1,1,69,58,0.025000," ","int(x^4*arcsinh(a*x),x)","\frac{\frac{a^{5} x^{5} \arcsinh \left(a x \right)}{5}-\frac{a^{4} x^{4} \sqrt{a^{2} x^{2}+1}}{25}+\frac{4 a^{2} x^{2} \sqrt{a^{2} x^{2}+1}}{75}-\frac{8 \sqrt{a^{2} x^{2}+1}}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arcsinh(a*x)-1/25*a^4*x^4*(a^2*x^2+1)^(1/2)+4/75*a^2*x^2*(a^2*x^2+1)^(1/2)-8/75*(a^2*x^2+1)^(1/2))","A"
2,1,58,55,0.021000," ","int(x^3*arcsinh(a*x),x)","\frac{\frac{a^{4} x^{4} \arcsinh \left(a x \right)}{4}-\frac{a^{3} x^{3} \sqrt{a^{2} x^{2}+1}}{16}+\frac{3 a x \sqrt{a^{2} x^{2}+1}}{32}-\frac{3 \arcsinh \left(a x \right)}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arcsinh(a*x)-1/16*a^3*x^3*(a^2*x^2+1)^(1/2)+3/32*a*x*(a^2*x^2+1)^(1/2)-3/32*arcsinh(a*x))","A"
3,1,50,42,0.021000," ","int(x^2*arcsinh(a*x),x)","\frac{\frac{a^{3} x^{3} \arcsinh \left(a x \right)}{3}-\frac{a^{2} x^{2} \sqrt{a^{2} x^{2}+1}}{9}+\frac{2 \sqrt{a^{2} x^{2}+1}}{9}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arcsinh(a*x)-1/9*a^2*x^2*(a^2*x^2+1)^(1/2)+2/9*(a^2*x^2+1)^(1/2))","A"
4,1,39,36,0.020000," ","int(x*arcsinh(a*x),x)","\frac{\frac{a^{2} x^{2} \arcsinh \left(a x \right)}{2}-\frac{a x \sqrt{a^{2} x^{2}+1}}{4}+\frac{\arcsinh \left(a x \right)}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*a^2*x^2*arcsinh(a*x)-1/4*a*x*(a^2*x^2+1)^(1/2)+1/4*arcsinh(a*x))","A"
5,1,26,23,0.018000," ","int(arcsinh(a*x),x)","\frac{a x \arcsinh \left(a x \right)-\sqrt{a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arcsinh(a*x)-(a^2*x^2+1)^(1/2))","A"
6,1,94,57,0.171000," ","int(arcsinh(a*x)/x,x)","-\frac{\arcsinh \left(a x \right)^{2}}{2}+\arcsinh \left(a x \right) \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+\polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)+\arcsinh \left(a x \right) \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)+\polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-1/2*arcsinh(a*x)^2+arcsinh(a*x)*ln(1-a*x-(a^2*x^2+1)^(1/2))+polylog(2,a*x+(a^2*x^2+1)^(1/2))+arcsinh(a*x)*ln(a*x+(a^2*x^2+1)^(1/2)+1)+polylog(2,-a*x-(a^2*x^2+1)^(1/2))","A"
7,1,30,25,0.022000," ","int(arcsinh(a*x)/x^2,x)","a \left(-\frac{\arcsinh \left(a x \right)}{a x}-\arctanh \left(\frac{1}{\sqrt{a^{2} x^{2}+1}}\right)\right)"," ",0,"a*(-arcsinh(a*x)/a/x-arctanh(1/(a^2*x^2+1)^(1/2)))","A"
8,1,37,27,0.024000," ","int(arcsinh(a*x)/x^3,x)","a^{2} \left(-\frac{\arcsinh \left(a x \right)}{2 a^{2} x^{2}}-\frac{\sqrt{a^{2} x^{2}+1}}{2 a x}\right)"," ",0,"a^2*(-1/2*arcsinh(a*x)/a^2/x^2-1/2/a/x*(a^2*x^2+1)^(1/2))","A"
9,1,51,44,0.020000," ","int(arcsinh(a*x)/x^4,x)","a^{3} \left(-\frac{\arcsinh \left(a x \right)}{3 a^{3} x^{3}}-\frac{\sqrt{a^{2} x^{2}+1}}{6 a^{2} x^{2}}+\frac{\arctanh \left(\frac{1}{\sqrt{a^{2} x^{2}+1}}\right)}{6}\right)"," ",0,"a^3*(-1/3*arcsinh(a*x)/a^3/x^3-1/6/a^2/x^2*(a^2*x^2+1)^(1/2)+1/6*arctanh(1/(a^2*x^2+1)^(1/2)))","A"
10,1,56,46,0.022000," ","int(arcsinh(a*x)/x^5,x)","a^{4} \left(-\frac{\arcsinh \left(a x \right)}{4 a^{4} x^{4}}-\frac{\sqrt{a^{2} x^{2}+1}}{12 a^{3} x^{3}}+\frac{\sqrt{a^{2} x^{2}+1}}{6 a x}\right)"," ",0,"a^4*(-1/4*arcsinh(a*x)/a^4/x^4-1/12/a^3/x^3*(a^2*x^2+1)^(1/2)+1/6/a/x*(a^2*x^2+1)^(1/2))","A"
11,1,70,63,0.029000," ","int(arcsinh(a*x)/x^6,x)","a^{5} \left(-\frac{\arcsinh \left(a x \right)}{5 a^{5} x^{5}}-\frac{\sqrt{a^{2} x^{2}+1}}{20 a^{4} x^{4}}+\frac{3 \sqrt{a^{2} x^{2}+1}}{40 a^{2} x^{2}}-\frac{3 \arctanh \left(\frac{1}{\sqrt{a^{2} x^{2}+1}}\right)}{40}\right)"," ",0,"a^5*(-1/5*arcsinh(a*x)/a^5/x^5-1/20/a^4/x^4*(a^2*x^2+1)^(1/2)+3/40/a^2/x^2*(a^2*x^2+1)^(1/2)-3/40*arctanh(1/(a^2*x^2+1)^(1/2)))","A"
12,1,103,97,0.382000," ","int(x^4*arcsinh(a*x)^2,x)","\frac{\frac{a^{5} x^{5} \arcsinh \left(a x \right)^{2}}{5}-\frac{16 \sqrt{a^{2} x^{2}+1}\, \arcsinh \left(a x \right)}{75}-\frac{2 a^{4} x^{4} \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{25}+\frac{8 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a^{2} x^{2}}{75}+\frac{16 a x}{75}+\frac{2 a^{5} x^{5}}{125}-\frac{8 a^{3} x^{3}}{225}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arcsinh(a*x)^2-16/75*(a^2*x^2+1)^(1/2)*arcsinh(a*x)-2/25*a^4*x^4*arcsinh(a*x)*(a^2*x^2+1)^(1/2)+8/75*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a^2*x^2+16/75*a*x+2/125*a^5*x^5-8/225*a^3*x^3)","A"
13,1,87,80,0.376000," ","int(x^3*arcsinh(a*x)^2,x)","\frac{\frac{a^{4} x^{4} \arcsinh \left(a x \right)^{2}}{4}-\frac{a^{3} x^{3} \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{8}+\frac{3 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a x}{16}-\frac{3 \arcsinh \left(a x \right)^{2}}{32}+\frac{a^{4} x^{4}}{32}-\frac{3 a^{2} x^{2}}{32}-\frac{3}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arcsinh(a*x)^2-1/8*a^3*x^3*arcsinh(a*x)*(a^2*x^2+1)^(1/2)+3/16*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a*x-3/32*arcsinh(a*x)^2+1/32*a^4*x^4-3/32*a^2*x^2-3/32)","A"
14,1,72,66,0.375000," ","int(x^2*arcsinh(a*x)^2,x)","\frac{\frac{a^{3} x^{3} \arcsinh \left(a x \right)^{2}}{3}+\frac{4 \sqrt{a^{2} x^{2}+1}\, \arcsinh \left(a x \right)}{9}-\frac{2 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a^{2} x^{2}}{9}-\frac{4 a x}{9}+\frac{2 a^{3} x^{3}}{27}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arcsinh(a*x)^2+4/9*(a^2*x^2+1)^(1/2)*arcsinh(a*x)-2/9*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a^2*x^2-4/9*a*x+2/27*a^3*x^3)","A"
15,1,59,49,0.079000," ","int(x*arcsinh(a*x)^2,x)","\frac{\frac{\left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)^{2}}{2}-\frac{\arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a x}{2}-\frac{\arcsinh \left(a x \right)^{2}}{4}+\frac{a^{2} x^{2}}{4}+\frac{1}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*(a^2*x^2+1)*arcsinh(a*x)^2-1/2*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a*x-1/4*arcsinh(a*x)^2+1/4*a^2*x^2+1/4)","A"
16,1,36,32,0.093000," ","int(arcsinh(a*x)^2,x)","\frac{a x \arcsinh \left(a x \right)^{2}-2 \sqrt{a^{2} x^{2}+1}\, \arcsinh \left(a x \right)+2 a x}{a}"," ",0,"1/a*(a*x*arcsinh(a*x)^2-2*(a^2*x^2+1)^(1/2)*arcsinh(a*x)+2*a*x)","A"
17,1,151,83,0.171000," ","int(arcsinh(a*x)^2/x,x)","-\frac{\arcsinh \left(a x \right)^{3}}{3}+\arcsinh \left(a x \right)^{2} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+2 \arcsinh \left(a x \right) \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-2 \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)+\arcsinh \left(a x \right)^{2} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)+2 \arcsinh \left(a x \right) \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)-2 \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-1/3*arcsinh(a*x)^3+arcsinh(a*x)^2*ln(1-a*x-(a^2*x^2+1)^(1/2))+2*arcsinh(a*x)*polylog(2,a*x+(a^2*x^2+1)^(1/2))-2*polylog(3,a*x+(a^2*x^2+1)^(1/2))+arcsinh(a*x)^2*ln(a*x+(a^2*x^2+1)^(1/2)+1)+2*arcsinh(a*x)*polylog(2,-a*x-(a^2*x^2+1)^(1/2))-2*polylog(3,-a*x-(a^2*x^2+1)^(1/2))","A"
18,1,107,78,0.237000," ","int(arcsinh(a*x)^2/x^2,x)","-\frac{\arcsinh \left(a x \right)^{2}}{x}+2 a \arcsinh \left(a x \right) \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+2 a \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-2 a \arcsinh \left(a x \right) \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)-2 a \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-arcsinh(a*x)^2/x+2*a*arcsinh(a*x)*ln(1-a*x-(a^2*x^2+1)^(1/2))+2*a*polylog(2,a*x+(a^2*x^2+1)^(1/2))-2*a*arcsinh(a*x)*ln(a*x+(a^2*x^2+1)^(1/2)+1)-2*a*polylog(2,-a*x-(a^2*x^2+1)^(1/2))","A"
19,1,67,39,0.360000," ","int(arcsinh(a*x)^2/x^3,x)","-a^{2} \arcsinh \left(a x \right)-\frac{a \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{x}-\frac{\arcsinh \left(a x \right)^{2}}{2 x^{2}}+a^{2} \ln \left(\left(a x +\sqrt{a^{2} x^{2}+1}\right)^{2}-1\right)"," ",0,"-a^2*arcsinh(a*x)-a*arcsinh(a*x)*(a^2*x^2+1)^(1/2)/x-1/2*arcsinh(a*x)^2/x^2+a^2*ln((a*x+(a^2*x^2+1)^(1/2))^2-1)","A"
