1,1,70,0,1.766510," ","integrate(x**4*asinh(a*x),x)","\begin{cases} \frac{x^{5} \operatorname{asinh}{\left(a x \right)}}{5} - \frac{x^{4} \sqrt{a^{2} x^{2} + 1}}{25 a} + \frac{4 x^{2} \sqrt{a^{2} x^{2} + 1}}{75 a^{3}} - \frac{8 \sqrt{a^{2} x^{2} + 1}}{75 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asinh(a*x)/5 - x**4*sqrt(a**2*x**2 + 1)/(25*a) + 4*x**2*sqrt(a**2*x**2 + 1)/(75*a**3) - 8*sqrt(a**2*x**2 + 1)/(75*a**5), Ne(a, 0)), (0, True))","A",0
2,1,61,0,0.882163," ","integrate(x**3*asinh(a*x),x)","\begin{cases} \frac{x^{4} \operatorname{asinh}{\left(a x \right)}}{4} - \frac{x^{3} \sqrt{a^{2} x^{2} + 1}}{16 a} + \frac{3 x \sqrt{a^{2} x^{2} + 1}}{32 a^{3}} - \frac{3 \operatorname{asinh}{\left(a x \right)}}{32 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asinh(a*x)/4 - x**3*sqrt(a**2*x**2 + 1)/(16*a) + 3*x*sqrt(a**2*x**2 + 1)/(32*a**3) - 3*asinh(a*x)/(32*a**4), Ne(a, 0)), (0, True))","A",0
3,1,48,0,0.442399," ","integrate(x**2*asinh(a*x),x)","\begin{cases} \frac{x^{3} \operatorname{asinh}{\left(a x \right)}}{3} - \frac{x^{2} \sqrt{a^{2} x^{2} + 1}}{9 a} + \frac{2 \sqrt{a^{2} x^{2} + 1}}{9 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asinh(a*x)/3 - x**2*sqrt(a**2*x**2 + 1)/(9*a) + 2*sqrt(a**2*x**2 + 1)/(9*a**3), Ne(a, 0)), (0, True))","A",0
4,1,37,0,0.195752," ","integrate(x*asinh(a*x),x)","\begin{cases} \frac{x^{2} \operatorname{asinh}{\left(a x \right)}}{2} - \frac{x \sqrt{a^{2} x^{2} + 1}}{4 a} + \frac{\operatorname{asinh}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asinh(a*x)/2 - x*sqrt(a**2*x**2 + 1)/(4*a) + asinh(a*x)/(4*a**2), Ne(a, 0)), (0, True))","A",0
5,1,20,0,0.130588," ","integrate(asinh(a*x),x)","\begin{cases} x \operatorname{asinh}{\left(a x \right)} - \frac{\sqrt{a^{2} x^{2} + 1}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asinh(a*x) - sqrt(a**2*x**2 + 1)/a, Ne(a, 0)), (0, True))","A",0
6,0,0,0,0.000000," ","integrate(asinh(a*x)/x,x)","\int \frac{\operatorname{asinh}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asinh(a*x)/x, x)","F",0
7,0,0,0,0.000000," ","integrate(asinh(a*x)/x**2,x)","\int \frac{\operatorname{asinh}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asinh(a*x)/x**2, x)","F",0
8,0,0,0,0.000000," ","integrate(asinh(a*x)/x**3,x)","\int \frac{\operatorname{asinh}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(asinh(a*x)/x**3, x)","F",0
9,0,0,0,0.000000," ","integrate(asinh(a*x)/x**4,x)","\int \frac{\operatorname{asinh}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(asinh(a*x)/x**4, x)","F",0
10,0,0,0,0.000000," ","integrate(asinh(a*x)/x**5,x)","\int \frac{\operatorname{asinh}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(asinh(a*x)/x**5, x)","F",0
11,0,0,0,0.000000," ","integrate(asinh(a*x)/x**6,x)","\int \frac{\operatorname{asinh}{\left(a x \right)}}{x^{6}}\, dx"," ",0,"Integral(asinh(a*x)/x**6, x)","F",0
12,1,114,0,3.028958," ","integrate(x**4*asinh(a*x)**2,x)","\begin{cases} \frac{x^{5} \operatorname{asinh}^{2}{\left(a x \right)}}{5} + \frac{2 x^{5}}{125} - \frac{2 x^{4} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{25 a} - \frac{8 x^{3}}{225 a^{2}} + \frac{8 x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{75 a^{3}} + \frac{16 x}{75 a^{4}} - \frac{16 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{75 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asinh(a*x)**2/5 + 2*x**5/125 - 2*x**4*sqrt(a**2*x**2 + 1)*asinh(a*x)/(25*a) - 8*x**3/(225*a**2) + 8*x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)/(75*a**3) + 16*x/(75*a**4) - 16*sqrt(a**2*x**2 + 1)*asinh(a*x)/(75*a**5), Ne(a, 0)), (0, True))","A",0
13,1,90,0,1.858557," ","integrate(x**3*asinh(a*x)**2,x)","\begin{cases} \frac{x^{4} \operatorname{asinh}^{2}{\left(a x \right)}}{4} + \frac{x^{4}}{32} - \frac{x^{3} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{8 a} - \frac{3 x^{2}}{32 a^{2}} + \frac{3 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{16 a^{3}} - \frac{3 \operatorname{asinh}^{2}{\left(a x \right)}}{32 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asinh(a*x)**2/4 + x**4/32 - x**3*sqrt(a**2*x**2 + 1)*asinh(a*x)/(8*a) - 3*x**2/(32*a**2) + 3*x*sqrt(a**2*x**2 + 1)*asinh(a*x)/(16*a**3) - 3*asinh(a*x)**2/(32*a**4), Ne(a, 0)), (0, True))","A",0
14,1,76,0,0.863552," ","integrate(x**2*asinh(a*x)**2,x)","\begin{cases} \frac{x^{3} \operatorname{asinh}^{2}{\left(a x \right)}}{3} + \frac{2 x^{3}}{27} - \frac{2 x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{9 a} - \frac{4 x}{9 a^{2}} + \frac{4 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{9 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asinh(a*x)**2/3 + 2*x**3/27 - 2*x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)/(9*a) - 4*x/(9*a**2) + 4*sqrt(a**2*x**2 + 1)*asinh(a*x)/(9*a**3), Ne(a, 0)), (0, True))","A",0
