1,1,158,0,6.017800," ","integrate(x**4*(-c**2*d*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{7}}{7} + \frac{a d x^{5}}{5} - \frac{b c^{2} d x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{b c d x^{6} \sqrt{c^{2} x^{2} - 1}}{49} + \frac{b d x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{19 b d x^{4} \sqrt{c^{2} x^{2} - 1}}{1225 c} - \frac{76 b d x^{2} \sqrt{c^{2} x^{2} - 1}}{3675 c^{3}} - \frac{152 b d \sqrt{c^{2} x^{2} - 1}}{3675 c^{5}} & \text{for}\: c \neq 0 \\\frac{d x^{5} \left(a + \frac{i \pi b}{2}\right)}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**7/7 + a*d*x**5/5 - b*c**2*d*x**7*acosh(c*x)/7 + b*c*d*x**6*sqrt(c**2*x**2 - 1)/49 + b*d*x**5*acosh(c*x)/5 - 19*b*d*x**4*sqrt(c**2*x**2 - 1)/(1225*c) - 76*b*d*x**2*sqrt(c**2*x**2 - 1)/(3675*c**3) - 152*b*d*sqrt(c**2*x**2 - 1)/(3675*c**5), Ne(c, 0)), (d*x**5*(a + I*pi*b/2)/5, True))","A",0
2,1,144,0,3.979937," ","integrate(x**3*(-c**2*d*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{6}}{6} + \frac{a d x^{4}}{4} - \frac{b c^{2} d x^{6} \operatorname{acosh}{\left(c x \right)}}{6} + \frac{b c d x^{5} \sqrt{c^{2} x^{2} - 1}}{36} + \frac{b d x^{4} \operatorname{acosh}{\left(c x \right)}}{4} - \frac{b d x^{3} \sqrt{c^{2} x^{2} - 1}}{36 c} - \frac{b d x \sqrt{c^{2} x^{2} - 1}}{24 c^{3}} - \frac{b d \operatorname{acosh}{\left(c x \right)}}{24 c^{4}} & \text{for}\: c \neq 0 \\\frac{d x^{4} \left(a + \frac{i \pi b}{2}\right)}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**6/6 + a*d*x**4/4 - b*c**2*d*x**6*acosh(c*x)/6 + b*c*d*x**5*sqrt(c**2*x**2 - 1)/36 + b*d*x**4*acosh(c*x)/4 - b*d*x**3*sqrt(c**2*x**2 - 1)/(36*c) - b*d*x*sqrt(c**2*x**2 - 1)/(24*c**3) - b*d*acosh(c*x)/(24*c**4), Ne(c, 0)), (d*x**4*(a + I*pi*b/2)/4, True))","A",0
3,1,133,0,2.283450," ","integrate(x**2*(-c**2*d*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{5}}{5} + \frac{a d x^{3}}{3} - \frac{b c^{2} d x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{b c d x^{4} \sqrt{c^{2} x^{2} - 1}}{25} + \frac{b d x^{3} \operatorname{acosh}{\left(c x \right)}}{3} - \frac{13 b d x^{2} \sqrt{c^{2} x^{2} - 1}}{225 c} - \frac{26 b d \sqrt{c^{2} x^{2} - 1}}{225 c^{3}} & \text{for}\: c \neq 0 \\\frac{d x^{3} \left(a + \frac{i \pi b}{2}\right)}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**5/5 + a*d*x**3/3 - b*c**2*d*x**5*acosh(c*x)/5 + b*c*d*x**4*sqrt(c**2*x**2 - 1)/25 + b*d*x**3*acosh(c*x)/3 - 13*b*d*x**2*sqrt(c**2*x**2 - 1)/(225*c) - 26*b*d*sqrt(c**2*x**2 - 1)/(225*c**3), Ne(c, 0)), (d*x**3*(a + I*pi*b/2)/3, True))","A",0
4,1,124,0,1.273623," ","integrate(x*(-c**2*d*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{4}}{4} + \frac{a d x^{2}}{2} - \frac{b c^{2} d x^{4} \operatorname{acosh}{\left(c x \right)}}{4} + \frac{b c d x^{3} \sqrt{c^{2} x^{2} - 1}}{16} + \frac{b d x^{2} \operatorname{acosh}{\left(c x \right)}}{2} - \frac{5 b d x \sqrt{c^{2} x^{2} - 1}}{32 c} - \frac{5 b d \operatorname{acosh}{\left(c x \right)}}{32 c^{2}} & \text{for}\: c \neq 0 \\\frac{d x^{2} \left(a + \frac{i \pi b}{2}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**4/4 + a*d*x**2/2 - b*c**2*d*x**4*acosh(c*x)/4 + b*c*d*x**3*sqrt(c**2*x**2 - 1)/16 + b*d*x**2*acosh(c*x)/2 - 5*b*d*x*sqrt(c**2*x**2 - 1)/(32*c) - 5*b*d*acosh(c*x)/(32*c**2), Ne(c, 0)), (d*x**2*(a + I*pi*b/2)/2, True))","A",0
5,1,97,0,0.584874," ","integrate((-c**2*d*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{2} d x^{3}}{3} + a d x - \frac{b c^{2} d x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{b c d x^{2} \sqrt{c^{2} x^{2} - 1}}{9} + b d x \operatorname{acosh}{\left(c x \right)} - \frac{7 b d \sqrt{c^{2} x^{2} - 1}}{9 c} & \text{for}\: c \neq 0 \\d x \left(a + \frac{i \pi b}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**2*d*x**3/3 + a*d*x - b*c**2*d*x**3*acosh(c*x)/3 + b*c*d*x**2*sqrt(c**2*x**2 - 1)/9 + b*d*x*acosh(c*x) - 7*b*d*sqrt(c**2*x**2 - 1)/(9*c), Ne(c, 0)), (d*x*(a + I*pi*b/2), True))","A",0
