1,1,76,0,2.115143," ","integrate(x**4*acosh(a*x),x)","\begin{cases} \frac{x^{5} \operatorname{acosh}{\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 \\\frac{i \pi x^{5}}{10} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*acosh(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)), (I*pi*x**5/10, True))","A",0
2,1,68,0,1.036646," ","integrate(x**3*acosh(a*x),x)","\begin{cases} \frac{x^{4} \operatorname{acosh}{\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{acosh}{\left(a x \right)}}{32 a^{4}} & \text{for}\: a \neq 0 \\\frac{i \pi x^{4}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acosh(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*acosh(a*x)/(32*a**4), Ne(a, 0)), (I*pi*x**4/8, True))","A",0
3,1,54,0,0.497141," ","integrate(x**2*acosh(a*x),x)","\begin{cases} \frac{x^{3} \operatorname{acosh}{\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 \\\frac{i \pi x^{3}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*acosh(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)), (I*pi*x**3/6, True))","A",0
4,1,44,0,0.225873," ","integrate(x*acosh(a*x),x)","\begin{cases} \frac{x^{2} \operatorname{acosh}{\left(a x \right)}}{2} - \frac{x \sqrt{a^{2} x^{2} - 1}}{4 a} - \frac{\operatorname{acosh}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\\frac{i \pi x^{2}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acosh(a*x)/2 - x*sqrt(a**2*x**2 - 1)/(4*a) - acosh(a*x)/(4*a**2), Ne(a, 0)), (I*pi*x**2/4, True))","A",0
5,1,26,0,0.149231," ","integrate(acosh(a*x),x)","\begin{cases} x \operatorname{acosh}{\left(a x \right)} - \frac{\sqrt{a^{2} x^{2} - 1}}{a} & \text{for}\: a \neq 0 \\\frac{i \pi x}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acosh(a*x) - sqrt(a**2*x**2 - 1)/a, Ne(a, 0)), (I*pi*x/2, True))","A",0
6,0,0,0,0.000000," ","integrate(acosh(a*x)/x,x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acosh(a*x)/x, x)","F",0
7,0,0,0,0.000000," ","integrate(acosh(a*x)/x**2,x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(acosh(a*x)/x**2, x)","F",0
8,0,0,0,0.000000," ","integrate(acosh(a*x)/x**3,x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(acosh(a*x)/x**3, x)","F",0
9,0,0,0,0.000000," ","integrate(acosh(a*x)/x**4,x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(acosh(a*x)/x**4, x)","F",0
10,0,0,0,0.000000," ","integrate(acosh(a*x)/x**5,x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(acosh(a*x)/x**5, x)","F",0
11,0,0,0,0.000000," ","integrate(acosh(a*x)/x**6,x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x^{6}}\, dx"," ",0,"Integral(acosh(a*x)/x**6, x)","F",0
12,1,122,0,3.418512," ","integrate(x**4*acosh(a*x)**2,x)","\begin{cases} \frac{x^{5} \operatorname{acosh}^{2}{\left(a x \right)}}{5} + \frac{2 x^{5}}{125} - \frac{2 x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{25 a} + \frac{8 x^{3}}{225 a^{2}} - \frac{8 x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{75 a^{3}} + \frac{16 x}{75 a^{4}} - \frac{16 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{75 a^{5}} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x^{5}}{20} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*acosh(a*x)**2/5 + 2*x**5/125 - 2*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)/(25*a) + 8*x**3/(225*a**2) - 8*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/(75*a**3) + 16*x/(75*a**4) - 16*sqrt(a**2*x**2 - 1)*acosh(a*x)/(75*a**5), Ne(a, 0)), (-pi**2*x**5/20, True))","A",0
13,1,99,0,2.058471," ","integrate(x**3*acosh(a*x)**2,x)","\begin{cases} \frac{x^{4} \operatorname{acosh}^{2}{\left(a x \right)}}{4} + \frac{x^{4}}{32} - \frac{x^{3} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{8 a} + \frac{3 x^{2}}{32 a^{2}} - \frac{3 x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{16 a^{3}} - \frac{3 \operatorname{acosh}^{2}{\left(a x \right)}}{32 a^{4}} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x^{4}}{16} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acosh(a*x)**2/4 + x**4/32 - x**3*sqrt(a**2*x**2 - 1)*acosh(a*x)/(8*a) + 3*x**2/(32*a**2) - 3*x*sqrt(a**2*x**2 - 1)*acosh(a*x)/(16*a**3) - 3*acosh(a*x)**2/(32*a**4), Ne(a, 0)), (-pi**2*x**4/16, True))","A",0
14,1,85,0,0.973680," ","integrate(x**2*acosh(a*x)**2,x)","\begin{cases} \frac{x^{3} \operatorname{acosh}^{2}{\left(a x \right)}}{3} + \frac{2 x^{3}}{27} - \frac{2 x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{9 a} + \frac{4 x}{9 a^{2}} - \frac{4 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{9 a^{3}} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x^{3}}{12} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*acosh(a*x)**2/3 + 2*x**3/27 - 2*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/(9*a) + 4*x/(9*a**2) - 4*sqrt(a**2*x**2 - 1)*acosh(a*x)/(9*a**3), Ne(a, 0)), (-pi**2*x**3/12, True))","A",0
15,1,60,0,0.487359," ","integrate(x*acosh(a*x)**2,x)","\begin{cases} \frac{x^{2} \operatorname{acosh}^{2}{\left(a x \right)}}{2} + \frac{x^{2}}{4} - \frac{x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{2 a} - \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x^{2}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acosh(a*x)**2/2 + x**2/4 - x*sqrt(a**2*x**2 - 1)*acosh(a*x)/(2*a) - acosh(a*x)**2/(4*a**2), Ne(a, 0)), (-pi**2*x**2/8, True))","A",0