20,1,144,113,0.478000," ","int(arcsinh(a*x)^2/x^4,x)","-\frac{a \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{3 x^{2}}-\frac{a^{2}}{3 x}-\frac{\arcsinh \left(a x \right)^{2}}{3 x^{3}}-\frac{a^{3} \arcsinh \left(a x \right) \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)}{3}-\frac{a^{3} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)}{3}+\frac{a^{3} \arcsinh \left(a x \right) \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)}{3}+\frac{a^{3} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)}{3}"," ",0,"-1/3*a*arcsinh(a*x)*(a^2*x^2+1)^(1/2)/x^2-1/3*a^2/x-1/3*arcsinh(a*x)^2/x^3-1/3*a^3*arcsinh(a*x)*ln(1-a*x-(a^2*x^2+1)^(1/2))-1/3*a^3*polylog(2,a*x+(a^2*x^2+1)^(1/2))+1/3*a^3*arcsinh(a*x)*ln(a*x+(a^2*x^2+1)^(1/2)+1)+1/3*a^3*polylog(2,-a*x-(a^2*x^2+1)^(1/2))","A"
21,1,99,71,0.451000," ","int(arcsinh(a*x)^2/x^5,x)","\frac{a^{4} \arcsinh \left(a x \right)}{3}+\frac{a^{3} \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{3 x}-\frac{a \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{6 x^{3}}-\frac{a^{2}}{12 x^{2}}-\frac{\arcsinh \left(a x \right)^{2}}{4 x^{4}}-\frac{a^{4} \ln \left(\left(a x +\sqrt{a^{2} x^{2}+1}\right)^{2}-1\right)}{3}"," ",0,"1/3*a^4*arcsinh(a*x)+1/3*a^3*arcsinh(a*x)*(a^2*x^2+1)^(1/2)/x-1/6*a*arcsinh(a*x)*(a^2*x^2+1)^(1/2)/x^3-1/12*a^2/x^2-1/4*arcsinh(a*x)^2/x^4-1/3*a^4*ln((a*x+(a^2*x^2+1)^(1/2))^2-1)","A"
22,1,172,163,0.484000," ","int(x^4*arcsinh(a*x)^3,x)","\frac{\frac{a^{5} x^{5} \arcsinh \left(a x \right)^{3}}{5}-\frac{8 \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{25}-\frac{3 a^{4} x^{4} \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{25}+\frac{4 \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}\, a^{2} x^{2}}{25}+\frac{16 a x \arcsinh \left(a x \right)}{25}-\frac{4144 \sqrt{a^{2} x^{2}+1}}{5625}+\frac{6 a^{5} x^{5} \arcsinh \left(a x \right)}{125}-\frac{6 a^{4} x^{4} \sqrt{a^{2} x^{2}+1}}{625}+\frac{272 a^{2} x^{2} \sqrt{a^{2} x^{2}+1}}{5625}-\frac{8 a^{3} x^{3} \arcsinh \left(a x \right)}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arcsinh(a*x)^3-8/25*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)-3/25*a^4*x^4*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)+4/25*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)*a^2*x^2+16/25*a*x*arcsinh(a*x)-4144/5625*(a^2*x^2+1)^(1/2)+6/125*a^5*x^5*arcsinh(a*x)-6/625*a^4*x^4*(a^2*x^2+1)^(1/2)+272/5625*a^2*x^2*(a^2*x^2+1)^(1/2)-8/75*a^3*x^3*arcsinh(a*x))","A"
23,1,141,137,0.382000," ","int(x^3*arcsinh(a*x)^3,x)","\frac{\frac{a^{4} x^{4} \arcsinh \left(a x \right)^{3}}{4}-\frac{3 a^{3} x^{3} \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{16}+\frac{9 a x \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{32}-\frac{3 \arcsinh \left(a x \right)^{3}}{32}+\frac{3 \arcsinh \left(a x \right) a^{4} x^{4}}{32}-\frac{3 a^{3} x^{3} \sqrt{a^{2} x^{2}+1}}{128}+\frac{45 a x \sqrt{a^{2} x^{2}+1}}{256}+\frac{27 \arcsinh \left(a x \right)}{256}-\frac{9 \left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)}{32}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arcsinh(a*x)^3-3/16*a^3*x^3*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)+9/32*a*x*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)-3/32*arcsinh(a*x)^3+3/32*arcsinh(a*x)*a^4*x^4-3/128*a^3*x^3*(a^2*x^2+1)^(1/2)+45/256*a*x*(a^2*x^2+1)^(1/2)+27/256*arcsinh(a*x)-9/32*(a^2*x^2+1)*arcsinh(a*x))","A"
24,1,116,110,0.379000," ","int(x^2*arcsinh(a*x)^3,x)","\frac{\frac{a^{3} x^{3} \arcsinh \left(a x \right)^{3}}{3}+\frac{2 \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{3}-\frac{\arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}\, a^{2} x^{2}}{3}-\frac{4 a x \arcsinh \left(a x \right)}{3}+\frac{40 \sqrt{a^{2} x^{2}+1}}{27}+\frac{2 a^{3} x^{3} \arcsinh \left(a x \right)}{9}-\frac{2 a^{2} x^{2} \sqrt{a^{2} x^{2}+1}}{27}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arcsinh(a*x)^3+2/3*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)-1/3*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)*a^2*x^2-4/3*a*x*arcsinh(a*x)+40/27*(a^2*x^2+1)^(1/2)+2/9*a^3*x^3*arcsinh(a*x)-2/27*a^2*x^2*(a^2*x^2+1)^(1/2))","A"
25,1,88,81,0.081000," ","int(x*arcsinh(a*x)^3,x)","\frac{\frac{\left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)^{3}}{2}-\frac{3 a x \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{4}-\frac{\arcsinh \left(a x \right)^{3}}{4}+\frac{3 \left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)}{4}-\frac{3 a x \sqrt{a^{2} x^{2}+1}}{8}-\frac{3 \arcsinh \left(a x \right)}{8}}{a^{2}}"," ",0,"1/a^2*(1/2*(a^2*x^2+1)*arcsinh(a*x)^3-3/4*a*x*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)-1/4*arcsinh(a*x)^3+3/4*(a^2*x^2+1)*arcsinh(a*x)-3/8*a*x*(a^2*x^2+1)^(1/2)-3/8*arcsinh(a*x))","A"
26,1,55,54,0.099000," ","int(arcsinh(a*x)^3,x)","\frac{a x \arcsinh \left(a x \right)^{3}-3 \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}+6 a x \arcsinh \left(a x \right)-6 \sqrt{a^{2} x^{2}+1}}{a}"," ",0,"1/a*(a*x*arcsinh(a*x)^3-3*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)+6*a*x*arcsinh(a*x)-6*(a^2*x^2+1)^(1/2))","A"
27,1,204,111,0.161000," ","int(arcsinh(a*x)^3/x,x)","-\frac{\arcsinh \left(a x \right)^{4}}{4}+\arcsinh \left(a x \right)^{3} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+3 \arcsinh \left(a x \right)^{2} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-6 \arcsinh \left(a x \right) \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)+6 \polylog \left(4, a x +\sqrt{a^{2} x^{2}+1}\right)+\arcsinh \left(a x \right)^{3} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)+3 \arcsinh \left(a x \right)^{2} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)-6 \arcsinh \left(a x \right) \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)+6 \polylog \left(4, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-1/4*arcsinh(a*x)^4+arcsinh(a*x)^3*ln(1-a*x-(a^2*x^2+1)^(1/2))+3*arcsinh(a*x)^2*polylog(2,a*x+(a^2*x^2+1)^(1/2))-6*arcsinh(a*x)*polylog(3,a*x+(a^2*x^2+1)^(1/2))+6*polylog(4,a*x+(a^2*x^2+1)^(1/2))+arcsinh(a*x)^3*ln(a*x+(a^2*x^2+1)^(1/2)+1)+3*arcsinh(a*x)^2*polylog(2,-a*x-(a^2*x^2+1)^(1/2))-6*arcsinh(a*x)*polylog(3,-a*x-(a^2*x^2+1)^(1/2))+6*polylog(4,-a*x-(a^2*x^2+1)^(1/2))","A"
28,1,162,131,0.231000," ","int(arcsinh(a*x)^3/x^2,x)","-\frac{\arcsinh \left(a x \right)^{3}}{x}+3 a \arcsinh \left(a x \right)^{2} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+6 a \arcsinh \left(a x \right) \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-6 a \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)-3 a \arcsinh \left(a x \right)^{2} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)-6 a \arcsinh \left(a x \right) \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)+6 a \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-arcsinh(a*x)^3/x+3*a*arcsinh(a*x)^2*ln(1-a*x-(a^2*x^2+1)^(1/2))+6*a*arcsinh(a*x)*polylog(2,a*x+(a^2*x^2+1)^(1/2))-6*a*polylog(3,a*x+(a^2*x^2+1)^(1/2))-3*a*arcsinh(a*x)^2*ln(a*x+(a^2*x^2+1)^(1/2)+1)-6*a*arcsinh(a*x)*polylog(2,-a*x-(a^2*x^2+1)^(1/2))+6*a*polylog(3,-a*x-(a^2*x^2+1)^(1/2))","A"
29,1,149,101,0.366000," ","int(arcsinh(a*x)^3/x^3,x)","-\frac{3 a^{2} \arcsinh \left(a x \right)^{2}}{2}-\frac{3 a \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{2 x}-\frac{\arcsinh \left(a x \right)^{3}}{2 x^{2}}+3 a^{2} \arcsinh \left(a x \right) \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+3 a^{2} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)+3 a^{2} \arcsinh \left(a x \right) \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)+3 a^{2} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-3/2*a^2*arcsinh(a*x)^2-3/2*a*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)/x-1/2*arcsinh(a*x)^3/x^2+3*a^2*arcsinh(a*x)*ln(1-a*x-(a^2*x^2+1)^(1/2))+3*a^2*polylog(2,a*x+(a^2*x^2+1)^(1/2))+3*a^2*arcsinh(a*x)*ln(a*x+(a^2*x^2+1)^(1/2)+1)+3*a^2*polylog(2,-a*x-(a^2*x^2+1)^(1/2))","A"
