sqrt{c x +1}\, \ln \left(c x +\sqrt{c^{2} x^{2}-1}\right)}{32 c^{4} \sqrt{c^{2} x^{2}-1}}"," ",0,"1/4*x^4*a+1/4*b*x^4*arccosh(c*x)-1/16*b*x^3*(c*x-1)^(1/2)*(c*x+1)^(1/2)/c-3/32*b*x*(c*x-1)^(1/2)*(c*x+1)^(1/2)/c^3-3/32/c^4*b*(c*x-1)^(1/2)*(c*x+1)^(1/2)/(c^2*x^2-1)^(1/2)*ln(c*x+(c^2*x^2-1)^(1/2))","A"
134,1,55,57,0.004000," ","int(x^2*(a+b*arccosh(c*x)),x)","\frac{\frac{c^{3} x^{3} a}{3}+b \left(\frac{c^{3} x^{3} \mathrm{arccosh}\left(c x \right)}{3}-\frac{\sqrt{c x -1}\, \sqrt{c x +1}\, \left(c^{2} x^{2}+2\right)}{9}\right)}{c^{3}}"," ",0,"1/c^3*(1/3*c^3*x^3*a+b*(1/3*c^3*x^3*arccosh(c*x)-1/9*(c*x-1)^(1/2)*(c*x+1)^(1/2)*(c^2*x^2+2)))","A"
135,1,86,45,0.004000," ","int(x*(a+b*arccosh(c*x)),x)","\frac{a \,x^{2}}{2}+\frac{b \,x^{2} \mathrm{arccosh}\left(c x \right)}{2}-\frac{b x \sqrt{c x -1}\, \sqrt{c x +1}}{4 c}-\frac{b \sqrt{c x -1}\, \sqrt{c x +1}\, \ln \left(c x +\sqrt{c^{2} x^{2}-1}\right)}{4 c^{2} \sqrt{c^{2} x^{2}-1}}"," ",0,"1/2*a*x^2+1/2*b*x^2*arccosh(c*x)-1/4*b*x*(c*x-1)^(1/2)*(c*x+1)^(1/2)/c-1/4/c^2*b*(c*x-1)^(1/2)*(c*x+1)^(1/2)/(c^2*x^2-1)^(1/2)*ln(c*x+(c^2*x^2-1)^(1/2))","A"
136,1,34,31,0.002000," ","int(a+b*arccosh(c*x),x)","a x +\frac{b \left(c x \,\mathrm{arccosh}\left(c x \right)-\sqrt{c x -1}\, \sqrt{c x +1}\right)}{c}"," ",0,"a*x+b/c*(c*x*arccosh(c*x)-(c*x-1)^(1/2)*(c*x+1)^(1/2))","A"
137,1,75,77,0.070000," ","int((a+b*arccosh(c*x))/x,x)","a \ln \left(c x \right)-\frac{b \mathrm{arccosh}\left(c x \right)^{2}}{2}+b \,\mathrm{arccosh}\left(c x \right) \ln \left(1+\left(c x +\sqrt{c x -1}\, \sqrt{c x +1}\right)^{2}\right)+\frac{b \polylog \left(2, -\left(c x +\sqrt{c x -1}\, \sqrt{c x +1}\right)^{2}\right)}{2}"," ",0,"a*ln(c*x)-1/2*b*arccosh(c*x)^2+b*arccosh(c*x)*ln(1+(c*x+(c*x-1)^(1/2)*(c*x+1)^(1/2))^2)+1/2*b*polylog(2,-(c*x+(c*x-1)^(1/2)*(c*x+1)^(1/2))^2)","A"
138,1,59,35,0.007000," ","int((a+b*arccosh(c*x))/x^2,x)","-\frac{a}{x}-\frac{b \,\mathrm{arccosh}\left(c x \right)}{x}-\frac{c b \sqrt{c x -1}\, \sqrt{c x +1}\, \arctan \left(\frac{1}{\sqrt{c^{2} x^{2}-1}}\right)}{\sqrt{c^{2} x^{2}-1}}"," ",0,"-a/x-b/x*arccosh(c*x)-c*b*(c*x-1)^(1/2)*(c*x+1)^(1/2)/(c^2*x^2-1)^(1/2)*arctan(1/(c^2*x^2-1)^(1/2))","A"
139,1,52,38,0.005000," ","int((a+b*arccosh(c*x))/x^3,x)","c^{2} \left(-\frac{a}{2 c^{2} x^{2}}+b \left(-\frac{\mathrm{arccosh}\left(c x \right)}{2 c^{2} x^{2}}+\frac{\sqrt{c x -1}\, \sqrt{c x +1}}{2 c x}\right)\right)"," ",0,"c^2*(-1/2*a/c^2/x^2+b*(-1/2/c^2/x^2*arccosh(c*x)+1/2*(c*x-1)^(1/2)*(c*x+1)^(1/2)/c/x))","A"