16,1,39,0,0.209819," ","integrate(acosh(a*x)**2,x)","\begin{cases} x \operatorname{acosh}^{2}{\left(a x \right)} + 2 x - \frac{2 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} x}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acosh(a*x)**2 + 2*x - 2*sqrt(a**2*x**2 - 1)*acosh(a*x)/a, Ne(a, 0)), (-pi**2*x/4, True))","A",0
17,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x,x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acosh(a*x)**2/x, x)","F",0
18,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x**2,x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(acosh(a*x)**2/x**2, x)","F",0
19,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x**3,x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(acosh(a*x)**2/x**3, x)","F",0
20,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x**4,x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(acosh(a*x)**2/x**4, x)","F",0
21,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x**5,x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(acosh(a*x)**2/x**5, x)","F",0
22,1,206,0,6.061686," ","integrate(x**4*acosh(a*x)**3,x)","\begin{cases} \frac{x^{5} \operatorname{acosh}^{3}{\left(a x \right)}}{5} + \frac{6 x^{5} \operatorname{acosh}{\left(a x \right)}}{125} - \frac{3 x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{25 a} - \frac{6 x^{4} \sqrt{a^{2} x^{2} - 1}}{625 a} + \frac{8 x^{3} \operatorname{acosh}{\left(a x \right)}}{75 a^{2}} - \frac{4 x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{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{acosh}{\left(a x \right)}}{25 a^{4}} - \frac{8 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{25 a^{5}} - \frac{4144 \sqrt{a^{2} x^{2} - 1}}{5625 a^{5}} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} x^{5}}{40} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*acosh(a*x)**3/5 + 6*x**5*acosh(a*x)/125 - 3*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(25*a) - 6*x**4*sqrt(a**2*x**2 - 1)/(625*a) + 8*x**3*acosh(a*x)/(75*a**2) - 4*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(25*a**3) - 272*x**2*sqrt(a**2*x**2 - 1)/(5625*a**3) + 16*x*acosh(a*x)/(25*a**4) - 8*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(25*a**5) - 4144*sqrt(a**2*x**2 - 1)/(5625*a**5), Ne(a, 0)), (-I*pi**3*x**5/40, True))","A",0
23,1,170,0,3.958919," ","integrate(x**3*acosh(a*x)**3,x)","\begin{cases} \frac{x^{4} \operatorname{acosh}^{3}{\left(a x \right)}}{4} + \frac{3 x^{4} \operatorname{acosh}{\left(a x \right)}}{32} - \frac{3 x^{3} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{16 a} - \frac{3 x^{3} \sqrt{a^{2} x^{2} - 1}}{128 a} + \frac{9 x^{2} \operatorname{acosh}{\left(a x \right)}}{32 a^{2}} - \frac{9 x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{32 a^{3}} - \frac{45 x \sqrt{a^{2} x^{2} - 1}}{256 a^{3}} - \frac{3 \operatorname{acosh}^{3}{\left(a x \right)}}{32 a^{4}} - \frac{45 \operatorname{acosh}{\left(a x \right)}}{256 a^{4}} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} x^{4}}{32} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acosh(a*x)**3/4 + 3*x**4*acosh(a*x)/32 - 3*x**3*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(16*a) - 3*x**3*sqrt(a**2*x**2 - 1)/(128*a) + 9*x**2*acosh(a*x)/(32*a**2) - 9*x*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(32*a**3) - 45*x*sqrt(a**2*x**2 - 1)/(256*a**3) - 3*acosh(a*x)**3/(32*a**4) - 45*acosh(a*x)/(256*a**4), Ne(a, 0)), (-I*pi**3*x**4/32, True))","A",0
24,1,138,0,2.042137," ","integrate(x**2*acosh(a*x)**3,x)","\begin{cases} \frac{x^{3} \operatorname{acosh}^{3}{\left(a x \right)}}{3} + \frac{2 x^{3} \operatorname{acosh}{\left(a x \right)}}{9} - \frac{x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{3 a} - \frac{2 x^{2} \sqrt{a^{2} x^{2} - 1}}{27 a} + \frac{4 x \operatorname{acosh}{\left(a x \right)}}{3 a^{2}} - \frac{2 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{3 a^{3}} - \frac{40 \sqrt{a^{2} x^{2} - 1}}{27 a^{3}} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} x^{3}}{24} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*acosh(a*x)**3/3 + 2*x**3*acosh(a*x)/9 - x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(3*a) - 2*x**2*sqrt(a**2*x**2 - 1)/(27*a) + 4*x*acosh(a*x)/(3*a**2) - 2*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(3*a**3) - 40*sqrt(a**2*x**2 - 1)/(27*a**3), Ne(a, 0)), (-I*pi**3*x**3/24, True))","A",0
25,1,102,0,0.983010," ","integrate(x*acosh(a*x)**3,x)","\begin{cases} \frac{x^{2} \operatorname{acosh}^{3}{\left(a x \right)}}{2} + \frac{3 x^{2} \operatorname{acosh}{\left(a x \right)}}{4} - \frac{3 x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{4 a} - \frac{3 x \sqrt{a^{2} x^{2} - 1}}{8 a} - \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{4 a^{2}} - \frac{3 \operatorname{acosh}{\left(a x \right)}}{8 a^{2}} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} x^{2}}{16} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acosh(a*x)**3/2 + 3*x**2*acosh(a*x)/4 - 3*x*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(4*a) - 3*x*sqrt(a**2*x**2 - 1)/(8*a) - acosh(a*x)**3/(4*a**2) - 3*acosh(a*x)/(8*a**2), Ne(a, 0)), (-I*pi**3*x**2/16, True))","A",0