30,1,228,190,0.540000," ","int(arcsinh(a*x)^3/x^4,x)","-\frac{a \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{2 x^{2}}-\frac{a^{2} \arcsinh \left(a x \right)}{x}-\frac{\arcsinh \left(a x \right)^{3}}{3 x^{3}}-\frac{a^{3} \arcsinh \left(a x \right)^{2} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)}{2}-a^{3} \arcsinh \left(a x \right) \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)+a^{3} \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)+\frac{a^{3} \arcsinh \left(a x \right)^{2} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)}{2}+a^{3} \arcsinh \left(a x \right) \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)-a^{3} \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)-2 a^{3} \arctanh \left(a x +\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-1/2*a*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)/x^2-a^2*arcsinh(a*x)/x-1/3*arcsinh(a*x)^3/x^3-1/2*a^3*arcsinh(a*x)^2*ln(1-a*x-(a^2*x^2+1)^(1/2))-a^3*arcsinh(a*x)*polylog(2,a*x+(a^2*x^2+1)^(1/2))+a^3*polylog(3,a*x+(a^2*x^2+1)^(1/2))+1/2*a^3*arcsinh(a*x)^2*ln(a*x+(a^2*x^2+1)^(1/2)+1)+a^3*arcsinh(a*x)*polylog(2,-a*x-(a^2*x^2+1)^(1/2))-a^3*polylog(3,-a*x-(a^2*x^2+1)^(1/2))-2*a^3*arctanh(a*x+(a^2*x^2+1)^(1/2))","A"
31,1,210,157,0.467000," ","int(arcsinh(a*x)^3/x^5,x)","\frac{a^{4} \arcsinh \left(a x \right)^{2}}{2}+\frac{a^{3} \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{2 x}+\frac{a^{4}}{4}-\frac{a^{3} \sqrt{a^{2} x^{2}+1}}{4 x}-\frac{a \arcsinh \left(a x \right)^{2} \sqrt{a^{2} x^{2}+1}}{4 x^{3}}-\frac{a^{2} \arcsinh \left(a x \right)}{4 x^{2}}-\frac{\arcsinh \left(a x \right)^{3}}{4 x^{4}}-a^{4} \arcsinh \left(a x \right) \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)-a^{4} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-a^{4} \arcsinh \left(a x \right) \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)-a^{4} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"1/2*a^4*arcsinh(a*x)^2+1/2*a^3*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)/x+1/4*a^4-1/4*a^3*(a^2*x^2+1)^(1/2)/x-1/4*a*arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)/x^3-1/4*a^2*arcsinh(a*x)/x^2-1/4*arcsinh(a*x)^3/x^4-a^4*arcsinh(a*x)*ln(1-a*x-(a^2*x^2+1)^(1/2))-a^4*polylog(2,a*x+(a^2*x^2+1)^(1/2))-a^4*arcsinh(a*x)*ln(a*x+(a^2*x^2+1)^(1/2)+1)-a^4*polylog(2,-a*x-(a^2*x^2+1)^(1/2))","A"
32,1,242,234,0.482000," ","int(x^5*arcsinh(a*x)^4,x)","\frac{\frac{a^{6} x^{6} \arcsinh \left(a x \right)^{4}}{6}-\frac{a^{5} x^{5} \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{9}+\frac{5 a^{3} x^{3} \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{36}-\frac{5 a x \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{24}+\frac{5 \arcsinh \left(a x \right)^{4}}{96}+\frac{\arcsinh \left(a x \right)^{2} a^{6} x^{6}}{18}-\frac{\arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a^{5} x^{5}}{54}+\frac{65 a^{3} x^{3} \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{864}-\frac{245 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a x}{576}-\frac{115 \arcsinh \left(a x \right)^{2}}{1152}+\frac{a^{6} x^{6}}{324}-\frac{65 a^{4} x^{4}}{3456}+\frac{245 a^{2} x^{2}}{1152}+\frac{245}{1152}-\frac{5 a^{4} x^{4} \arcsinh \left(a x \right)^{2}}{48}+\frac{5 \left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)^{2}}{16}}{a^{6}}"," ",0,"1/a^6*(1/6*a^6*x^6*arcsinh(a*x)^4-1/9*a^5*x^5*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)+5/36*a^3*x^3*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-5/24*a*x*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)+5/96*arcsinh(a*x)^4+1/18*arcsinh(a*x)^2*a^6*x^6-1/54*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a^5*x^5+65/864*a^3*x^3*arcsinh(a*x)*(a^2*x^2+1)^(1/2)-245/576*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a*x-115/1152*arcsinh(a*x)^2+1/324*a^6*x^6-65/3456*a^4*x^4+245/1152*a^2*x^2+245/1152-5/48*a^4*x^4*arcsinh(a*x)^2+5/16*(a^2*x^2+1)*arcsinh(a*x)^2)","A"
33,1,210,206,0.480000," ","int(x^4*arcsinh(a*x)^4,x)","\frac{\frac{a^{5} x^{5} \arcsinh \left(a x \right)^{4}}{5}-\frac{32 \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{75}-\frac{4 a^{4} x^{4} \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{25}+\frac{16 a^{2} x^{2} \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{75}+\frac{32 a x \arcsinh \left(a x \right)^{2}}{25}-\frac{16576 \sqrt{a^{2} x^{2}+1}\, \arcsinh \left(a x \right)}{5625}+\frac{16576 a x}{5625}+\frac{12 a^{5} x^{5} \arcsinh \left(a x \right)^{2}}{125}-\frac{24 a^{4} x^{4} \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{625}+\frac{1088 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a^{2} x^{2}}{5625}+\frac{24 a^{5} x^{5}}{3125}-\frac{1088 a^{3} x^{3}}{16875}-\frac{16 a^{3} x^{3} \arcsinh \left(a x \right)^{2}}{75}}{a^{5}}"," ",0,"1/a^5*(1/5*a^5*x^5*arcsinh(a*x)^4-32/75*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-4/25*a^4*x^4*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)+16/75*a^2*x^2*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)+32/25*a*x*arcsinh(a*x)^2-16576/5625*(a^2*x^2+1)^(1/2)*arcsinh(a*x)+16576/5625*a*x+12/125*a^5*x^5*arcsinh(a*x)^2-24/625*a^4*x^4*arcsinh(a*x)*(a^2*x^2+1)^(1/2)+1088/5625*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a^2*x^2+24/3125*a^5*x^5-1088/16875*a^3*x^3-16/75*a^3*x^3*arcsinh(a*x)^2)","A"
34,1,172,164,0.385000," ","int(x^3*arcsinh(a*x)^4,x)","\frac{\frac{a^{4} x^{4} \arcsinh \left(a x \right)^{4}}{4}-\frac{a^{3} x^{3} \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{4}+\frac{3 a x \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{8}-\frac{3 \arcsinh \left(a x \right)^{4}}{32}+\frac{3 a^{4} x^{4} \arcsinh \left(a x \right)^{2}}{16}-\frac{3 a^{3} x^{3} \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}}{32}+\frac{45 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a x}{64}+\frac{27 \arcsinh \left(a x \right)^{2}}{128}+\frac{3 a^{4} x^{4}}{128}-\frac{45 a^{2} x^{2}}{128}-\frac{45}{128}-\frac{9 \left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)^{2}}{16}}{a^{4}}"," ",0,"1/a^4*(1/4*a^4*x^4*arcsinh(a*x)^4-1/4*a^3*x^3*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)+3/8*a*x*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-3/32*arcsinh(a*x)^4+3/16*a^4*x^4*arcsinh(a*x)^2-3/32*a^3*x^3*arcsinh(a*x)*(a^2*x^2+1)^(1/2)+45/64*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a*x+27/128*arcsinh(a*x)^2+3/128*a^4*x^4-45/128*a^2*x^2-45/128-9/16*(a^2*x^2+1)*arcsinh(a*x)^2)","A"
35,1,140,136,0.380000," ","int(x^2*arcsinh(a*x)^4,x)","\frac{\frac{a^{3} x^{3} \arcsinh \left(a x \right)^{4}}{3}+\frac{8 \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{9}-\frac{4 a^{2} x^{2} \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{9}-\frac{8 a x \arcsinh \left(a x \right)^{2}}{3}+\frac{160 \sqrt{a^{2} x^{2}+1}\, \arcsinh \left(a x \right)}{27}-\frac{160 a x}{27}+\frac{4 a^{3} x^{3} \arcsinh \left(a x \right)^{2}}{9}-\frac{8 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a^{2} x^{2}}{27}+\frac{8 a^{3} x^{3}}{81}}{a^{3}}"," ",0,"1/a^3*(1/3*a^3*x^3*arcsinh(a*x)^4+8/9*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-4/9*a^2*x^2*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-8/3*a*x*arcsinh(a*x)^2+160/27*(a^2*x^2+1)^(1/2)*arcsinh(a*x)-160/27*a*x+4/9*a^3*x^3*arcsinh(a*x)^2-8/27*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a^2*x^2+8/81*a^3*x^3)","A"
36,1,105,94,0.095000," ","int(x*arcsinh(a*x)^4,x)","\frac{\frac{\left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)^{4}}{2}-a x \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}-\frac{\arcsinh \left(a x \right)^{4}}{4}+\frac{3 \left(a^{2} x^{2}+1\right) \arcsinh \left(a x \right)^{2}}{2}-\frac{3 \arcsinh \left(a x \right) \sqrt{a^{2} x^{2}+1}\, a x}{2}-\frac{3 \arcsinh \left(a x \right)^{2}}{4}+\frac{3 a^{2} x^{2}}{4}+\frac{3}{4}}{a^{2}}"," ",0,"1/a^2*(1/2*(a^2*x^2+1)*arcsinh(a*x)^4-a*x*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-1/4*arcsinh(a*x)^4+3/2*(a^2*x^2+1)*arcsinh(a*x)^2-3/2*arcsinh(a*x)*(a^2*x^2+1)^(1/2)*a*x-3/4*arcsinh(a*x)^2+3/4*a^2*x^2+3/4)","A"
37,1,65,63,0.095000," ","int(arcsinh(a*x)^4,x)","\frac{a x \arcsinh \left(a x \right)^{4}-4 \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}+12 a x \arcsinh \left(a x \right)^{2}-24 \sqrt{a^{2} x^{2}+1}\, \arcsinh \left(a x \right)+24 a x}{a}"," ",0,"1/a*(a*x*arcsinh(a*x)^4-4*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)+12*a*x*arcsinh(a*x)^2-24*(a^2*x^2+1)^(1/2)*arcsinh(a*x)+24*a*x)","A"