15,1,51,0,0.433623," ","integrate(x*asinh(a*x)**2,x)","\begin{cases} \frac{x^{2} \operatorname{asinh}^{2}{\left(a x \right)}}{2} + \frac{x^{2}}{4} - \frac{x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{2 a} + \frac{\operatorname{asinh}^{2}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asinh(a*x)**2/2 + x**2/4 - x*sqrt(a**2*x**2 + 1)*asinh(a*x)/(2*a) + asinh(a*x)**2/(4*a**2), Ne(a, 0)), (0, True))","A",0
16,1,32,0,0.185812," ","integrate(asinh(a*x)**2,x)","\begin{cases} x \operatorname{asinh}^{2}{\left(a x \right)} + 2 x - \frac{2 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asinh(a*x)**2 + 2*x - 2*sqrt(a**2*x**2 + 1)*asinh(a*x)/a, Ne(a, 0)), (0, True))","A",0
17,0,0,0,0.000000," ","integrate(asinh(a*x)**2/x,x)","\int \frac{\operatorname{asinh}^{2}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asinh(a*x)**2/x, x)","F",0
18,0,0,0,0.000000," ","integrate(asinh(a*x)**2/x**2,x)","\int \frac{\operatorname{asinh}^{2}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asinh(a*x)**2/x**2, x)","F",0
19,0,0,0,0.000000," ","integrate(asinh(a*x)**2/x**3,x)","\int \frac{\operatorname{asinh}^{2}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(asinh(a*x)**2/x**3, x)","F",0
20,0,0,0,0.000000," ","integrate(asinh(a*x)**2/x**4,x)","\int \frac{\operatorname{asinh}^{2}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(asinh(a*x)**2/x**4, x)","F",0
21,0,0,0,0.000000," ","integrate(asinh(a*x)**2/x**5,x)","\int \frac{\operatorname{asinh}^{2}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(asinh(a*x)**2/x**5, x)","F",0
22,1,196,0,5.446329," ","integrate(x**4*asinh(a*x)**3,x)","\begin{cases} \frac{x^{5} \operatorname{asinh}^{3}{\left(a x \right)}}{5} + \frac{6 x^{5} \operatorname{asinh}{\left(a x \right)}}{125} - \frac{3 x^{4} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{25 a} - \frac{6 x^{4} \sqrt{a^{2} x^{2} + 1}}{625 a} - \frac{8 x^{3} \operatorname{asinh}{\left(a x \right)}}{75 a^{2}} + \frac{4 x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{25 a^{3}} + \frac{272 x^{2} \sqrt{a^{2} x^{2} + 1}}{5625 a^{3}} + \frac{16 x \operatorname{asinh}{\left(a x \right)}}{25 a^{4}} - \frac{8 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{25 a^{5}} - \frac{4144 \sqrt{a^{2} x^{2} + 1}}{5625 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asinh(a*x)**3/5 + 6*x**5*asinh(a*x)/125 - 3*x**4*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(25*a) - 6*x**4*sqrt(a**2*x**2 + 1)/(625*a) - 8*x**3*asinh(a*x)/(75*a**2) + 4*x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(25*a**3) + 272*x**2*sqrt(a**2*x**2 + 1)/(5625*a**3) + 16*x*asinh(a*x)/(25*a**4) - 8*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(25*a**5) - 4144*sqrt(a**2*x**2 + 1)/(5625*a**5), Ne(a, 0)), (0, True))","A",0
23,1,160,0,3.154067," ","integrate(x**3*asinh(a*x)**3,x)","\begin{cases} \frac{x^{4} \operatorname{asinh}^{3}{\left(a x \right)}}{4} + \frac{3 x^{4} \operatorname{asinh}{\left(a x \right)}}{32} - \frac{3 x^{3} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{16 a} - \frac{3 x^{3} \sqrt{a^{2} x^{2} + 1}}{128 a} - \frac{9 x^{2} \operatorname{asinh}{\left(a x \right)}}{32 a^{2}} + \frac{9 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{32 a^{3}} + \frac{45 x \sqrt{a^{2} x^{2} + 1}}{256 a^{3}} - \frac{3 \operatorname{asinh}^{3}{\left(a x \right)}}{32 a^{4}} - \frac{45 \operatorname{asinh}{\left(a x \right)}}{256 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asinh(a*x)**3/4 + 3*x**4*asinh(a*x)/32 - 3*x**3*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(16*a) - 3*x**3*sqrt(a**2*x**2 + 1)/(128*a) - 9*x**2*asinh(a*x)/(32*a**2) + 9*x*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(32*a**3) + 45*x*sqrt(a**2*x**2 + 1)/(256*a**3) - 3*asinh(a*x)**3/(32*a**4) - 45*asinh(a*x)/(256*a**4), Ne(a, 0)), (0, True))","A",0
24,1,128,0,1.802092," ","integrate(x**2*asinh(a*x)**3,x)","\begin{cases} \frac{x^{3} \operatorname{asinh}^{3}{\left(a x \right)}}{3} + \frac{2 x^{3} \operatorname{asinh}{\left(a x \right)}}{9} - \frac{x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{3 a} - \frac{2 x^{2} \sqrt{a^{2} x^{2} + 1}}{27 a} - \frac{4 x \operatorname{asinh}{\left(a x \right)}}{3 a^{2}} + \frac{2 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{3 a^{3}} + \frac{40 \sqrt{a^{2} x^{2} + 1}}{27 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asinh(a*x)**3/3 + 2*x**3*asinh(a*x)/9 - x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(3*a) - 2*x**2*sqrt(a**2*x**2 + 1)/(27*a) - 4*x*asinh(a*x)/(3*a**2) + 2*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(3*a**3) + 40*sqrt(a**2*x**2 + 1)/(27*a**3), Ne(a, 0)), (0, True))","A",0