26,1,63,0,0.479600," ","integrate(acosh(a*x)**3,x)","\begin{cases} x \operatorname{acosh}^{3}{\left(a x \right)} + 6 x \operatorname{acosh}{\left(a x \right)} - \frac{3 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{a} - \frac{6 \sqrt{a^{2} x^{2} - 1}}{a} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} x}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acosh(a*x)**3 + 6*x*acosh(a*x) - 3*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/a - 6*sqrt(a**2*x**2 - 1)/a, Ne(a, 0)), (-I*pi**3*x/8, True))","A",0
27,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x,x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acosh(a*x)**3/x, x)","F",0
28,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x**2,x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(acosh(a*x)**3/x**2, x)","F",0
29,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x**3,x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(acosh(a*x)**3/x**3, x)","F",0
30,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x**4,x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(acosh(a*x)**3/x**4, x)","F",0
31,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x**5,x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x^{5}}\, dx"," ",0,"Integral(acosh(a*x)**3/x**5, x)","F",0
32,1,275,0,16.788151," ","integrate(x**5*acosh(a*x)**4,x)","\begin{cases} \frac{x^{6} \operatorname{acosh}^{4}{\left(a x \right)}}{6} + \frac{x^{6} \operatorname{acosh}^{2}{\left(a x \right)}}{18} + \frac{x^{6}}{324} - \frac{x^{5} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{9 a} - \frac{x^{5} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{54 a} + \frac{5 x^{4} \operatorname{acosh}^{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{acosh}^{3}{\left(a x \right)}}{36 a^{3}} - \frac{65 x^{3} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{864 a^{3}} + \frac{5 x^{2} \operatorname{acosh}^{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{acosh}^{3}{\left(a x \right)}}{24 a^{5}} - \frac{245 x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{576 a^{5}} - \frac{5 \operatorname{acosh}^{4}{\left(a x \right)}}{96 a^{6}} - \frac{245 \operatorname{acosh}^{2}{\left(a x \right)}}{1152 a^{6}} & \text{for}\: a \neq 0 \\\frac{\pi^{4} x^{6}}{96} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**6*acosh(a*x)**4/6 + x**6*acosh(a*x)**2/18 + x**6/324 - x**5*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(9*a) - x**5*sqrt(a**2*x**2 - 1)*acosh(a*x)/(54*a) + 5*x**4*acosh(a*x)**2/(48*a**2) + 65*x**4/(3456*a**2) - 5*x**3*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(36*a**3) - 65*x**3*sqrt(a**2*x**2 - 1)*acosh(a*x)/(864*a**3) + 5*x**2*acosh(a*x)**2/(16*a**4) + 245*x**2/(1152*a**4) - 5*x*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(24*a**5) - 245*x*sqrt(a**2*x**2 - 1)*acosh(a*x)/(576*a**5) - 5*acosh(a*x)**4/(96*a**6) - 245*acosh(a*x)**2/(1152*a**6), Ne(a, 0)), (pi**4*x**6/96, True))","A",0
33,1,248,0,9.975178," ","integrate(x**4*acosh(a*x)**4,x)","\begin{cases} \frac{x^{5} \operatorname{acosh}^{4}{\left(a x \right)}}{5} + \frac{12 x^{5} \operatorname{acosh}^{2}{\left(a x \right)}}{125} + \frac{24 x^{5}}{3125} - \frac{4 x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{25 a} - \frac{24 x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{625 a} + \frac{16 x^{3} \operatorname{acosh}^{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{acosh}^{3}{\left(a x \right)}}{75 a^{3}} - \frac{1088 x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{5625 a^{3}} + \frac{32 x \operatorname{acosh}^{2}{\left(a x \right)}}{25 a^{4}} + \frac{16576 x}{5625 a^{4}} - \frac{32 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{75 a^{5}} - \frac{16576 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{5625 a^{5}} & \text{for}\: a \neq 0 \\\frac{\pi^{4} x^{5}}{80} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**5*acosh(a*x)**4/5 + 12*x**5*acosh(a*x)**2/125 + 24*x**5/3125 - 4*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(25*a) - 24*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)/(625*a) + 16*x**3*acosh(a*x)**2/(75*a**2) + 1088*x**3/(16875*a**2) - 16*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(75*a**3) - 1088*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/(5625*a**3) + 32*x*acosh(a*x)**2/(25*a**4) + 16576*x/(5625*a**4) - 32*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(75*a**5) - 16576*sqrt(a**2*x**2 - 1)*acosh(a*x)/(5625*a**5), Ne(a, 0)), (pi**4*x**5/80, True))","A",0