38,1,257,138,0.159000," ","int(arcsinh(a*x)^4/x,x)","-\frac{\arcsinh \left(a x \right)^{5}}{5}+\arcsinh \left(a x \right)^{4} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+4 \arcsinh \left(a x \right)^{3} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-12 \arcsinh \left(a x \right)^{2} \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)+24 \arcsinh \left(a x \right) \polylog \left(4, a x +\sqrt{a^{2} x^{2}+1}\right)-24 \polylog \left(5, a x +\sqrt{a^{2} x^{2}+1}\right)+\arcsinh \left(a x \right)^{4} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)+4 \arcsinh \left(a x \right)^{3} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)-12 \arcsinh \left(a x \right)^{2} \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)+24 \arcsinh \left(a x \right) \polylog \left(4, -a x -\sqrt{a^{2} x^{2}+1}\right)-24 \polylog \left(5, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-1/5*arcsinh(a*x)^5+arcsinh(a*x)^4*ln(1-a*x-(a^2*x^2+1)^(1/2))+4*arcsinh(a*x)^3*polylog(2,a*x+(a^2*x^2+1)^(1/2))-12*arcsinh(a*x)^2*polylog(3,a*x+(a^2*x^2+1)^(1/2))+24*arcsinh(a*x)*polylog(4,a*x+(a^2*x^2+1)^(1/2))-24*polylog(5,a*x+(a^2*x^2+1)^(1/2))+arcsinh(a*x)^4*ln(a*x+(a^2*x^2+1)^(1/2)+1)+4*arcsinh(a*x)^3*polylog(2,-a*x-(a^2*x^2+1)^(1/2))-12*arcsinh(a*x)^2*polylog(3,-a*x-(a^2*x^2+1)^(1/2))+24*arcsinh(a*x)*polylog(4,-a*x-(a^2*x^2+1)^(1/2))-24*polylog(5,-a*x-(a^2*x^2+1)^(1/2))","A"
39,1,217,186,0.235000," ","int(arcsinh(a*x)^4/x^2,x)","-\frac{\arcsinh \left(a x \right)^{4}}{x}+4 a \arcsinh \left(a x \right)^{3} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+12 a \arcsinh \left(a x \right)^{2} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-24 a \arcsinh \left(a x \right) \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)+24 a \polylog \left(4, a x +\sqrt{a^{2} x^{2}+1}\right)-4 a \arcsinh \left(a x \right)^{3} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)-12 a \arcsinh \left(a x \right)^{2} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)+24 a \arcsinh \left(a x \right) \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)-24 a \polylog \left(4, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-arcsinh(a*x)^4/x+4*a*arcsinh(a*x)^3*ln(1-a*x-(a^2*x^2+1)^(1/2))+12*a*arcsinh(a*x)^2*polylog(2,a*x+(a^2*x^2+1)^(1/2))-24*a*arcsinh(a*x)*polylog(3,a*x+(a^2*x^2+1)^(1/2))+24*a*polylog(4,a*x+(a^2*x^2+1)^(1/2))-4*a*arcsinh(a*x)^3*ln(a*x+(a^2*x^2+1)^(1/2)+1)-12*a*arcsinh(a*x)^2*polylog(2,-a*x-(a^2*x^2+1)^(1/2))+24*a*arcsinh(a*x)*polylog(3,-a*x-(a^2*x^2+1)^(1/2))-24*a*polylog(4,-a*x-(a^2*x^2+1)^(1/2))","A"
40,1,208,131,0.369000," ","int(arcsinh(a*x)^4/x^3,x)","-2 a^{2} \arcsinh \left(a x \right)^{3}-\frac{2 a \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{x}-\frac{\arcsinh \left(a x \right)^{4}}{2 x^{2}}+6 a^{2} \arcsinh \left(a x \right)^{2} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+12 a^{2} \arcsinh \left(a x \right) \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-12 a^{2} \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)+6 a^{2} \arcsinh \left(a x \right)^{2} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)+12 a^{2} \arcsinh \left(a x \right) \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)-12 a^{2} \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-2*a^2*arcsinh(a*x)^3-2*a*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)/x-1/2*arcsinh(a*x)^4/x^2+6*a^2*arcsinh(a*x)^2*ln(1-a*x-(a^2*x^2+1)^(1/2))+12*a^2*arcsinh(a*x)*polylog(2,a*x+(a^2*x^2+1)^(1/2))-12*a^2*polylog(3,a*x+(a^2*x^2+1)^(1/2))+6*a^2*arcsinh(a*x)^2*ln(a*x+(a^2*x^2+1)^(1/2)+1)+12*a^2*arcsinh(a*x)*polylog(2,-a*x-(a^2*x^2+1)^(1/2))-12*a^2*polylog(3,-a*x-(a^2*x^2+1)^(1/2))","A"
41,1,372,309,0.485000," ","int(arcsinh(a*x)^4/x^4,x)","-\frac{2 a \arcsinh \left(a x \right)^{3} \sqrt{a^{2} x^{2}+1}}{3 x^{2}}-\frac{2 a^{2} \arcsinh \left(a x \right)^{2}}{x}-\frac{\arcsinh \left(a x \right)^{4}}{3 x^{3}}-\frac{2 a^{3} \arcsinh \left(a x \right)^{3} \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)}{3}-2 a^{3} \arcsinh \left(a x \right)^{2} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)+4 a^{3} \arcsinh \left(a x \right) \polylog \left(3, a x +\sqrt{a^{2} x^{2}+1}\right)-4 a^{3} \polylog \left(4, a x +\sqrt{a^{2} x^{2}+1}\right)+\frac{2 a^{3} \arcsinh \left(a x \right)^{3} \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)}{3}+2 a^{3} \arcsinh \left(a x \right)^{2} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)-4 a^{3} \arcsinh \left(a x \right) \polylog \left(3, -a x -\sqrt{a^{2} x^{2}+1}\right)+4 a^{3} \polylog \left(4, -a x -\sqrt{a^{2} x^{2}+1}\right)+4 a^{3} \arcsinh \left(a x \right) \ln \left(1-a x -\sqrt{a^{2} x^{2}+1}\right)+4 a^{3} \polylog \left(2, a x +\sqrt{a^{2} x^{2}+1}\right)-4 a^{3} \arcsinh \left(a x \right) \ln \left(a x +\sqrt{a^{2} x^{2}+1}+1\right)-4 a^{3} \polylog \left(2, -a x -\sqrt{a^{2} x^{2}+1}\right)"," ",0,"-2/3*a*arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)/x^2-2*a^2*arcsinh(a*x)^2/x-1/3*arcsinh(a*x)^4/x^3-2/3*a^3*arcsinh(a*x)^3*ln(1-a*x-(a^2*x^2+1)^(1/2))-2*a^3*arcsinh(a*x)^2*polylog(2,a*x+(a^2*x^2+1)^(1/2))+4*a^3*arcsinh(a*x)*polylog(3,a*x+(a^2*x^2+1)^(1/2))-4*a^3*polylog(4,a*x+(a^2*x^2+1)^(1/2))+2/3*a^3*arcsinh(a*x)^3*ln(a*x+(a^2*x^2+1)^(1/2)+1)+2*a^3*arcsinh(a*x)^2*polylog(2,-a*x-(a^2*x^2+1)^(1/2))-4*a^3*arcsinh(a*x)*polylog(3,-a*x-(a^2*x^2+1)^(1/2))+4*a^3*polylog(4,-a*x-(a^2*x^2+1)^(1/2))+4*a^3*arcsinh(a*x)*ln(1-a*x-(a^2*x^2+1)^(1/2))+4*a^3*polylog(2,a*x+(a^2*x^2+1)^(1/2))-4*a^3*arcsinh(a*x)*ln(a*x+(a^2*x^2+1)^(1/2)+1)-4*a^3*polylog(2,-a*x-(a^2*x^2+1)^(1/2))","A"
42,1,40,47,0.195000," ","int(x^6/arcsinh(a*x),x)","\frac{-\frac{5 \Chi \left(\arcsinh \left(a x \right)\right)}{64}+\frac{9 \Chi \left(3 \arcsinh \left(a x \right)\right)}{64}-\frac{5 \Chi \left(5 \arcsinh \left(a x \right)\right)}{64}+\frac{\Chi \left(7 \arcsinh \left(a x \right)\right)}{64}}{a^{7}}"," ",0,"1/a^7*(-5/64*Chi(arcsinh(a*x))+9/64*Chi(3*arcsinh(a*x))-5/64*Chi(5*arcsinh(a*x))+1/64*Chi(7*arcsinh(a*x)))","A"
43,1,33,37,0.191000," ","int(x^5/arcsinh(a*x),x)","\frac{\frac{5 \Shi \left(2 \arcsinh \left(a x \right)\right)}{32}-\frac{\Shi \left(4 \arcsinh \left(a x \right)\right)}{8}+\frac{\Shi \left(6 \arcsinh \left(a x \right)\right)}{32}}{a^{6}}"," ",0,"1/a^6*(5/32*Shi(2*arcsinh(a*x))-1/8*Shi(4*arcsinh(a*x))+1/32*Shi(6*arcsinh(a*x)))","A"
44,1,31,35,0.164000," ","int(x^4/arcsinh(a*x),x)","\frac{\frac{\Chi \left(\arcsinh \left(a x \right)\right)}{8}-\frac{3 \Chi \left(3 \arcsinh \left(a x \right)\right)}{16}+\frac{\Chi \left(5 \arcsinh \left(a x \right)\right)}{16}}{a^{5}}"," ",0,"1/a^5*(1/8*Chi(arcsinh(a*x))-3/16*Chi(3*arcsinh(a*x))+1/16*Chi(5*arcsinh(a*x)))","A"
45,1,24,25,0.157000," ","int(x^3/arcsinh(a*x),x)","\frac{-\frac{\Shi \left(2 \arcsinh \left(a x \right)\right)}{4}+\frac{\Shi \left(4 \arcsinh \left(a x \right)\right)}{8}}{a^{4}}"," ",0,"1/a^4*(-1/4*Shi(2*arcsinh(a*x))+1/8*Shi(4*arcsinh(a*x)))","A"
46,1,22,23,0.127000," ","int(x^2/arcsinh(a*x),x)","\frac{-\frac{\Chi \left(\arcsinh \left(a x \right)\right)}{4}+\frac{\Chi \left(3 \arcsinh \left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(-1/4*Chi(arcsinh(a*x))+1/4*Chi(3*arcsinh(a*x)))","A"
47,1,13,12,0.161000," ","int(x/arcsinh(a*x),x)","\frac{\Shi \left(2 \arcsinh \left(a x \right)\right)}{2 a^{2}}"," ",0,"1/2*Shi(2*arcsinh(a*x))/a^2","A"
48,1,10,9,0.100000," ","int(1/arcsinh(a*x),x)","\frac{\Chi \left(\arcsinh \left(a x \right)\right)}{a}"," ",0,"Chi(arcsinh(a*x))/a","A"
49,0,0,12,0.265000," ","int(1/x/arcsinh(a*x),x)","\int \frac{1}{x \arcsinh \left(a x \right)}\, dx"," ",0,"int(1/x/arcsinh(a*x),x)","F"
50,0,0,12,0.364000," ","int(1/x^2/arcsinh(a*x),x)","\int \frac{1}{x^{2} \arcsinh \left(a x \right)}\, dx"," ",0,"int(1/x^2/arcsinh(a*x),x)","F"
51,1,104,72,0.208000," ","int(x^6/arcsinh(a*x)^2,x)","\frac{\frac{5 \sqrt{a^{2} x^{2}+1}}{64 \arcsinh \left(a x \right)}-\frac{5 \Shi \left(\arcsinh \left(a x \right)\right)}{64}-\frac{9 \cosh \left(3 \arcsinh \left(a x \right)\right)}{64 \arcsinh \left(a x \right)}+\frac{27 \Shi \left(3 \arcsinh \left(a x \right)\right)}{64}+\frac{5 \cosh \left(5 \arcsinh \left(a x \right)\right)}{64 \arcsinh \left(a x \right)}-\frac{25 \Shi \left(5 \arcsinh \left(a x \right)\right)}{64}-\frac{\cosh \left(7 \arcsinh \left(a x \right)\right)}{64 \arcsinh \left(a x \right)}+\frac{7 \Shi \left(7 \arcsinh \left(a x \right)\right)}{64}}{a^{7}}"," ",0,"1/a^7*(5/64/arcsinh(a*x)*(a^2*x^2+1)^(1/2)-5/64*Shi(arcsinh(a*x))-9/64/arcsinh(a*x)*cosh(3*arcsinh(a*x))+27/64*Shi(3*arcsinh(a*x))+5/64/arcsinh(a*x)*cosh(5*arcsinh(a*x))-25/64*Shi(5*arcsinh(a*x))-1/64/arcsinh(a*x)*cosh(7*arcsinh(a*x))+7/64*Shi(7*arcsinh(a*x)))","A"