25,1,92,0,0.871659," ","integrate(x*asinh(a*x)**3,x)","\begin{cases} \frac{x^{2} \operatorname{asinh}^{3}{\left(a x \right)}}{2} + \frac{3 x^{2} \operatorname{asinh}{\left(a x \right)}}{4} - \frac{3 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{4 a} - \frac{3 x \sqrt{a^{2} x^{2} + 1}}{8 a} + \frac{\operatorname{asinh}^{3}{\left(a x \right)}}{4 a^{2}} + \frac{3 \operatorname{asinh}{\left(a x \right)}}{8 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asinh(a*x)**3/2 + 3*x**2*asinh(a*x)/4 - 3*x*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/(4*a) - 3*x*sqrt(a**2*x**2 + 1)/(8*a) + asinh(a*x)**3/(4*a**2) + 3*asinh(a*x)/(8*a**2), Ne(a, 0)), (0, True))","A",0
26,1,54,0,0.427010," ","integrate(asinh(a*x)**3,x)","\begin{cases} x \operatorname{asinh}^{3}{\left(a x \right)} + 6 x \operatorname{asinh}{\left(a x \right)} - \frac{3 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{2}{\left(a x \right)}}{a} - \frac{6 \sqrt{a^{2} x^{2} + 1}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asinh(a*x)**3 + 6*x*asinh(a*x) - 3*sqrt(a**2*x**2 + 1)*asinh(a*x)**2/a - 6*sqrt(a**2*x**2 + 1)/a, Ne(a, 0)), (0, True))","A",0
27,0,0,0,0.000000," ","integrate(asinh(a*x)**3/x,x)","\int \frac{\operatorname{asinh}^{3}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asinh(a*x)**3/x, x)","F",0
28,0,0,0,0.000000," ","integrate(asinh(a*x)**3/x**2,x)","\int \frac{\operatorname{asinh}^{3}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asinh(a*x)**3/x**2, x)","F",0
29,0,0,0,0.000000," ","integrate(asinh(a*x)**3/x**3,x)","\int \frac{\operatorname{asinh}^{3}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(asinh(a*x)**3/x**3, x)","F",0
30,0,0,0,0.000000," ","integrate(asinh(a*x)**3/x**4,x)","\int \frac{\operatorname{asinh}^{3}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(asinh(a*x)**3/x**4, x)","F",0
31,0,0,0,0.000000," ","integrate(asinh(a*x)**3/x**5,x)","\int \frac{\operatorname{asinh}^{3}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(asinh(a*x)**3/x**5, x)","F",0
32,1,269,0,15.201607," ","integrate(x**5*asinh(a*x)**4,x)","\begin{cases} \frac{x^{6} \operatorname{asinh}^{4}{\left(a x \right)}}{6} + \frac{x^{6} \operatorname{asinh}^{2}{\left(a x \right)}}{18} + \frac{x^{6}}{324} - \frac{x^{5} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{9 a} - \frac{x^{5} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{54 a} - \frac{5 x^{4} \operatorname{asinh}^{2}{\left(a x \right)}}{48 a^{2}} - \frac{65 x^{4}}{3456 a^{2}} + \frac{5 x^{3} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{36 a^{3}} + \frac{65 x^{3} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{864 a^{3}} + \frac{5 x^{2} \operatorname{asinh}^{2}{\left(a x \right)}}{16 a^{4}} + \frac{245 x^{2}}{1152 a^{4}} - \frac{5 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{24 a^{5}} - \frac{245 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{576 a^{5}} + \frac{5 \operatorname{asinh}^{4}{\left(a x \right)}}{96 a^{6}} + \frac{245 \operatorname{asinh}^{2}{\left(a x \right)}}{1152 a^{6}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*asinh(a*x)**4/6 + x**6*asinh(a*x)**2/18 + x**6/324 - x**5*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(9*a) - x**5*sqrt(a**2*x**2 + 1)*asinh(a*x)/(54*a) - 5*x**4*asinh(a*x)**2/(48*a**2) - 65*x**4/(3456*a**2) + 5*x**3*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(36*a**3) + 65*x**3*sqrt(a**2*x**2 + 1)*asinh(a*x)/(864*a**3) + 5*x**2*asinh(a*x)**2/(16*a**4) + 245*x**2/(1152*a**4) - 5*x*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(24*a**5) - 245*x*sqrt(a**2*x**2 + 1)*asinh(a*x)/(576*a**5) + 5*asinh(a*x)**4/(96*a**6) + 245*asinh(a*x)**2/(1152*a**6), Ne(a, 0)), (0, True))","A",0
33,1,241,0,8.860314," ","integrate(x**4*asinh(a*x)**4,x)","\begin{cases} \frac{x^{5} \operatorname{asinh}^{4}{\left(a x \right)}}{5} + \frac{12 x^{5} \operatorname{asinh}^{2}{\left(a x \right)}}{125} + \frac{24 x^{5}}{3125} - \frac{4 x^{4} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{25 a} - \frac{24 x^{4} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{625 a} - \frac{16 x^{3} \operatorname{asinh}^{2}{\left(a x \right)}}{75 a^{2}} - \frac{1088 x^{3}}{16875 a^{2}} + \frac{16 x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{75 a^{3}} + \frac{1088 x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{5625 a^{3}} + \frac{32 x \operatorname{asinh}^{2}{\left(a x \right)}}{25 a^{4}} + \frac{16576 x}{5625 a^{4}} - \frac{32 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{75 a^{5}} - \frac{16576 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{5625 a^{5}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*asinh(a*x)**4/5 + 12*x**5*asinh(a*x)**2/125 + 24*x**5/3125 - 4*x**4*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(25*a) - 24*x**4*sqrt(a**2*x**2 + 1)*asinh(a*x)/(625*a) - 16*x**3*asinh(a*x)**2/(75*a**2) - 1088*x**3/(16875*a**2) + 16*x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(75*a**3) + 1088*x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)/(5625*a**3) + 32*x*asinh(a*x)**2/(25*a**4) + 16576*x/(5625*a**4) - 32*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(75*a**5) - 16576*sqrt(a**2*x**2 + 1)*asinh(a*x)/(5625*a**5), Ne(a, 0)), (0, True))","A",0