34,1,197,0,6.452680," ","integrate(x**3*acosh(a*x)**4,x)","\begin{cases} \frac{x^{4} \operatorname{acosh}^{4}{\left(a x \right)}}{4} + \frac{3 x^{4} \operatorname{acosh}^{2}{\left(a x \right)}}{16} + \frac{3 x^{4}}{128} - \frac{x^{3} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{4 a} - \frac{3 x^{3} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{32 a} + \frac{9 x^{2} \operatorname{acosh}^{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{acosh}^{3}{\left(a x \right)}}{8 a^{3}} - \frac{45 x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{64 a^{3}} - \frac{3 \operatorname{acosh}^{4}{\left(a x \right)}}{32 a^{4}} - \frac{45 \operatorname{acosh}^{2}{\left(a x \right)}}{128 a^{4}} & \text{for}\: a \neq 0 \\\frac{\pi^{4} x^{4}}{64} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acosh(a*x)**4/4 + 3*x**4*acosh(a*x)**2/16 + 3*x**4/128 - x**3*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(4*a) - 3*x**3*sqrt(a**2*x**2 - 1)*acosh(a*x)/(32*a) + 9*x**2*acosh(a*x)**2/(16*a**2) + 45*x**2/(128*a**2) - 3*x*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(8*a**3) - 45*x*sqrt(a**2*x**2 - 1)*acosh(a*x)/(64*a**3) - 3*acosh(a*x)**4/(32*a**4) - 45*acosh(a*x)**2/(128*a**4), Ne(a, 0)), (pi**4*x**4/64, True))","A",0
35,1,165,0,3.568503," ","integrate(x**2*acosh(a*x)**4,x)","\begin{cases} \frac{x^{3} \operatorname{acosh}^{4}{\left(a x \right)}}{3} + \frac{4 x^{3} \operatorname{acosh}^{2}{\left(a x \right)}}{9} + \frac{8 x^{3}}{81} - \frac{4 x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{9 a} - \frac{8 x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{27 a} + \frac{8 x \operatorname{acosh}^{2}{\left(a x \right)}}{3 a^{2}} + \frac{160 x}{27 a^{2}} - \frac{8 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{9 a^{3}} - \frac{160 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{27 a^{3}} & \text{for}\: a \neq 0 \\\frac{\pi^{4} x^{3}}{48} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*acosh(a*x)**4/3 + 4*x**3*acosh(a*x)**2/9 + 8*x**3/81 - 4*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(9*a) - 8*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/(27*a) + 8*x*acosh(a*x)**2/(3*a**2) + 160*x/(27*a**2) - 8*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/(9*a**3) - 160*sqrt(a**2*x**2 - 1)*acosh(a*x)/(27*a**3), Ne(a, 0)), (pi**4*x**3/48, True))","A",0
36,1,110,0,2.053269," ","integrate(x*acosh(a*x)**4,x)","\begin{cases} \frac{x^{2} \operatorname{acosh}^{4}{\left(a x \right)}}{2} + \frac{3 x^{2} \operatorname{acosh}^{2}{\left(a x \right)}}{2} + \frac{3 x^{2}}{4} - \frac{x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{a} - \frac{3 x \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{2 a} - \frac{\operatorname{acosh}^{4}{\left(a x \right)}}{4 a^{2}} - \frac{3 \operatorname{acosh}^{2}{\left(a x \right)}}{4 a^{2}} & \text{for}\: a \neq 0 \\\frac{\pi^{4} x^{2}}{32} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acosh(a*x)**4/2 + 3*x**2*acosh(a*x)**2/2 + 3*x**2/4 - x*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/a - 3*x*sqrt(a**2*x**2 - 1)*acosh(a*x)/(2*a) - acosh(a*x)**4/(4*a**2) - 3*acosh(a*x)**2/(4*a**2), Ne(a, 0)), (pi**4*x**2/32, True))","A",0
37,1,70,0,0.947631," ","integrate(acosh(a*x)**4,x)","\begin{cases} x \operatorname{acosh}^{4}{\left(a x \right)} + 12 x \operatorname{acosh}^{2}{\left(a x \right)} + 24 x - \frac{4 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{3}{\left(a x \right)}}{a} - \frac{24 \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{a} & \text{for}\: a \neq 0 \\\frac{\pi^{4} x}{16} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*acosh(a*x)**4 + 12*x*acosh(a*x)**2 + 24*x - 4*sqrt(a**2*x**2 - 1)*acosh(a*x)**3/a - 24*sqrt(a**2*x**2 - 1)*acosh(a*x)/a, Ne(a, 0)), (pi**4*x/16, True))","A",0
38,0,0,0,0.000000," ","integrate(acosh(a*x)**4/x,x)","\int \frac{\operatorname{acosh}^{4}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acosh(a*x)**4/x, x)","F",0
39,0,0,0,0.000000," ","integrate(acosh(a*x)**4/x**2,x)","\int \frac{\operatorname{acosh}^{4}{\left(a x \right)}}{x^{2}}\, dx"," ",0,"Integral(acosh(a*x)**4/x**2, x)","F",0
40,0,0,0,0.000000," ","integrate(acosh(a*x)**4/x**3,x)","\int \frac{\operatorname{acosh}^{4}{\left(a x \right)}}{x^{3}}\, dx"," ",0,"Integral(acosh(a*x)**4/x**3, x)","F",0
41,0,0,0,0.000000," ","integrate(acosh(a*x)**4/x**4,x)","\int \frac{\operatorname{acosh}^{4}{\left(a x \right)}}{x^{4}}\, dx"," ",0,"Integral(acosh(a*x)**4/x**4, x)","F",0
42,0,0,0,0.000000," ","integrate(x**6/acosh(a*x),x)","\int \frac{x^{6}}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**6/acosh(a*x), x)","F",0
43,0,0,0,0.000000," ","integrate(x**5/acosh(a*x),x)","\int \frac{x^{5}}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**5/acosh(a*x), x)","F",0
44,0,0,0,0.000000," ","integrate(x**4/acosh(a*x),x)","\int \frac{x^{4}}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/acosh(a*x), x)","F",0
45,0,0,0,0.000000," ","integrate(x**3/acosh(a*x),x)","\int \frac{x^{3}}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/acosh(a*x), x)","F",0
46,0,0,0,0.000000," ","integrate(x**2/acosh(a*x),x)","\int \frac{x^{2}}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/acosh(a*x), x)","F",0
47,0,0,0,0.000000," ","integrate(x/acosh(a*x),x)","\int \frac{x}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x/acosh(a*x), x)","F",0
48,0,0,0,0.000000," ","integrate(1/acosh(a*x),x)","\int \frac{1}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/acosh(a*x), x)","F",0