52,1,78,62,0.196000," ","int(x^5/arcsinh(a*x)^2,x)","\frac{-\frac{5 \sinh \left(2 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)}+\frac{5 \Chi \left(2 \arcsinh \left(a x \right)\right)}{16}+\frac{\sinh \left(4 \arcsinh \left(a x \right)\right)}{8 \arcsinh \left(a x \right)}-\frac{\Chi \left(4 \arcsinh \left(a x \right)\right)}{2}-\frac{\sinh \left(6 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)}+\frac{3 \Chi \left(6 \arcsinh \left(a x \right)\right)}{16}}{a^{6}}"," ",0,"1/a^6*(-5/32/arcsinh(a*x)*sinh(2*arcsinh(a*x))+5/16*Chi(2*arcsinh(a*x))+1/8/arcsinh(a*x)*sinh(4*arcsinh(a*x))-1/2*Chi(4*arcsinh(a*x))-1/32/arcsinh(a*x)*sinh(6*arcsinh(a*x))+3/16*Chi(6*arcsinh(a*x)))","A"
53,1,80,60,0.171000," ","int(x^4/arcsinh(a*x)^2,x)","\frac{-\frac{\sqrt{a^{2} x^{2}+1}}{8 \arcsinh \left(a x \right)}+\frac{\Shi \left(\arcsinh \left(a x \right)\right)}{8}+\frac{3 \cosh \left(3 \arcsinh \left(a x \right)\right)}{16 \arcsinh \left(a x \right)}-\frac{9 \Shi \left(3 \arcsinh \left(a x \right)\right)}{16}-\frac{\cosh \left(5 \arcsinh \left(a x \right)\right)}{16 \arcsinh \left(a x \right)}+\frac{5 \Shi \left(5 \arcsinh \left(a x \right)\right)}{16}}{a^{5}}"," ",0,"1/a^5*(-1/8/arcsinh(a*x)*(a^2*x^2+1)^(1/2)+1/8*Shi(arcsinh(a*x))+3/16/arcsinh(a*x)*cosh(3*arcsinh(a*x))-9/16*Shi(3*arcsinh(a*x))-1/16/arcsinh(a*x)*cosh(5*arcsinh(a*x))+5/16*Shi(5*arcsinh(a*x)))","A"
54,1,54,50,0.155000," ","int(x^3/arcsinh(a*x)^2,x)","\frac{\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{4 \arcsinh \left(a x \right)}-\frac{\Chi \left(2 \arcsinh \left(a x \right)\right)}{2}-\frac{\sinh \left(4 \arcsinh \left(a x \right)\right)}{8 \arcsinh \left(a x \right)}+\frac{\Chi \left(4 \arcsinh \left(a x \right)\right)}{2}}{a^{4}}"," ",0,"1/a^4*(1/4/arcsinh(a*x)*sinh(2*arcsinh(a*x))-1/2*Chi(2*arcsinh(a*x))-1/8/arcsinh(a*x)*sinh(4*arcsinh(a*x))+1/2*Chi(4*arcsinh(a*x)))","A"
55,1,56,48,0.137000," ","int(x^2/arcsinh(a*x)^2,x)","\frac{\frac{\sqrt{a^{2} x^{2}+1}}{4 \arcsinh \left(a x \right)}-\frac{\Shi \left(\arcsinh \left(a x \right)\right)}{4}-\frac{\cosh \left(3 \arcsinh \left(a x \right)\right)}{4 \arcsinh \left(a x \right)}+\frac{3 \Shi \left(3 \arcsinh \left(a x \right)\right)}{4}}{a^{3}}"," ",0,"1/a^3*(1/4/arcsinh(a*x)*(a^2*x^2+1)^(1/2)-1/4*Shi(arcsinh(a*x))-1/4/arcsinh(a*x)*cosh(3*arcsinh(a*x))+3/4*Shi(3*arcsinh(a*x)))","A"
56,1,28,35,0.165000," ","int(x/arcsinh(a*x)^2,x)","\frac{-\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{2 \arcsinh \left(a x \right)}+\Chi \left(2 \arcsinh \left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(-1/2/arcsinh(a*x)*sinh(2*arcsinh(a*x))+Chi(2*arcsinh(a*x)))","A"
57,1,30,32,0.093000," ","int(1/arcsinh(a*x)^2,x)","\frac{-\frac{\sqrt{a^{2} x^{2}+1}}{\arcsinh \left(a x \right)}+\Shi \left(\arcsinh \left(a x \right)\right)}{a}"," ",0,"1/a*(-1/arcsinh(a*x)*(a^2*x^2+1)^(1/2)+Shi(arcsinh(a*x)))","A"
58,0,0,12,0.245000," ","int(1/x/arcsinh(a*x)^2,x)","\int \frac{1}{x \arcsinh \left(a x \right)^{2}}\, dx"," ",0,"int(1/x/arcsinh(a*x)^2,x)","F"
59,0,0,12,0.355000," ","int(1/x^2/arcsinh(a*x)^2,x)","\int \frac{1}{x^{2} \arcsinh \left(a x \right)^{2}}\, dx"," ",0,"int(1/x^2/arcsinh(a*x)^2,x)","F"
60,1,120,85,0.168000," ","int(x^4/arcsinh(a*x)^3,x)","\frac{-\frac{\sqrt{a^{2} x^{2}+1}}{16 \arcsinh \left(a x \right)^{2}}-\frac{a x}{16 \arcsinh \left(a x \right)}+\frac{\Chi \left(\arcsinh \left(a x \right)\right)}{16}+\frac{3 \cosh \left(3 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)^{2}}+\frac{9 \sinh \left(3 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)}-\frac{27 \Chi \left(3 \arcsinh \left(a x \right)\right)}{32}-\frac{\cosh \left(5 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)^{2}}-\frac{5 \sinh \left(5 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)}+\frac{25 \Chi \left(5 \arcsinh \left(a x \right)\right)}{32}}{a^{5}}"," ",0,"1/a^5*(-1/16/arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)-1/16*a*x/arcsinh(a*x)+1/16*Chi(arcsinh(a*x))+3/32/arcsinh(a*x)^2*cosh(3*arcsinh(a*x))+9/32/arcsinh(a*x)*sinh(3*arcsinh(a*x))-27/32*Chi(3*arcsinh(a*x))-1/32/arcsinh(a*x)^2*cosh(5*arcsinh(a*x))-5/32/arcsinh(a*x)*sinh(5*arcsinh(a*x))+25/32*Chi(5*arcsinh(a*x)))","A"
61,1,82,74,0.156000," ","int(x^3/arcsinh(a*x)^3,x)","\frac{\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{8 \arcsinh \left(a x \right)^{2}}+\frac{\cosh \left(2 \arcsinh \left(a x \right)\right)}{4 \arcsinh \left(a x \right)}-\frac{\Shi \left(2 \arcsinh \left(a x \right)\right)}{2}-\frac{\sinh \left(4 \arcsinh \left(a x \right)\right)}{16 \arcsinh \left(a x \right)^{2}}-\frac{\cosh \left(4 \arcsinh \left(a x \right)\right)}{4 \arcsinh \left(a x \right)}+\Shi \left(4 \arcsinh \left(a x \right)\right)}{a^{4}}"," ",0,"1/a^4*(1/8/arcsinh(a*x)^2*sinh(2*arcsinh(a*x))+1/4/arcsinh(a*x)*cosh(2*arcsinh(a*x))-1/2*Shi(2*arcsinh(a*x))-1/16/arcsinh(a*x)^2*sinh(4*arcsinh(a*x))-1/4/arcsinh(a*x)*cosh(4*arcsinh(a*x))+Shi(4*arcsinh(a*x)))","A"
62,1,81,71,0.138000," ","int(x^2/arcsinh(a*x)^3,x)","\frac{\frac{\sqrt{a^{2} x^{2}+1}}{8 \arcsinh \left(a x \right)^{2}}+\frac{a x}{8 \arcsinh \left(a x \right)}-\frac{\Chi \left(\arcsinh \left(a x \right)\right)}{8}-\frac{\cosh \left(3 \arcsinh \left(a x \right)\right)}{8 \arcsinh \left(a x \right)^{2}}-\frac{3 \sinh \left(3 \arcsinh \left(a x \right)\right)}{8 \arcsinh \left(a x \right)}+\frac{9 \Chi \left(3 \arcsinh \left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(1/8/arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)+1/8*a*x/arcsinh(a*x)-1/8*Chi(arcsinh(a*x))-1/8/arcsinh(a*x)^2*cosh(3*arcsinh(a*x))-3/8/arcsinh(a*x)*sinh(3*arcsinh(a*x))+9/8*Chi(3*arcsinh(a*x)))","A"
63,1,43,57,0.168000," ","int(x/arcsinh(a*x)^3,x)","\frac{-\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{4 \arcsinh \left(a x \right)^{2}}-\frac{\cosh \left(2 \arcsinh \left(a x \right)\right)}{2 \arcsinh \left(a x \right)}+\Shi \left(2 \arcsinh \left(a x \right)\right)}{a^{2}}"," ",0,"1/a^2*(-1/4/arcsinh(a*x)^2*sinh(2*arcsinh(a*x))-1/2/arcsinh(a*x)*cosh(2*arcsinh(a*x))+Shi(2*arcsinh(a*x)))","A"
64,1,42,42,0.092000," ","int(1/arcsinh(a*x)^3,x)","\frac{-\frac{\sqrt{a^{2} x^{2}+1}}{2 \arcsinh \left(a x \right)^{2}}-\frac{a x}{2 \arcsinh \left(a x \right)}+\frac{\Chi \left(\arcsinh \left(a x \right)\right)}{2}}{a}"," ",0,"1/a*(-1/2/arcsinh(a*x)^2*(a^2*x^2+1)^(1/2)-1/2*a*x/arcsinh(a*x)+1/2*Chi(arcsinh(a*x)))","A"
65,0,0,12,0.236000," ","int(1/x/arcsinh(a*x)^3,x)","\int \frac{1}{x \arcsinh \left(a x \right)^{3}}\, dx"," ",0,"int(1/x/arcsinh(a*x)^3,x)","F"
66,0,0,12,0.350000," ","int(1/x^2/arcsinh(a*x)^3,x)","\int \frac{1}{x^{2} \arcsinh \left(a x \right)^{3}}\, dx"," ",0,"int(1/x^2/arcsinh(a*x)^3,x)","F"
67,1,169,135,0.191000," ","int(x^4/arcsinh(a*x)^4,x)","\frac{-\frac{\sqrt{a^{2} x^{2}+1}}{24 \arcsinh \left(a x \right)^{3}}-\frac{a x}{48 \arcsinh \left(a x \right)^{2}}-\frac{\sqrt{a^{2} x^{2}+1}}{48 \arcsinh \left(a x \right)}+\frac{\Shi \left(\arcsinh \left(a x \right)\right)}{48}+\frac{\cosh \left(3 \arcsinh \left(a x \right)\right)}{16 \arcsinh \left(a x \right)^{3}}+\frac{3 \sinh \left(3 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)^{2}}+\frac{9 \cosh \left(3 \arcsinh \left(a x \right)\right)}{32 \arcsinh \left(a x \right)}-\frac{27 \Shi \left(3 \arcsinh \left(a x \right)\right)}{32}-\frac{\cosh \left(5 \arcsinh \left(a x \right)\right)}{48 \arcsinh \left(a x \right)^{3}}-\frac{5 \sinh \left(5 \arcsinh \left(a x \right)\right)}{96 \arcsinh \left(a x \right)^{2}}-\frac{25 \cosh \left(5 \arcsinh \left(a x \right)\right)}{96 \arcsinh \left(a x \right)}+\frac{125 \Shi \left(5 \arcsinh \left(a x \right)\right)}{96}}{a^{5}}"," ",0,"1/a^5*(-1/24/arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-1/48/arcsinh(a*x)^2*a*x-1/48/arcsinh(a*x)*(a^2*x^2+1)^(1/2)+1/48*Shi(arcsinh(a*x))+1/16/arcsinh(a*x)^3*cosh(3*arcsinh(a*x))+3/32/arcsinh(a*x)^2*sinh(3*arcsinh(a*x))+9/32/arcsinh(a*x)*cosh(3*arcsinh(a*x))-27/32*Shi(3*arcsinh(a*x))-1/48/arcsinh(a*x)^3*cosh(5*arcsinh(a*x))-5/96/arcsinh(a*x)^2*sinh(5*arcsinh(a*x))-25/96/arcsinh(a*x)*cosh(5*arcsinh(a*x))+125/96*Shi(5*arcsinh(a*x)))","A"