34,1,190,0,5.556545," ","integrate(x**3*asinh(a*x)**4,x)","\begin{cases} \frac{x^{4} \operatorname{asinh}^{4}{\left(a x \right)}}{4} + \frac{3 x^{4} \operatorname{asinh}^{2}{\left(a x \right)}}{16} + \frac{3 x^{4}}{128} - \frac{x^{3} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{4 a} - \frac{3 x^{3} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{32 a} - \frac{9 x^{2} \operatorname{asinh}^{2}{\left(a x \right)}}{16 a^{2}} - \frac{45 x^{2}}{128 a^{2}} + \frac{3 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{8 a^{3}} + \frac{45 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{64 a^{3}} - \frac{3 \operatorname{asinh}^{4}{\left(a x \right)}}{32 a^{4}} - \frac{45 \operatorname{asinh}^{2}{\left(a x \right)}}{128 a^{4}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*asinh(a*x)**4/4 + 3*x**4*asinh(a*x)**2/16 + 3*x**4/128 - x**3*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(4*a) - 3*x**3*sqrt(a**2*x**2 + 1)*asinh(a*x)/(32*a) - 9*x**2*asinh(a*x)**2/(16*a**2) - 45*x**2/(128*a**2) + 3*x*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(8*a**3) + 45*x*sqrt(a**2*x**2 + 1)*asinh(a*x)/(64*a**3) - 3*asinh(a*x)**4/(32*a**4) - 45*asinh(a*x)**2/(128*a**4), Ne(a, 0)), (0, True))","A",0
35,1,158,0,3.078568," ","integrate(x**2*asinh(a*x)**4,x)","\begin{cases} \frac{x^{3} \operatorname{asinh}^{4}{\left(a x \right)}}{3} + \frac{4 x^{3} \operatorname{asinh}^{2}{\left(a x \right)}}{9} + \frac{8 x^{3}}{81} - \frac{4 x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{9 a} - \frac{8 x^{2} \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{27 a} - \frac{8 x \operatorname{asinh}^{2}{\left(a x \right)}}{3 a^{2}} - \frac{160 x}{27 a^{2}} + \frac{8 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{9 a^{3}} + \frac{160 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{27 a^{3}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*asinh(a*x)**4/3 + 4*x**3*asinh(a*x)**2/9 + 8*x**3/81 - 4*x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(9*a) - 8*x**2*sqrt(a**2*x**2 + 1)*asinh(a*x)/(27*a) - 8*x*asinh(a*x)**2/(3*a**2) - 160*x/(27*a**2) + 8*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/(9*a**3) + 160*sqrt(a**2*x**2 + 1)*asinh(a*x)/(27*a**3), Ne(a, 0)), (0, True))","A",0
36,1,104,0,1.778766," ","integrate(x*asinh(a*x)**4,x)","\begin{cases} \frac{x^{2} \operatorname{asinh}^{4}{\left(a x \right)}}{2} + \frac{3 x^{2} \operatorname{asinh}^{2}{\left(a x \right)}}{2} + \frac{3 x^{2}}{4} - \frac{x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{a} - \frac{3 x \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{2 a} + \frac{\operatorname{asinh}^{4}{\left(a x \right)}}{4 a^{2}} + \frac{3 \operatorname{asinh}^{2}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*asinh(a*x)**4/2 + 3*x**2*asinh(a*x)**2/2 + 3*x**2/4 - x*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/a - 3*x*sqrt(a**2*x**2 + 1)*asinh(a*x)/(2*a) + asinh(a*x)**4/(4*a**2) + 3*asinh(a*x)**2/(4*a**2), Ne(a, 0)), (0, True))","A",0
37,1,65,0,0.828704," ","integrate(asinh(a*x)**4,x)","\begin{cases} x \operatorname{asinh}^{4}{\left(a x \right)} + 12 x \operatorname{asinh}^{2}{\left(a x \right)} + 24 x - \frac{4 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}^{3}{\left(a x \right)}}{a} - \frac{24 \sqrt{a^{2} x^{2} + 1} \operatorname{asinh}{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\0 & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*asinh(a*x)**4 + 12*x*asinh(a*x)**2 + 24*x - 4*sqrt(a**2*x**2 + 1)*asinh(a*x)**3/a - 24*sqrt(a**2*x**2 + 1)*asinh(a*x)/a, Ne(a, 0)), (0, True))","A",0
38,0,0,0,0.000000," ","integrate(asinh(a*x)**4/x,x)","\int \frac{\operatorname{asinh}^{4}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asinh(a*x)**4/x, x)","F",0
39,0,0,0,0.000000," ","integrate(asinh(a*x)**4/x**2,x)","\int \frac{\operatorname{asinh}^{4}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asinh(a*x)**4/x**2, x)","F",0
40,0,0,0,0.000000," ","integrate(asinh(a*x)**4/x**3,x)","\int \frac{\operatorname{asinh}^{4}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(asinh(a*x)**4/x**3, x)","F",0
41,0,0,0,0.000000," ","integrate(asinh(a*x)**4/x**4,x)","\int \frac{\operatorname{asinh}^{4}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(asinh(a*x)**4/x**4, x)","F",0