49,0,0,0,0.000000," ","integrate(1/x/acosh(a*x),x)","\int \frac{1}{x \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*acosh(a*x)), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x**2/acosh(a*x),x)","\int \frac{1}{x^{2} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*acosh(a*x)), x)","F",0
51,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)**2,x)","\int \frac{x^{4}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/acosh(a*x)**2, x)","F",0
52,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)**2,x)","\int \frac{x^{3}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/acosh(a*x)**2, x)","F",0
53,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)**2,x)","\int \frac{x^{2}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/acosh(a*x)**2, x)","F",0
54,0,0,0,0.000000," ","integrate(x/acosh(a*x)**2,x)","\int \frac{x}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x/acosh(a*x)**2, x)","F",0
55,0,0,0,0.000000," ","integrate(1/acosh(a*x)**2,x)","\int \frac{1}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(acosh(a*x)**(-2), x)","F",0
56,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)**2,x)","\int \frac{1}{x \operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*acosh(a*x)**2), x)","F",0
57,0,0,0,0.000000," ","integrate(1/x**2/acosh(a*x)**2,x)","\int \frac{1}{x^{2} \operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*acosh(a*x)**2), x)","F",0
58,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)**3,x)","\int \frac{x^{4}}{\operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/acosh(a*x)**3, x)","F",0
59,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)**3,x)","\int \frac{x^{3}}{\operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/acosh(a*x)**3, x)","F",0
60,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)**3,x)","\int \frac{x^{2}}{\operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/acosh(a*x)**3, x)","F",0
61,0,0,0,0.000000," ","integrate(x/acosh(a*x)**3,x)","\int \frac{x}{\operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x/acosh(a*x)**3, x)","F",0
62,0,0,0,0.000000," ","integrate(1/acosh(a*x)**3,x)","\int \frac{1}{\operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(acosh(a*x)**(-3), x)","F",0
63,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)**3,x)","\int \frac{1}{x \operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*acosh(a*x)**3), x)","F",0
64,0,0,0,0.000000," ","integrate(1/x**2/acosh(a*x)**3,x)","\int \frac{1}{x^{2} \operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*acosh(a*x)**3), x)","F",0
65,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)**4,x)","\int \frac{x^{4}}{\operatorname{acosh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/acosh(a*x)**4, x)","F",0
66,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)**4,x)","\int \frac{x^{3}}{\operatorname{acosh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/acosh(a*x)**4, x)","F",0
67,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)**4,x)","\int \frac{x^{2}}{\operatorname{acosh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/acosh(a*x)**4, x)","F",0
68,0,0,0,0.000000," ","integrate(x/acosh(a*x)**4,x)","\int \frac{x}{\operatorname{acosh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(x/acosh(a*x)**4, x)","F",0
69,0,0,0,0.000000," ","integrate(1/acosh(a*x)**4,x)","\int \frac{1}{\operatorname{acosh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(acosh(a*x)**(-4), x)","F",0
70,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)**4,x)","\int \frac{1}{x \operatorname{acosh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*acosh(a*x)**4), x)","F",0
71,0,0,0,0.000000," ","integrate(1/x**2/acosh(a*x)**4,x)","\int \frac{1}{x^{2} \operatorname{acosh}^{4}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*acosh(a*x)**4), x)","F",0
72,0,0,0,0.000000," ","integrate(x**4*acosh(a*x)**(1/2),x)","\int x^{4} \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4*sqrt(acosh(a*x)), x)","F",0
73,0,0,0,0.000000," ","integrate(x**3*acosh(a*x)**(1/2),x)","\int x^{3} \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3*sqrt(acosh(a*x)), x)","F",0
74,0,0,0,0.000000," ","integrate(x**2*acosh(a*x)**(1/2),x)","\int x^{2} \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(acosh(a*x)), x)","F",0
75,0,0,0,0.000000," ","integrate(x*acosh(a*x)**(1/2),x)","\int x \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x*sqrt(acosh(a*x)), x)","F",0
76,0,0,0,0.000000," ","integrate(acosh(a*x)**(1/2),x)","\int \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(acosh(a*x)), x)","F",0
77,0,0,0,0.000000," ","integrate(acosh(a*x)**(1/2)/x,x)","\int \frac{\sqrt{\operatorname{acosh}{\left(a x \right)}}}{x}\, dx"," ",0,"Integral(sqrt(acosh(a*x))/x, x)","F",0
78,0,0,0,0.000000," ","integrate(x**4*acosh(a*x)**(3/2),x)","\int x^{4} \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**4*acosh(a*x)**(3/2), x)","F",0
79,0,0,0,0.000000," ","integrate(x**3*acosh(a*x)**(3/2),x)","\int x^{3} \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*acosh(a*x)**(3/2), x)","F",0