140,1,82,60,0.006000," ","int((a+b*arccosh(c*x))/x^4,x)","-\frac{a}{3 x^{3}}-\frac{b \,\mathrm{arccosh}\left(c x \right)}{3 x^{3}}-\frac{c^{3} b \sqrt{c x -1}\, \sqrt{c x +1}\, \arctan \left(\frac{1}{\sqrt{c^{2} x^{2}-1}}\right)}{6 \sqrt{c^{2} x^{2}-1}}+\frac{b c \sqrt{c x -1}\, \sqrt{c x +1}}{6 x^{2}}"," ",0,"-1/3*a/x^3-1/3*b/x^3*arccosh(c*x)-1/6*c^3*b*(c*x-1)^(1/2)*(c*x+1)^(1/2)/(c^2*x^2-1)^(1/2)*arctan(1/(c^2*x^2-1)^(1/2))+1/6*b*c*(c*x-1)^(1/2)*(c*x+1)^(1/2)/x^2","A"
141,1,62,61,0.005000," ","int((a+b*arccosh(c*x))/x^5,x)","c^{4} \left(-\frac{a}{4 c^{4} x^{4}}+b \left(-\frac{\mathrm{arccosh}\left(c x \right)}{4 c^{4} x^{4}}+\frac{\sqrt{c x -1}\, \sqrt{c x +1}\, \left(2 c^{2} x^{2}+1\right)}{12 c^{3} x^{3}}\right)\right)"," ",0,"c^4*(-1/4*a/c^4/x^4+b*(-1/4/c^4/x^4*arccosh(c*x)+1/12*(c*x-1)^(1/2)*(c*x+1)^(1/2)*(2*c^2*x^2+1)/c^3/x^3))","A"
142,-2,0,162,180.000000," ","int(x^2*(a+b*arccosh(c*x))^(1/2),x)","\int x^{2} \sqrt{a +b \,\mathrm{arccosh}\left(c x \right)}\, dx"," ",0,"int(x^2*(a+b*arccosh(c*x))^(1/2),x)","F"
143,0,0,111,0.169000," ","int(x*(a+b*arccosh(c*x))^(1/2),x)","\int x \sqrt{a +b \,\mathrm{arccosh}\left(c x \right)}\, dx"," ",0,"int(x*(a+b*arccosh(c*x))^(1/2),x)","F"
144,0,0,79,0.095000," ","int((a+b*arccosh(c*x))^(1/2),x)","\int \sqrt{a +b \,\mathrm{arccosh}\left(c x \right)}\, dx"," ",0,"int((a+b*arccosh(c*x))^(1/2),x)","F"
145,-2,0,225,180.000000," ","int(x^2*(a+b*arccosh(c*x))^(3/2),x)","\int x^{2} \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^2*(a+b*arccosh(c*x))^(3/2),x)","F"
146,0,0,142,0.158000," ","int(x*(a+b*arccosh(c*x))^(3/2),x)","\int x \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x*(a+b*arccosh(c*x))^(3/2),x)","F"
147,0,0,109,0.099000," ","int((a+b*arccosh(c*x))^(3/2),x)","\int \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+b*arccosh(c*x))^(3/2),x)","F"
148,-2,0,262,180.000000," ","int(x^2*(a+b*arccosh(c*x))^(5/2),x)","\int x^{2} \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int(x^2*(a+b*arccosh(c*x))^(5/2),x)","F"
149,0,0,178,0.156000," ","int(x*(a+b*arccosh(c*x))^(5/2),x)","\int x \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int(x*(a+b*arccosh(c*x))^(5/2),x)","F"
150,0,0,125,0.095000," ","int((a+b*arccosh(c*x))^(5/2),x)","\int \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+b*arccosh(c*x))^(5/2),x)","F"
151,-2,0,147,180.000000," ","int(x^2/(a+b*arccosh(c*x))^(1/2),x)","\int \frac{x^{2}}{\sqrt{a +b \,\mathrm{arccosh}\left(c x \right)}}\, dx"," ",0,"int(x^2/(a+b*arccosh(c*x))^(1/2),x)","F"
152,0,0,81,0.161000," ","int(x/(a+b*arccosh(c*x))^(1/2),x)","\int \frac{x}{\sqrt{a +b \,\mathrm{arccosh}\left(c x \right)}}\, dx"," ",0,"int(x/(a+b*arccosh(c*x))^(1/2),x)","F"