42,0,0,0,0.000000," ","integrate(x**6/asinh(a*x),x)","\int \frac{x^{6}}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**6/asinh(a*x), x)","F",0
43,0,0,0,0.000000," ","integrate(x**5/asinh(a*x),x)","\int \frac{x^{5}}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**5/asinh(a*x), x)","F",0
44,0,0,0,0.000000," ","integrate(x**4/asinh(a*x),x)","\int \frac{x^{4}}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asinh(a*x), x)","F",0
45,0,0,0,0.000000," ","integrate(x**3/asinh(a*x),x)","\int \frac{x^{3}}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asinh(a*x), x)","F",0
46,0,0,0,0.000000," ","integrate(x**2/asinh(a*x),x)","\int \frac{x^{2}}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asinh(a*x), x)","F",0
47,0,0,0,0.000000," ","integrate(x/asinh(a*x),x)","\int \frac{x}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asinh(a*x), x)","F",0
48,0,0,0,0.000000," ","integrate(1/asinh(a*x),x)","\int \frac{1}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/asinh(a*x), x)","F",0
49,0,0,0,0.000000," ","integrate(1/x/asinh(a*x),x)","\int \frac{1}{x \operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asinh(a*x)), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x**2/asinh(a*x),x)","\int \frac{1}{x^{2} \operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asinh(a*x)), x)","F",0
51,0,0,0,0.000000," ","integrate(x**6/asinh(a*x)**2,x)","\int \frac{x^{6}}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**6/asinh(a*x)**2, x)","F",0
52,0,0,0,0.000000," ","integrate(x**5/asinh(a*x)**2,x)","\int \frac{x^{5}}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**5/asinh(a*x)**2, x)","F",0
53,0,0,0,0.000000," ","integrate(x**4/asinh(a*x)**2,x)","\int \frac{x^{4}}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asinh(a*x)**2, x)","F",0
54,0,0,0,0.000000," ","integrate(x**3/asinh(a*x)**2,x)","\int \frac{x^{3}}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asinh(a*x)**2, x)","F",0
55,0,0,0,0.000000," ","integrate(x**2/asinh(a*x)**2,x)","\int \frac{x^{2}}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asinh(a*x)**2, x)","F",0
56,0,0,0,0.000000," ","integrate(x/asinh(a*x)**2,x)","\int \frac{x}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asinh(a*x)**2, x)","F",0
57,0,0,0,0.000000," ","integrate(1/asinh(a*x)**2,x)","\int \frac{1}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(asinh(a*x)**(-2), x)","F",0
58,0,0,0,0.000000," ","integrate(1/x/asinh(a*x)**2,x)","\int \frac{1}{x \operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asinh(a*x)**2), x)","F",0
59,0,0,0,0.000000," ","integrate(1/x**2/asinh(a*x)**2,x)","\int \frac{1}{x^{2} \operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asinh(a*x)**2), x)","F",0
60,0,0,0,0.000000," ","integrate(x**4/asinh(a*x)**3,x)","\int \frac{x^{4}}{\operatorname{asinh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asinh(a*x)**3, x)","F",0
61,0,0,0,0.000000," ","integrate(x**3/asinh(a*x)**3,x)","\int \frac{x^{3}}{\operatorname{asinh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asinh(a*x)**3, x)","F",0
62,0,0,0,0.000000," ","integrate(x**2/asinh(a*x)**3,x)","\int \frac{x^{2}}{\operatorname{asinh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asinh(a*x)**3, x)","F",0
63,0,0,0,0.000000," ","integrate(x/asinh(a*x)**3,x)","\int \frac{x}{\operatorname{asinh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asinh(a*x)**3, x)","F",0
64,0,0,0,0.000000," ","integrate(1/asinh(a*x)**3,x)","\int \frac{1}{\operatorname{asinh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(asinh(a*x)**(-3), x)","F",0
65,0,0,0,0.000000," ","integrate(1/x/asinh(a*x)**3,x)","\int \frac{1}{x \operatorname{asinh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asinh(a*x)**3), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x**2/asinh(a*x)**3,x)","\int \frac{1}{x^{2} \operatorname{asinh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asinh(a*x)**3), x)","F",0
67,0,0,0,0.000000," ","integrate(x**4/asinh(a*x)**4,x)","\int \frac{x^{4}}{\operatorname{asinh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asinh(a*x)**4, x)","F",0
68,0,0,0,0.000000," ","integrate(x**3/asinh(a*x)**4,x)","\int \frac{x^{3}}{\operatorname{asinh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asinh(a*x)**4, x)","F",0
69,0,0,0,0.000000," ","integrate(x**2/asinh(a*x)**4,x)","\int \frac{x^{2}}{\operatorname{asinh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asinh(a*x)**4, x)","F",0
70,0,0,0,0.000000," ","integrate(x/asinh(a*x)**4,x)","\int \frac{x}{\operatorname{asinh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asinh(a*x)**4, x)","F",0
71,0,0,0,0.000000," ","integrate(1/asinh(a*x)**4,x)","\int \frac{1}{\operatorname{asinh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(asinh(a*x)**(-4), x)","F",0