80,0,0,0,0.000000," ","integrate(x**2*acosh(a*x)**(3/2),x)","\int x^{2} \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*acosh(a*x)**(3/2), x)","F",0
81,0,0,0,0.000000," ","integrate(x*acosh(a*x)**(3/2),x)","\int x \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x*acosh(a*x)**(3/2), x)","F",0
82,0,0,0,0.000000," ","integrate(acosh(a*x)**(3/2),x)","\int \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(acosh(a*x)**(3/2), x)","F",0
83,0,0,0,0.000000," ","integrate(acosh(a*x)**(3/2)/x,x)","\int \frac{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acosh(a*x)**(3/2)/x, x)","F",0
84,-1,0,0,0.000000," ","integrate(x**4*acosh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,0,0,0,0.000000," ","integrate(x**3*acosh(a*x)**(5/2),x)","\int x^{3} \operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*acosh(a*x)**(5/2), x)","F",0
86,0,0,0,0.000000," ","integrate(x**2*acosh(a*x)**(5/2),x)","\int x^{2} \operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*acosh(a*x)**(5/2), x)","F",0
87,0,0,0,0.000000," ","integrate(x*acosh(a*x)**(5/2),x)","\int x \operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x*acosh(a*x)**(5/2), x)","F",0
88,0,0,0,0.000000," ","integrate(acosh(a*x)**(5/2),x)","\int \operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(acosh(a*x)**(5/2), x)","F",0
89,0,0,0,0.000000," ","integrate(acosh(a*x)**(5/2)/x,x)","\int \frac{\operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acosh(a*x)**(5/2)/x, x)","F",0
90,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)**(1/2),x)","\int \frac{x^{4}}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**4/sqrt(acosh(a*x)), x)","F",0
91,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)**(1/2),x)","\int \frac{x^{3}}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**3/sqrt(acosh(a*x)), x)","F",0
92,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**2/sqrt(acosh(a*x)), x)","F",0
93,0,0,0,0.000000," ","integrate(x/acosh(a*x)**(1/2),x)","\int \frac{x}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x/sqrt(acosh(a*x)), x)","F",0
94,0,0,0,0.000000," ","integrate(1/acosh(a*x)**(1/2),x)","\int \frac{1}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/sqrt(acosh(a*x)), x)","F",0
95,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)**(1/2),x)","\int \frac{1}{x \sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(acosh(a*x))), x)","F",0
96,0,0,0,0.000000," ","integrate(1/x**2/acosh(a*x)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(x**2*sqrt(acosh(a*x))), x)","F",0
97,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)**(3/2),x)","\int \frac{x^{4}}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/acosh(a*x)**(3/2), x)","F",0
98,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)**(3/2),x)","\int \frac{x^{3}}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/acosh(a*x)**(3/2), x)","F",0
99,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)**(3/2),x)","\int \frac{x^{2}}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/acosh(a*x)**(3/2), x)","F",0
100,0,0,0,0.000000," ","integrate(x/acosh(a*x)**(3/2),x)","\int \frac{x}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/acosh(a*x)**(3/2), x)","F",0
101,0,0,0,0.000000," ","integrate(1/acosh(a*x)**(3/2),x)","\int \frac{1}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(acosh(a*x)**(-3/2), x)","F",0
102,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)**(3/2),x)","\int \frac{1}{x \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*acosh(a*x)**(3/2)), x)","F",0
103,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)**(5/2),x)","\int \frac{x^{4}}{\operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/acosh(a*x)**(5/2), x)","F",0
104,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)**(5/2),x)","\int \frac{x^{3}}{\operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/acosh(a*x)**(5/2), x)","F",0
105,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)**(5/2),x)","\int \frac{x^{2}}{\operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/acosh(a*x)**(5/2), x)","F",0
106,0,0,0,0.000000," ","integrate(x/acosh(a*x)**(5/2),x)","\int \frac{x}{\operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/acosh(a*x)**(5/2), x)","F",0
107,0,0,0,0.000000," ","integrate(1/acosh(a*x)**(5/2),x)","\int \frac{1}{\operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(acosh(a*x)**(-5/2), x)","F",0
108,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)**(5/2),x)","\int \frac{1}{x \operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*acosh(a*x)**(5/2)), x)","F",0
109,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)**(7/2),x)","\int \frac{x^{4}}{\operatorname{acosh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/acosh(a*x)**(7/2), x)","F",0
110,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)**(7/2),x)","\int \frac{x^{3}}{\operatorname{acosh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/acosh(a*x)**(7/2), x)","F",0
111,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)**(7/2),x)","\int \frac{x^{2}}{\operatorname{acosh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/acosh(a*x)**(7/2), x)","F",0