68,1,114,123,0.181000," ","int(x^3/arcsinh(a*x)^4,x)","\frac{\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{12 \arcsinh \left(a x \right)^{3}}+\frac{\cosh \left(2 \arcsinh \left(a x \right)\right)}{12 \arcsinh \left(a x \right)^{2}}+\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{6 \arcsinh \left(a x \right)}-\frac{\Chi \left(2 \arcsinh \left(a x \right)\right)}{3}-\frac{\sinh \left(4 \arcsinh \left(a x \right)\right)}{24 \arcsinh \left(a x \right)^{3}}-\frac{\cosh \left(4 \arcsinh \left(a x \right)\right)}{12 \arcsinh \left(a x \right)^{2}}-\frac{\sinh \left(4 \arcsinh \left(a x \right)\right)}{3 \arcsinh \left(a x \right)}+\frac{4 \Chi \left(4 \arcsinh \left(a x \right)\right)}{3}}{a^{4}}"," ",0,"1/a^4*(1/12/arcsinh(a*x)^3*sinh(2*arcsinh(a*x))+1/12/arcsinh(a*x)^2*cosh(2*arcsinh(a*x))+1/6/arcsinh(a*x)*sinh(2*arcsinh(a*x))-1/3*Chi(2*arcsinh(a*x))-1/24/arcsinh(a*x)^3*sinh(4*arcsinh(a*x))-1/12/arcsinh(a*x)^2*cosh(4*arcsinh(a*x))-1/3/arcsinh(a*x)*sinh(4*arcsinh(a*x))+4/3*Chi(4*arcsinh(a*x)))","A"
69,1,115,118,0.137000," ","int(x^2/arcsinh(a*x)^4,x)","\frac{\frac{\sqrt{a^{2} x^{2}+1}}{12 \arcsinh \left(a x \right)^{3}}+\frac{a x}{24 \arcsinh \left(a x \right)^{2}}+\frac{\sqrt{a^{2} x^{2}+1}}{24 \arcsinh \left(a x \right)}-\frac{\Shi \left(\arcsinh \left(a x \right)\right)}{24}-\frac{\cosh \left(3 \arcsinh \left(a x \right)\right)}{12 \arcsinh \left(a x \right)^{3}}-\frac{\sinh \left(3 \arcsinh \left(a x \right)\right)}{8 \arcsinh \left(a x \right)^{2}}-\frac{3 \cosh \left(3 \arcsinh \left(a x \right)\right)}{8 \arcsinh \left(a x \right)}+\frac{9 \Shi \left(3 \arcsinh \left(a x \right)\right)}{8}}{a^{3}}"," ",0,"1/a^3*(1/12/arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)+1/24/arcsinh(a*x)^2*a*x+1/24/arcsinh(a*x)*(a^2*x^2+1)^(1/2)-1/24*Shi(arcsinh(a*x))-1/12/arcsinh(a*x)^3*cosh(3*arcsinh(a*x))-1/8/arcsinh(a*x)^2*sinh(3*arcsinh(a*x))-3/8/arcsinh(a*x)*cosh(3*arcsinh(a*x))+9/8*Shi(3*arcsinh(a*x)))","A"
70,1,60,81,0.169000," ","int(x/arcsinh(a*x)^4,x)","\frac{-\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{6 \arcsinh \left(a x \right)^{3}}-\frac{\cosh \left(2 \arcsinh \left(a x \right)\right)}{6 \arcsinh \left(a x \right)^{2}}-\frac{\sinh \left(2 \arcsinh \left(a x \right)\right)}{3 \arcsinh \left(a x \right)}+\frac{2 \Chi \left(2 \arcsinh \left(a x \right)\right)}{3}}{a^{2}}"," ",0,"1/a^2*(-1/6/arcsinh(a*x)^3*sinh(2*arcsinh(a*x))-1/6/arcsinh(a*x)^2*cosh(2*arcsinh(a*x))-1/3/arcsinh(a*x)*sinh(2*arcsinh(a*x))+2/3*Chi(2*arcsinh(a*x)))","A"
71,1,61,64,0.102000," ","int(1/arcsinh(a*x)^4,x)","\frac{-\frac{\sqrt{a^{2} x^{2}+1}}{3 \arcsinh \left(a x \right)^{3}}-\frac{a x}{6 \arcsinh \left(a x \right)^{2}}-\frac{\sqrt{a^{2} x^{2}+1}}{6 \arcsinh \left(a x \right)}+\frac{\Shi \left(\arcsinh \left(a x \right)\right)}{6}}{a}"," ",0,"1/a*(-1/3/arcsinh(a*x)^3*(a^2*x^2+1)^(1/2)-1/6/arcsinh(a*x)^2*a*x-1/6/arcsinh(a*x)*(a^2*x^2+1)^(1/2)+1/6*Shi(arcsinh(a*x)))","A"
72,0,0,12,0.243000," ","int(1/x/arcsinh(a*x)^4,x)","\int \frac{1}{x \arcsinh \left(a x \right)^{4}}\, dx"," ",0,"int(1/x/arcsinh(a*x)^4,x)","F"
73,0,0,12,0.367000," ","int(1/x^2/arcsinh(a*x)^4,x)","\int \frac{1}{x^{2} \arcsinh \left(a x \right)^{4}}\, dx"," ",0,"int(1/x^2/arcsinh(a*x)^4,x)","F"
74,-2,0,130,180.000000," ","int(x^4*arcsinh(a*x)^(1/2),x)","\int x^{4} \sqrt{\arcsinh \left(a x \right)}\, dx"," ",0,"int(x^4*arcsinh(a*x)^(1/2),x)","F"
75,-2,0,101,180.000000," ","int(x^3*arcsinh(a*x)^(1/2),x)","\int x^{3} \sqrt{\arcsinh \left(a x \right)}\, dx"," ",0,"int(x^3*arcsinh(a*x)^(1/2),x)","F"
76,-2,0,86,180.000000," ","int(x^2*arcsinh(a*x)^(1/2),x)","\int x^{2} \sqrt{\arcsinh \left(a x \right)}\, dx"," ",0,"int(x^2*arcsinh(a*x)^(1/2),x)","F"
77,1,75,67,0.295000," ","int(x*arcsinh(a*x)^(1/2),x)","\frac{\sqrt{2}\, \left(8 \sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, x^{2} a^{2}+4 \sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}-\pi  \erf \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)-\pi  \erfi \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)\right)}{32 \sqrt{\pi}\, a^{2}}"," ",0,"1/32*2^(1/2)*(8*2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)*x^2*a^2+4*2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)-Pi*erf(2^(1/2)*arcsinh(a*x)^(1/2))-Pi*erfi(2^(1/2)*arcsinh(a*x)^(1/2)))/Pi^(1/2)/a^2","A"
78,1,42,39,0.301000," ","int(arcsinh(a*x)^(1/2),x)","\frac{4 \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, x a +\pi  \erf \left(\sqrt{\arcsinh \left(a x \right)}\right)-\pi  \erfi \left(\sqrt{\arcsinh \left(a x \right)}\right)}{4 \sqrt{\pi}\, a}"," ",0,"1/4*(4*arcsinh(a*x)^(1/2)*Pi^(1/2)*x*a+Pi*erf(arcsinh(a*x)^(1/2))-Pi*erfi(arcsinh(a*x)^(1/2)))/Pi^(1/2)/a","A"
79,0,0,12,0.358000," ","int(arcsinh(a*x)^(1/2)/x,x)","\int \frac{\sqrt{\arcsinh \left(a x \right)}}{x}\, dx"," ",0,"int(arcsinh(a*x)^(1/2)/x,x)","F"
80,-2,0,202,180.000000," ","int(x^4*arcsinh(a*x)^(3/2),x)","\int x^{4} \arcsinh \left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^4*arcsinh(a*x)^(3/2),x)","F"
81,-2,0,149,180.000000," ","int(x^3*arcsinh(a*x)^(3/2),x)","\int x^{3} \arcsinh \left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^3*arcsinh(a*x)^(3/2),x)","F"
82,-2,0,133,180.000000," ","int(x^2*arcsinh(a*x)^(3/2),x)","\int x^{2} \arcsinh \left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^2*arcsinh(a*x)^(3/2),x)","F"
83,1,102,90,0.348000," ","int(x*arcsinh(a*x)^(3/2),x)","-\frac{\sqrt{2}\, \left(-32 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}+24 \sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}\, x a -16 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}+3 \pi  \erf \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)-3 \pi  \erfi \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)\right)}{128 \sqrt{\pi}\, a^{2}}"," ",0,"-1/128*2^(1/2)*(-32*arcsinh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x^2*a^2+24*2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)*x*a-16*arcsinh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)+3*Pi*erf(2^(1/2)*arcsinh(a*x)^(1/2))-3*Pi*erfi(2^(1/2)*arcsinh(a*x)^(1/2)))/Pi^(1/2)/a^2","A"
84,1,65,61,0.338000," ","int(arcsinh(a*x)^(3/2),x)","\frac{8 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, x a -12 \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}+3 \pi  \erf \left(\sqrt{\arcsinh \left(a x \right)}\right)+3 \pi  \erfi \left(\sqrt{\arcsinh \left(a x \right)}\right)}{8 \sqrt{\pi}\, a}"," ",0,"1/8*(8*arcsinh(a*x)^(3/2)*Pi^(1/2)*x*a-12*arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)+3*Pi*erf(arcsinh(a*x)^(1/2))+3*Pi*erfi(arcsinh(a*x)^(1/2)))/Pi^(1/2)/a","A"
85,0,0,12,0.346000," ","int(arcsinh(a*x)^(3/2)/x,x)","\int \frac{\arcsinh \left(a x \right)^{\frac{3}{2}}}{x}\, dx"," ",0,"int(arcsinh(a*x)^(3/2)/x,x)","F"
86,-2,0,239,180.000000," ","int(x^4*arcsinh(a*x)^(5/2),x)","\int x^{4} \arcsinh \left(a x \right)^{\frac{5}{2}}\, dx"," ",0,"int(x^4*arcsinh(a*x)^(5/2),x)","F"
87,-2,0,185,180.000000," ","int(x^3*arcsinh(a*x)^(5/2),x)","\int x^{3} \arcsinh \left(a x \right)^{\frac{5}{2}}\, dx"," ",0,"int(x^3*arcsinh(a*x)^(5/2),x)","F"
88,-2,0,156,180.000000," ","int(x^2*arcsinh(a*x)^(5/2),x)","\int x^{2} \arcsinh \left(a x \right)^{\frac{5}{2}}\, dx"," ",0,"int(x^2*arcsinh(a*x)^(5/2),x)","F"