72,0,0,0,0.000000," ","integrate(1/x/asinh(a*x)**4,x)","\int \frac{1}{x \operatorname{asinh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asinh(a*x)**4), x)","F",0
73,0,0,0,0.000000," ","integrate(1/x**2/asinh(a*x)**4,x)","\int \frac{1}{x^{2} \operatorname{asinh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*asinh(a*x)**4), x)","F",0
74,0,0,0,0.000000," ","integrate(x**4*asinh(a*x)**(1/2),x)","\int x^{4} \sqrt{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4*sqrt(asinh(a*x)), x)","F",0
75,0,0,0,0.000000," ","integrate(x**3*asinh(a*x)**(1/2),x)","\int x^{3} \sqrt{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3*sqrt(asinh(a*x)), x)","F",0
76,0,0,0,0.000000," ","integrate(x**2*asinh(a*x)**(1/2),x)","\int x^{2} \sqrt{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(asinh(a*x)), x)","F",0
77,0,0,0,0.000000," ","integrate(x*asinh(a*x)**(1/2),x)","\int x \sqrt{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x*sqrt(asinh(a*x)), x)","F",0
78,0,0,0,0.000000," ","integrate(asinh(a*x)**(1/2),x)","\int \sqrt{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(asinh(a*x)), x)","F",0
79,0,0,0,0.000000," ","integrate(asinh(a*x)**(1/2)/x,x)","\int \frac{\sqrt{\operatorname{asinh}{\left(a x \right)}}}{x}\, dx"," ",0,"Integral(sqrt(asinh(a*x))/x, x)","F",0
80,0,0,0,0.000000," ","integrate(x**4*asinh(a*x)**(3/2),x)","\int x^{4} \operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**4*asinh(a*x)**(3/2), x)","F",0
81,0,0,0,0.000000," ","integrate(x**3*asinh(a*x)**(3/2),x)","\int x^{3} \operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*asinh(a*x)**(3/2), x)","F",0
82,0,0,0,0.000000," ","integrate(x**2*asinh(a*x)**(3/2),x)","\int x^{2} \operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*asinh(a*x)**(3/2), x)","F",0
83,0,0,0,0.000000," ","integrate(x*asinh(a*x)**(3/2),x)","\int x \operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x*asinh(a*x)**(3/2), x)","F",0
84,0,0,0,0.000000," ","integrate(asinh(a*x)**(3/2),x)","\int \operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(asinh(a*x)**(3/2), x)","F",0
85,0,0,0,0.000000," ","integrate(asinh(a*x)**(3/2)/x,x)","\int \frac{\operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asinh(a*x)**(3/2)/x, x)","F",0
86,-1,0,0,0.000000," ","integrate(x**4*asinh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,0,0,0,0.000000," ","integrate(x**3*asinh(a*x)**(5/2),x)","\int x^{3} \operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*asinh(a*x)**(5/2), x)","F",0
88,0,0,0,0.000000," ","integrate(x**2*asinh(a*x)**(5/2),x)","\int x^{2} \operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*asinh(a*x)**(5/2), x)","F",0
89,0,0,0,0.000000," ","integrate(x*asinh(a*x)**(5/2),x)","\int x \operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x*asinh(a*x)**(5/2), x)","F",0
90,0,0,0,0.000000," ","integrate(asinh(a*x)**(5/2),x)","\int \operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(asinh(a*x)**(5/2), x)","F",0
91,0,0,0,0.000000," ","integrate(asinh(a*x)**(5/2)/x,x)","\int \frac{\operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asinh(a*x)**(5/2)/x, x)","F",0
92,0,0,0,0.000000," ","integrate(x**4/asinh(a*x)**(1/2),x)","\int \frac{x^{4}}{\sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**4/sqrt(asinh(a*x)), x)","F",0
93,0,0,0,0.000000," ","integrate(x**3/asinh(a*x)**(1/2),x)","\int \frac{x^{3}}{\sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**3/sqrt(asinh(a*x)), x)","F",0
94,0,0,0,0.000000," ","integrate(x**2/asinh(a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**2/sqrt(asinh(a*x)), x)","F",0
95,0,0,0,0.000000," ","integrate(x/asinh(a*x)**(1/2),x)","\int \frac{x}{\sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x/sqrt(asinh(a*x)), x)","F",0
96,0,0,0,0.000000," ","integrate(1/asinh(a*x)**(1/2),x)","\int \frac{1}{\sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/sqrt(asinh(a*x)), x)","F",0
97,0,0,0,0.000000," ","integrate(1/x/asinh(a*x)**(1/2),x)","\int \frac{1}{x \sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(asinh(a*x))), x)","F",0
98,0,0,0,0.000000," ","integrate(1/x**2/asinh(a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(asinh(a*x))), x)","F",0
99,0,0,0,0.000000," ","integrate(x**4/asinh(a*x)**(3/2),x)","\int \frac{x^{4}}{\operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asinh(a*x)**(3/2), x)","F",0
100,0,0,0,0.000000," ","integrate(x**3/asinh(a*x)**(3/2),x)","\int \frac{x^{3}}{\operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asinh(a*x)**(3/2), x)","F",0
101,0,0,0,0.000000," ","integrate(x**2/asinh(a*x)**(3/2),x)","\int \frac{x^{2}}{\operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asinh(a*x)**(3/2), x)","F",0