112,0,0,0,0.000000," ","integrate(x/acosh(a*x)**(7/2),x)","\int \frac{x}{\operatorname{acosh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x/acosh(a*x)**(7/2), x)","F",0
113,0,0,0,0.000000," ","integrate(1/acosh(a*x)**(7/2),x)","\int \frac{1}{\operatorname{acosh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(acosh(a*x)**(-7/2), x)","F",0
114,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)**(7/2),x)","\int \frac{1}{x \operatorname{acosh}^{\frac{7}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*acosh(a*x)**(7/2)), x)","F",0
115,0,0,0,0.000000," ","integrate(x**m*acosh(a*x)**4,x)","\int x^{m} \operatorname{acosh}^{4}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*acosh(a*x)**4, x)","F",0
116,0,0,0,0.000000," ","integrate(x**m*acosh(a*x)**3,x)","\int x^{m} \operatorname{acosh}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*acosh(a*x)**3, x)","F",0
117,0,0,0,0.000000," ","integrate(x**m*acosh(a*x)**2,x)","\int x^{m} \operatorname{acosh}^{2}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*acosh(a*x)**2, x)","F",0
118,0,0,0,0.000000," ","integrate(x**m*acosh(a*x),x)","\int x^{m} \operatorname{acosh}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*acosh(a*x), x)","F",0
119,0,0,0,0.000000," ","integrate(x**m/acosh(a*x),x)","\int \frac{x^{m}}{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/acosh(a*x), x)","F",0
120,0,0,0,0.000000," ","integrate(x**m/acosh(a*x)**2,x)","\int \frac{x^{m}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/acosh(a*x)**2, x)","F",0
121,0,0,0,0.000000," ","integrate(x**m/acosh(a*x)**3,x)","\int \frac{x^{m}}{\operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/acosh(a*x)**3, x)","F",0
122,0,0,0,0.000000," ","integrate(x**m*acosh(a*x)**(3/2),x)","\int x^{m} \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(x**m*acosh(a*x)**(3/2), x)","F",0
123,0,0,0,0.000000," ","integrate(x**m*acosh(a*x)**(1/2),x)","\int x^{m} \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m*sqrt(acosh(a*x)), x)","F",0
124,0,0,0,0.000000," ","integrate(x**m/acosh(a*x)**(1/2),x)","\int \frac{x^{m}}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(x**m/sqrt(acosh(a*x)), x)","F",0
125,0,0,0,0.000000," ","integrate(x**m/acosh(a*x)**(3/2),x)","\int \frac{x^{m}}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(x**m/acosh(a*x)**(3/2), x)","F",0
126,0,0,0,0.000000," ","integrate((d*x)**m*acosh(a*x)**n,x)","\int \left(d x\right)^{m} \operatorname{acosh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral((d*x)**m*acosh(a*x)**n, x)","F",0
127,0,0,0,0.000000," ","integrate(x**4*acosh(a*x)**n,x)","\int x^{4} \operatorname{acosh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**4*acosh(a*x)**n, x)","F",0
128,0,0,0,0.000000," ","integrate(x**3*acosh(a*x)**n,x)","\int x^{3} \operatorname{acosh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**3*acosh(a*x)**n, x)","F",0
129,0,0,0,0.000000," ","integrate(x**2*acosh(a*x)**n,x)","\int x^{2} \operatorname{acosh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x**2*acosh(a*x)**n, x)","F",0
130,0,0,0,0.000000," ","integrate(x*acosh(a*x)**n,x)","\int x \operatorname{acosh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(x*acosh(a*x)**n, x)","F",0
131,0,0,0,0.000000," ","integrate(acosh(a*x)**n,x)","\int \operatorname{acosh}^{n}{\left(a x \right)}\, dx"," ",0,"Integral(acosh(a*x)**n, x)","F",0
132,0,0,0,0.000000," ","integrate(acosh(a*x)**n/x,x)","\int \frac{\operatorname{acosh}^{n}{\left(a x \right)}}{x}\, dx"," ",0,"Integral(acosh(a*x)**n/x, x)","F",0
133,1,87,0,0.981188," ","integrate(x**3*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a x^{4}}{4} + \frac{b x^{4} \operatorname{acosh}{\left(c x \right)}}{4} - \frac{b x^{3} \sqrt{c^{2} x^{2} - 1}}{16 c} - \frac{3 b x \sqrt{c^{2} x^{2} - 1}}{32 c^{3}} - \frac{3 b \operatorname{acosh}{\left(c x \right)}}{32 c^{4}} & \text{for}\: c \neq 0 \\\frac{x^{4} \left(a + \frac{i \pi b}{2}\right)}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**4/4 + b*x**4*acosh(c*x)/4 - b*x**3*sqrt(c**2*x**2 - 1)/(16*c) - 3*b*x*sqrt(c**2*x**2 - 1)/(32*c**3) - 3*b*acosh(c*x)/(32*c**4), Ne(c, 0)), (x**4*(a + I*pi*b/2)/4, True))","A",0
134,1,71,0,0.536642," ","integrate(x**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a x^{3}}{3} + \frac{b x^{3} \operatorname{acosh}{\left(c x \right)}}{3} - \frac{b x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{2 b \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} & \text{for}\: c \neq 0 \\\frac{x^{3} \left(a + \frac{i \pi b}{2}\right)}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**3/3 + b*x**3*acosh(c*x)/3 - b*x**2*sqrt(c**2*x**2 - 1)/(9*c) - 2*b*sqrt(c**2*x**2 - 1)/(9*c**3), Ne(c, 0)), (x**3*(a + I*pi*b/2)/3, True))","A",0
135,1,61,0,0.264826," ","integrate(x*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a x^{2}}{2} + \frac{b x^{2} \operatorname{acosh}{\left(c x \right)}}{2} - \frac{b x \sqrt{c^{2} x^{2} - 1}}{4 c} - \frac{b \operatorname{acosh}{\left(c x \right)}}{4 c^{2}} & \text{for}\: c \neq 0 \\\frac{x^{2} \left(a + \frac{i \pi b}{2}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**2/2 + b*x**2*acosh(c*x)/2 - b*x*sqrt(c**2*x**2 - 1)/(4*c) - b*acosh(c*x)/(4*c**2), Ne(c, 0)), (x**2*(a + I*pi*b/2)/2, True))","A",0