89,1,136,112,0.354000," ","int(x*arcsinh(a*x)^(5/2),x)","-\frac{\sqrt{2}\, \left(-128 \arcsinh \left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}+160 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}\, x a -120 \sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, x^{2} a^{2}-64 \arcsinh \left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}-60 \sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}+15 \pi  \erf \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)+15 \pi  \erfi \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)\right)}{512 \sqrt{\pi}\, a^{2}}"," ",0,"-1/512*2^(1/2)*(-128*arcsinh(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*x^2*a^2+160*arcsinh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)*x*a-120*2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)*x^2*a^2-64*arcsinh(a*x)^(5/2)*2^(1/2)*Pi^(1/2)-60*2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)+15*Pi*erf(2^(1/2)*arcsinh(a*x)^(1/2))+15*Pi*erfi(2^(1/2)*arcsinh(a*x)^(1/2)))/Pi^(1/2)/a^2","A"
90,1,78,70,0.339000," ","int(arcsinh(a*x)^(5/2),x)","\frac{16 \arcsinh \left(a x \right)^{\frac{5}{2}} \sqrt{\pi}\, x a -40 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}+60 \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, x a +15 \pi  \erf \left(\sqrt{\arcsinh \left(a x \right)}\right)-15 \pi  \erfi \left(\sqrt{\arcsinh \left(a x \right)}\right)}{16 \sqrt{\pi}\, a}"," ",0,"1/16*(16*arcsinh(a*x)^(5/2)*Pi^(1/2)*x*a-40*arcsinh(a*x)^(3/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)+60*arcsinh(a*x)^(1/2)*Pi^(1/2)*x*a+15*Pi*erf(arcsinh(a*x)^(1/2))-15*Pi*erfi(arcsinh(a*x)^(1/2)))/Pi^(1/2)/a","A"
91,0,0,12,0.355000," ","int(arcsinh(a*x)^(5/2)/x,x)","\int \frac{\arcsinh \left(a x \right)^{\frac{5}{2}}}{x}\, dx"," ",0,"int(arcsinh(a*x)^(5/2)/x,x)","F"
92,-2,0,119,180.000000," ","int(x^4/arcsinh(a*x)^(1/2),x)","\int \frac{x^{4}}{\sqrt{\arcsinh \left(a x \right)}}\, dx"," ",0,"int(x^4/arcsinh(a*x)^(1/2),x)","F"
93,-2,0,79,180.000000," ","int(x^3/arcsinh(a*x)^(1/2),x)","\int \frac{x^{3}}{\sqrt{\arcsinh \left(a x \right)}}\, dx"," ",0,"int(x^3/arcsinh(a*x)^(1/2),x)","F"
94,-2,0,75,180.000000," ","int(x^2/arcsinh(a*x)^(1/2),x)","\int \frac{x^{2}}{\sqrt{\arcsinh \left(a x \right)}}\, dx"," ",0,"int(x^2/arcsinh(a*x)^(1/2),x)","F"
95,1,37,45,0.206000," ","int(x/arcsinh(a*x)^(1/2),x)","-\frac{\sqrt{\pi}\, \sqrt{2}\, \left(\erf \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)-\erfi \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)\right)}{8 a^{2}}"," ",0,"-1/8*Pi^(1/2)*2^(1/2)*(erf(2^(1/2)*arcsinh(a*x)^(1/2))-erfi(2^(1/2)*arcsinh(a*x)^(1/2)))/a^2","A"
96,1,24,31,0.193000," ","int(1/arcsinh(a*x)^(1/2),x)","\frac{\sqrt{\pi}\, \left(\erf \left(\sqrt{\arcsinh \left(a x \right)}\right)+\erfi \left(\sqrt{\arcsinh \left(a x \right)}\right)\right)}{2 a}"," ",0,"1/2*Pi^(1/2)*(erf(arcsinh(a*x)^(1/2))+erfi(arcsinh(a*x)^(1/2)))/a","A"
97,0,0,12,0.352000," ","int(1/x/arcsinh(a*x)^(1/2),x)","\int \frac{1}{x \sqrt{\arcsinh \left(a x \right)}}\, dx"," ",0,"int(1/x/arcsinh(a*x)^(1/2),x)","F"
98,0,0,12,0.607000," ","int(1/x^2/arcsinh(a*x)^(1/2),x)","\int \frac{1}{x^{2} \sqrt{\arcsinh \left(a x \right)}}\, dx"," ",0,"int(1/x^2/arcsinh(a*x)^(1/2),x)","F"
99,-2,0,144,180.000000," ","int(x^4/arcsinh(a*x)^(3/2),x)","\int \frac{x^{4}}{\arcsinh \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^4/arcsinh(a*x)^(3/2),x)","F"
100,-2,0,104,180.000000," ","int(x^3/arcsinh(a*x)^(3/2),x)","\int \frac{x^{3}}{\arcsinh \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^3/arcsinh(a*x)^(3/2),x)","F"
101,-2,0,100,180.000000," ","int(x^2/arcsinh(a*x)^(3/2),x)","\int \frac{x^{2}}{\arcsinh \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/arcsinh(a*x)^(3/2),x)","F"
102,1,80,68,0.359000," ","int(x/arcsinh(a*x)^(3/2),x)","\frac{\sqrt{2}\, \left(-2 \sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}\, x a +\pi  \arcsinh \left(a x \right) \erf \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)+\pi  \arcsinh \left(a x \right) \erfi \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)\right)}{2 \sqrt{\pi}\, a^{2} \arcsinh \left(a x \right)}"," ",0,"1/2*2^(1/2)*(-2*2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)*x*a+Pi*arcsinh(a*x)*erf(2^(1/2)*arcsinh(a*x)^(1/2))+Pi*arcsinh(a*x)*erfi(2^(1/2)*arcsinh(a*x)^(1/2)))/Pi^(1/2)/a^2/arcsinh(a*x)","A"
103,1,65,52,0.355000," ","int(1/arcsinh(a*x)^(3/2),x)","-\frac{\arcsinh \left(a x \right) \pi  \erf \left(\sqrt{\arcsinh \left(a x \right)}\right)-\arcsinh \left(a x \right) \pi  \erfi \left(\sqrt{\arcsinh \left(a x \right)}\right)+2 \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}}{\sqrt{\pi}\, a \arcsinh \left(a x \right)}"," ",0,"-(arcsinh(a*x)*Pi*erf(arcsinh(a*x)^(1/2))-arcsinh(a*x)*Pi*erfi(arcsinh(a*x)^(1/2))+2*arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2))/Pi^(1/2)/a/arcsinh(a*x)","A"
104,0,0,12,0.355000," ","int(1/x/arcsinh(a*x)^(3/2),x)","\int \frac{1}{x \arcsinh \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x/arcsinh(a*x)^(3/2),x)","F"
105,-2,0,169,180.000000," ","int(x^4/arcsinh(a*x)^(5/2),x)","\int \frac{x^{4}}{\arcsinh \left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^4/arcsinh(a*x)^(5/2),x)","F"
106,-2,0,129,180.000000," ","int(x^3/arcsinh(a*x)^(5/2),x)","\int \frac{x^{3}}{\arcsinh \left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^3/arcsinh(a*x)^(5/2),x)","F"
107,-2,0,123,180.000000," ","int(x^2/arcsinh(a*x)^(5/2),x)","\int \frac{x^{2}}{\arcsinh \left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2/arcsinh(a*x)^(5/2),x)","F"
108,1,119,90,0.332000," ","int(x/arcsinh(a*x)^(5/2),x)","-\frac{\sqrt{2}\, \left(4 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}+\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}\, x a +2 \arcsinh \left(a x \right)^{2} \pi  \erf \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)-2 \arcsinh \left(a x \right)^{2} \pi  \erfi \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)+2 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\right)}{3 \sqrt{\pi}\, a^{2} \arcsinh \left(a x \right)^{2}}"," ",0,"-1/3*2^(1/2)*(4*arcsinh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x^2*a^2+2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)*x*a+2*arcsinh(a*x)^2*Pi*erf(2^(1/2)*arcsinh(a*x)^(1/2))-2*arcsinh(a*x)^2*Pi*erfi(2^(1/2)*arcsinh(a*x)^(1/2))+2*arcsinh(a*x)^(3/2)*2^(1/2)*Pi^(1/2))/Pi^(1/2)/a^2/arcsinh(a*x)^2","A"
109,1,81,62,0.321000," ","int(1/arcsinh(a*x)^(5/2),x)","\frac{-\frac{4 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, x a}{3}+\frac{2 \arcsinh \left(a x \right)^{2} \pi  \erf \left(\sqrt{\arcsinh \left(a x \right)}\right)}{3}+\frac{2 \arcsinh \left(a x \right)^{2} \pi  \erfi \left(\sqrt{\arcsinh \left(a x \right)}\right)}{3}-\frac{2 \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}}{3}}{\sqrt{\pi}\, a \arcsinh \left(a x \right)^{2}}"," ",0,"2/3*(-2*arcsinh(a*x)^(3/2)*Pi^(1/2)*x*a+arcsinh(a*x)^2*Pi*erf(arcsinh(a*x)^(1/2))+arcsinh(a*x)^2*Pi*erfi(arcsinh(a*x)^(1/2))-arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2))/Pi^(1/2)/a/arcsinh(a*x)^2","A"
110,0,0,12,0.358000," ","int(1/x/arcsinh(a*x)^(5/2),x)","\int \frac{1}{x \arcsinh \left(a x \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x/arcsinh(a*x)^(5/2),x)","F"
111,-2,0,219,180.000000," ","int(x^4/arcsinh(a*x)^(7/2),x)","\int \frac{x^{4}}{\arcsinh \left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^4/arcsinh(a*x)^(7/2),x)","F"
112,-2,0,177,180.000000," ","int(x^3/arcsinh(a*x)^(7/2),x)","\int \frac{x^{3}}{\arcsinh \left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^3/arcsinh(a*x)^(7/2),x)","F"
113,-2,0,170,180.000000," ","int(x^2/arcsinh(a*x)^(7/2),x)","\int \frac{x^{2}}{\arcsinh \left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^2/arcsinh(a*x)^(7/2),x)","F"
114,1,147,113,0.342000," ","int(x/arcsinh(a*x)^(7/2),x)","\frac{\sqrt{2}\, \left(-16 \arcsinh \left(a x \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}\, x a -4 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x^{2} a^{2}-3 \sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}\, x a +8 \arcsinh \left(a x \right)^{3} \pi  \erf \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)+8 \arcsinh \left(a x \right)^{3} \pi  \erfi \left(\sqrt{2}\, \sqrt{\arcsinh \left(a x \right)}\right)-2 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\right)}{15 \sqrt{\pi}\, a^{2} \arcsinh \left(a x \right)^{3}}"," ",0,"1/15*2^(1/2)*(-16*arcsinh(a*x)^(5/2)*2^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)*x*a-4*arcsinh(a*x)^(3/2)*2^(1/2)*Pi^(1/2)*x^2*a^2-3*2^(1/2)*arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2)*x*a+8*arcsinh(a*x)^3*Pi*erf(2^(1/2)*arcsinh(a*x)^(1/2))+8*arcsinh(a*x)^3*Pi*erfi(2^(1/2)*arcsinh(a*x)^(1/2))-2*arcsinh(a*x)^(3/2)*2^(1/2)*Pi^(1/2))/Pi^(1/2)/a^2/arcsinh(a*x)^3","A"