153,0,0,67,0.096000," ","int(1/(a+b*arccosh(c*x))^(1/2),x)","\int \frac{1}{\sqrt{a +b \,\mathrm{arccosh}\left(c x \right)}}\, dx"," ",0,"int(1/(a+b*arccosh(c*x))^(1/2),x)","F"
154,-2,0,182,180.000000," ","int(x^2/(a+b*arccosh(c*x))^(3/2),x)","\int \frac{x^{2}}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/(a+b*arccosh(c*x))^(3/2),x)","F"
155,0,0,114,0.138000," ","int(x/(a+b*arccosh(c*x))^(3/2),x)","\int \frac{x}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x/(a+b*arccosh(c*x))^(3/2),x)","F"
156,0,0,97,0.095000," ","int(1/(a+b*arccosh(c*x))^(3/2),x)","\int \frac{1}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+b*arccosh(c*x))^(3/2),x)","F"
157,-2,0,219,180.000000," ","int(x^2/(a+b*arccosh(c*x))^(5/2),x)","\int \frac{x^{2}}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2/(a+b*arccosh(c*x))^(5/2),x)","F"
158,0,0,150,0.135000," ","int(x/(a+b*arccosh(c*x))^(5/2),x)","\int \frac{x}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x/(a+b*arccosh(c*x))^(5/2),x)","F"
159,0,0,115,0.100000," ","int(1/(a+b*arccosh(c*x))^(5/2),x)","\int \frac{1}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a+b*arccosh(c*x))^(5/2),x)","F"
160,-2,0,286,180.000000," ","int(x^2/(a+b*arccosh(c*x))^(7/2),x)","\int \frac{x^{2}}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^2/(a+b*arccosh(c*x))^(7/2),x)","F"
161,0,0,183,0.135000," ","int(x/(a+b*arccosh(c*x))^(7/2),x)","\int \frac{x}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(x/(a+b*arccosh(c*x))^(7/2),x)","F"
162,0,0,147,0.099000," ","int(1/(a+b*arccosh(c*x))^(7/2),x)","\int \frac{1}{\left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(a+b*arccosh(c*x))^(7/2),x)","F"
163,-2,0,100,180.000000," ","int((a+b*arccosh(c*x))^2*(f*x)^(1/2),x)","\int \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{2} \sqrt{f x}\, dx"," ",0,"int((a+b*arccosh(c*x))^2*(f*x)^(1/2),x)","F"
164,0,0,159,3.194000," ","int((d*x)^m*(a+b*arccosh(c*x))^2,x)","\int \left(d x \right)^{m} \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)^{2}\, dx"," ",0,"int((d*x)^m*(a+b*arccosh(c*x))^2,x)","F"
165,0,0,96,2.961000," ","int((d*x)^m*(a+b*arccosh(c*x)),x)","\int \left(d x \right)^{m} \left(a +b \,\mathrm{arccosh}\left(c x \right)\right)\, dx"," ",0,"int((d*x)^m*(a+b*arccosh(c*x)),x)","F"
166,0,0,18,1.181000," ","int((d*x)^m/(a+b*arccosh(c*x)),x)","\int \frac{\left(d x \right)^{m}}{a +b \,\mathrm{arccosh}\left(c x \right)}\, dx"," ",0,"int((d*x)^m/(a+b*arccosh(c*x)),x)","F"