102,0,0,0,0.000000," ","integrate(x/asinh(a*x)**(3/2),x)","\int \frac{x}{\operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asinh(a*x)**(3/2), x)","F",0
103,0,0,0,0.000000," ","integrate(1/asinh(a*x)**(3/2),x)","\int \frac{1}{\operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(asinh(a*x)**(-3/2), x)","F",0
104,0,0,0,0.000000," ","integrate(1/x/asinh(a*x)**(3/2),x)","\int \frac{1}{x \operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asinh(a*x)**(3/2)), x)","F",0
105,0,0,0,0.000000," ","integrate(x**4/asinh(a*x)**(5/2),x)","\int \frac{x^{4}}{\operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asinh(a*x)**(5/2), x)","F",0
106,0,0,0,0.000000," ","integrate(x**3/asinh(a*x)**(5/2),x)","\int \frac{x^{3}}{\operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asinh(a*x)**(5/2), x)","F",0
107,0,0,0,0.000000," ","integrate(x**2/asinh(a*x)**(5/2),x)","\int \frac{x^{2}}{\operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asinh(a*x)**(5/2), x)","F",0
108,0,0,0,0.000000," ","integrate(x/asinh(a*x)**(5/2),x)","\int \frac{x}{\operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asinh(a*x)**(5/2), x)","F",0
109,0,0,0,0.000000," ","integrate(1/asinh(a*x)**(5/2),x)","\int \frac{1}{\operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(asinh(a*x)**(-5/2), x)","F",0
110,0,0,0,0.000000," ","integrate(1/x/asinh(a*x)**(5/2),x)","\int \frac{1}{x \operatorname{asinh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asinh(a*x)**(5/2)), x)","F",0
111,0,0,0,0.000000," ","integrate(x**4/asinh(a*x)**(7/2),x)","\int \frac{x^{4}}{\operatorname{asinh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/asinh(a*x)**(7/2), x)","F",0
112,0,0,0,0.000000," ","integrate(x**3/asinh(a*x)**(7/2),x)","\int \frac{x^{3}}{\operatorname{asinh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/asinh(a*x)**(7/2), x)","F",0
113,0,0,0,0.000000," ","integrate(x**2/asinh(a*x)**(7/2),x)","\int \frac{x^{2}}{\operatorname{asinh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/asinh(a*x)**(7/2), x)","F",0
114,0,0,0,0.000000," ","integrate(x/asinh(a*x)**(7/2),x)","\int \frac{x}{\operatorname{asinh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/asinh(a*x)**(7/2), x)","F",0
115,0,0,0,0.000000," ","integrate(1/asinh(a*x)**(7/2),x)","\int \frac{1}{\operatorname{asinh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(asinh(a*x)**(-7/2), x)","F",0
116,0,0,0,0.000000," ","integrate(1/x/asinh(a*x)**(7/2),x)","\int \frac{1}{x \operatorname{asinh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*asinh(a*x)**(7/2)), x)","F",0
117,0,0,0,0.000000," ","integrate(x**m*asinh(a*x)**4,x)","\int x^{m} \operatorname{asinh}^{4}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*asinh(a*x)**4, x)","F",0
118,0,0,0,0.000000," ","integrate(x**m*asinh(a*x)**3,x)","\int x^{m} \operatorname{asinh}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*asinh(a*x)**3, x)","F",0
119,0,0,0,0.000000," ","integrate(x**m*asinh(a*x)**2,x)","\int x^{m} \operatorname{asinh}^{2}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*asinh(a*x)**2, x)","F",0
120,0,0,0,0.000000," ","integrate(x**m*asinh(a*x),x)","\int x^{m} \operatorname{asinh}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*asinh(a*x), x)","F",0
121,0,0,0,0.000000," ","integrate(x**m/asinh(a*x),x)","\int \frac{x^{m}}{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/asinh(a*x), x)","F",0
122,0,0,0,0.000000," ","integrate(x**m/asinh(a*x)**2,x)","\int \frac{x^{m}}{\operatorname{asinh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/asinh(a*x)**2, x)","F",0
123,-1,0,0,0.000000," ","integrate(x**m*asinh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,0,0,0,0.000000," ","integrate(x**m*asinh(a*x)**(3/2),x)","\int x^{m} \operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*asinh(a*x)**(3/2), x)","F",0
125,0,0,0,0.000000," ","integrate(x**m*asinh(a*x)**(1/2),x)","\int x^{m} \sqrt{\operatorname{asinh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m*sqrt(asinh(a*x)), x)","F",0
126,0,0,0,0.000000," ","integrate(x**m/asinh(a*x)**(1/2),x)","\int \frac{x^{m}}{\sqrt{\operatorname{asinh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**m/sqrt(asinh(a*x)), x)","F",0
127,0,0,0,0.000000," ","integrate(x**m/asinh(a*x)**(3/2),x)","\int \frac{x^{m}}{\operatorname{asinh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/asinh(a*x)**(3/2), x)","F",0
128,0,0,0,0.000000," ","integrate((b*x)**m*asinh(a*x)**n,x)","\int \left(b x\right)^{m} \operatorname{asinh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral((b*x)**m*asinh(a*x)**n, x)","F",0
129,0,0,0,0.000000," ","integrate(x**4*asinh(a*x)**n,x)","\int x^{4} \operatorname{asinh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**4*asinh(a*x)**n, x)","F",0