115,1,105,84,0.328000," ","int(1/arcsinh(a*x)^(7/2),x)","-\frac{2 \left(2 \arcsinh \left(a x \right)^{3} \pi  \erf \left(\sqrt{\arcsinh \left(a x \right)}\right)-2 \arcsinh \left(a x \right)^{3} \pi  \erfi \left(\sqrt{\arcsinh \left(a x \right)}\right)+4 \sqrt{a^{2} x^{2}+1}\, \sqrt{\pi}\, \arcsinh \left(a x \right)^{\frac{5}{2}}+2 \arcsinh \left(a x \right)^{\frac{3}{2}} \sqrt{\pi}\, x a +3 \sqrt{\arcsinh \left(a x \right)}\, \sqrt{\pi}\, \sqrt{a^{2} x^{2}+1}\right)}{15 \sqrt{\pi}\, a \arcsinh \left(a x \right)^{3}}"," ",0,"-2/15*(2*arcsinh(a*x)^3*Pi*erf(arcsinh(a*x)^(1/2))-2*arcsinh(a*x)^3*Pi*erfi(arcsinh(a*x)^(1/2))+4*(a^2*x^2+1)^(1/2)*Pi^(1/2)*arcsinh(a*x)^(5/2)+2*arcsinh(a*x)^(3/2)*Pi^(1/2)*x*a+3*arcsinh(a*x)^(1/2)*Pi^(1/2)*(a^2*x^2+1)^(1/2))/Pi^(1/2)/a/arcsinh(a*x)^3","A"
116,0,0,12,0.350000," ","int(1/x/arcsinh(a*x)^(7/2),x)","\int \frac{1}{x \arcsinh \left(a x \right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/x/arcsinh(a*x)^(7/2),x)","F"
117,0,0,51,1.324000," ","int(x^m*arcsinh(a*x)^4,x)","\int x^{m} \arcsinh \left(a x \right)^{4}\, dx"," ",0,"int(x^m*arcsinh(a*x)^4,x)","F"
118,0,0,51,1.188000," ","int(x^m*arcsinh(a*x)^3,x)","\int x^{m} \arcsinh \left(a x \right)^{3}\, dx"," ",0,"int(x^m*arcsinh(a*x)^3,x)","F"
119,0,0,119,1.206000," ","int(x^m*arcsinh(a*x)^2,x)","\int x^{m} \arcsinh \left(a x \right)^{2}\, dx"," ",0,"int(x^m*arcsinh(a*x)^2,x)","F"
120,0,0,56,1.201000," ","int(x^m*arcsinh(a*x),x)","\int x^{m} \arcsinh \left(a x \right)\, dx"," ",0,"int(x^m*arcsinh(a*x),x)","F"
121,0,0,12,1.011000," ","int(x^m/arcsinh(a*x),x)","\int \frac{x^{m}}{\arcsinh \left(a x \right)}\, dx"," ",0,"int(x^m/arcsinh(a*x),x)","F"
122,0,0,12,0.992000," ","int(x^m/arcsinh(a*x)^2,x)","\int \frac{x^{m}}{\arcsinh \left(a x \right)^{2}}\, dx"," ",0,"int(x^m/arcsinh(a*x)^2,x)","F"
123,0,0,12,0.375000," ","int(x^m*arcsinh(a*x)^(5/2),x)","\int x^{m} \arcsinh \left(a x \right)^{\frac{5}{2}}\, dx"," ",0,"int(x^m*arcsinh(a*x)^(5/2),x)","F"
124,0,0,12,0.243000," ","int(x^m*arcsinh(a*x)^(3/2),x)","\int x^{m} \arcsinh \left(a x \right)^{\frac{3}{2}}\, dx"," ",0,"int(x^m*arcsinh(a*x)^(3/2),x)","F"
125,0,0,12,0.246000," ","int(x^m*arcsinh(a*x)^(1/2),x)","\int x^{m} \sqrt{\arcsinh \left(a x \right)}\, dx"," ",0,"int(x^m*arcsinh(a*x)^(1/2),x)","F"
126,0,0,12,0.245000," ","int(x^m/arcsinh(a*x)^(1/2),x)","\int \frac{x^{m}}{\sqrt{\arcsinh \left(a x \right)}}\, dx"," ",0,"int(x^m/arcsinh(a*x)^(1/2),x)","F"
127,0,0,12,0.237000," ","int(x^m/arcsinh(a*x)^(3/2),x)","\int \frac{x^{m}}{\arcsinh \left(a x \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/arcsinh(a*x)^(3/2),x)","F"
128,0,0,14,0.155000," ","int((b*x)^m*arcsinh(a*x)^n,x)","\int \left(b x \right)^{m} \arcsinh \left(a x \right)^{n}\, dx"," ",0,"int((b*x)^m*arcsinh(a*x)^n,x)","F"
129,-2,0,161,180.000000," ","int(x^4*arcsinh(a*x)^n,x)","\int x^{4} \arcsinh \left(a x \right)^{n}\, dx"," ",0,"int(x^4*arcsinh(a*x)^n,x)","F"
130,-2,0,123,180.000000," ","int(x^3*arcsinh(a*x)^n,x)","\int x^{3} \arcsinh \left(a x \right)^{n}\, dx"," ",0,"int(x^3*arcsinh(a*x)^n,x)","F"
131,-2,0,105,180.000000," ","int(x^2*arcsinh(a*x)^n,x)","\int x^{2} \arcsinh \left(a x \right)^{n}\, dx"," ",0,"int(x^2*arcsinh(a*x)^n,x)","F"
132,1,38,59,0.161000," ","int(x*arcsinh(a*x)^n,x)","\frac{\arcsinh \left(a x \right)^{n +2} \hypergeom \left(\left[\frac{n}{2}+1\right], \left[\frac{3}{2}, 2+\frac{n}{2}\right], \arcsinh \left(a x \right)^{2}\right)}{a^{2} \left(n +2\right)}"," ",0,"1/a^2/(n+2)*arcsinh(a*x)^(n+2)*hypergeom([1/2*n+1],[3/2,2+1/2*n],arcsinh(a*x)^2)","C"
133,1,40,45,0.142000," ","int(arcsinh(a*x)^n,x)","\frac{\arcsinh \left(a x \right)^{n +1} \hypergeom \left(\left[\frac{n}{2}+\frac{1}{2}\right], \left[\frac{1}{2}, \frac{n}{2}+\frac{3}{2}\right], \frac{\arcsinh \left(a x \right)^{2}}{4}\right)}{a \left(n +1\right)}"," ",0,"1/a/(n+1)*arcsinh(a*x)^(n+1)*hypergeom([1/2*n+1/2],[1/2,1/2*n+3/2],1/4*arcsinh(a*x)^2)","C"
134,0,0,12,0.161000," ","int(arcsinh(a*x)^n/x,x)","\int \frac{\arcsinh \left(a x \right)^{n}}{x}\, dx"," ",0,"int(arcsinh(a*x)^n/x,x)","F"
135,0,0,12,0.254000," ","int(arcsinh(a*x)^n/x^2,x)","\int \frac{\arcsinh \left(a x \right)^{n}}{x^{2}}\, dx"," ",0,"int(arcsinh(a*x)^n/x^2,x)","F"
136,-2,0,162,180.000000," ","int(x^2*(a+b*arcsinh(c*x))^(1/2),x)","\int x^{2} \sqrt{a +b \arcsinh \left(c x \right)}\, dx"," ",0,"int(x^2*(a+b*arcsinh(c*x))^(1/2),x)","F"
137,0,0,111,0.382000," ","int(x*(a+b*arcsinh(c*x))^(1/2),x)","\int x \sqrt{a +b \arcsinh \left(c x \right)}\, dx"," ",0,"int(x*(a+b*arcsinh(c*x))^(1/2),x)","F"
138,0,0,79,0.365000," ","int((a+b*arcsinh(c*x))^(1/2),x)","\int \sqrt{a +b \arcsinh \left(c x \right)}\, dx"," ",0,"int((a+b*arcsinh(c*x))^(1/2),x)","F"
139,-2,0,219,180.000000," ","int(x^2*(a+b*arcsinh(c*x))^(3/2),x)","\int x^{2} \left(a +b \arcsinh \left(c x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^2*(a+b*arcsinh(c*x))^(3/2),x)","F"
140,0,0,139,0.395000," ","int(x*(a+b*arcsinh(c*x))^(3/2),x)","\int x \left(a +b \arcsinh \left(c x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int(x*(a+b*arcsinh(c*x))^(3/2),x)","F"
141,0,0,106,0.394000," ","int((a+b*arcsinh(c*x))^(3/2),x)","\int \left(a +b \arcsinh \left(c x \right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+b*arcsinh(c*x))^(3/2),x)","F"
142,-2,0,256,180.000000," ","int(x^2*(a+b*arcsinh(c*x))^(5/2),x)","\int x^{2} \left(a +b \arcsinh \left(c x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int(x^2*(a+b*arcsinh(c*x))^(5/2),x)","F"
143,0,0,175,0.378000," ","int(x*(a+b*arcsinh(c*x))^(5/2),x)","\int x \left(a +b \arcsinh \left(c x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int(x*(a+b*arcsinh(c*x))^(5/2),x)","F"
144,0,0,122,0.371000," ","int((a+b*arcsinh(c*x))^(5/2),x)","\int \left(a +b \arcsinh \left(c x \right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+b*arcsinh(c*x))^(5/2),x)","F"
145,-2,0,147,180.000000," ","int(x^2/(a+b*arcsinh(c*x))^(1/2),x)","\int \frac{x^{2}}{\sqrt{a +b \arcsinh \left(c x \right)}}\, dx"," ",0,"int(x^2/(a+b*arcsinh(c*x))^(1/2),x)","F"
146,0,0,81,0.372000," ","int(x/(a+b*arcsinh(c*x))^(1/2),x)","\int \frac{x}{\sqrt{a +b \arcsinh \left(c x \right)}}\, dx"," ",0,"int(x/(a+b*arcsinh(c*x))^(1/2),x)","F"
147,0,0,67,0.362000," ","int(1/(a+b*arcsinh(c*x))^(1/2),x)","\int \frac{1}{\sqrt{a +b \arcsinh \left(c x \right)}}\, dx"," ",0,"int(1/(a+b*arcsinh(c*x))^(1/2),x)","F"
148,-2,0,179,180.000000," ","int(x^2/(a+b*arcsinh(c*x))^(3/2),x)","\int \frac{x^{2}}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/(a+b*arcsinh(c*x))^(3/2),x)","F"
149,0,0,111,0.379000," ","int(x/(a+b*arcsinh(c*x))^(3/2),x)","\int \frac{x}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x/(a+b*arcsinh(c*x))^(3/2),x)","F"
150,0,0,95,0.378000," ","int(1/(a+b*arcsinh(c*x))^(3/2),x)","\int \frac{1}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+b*arcsinh(c*x))^(3/2),x)","F"
151,-2,0,216,180.000000," ","int(x^2/(a+b*arcsinh(c*x))^(5/2),x)","\int \frac{x^{2}}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2/(a+b*arcsinh(c*x))^(5/2),x)","F"
152,0,0,147,0.378000," ","int(x/(a+b*arcsinh(c*x))^(5/2),x)","\int \frac{x}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x/(a+b*arcsinh(c*x))^(5/2),x)","F"
153,0,0,112,0.363000," ","int(1/(a+b*arcsinh(c*x))^(5/2),x)","\int \frac{1}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a+b*arcsinh(c*x))^(5/2),x)","F"
154,-2,0,277,180.000000," ","int(x^2/(a+b*arcsinh(c*x))^(7/2),x)","\int \frac{x^{2}}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^2/(a+b*arcsinh(c*x))^(7/2),x)","F"
155,0,0,177,0.374000," ","int(x/(a+b*arcsinh(c*x))^(7/2),x)","\int \frac{x}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(x/(a+b*arcsinh(c*x))^(7/2),x)","F"
156,0,0,141,0.372000," ","int(1/(a+b*arcsinh(c*x))^(7/2),x)","\int \frac{1}{\left(a +b \arcsinh \left(c x \right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(a+b*arcsinh(c*x))^(7/2),x)","F"