136,1,31,0,0.139753," ","integrate(a+b*acosh(c*x),x)","a x + b \left(\begin{cases} x \operatorname{acosh}{\left(c x \right)} - \frac{\sqrt{c^{2} x^{2} - 1}}{c} & \text{for}\: c \neq 0 \\\frac{i \pi x}{2} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((x*acosh(c*x) - sqrt(c**2*x**2 - 1)/c, Ne(c, 0)), (I*pi*x/2, True))","A",0
137,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x}\, dx"," ",0,"Integral((a + b*acosh(c*x))/x, x)","F",0
138,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/x**2, x)","F",0
139,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/x**3, x)","F",0
140,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/x**4, x)","F",0
141,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**5,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{5}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/x**5, x)","F",0
142,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**(1/2),x)","\int x^{2} \sqrt{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(a + b*acosh(c*x)), x)","F",0
143,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**(1/2),x)","\int x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x*sqrt(a + b*acosh(c*x)), x)","F",0
144,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**(1/2),x)","\int \sqrt{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*acosh(c*x)), x)","F",0
145,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**(3/2),x)","\int x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**(3/2), x)","F",0
146,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**(3/2),x)","\int x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**(3/2), x)","F",0
147,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**(3/2),x)","\int \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**(3/2), x)","F",0
148,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**(5/2),x)","\int x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**(5/2), x)","F",0
149,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**(5/2),x)","\int x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**(5/2), x)","F",0
150,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**(5/2),x)","\int \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**(5/2), x)","F",0
151,0,0,0,0.000000," ","integrate(x**2/(a+b*acosh(c*x))**(1/2),x)","\int \frac{x^{2}}{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}}}\, dx"," ",0,"Integral(x**2/sqrt(a + b*acosh(c*x)), x)","F",0
152,0,0,0,0.000000," ","integrate(x/(a+b*acosh(c*x))**(1/2),x)","\int \frac{x}{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}}}\, dx"," ",0,"Integral(x/sqrt(a + b*acosh(c*x)), x)","F",0
153,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*acosh(c*x)), x)","F",0
154,0,0,0,0.000000," ","integrate(x**2/(a+b*acosh(c*x))**(3/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*acosh(c*x))**(3/2), x)","F",0
155,0,0,0,0.000000," ","integrate(x/(a+b*acosh(c*x))**(3/2),x)","\int \frac{x}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(a + b*acosh(c*x))**(3/2), x)","F",0
156,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))**(3/2),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**(-3/2), x)","F",0
157,0,0,0,0.000000," ","integrate(x**2/(a+b*acosh(c*x))**(5/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*acosh(c*x))**(5/2), x)","F",0
158,0,0,0,0.000000," ","integrate(x/(a+b*acosh(c*x))**(5/2),x)","\int \frac{x}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x/(a + b*acosh(c*x))**(5/2), x)","F",0
159,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))**(5/2),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**(-5/2), x)","F",0
160,0,0,0,0.000000," ","integrate(x**2/(a+b*acosh(c*x))**(7/2),x)","\int \frac{x^{2}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(x**2/(a + b*acosh(c*x))**(7/2), x)","F",0
161,0,0,0,0.000000," ","integrate(x/(a+b*acosh(c*x))**(7/2),x)","\int \frac{x}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(x/(a + b*acosh(c*x))**(7/2), x)","F",0
162,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))**(7/2),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**(-7/2), x)","F",0
163,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2*(f*x)**(1/2),x)","\int \sqrt{f x} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(f*x)*(a + b*acosh(c*x))**2, x)","F",0
164,0,0,0,0.000000," ","integrate((d*x)**m*(a+b*acosh(c*x))**2,x)","\int \left(d x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((d*x)**m*(a + b*acosh(c*x))**2, x)","F",0
165,0,0,0,0.000000," ","integrate((d*x)**m*(a+b*acosh(c*x)),x)","\int \left(d x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral((d*x)**m*(a + b*acosh(c*x)), x)","F",0
166,0,0,0,0.000000," ","integrate((d*x)**m/(a+b*acosh(c*x)),x)","\int \frac{\left(d x\right)^{m}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral((d*x)**m/(a + b*acosh(c*x)), x)","F",0