130,0,0,0,0.000000," ","integrate(x**3*asinh(a*x)**n,x)","\int x^{3} \operatorname{asinh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*asinh(a*x)**n, x)","F",0
131,0,0,0,0.000000," ","integrate(x**2*asinh(a*x)**n,x)","\int x^{2} \operatorname{asinh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*asinh(a*x)**n, x)","F",0
132,0,0,0,0.000000," ","integrate(x*asinh(a*x)**n,x)","\int x \operatorname{asinh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x*asinh(a*x)**n, x)","F",0
133,0,0,0,0.000000," ","integrate(asinh(a*x)**n,x)","\int \operatorname{asinh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(asinh(a*x)**n, x)","F",0
134,0,0,0,0.000000," ","integrate(asinh(a*x)**n/x,x)","\int \frac{\operatorname{asinh}^{n}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(asinh(a*x)**n/x, x)","F",0
135,0,0,0,0.000000," ","integrate(asinh(a*x)**n/x**2,x)","\int \frac{\operatorname{asinh}^{n}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(asinh(a*x)**n/x**2, x)","F",0
136,0,0,0,0.000000," ","integrate(x**2*(a+b*asinh(c*x))**(1/2),x)","\int x^{2} \sqrt{a + b \operatorname{asinh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(a + b*asinh(c*x)), x)","F",0
137,0,0,0,0.000000," ","integrate(x*(a+b*asinh(c*x))**(1/2),x)","\int x \sqrt{a + b \operatorname{asinh}{\left(c x \right)}}\, dx"," ",0,"Integral(x*sqrt(a + b*asinh(c*x)), x)","F",0
138,0,0,0,0.000000," ","integrate((a+b*asinh(c*x))**(1/2),x)","\int \sqrt{a + b \operatorname{asinh}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*asinh(c*x)), x)","F",0
139,0,0,0,0.000000," ","integrate(x**2*(a+b*asinh(c*x))**(3/2),x)","\int x^{2} \left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a + b*asinh(c*x))**(3/2), x)","F",0
140,0,0,0,0.000000," ","integrate(x*(a+b*asinh(c*x))**(3/2),x)","\int x \left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a + b*asinh(c*x))**(3/2), x)","F",0
141,0,0,0,0.000000," ","integrate((a+b*asinh(c*x))**(3/2),x)","\int \left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*asinh(c*x))**(3/2), x)","F",0
142,0,0,0,0.000000," ","integrate(x**2*(a+b*asinh(c*x))**(5/2),x)","\int x^{2} \left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x**2*(a + b*asinh(c*x))**(5/2), x)","F",0
143,0,0,0,0.000000," ","integrate(x*(a+b*asinh(c*x))**(5/2),x)","\int x \left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x*(a + b*asinh(c*x))**(5/2), x)","F",0
144,0,0,0,0.000000," ","integrate((a+b*asinh(c*x))**(5/2),x)","\int \left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*asinh(c*x))**(5/2), x)","F",0
145,0,0,0,0.000000," ","integrate(x**2/(a+b*asinh(c*x))**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + b \operatorname{asinh}{\left(c x \right)}}}\, dx"," ",0,"Integral(x**2/sqrt(a + b*asinh(c*x)), x)","F",0
146,0,0,0,0.000000," ","integrate(x/(a+b*asinh(c*x))**(1/2),x)","\int \frac{x}{\sqrt{a + b \operatorname{asinh}{\left(c x \right)}}}\, dx"," ",0,"Integral(x/sqrt(a + b*asinh(c*x)), x)","F",0
147,0,0,0,0.000000," ","integrate(1/(a+b*asinh(c*x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{asinh}{\left(c x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*asinh(c*x)), x)","F",0
148,0,0,0,0.000000," ","integrate(x**2/(a+b*asinh(c*x))**(3/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*asinh(c*x))**(3/2), x)","F",0
149,0,0,0,0.000000," ","integrate(x/(a+b*asinh(c*x))**(3/2),x)","\int \frac{x}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(a + b*asinh(c*x))**(3/2), x)","F",0
150,0,0,0,0.000000," ","integrate(1/(a+b*asinh(c*x))**(3/2),x)","\int \frac{1}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*asinh(c*x))**(-3/2), x)","F",0
151,0,0,0,0.000000," ","integrate(x**2/(a+b*asinh(c*x))**(5/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*asinh(c*x))**(5/2), x)","F",0
152,0,0,0,0.000000," ","integrate(x/(a+b*asinh(c*x))**(5/2),x)","\int \frac{x}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x/(a + b*asinh(c*x))**(5/2), x)","F",0
153,0,0,0,0.000000," ","integrate(1/(a+b*asinh(c*x))**(5/2),x)","\int \frac{1}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*asinh(c*x))**(-5/2), x)","F",0
154,0,0,0,0.000000," ","integrate(x**2/(a+b*asinh(c*x))**(7/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*asinh(c*x))**(7/2), x)","F",0
155,0,0,0,0.000000," ","integrate(x/(a+b*asinh(c*x))**(7/2),x)","\int \frac{x}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(x/(a + b*asinh(c*x))**(7/2), x)","F",0
156,0,0,0,0.000000," ","integrate(1/(a+b*asinh(c*x))**(7/2),x)","\int \frac{1}{\left(a + b \operatorname{asinh}{\left(c x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((a + b*asinh(c*x))**(-7/2), x)","F",0