6,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*acosh(c*x))/x,x)","- d \left(\int \left(- \frac{a}{x}\right)\, dx + \int a c^{2} x\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x}\right)\, dx + \int b c^{2} x \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"-d*(Integral(-a/x, x) + Integral(a*c**2*x, x) + Integral(-b*acosh(c*x)/x, x) + Integral(b*c**2*x*acosh(c*x), x))","F",0
7,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*acosh(c*x))/x**2,x)","- d \left(\int a c^{2}\, dx + \int \left(- \frac{a}{x^{2}}\right)\, dx + \int b c^{2} \operatorname{acosh}{\left(c x \right)}\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{2}}\right)\, dx\right)"," ",0,"-d*(Integral(a*c**2, x) + Integral(-a/x**2, x) + Integral(b*c**2*acosh(c*x), x) + Integral(-b*acosh(c*x)/x**2, x))","F",0
8,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*acosh(c*x))/x**3,x)","- d \left(\int \left(- \frac{a}{x^{3}}\right)\, dx + \int \frac{a c^{2}}{x}\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \frac{b c^{2} \operatorname{acosh}{\left(c x \right)}}{x}\, dx\right)"," ",0,"-d*(Integral(-a/x**3, x) + Integral(a*c**2/x, x) + Integral(-b*acosh(c*x)/x**3, x) + Integral(b*c**2*acosh(c*x)/x, x))","F",0
9,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)*(a+b*acosh(c*x))/x**4,x)","- d \left(\int \left(- \frac{a}{x^{4}}\right)\, dx + \int \frac{a c^{2}}{x^{2}}\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{4}}\right)\, dx + \int \frac{b c^{2} \operatorname{acosh}{\left(c x \right)}}{x^{2}}\, dx\right)"," ",0,"-d*(Integral(-a/x**4, x) + Integral(a*c**2/x**2, x) + Integral(-b*acosh(c*x)/x**4, x) + Integral(b*c**2*acosh(c*x)/x**2, x))","F",0
10,1,236,0,16.463497," ","integrate(x**4*(-c**2*d*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{9}}{9} - \frac{2 a c^{2} d^{2} x^{7}}{7} + \frac{a d^{2} x^{5}}{5} + \frac{b c^{4} d^{2} x^{9} \operatorname{acosh}{\left(c x \right)}}{9} - \frac{b c^{3} d^{2} x^{8} \sqrt{c^{2} x^{2} - 1}}{81} - \frac{2 b c^{2} d^{2} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{106 b c d^{2} x^{6} \sqrt{c^{2} x^{2} - 1}}{3969} + \frac{b d^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{263 b d^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{33075 c} - \frac{1052 b d^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{99225 c^{3}} - \frac{2104 b d^{2} \sqrt{c^{2} x^{2} - 1}}{99225 c^{5}} & \text{for}\: c \neq 0 \\\frac{d^{2} x^{5} \left(a + \frac{i \pi b}{2}\right)}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**9/9 - 2*a*c**2*d**2*x**7/7 + a*d**2*x**5/5 + b*c**4*d**2*x**9*acosh(c*x)/9 - b*c**3*d**2*x**8*sqrt(c**2*x**2 - 1)/81 - 2*b*c**2*d**2*x**7*acosh(c*x)/7 + 106*b*c*d**2*x**6*sqrt(c**2*x**2 - 1)/3969 + b*d**2*x**5*acosh(c*x)/5 - 263*b*d**2*x**4*sqrt(c**2*x**2 - 1)/(33075*c) - 1052*b*d**2*x**2*sqrt(c**2*x**2 - 1)/(99225*c**3) - 2104*b*d**2*sqrt(c**2*x**2 - 1)/(99225*c**5), Ne(c, 0)), (d**2*x**5*(a + I*pi*b/2)/5, True))","A",0
11,1,224,0,11.276110," ","integrate(x**3*(-c**2*d*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{8}}{8} - \frac{a c^{2} d^{2} x^{6}}{3} + \frac{a d^{2} x^{4}}{4} + \frac{b c^{4} d^{2} x^{8} \operatorname{acosh}{\left(c x \right)}}{8} - \frac{b c^{3} d^{2} x^{7} \sqrt{c^{2} x^{2} - 1}}{64} - \frac{b c^{2} d^{2} x^{6} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{43 b c d^{2} x^{5} \sqrt{c^{2} x^{2} - 1}}{1152} + \frac{b d^{2} x^{4} \operatorname{acosh}{\left(c x \right)}}{4} - \frac{73 b d^{2} x^{3} \sqrt{c^{2} x^{2} - 1}}{4608 c} - \frac{73 b d^{2} x \sqrt{c^{2} x^{2} - 1}}{3072 c^{3}} - \frac{73 b d^{2} \operatorname{acosh}{\left(c x \right)}}{3072 c^{4}} & \text{for}\: c \neq 0 \\\frac{d^{2} x^{4} \left(a + \frac{i \pi b}{2}\right)}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**8/8 - a*c**2*d**2*x**6/3 + a*d**2*x**4/4 + b*c**4*d**2*x**8*acosh(c*x)/8 - b*c**3*d**2*x**7*sqrt(c**2*x**2 - 1)/64 - b*c**2*d**2*x**6*acosh(c*x)/3 + 43*b*c*d**2*x**5*sqrt(c**2*x**2 - 1)/1152 + b*d**2*x**4*acosh(c*x)/4 - 73*b*d**2*x**3*sqrt(c**2*x**2 - 1)/(4608*c) - 73*b*d**2*x*sqrt(c**2*x**2 - 1)/(3072*c**3) - 73*b*d**2*acosh(c*x)/(3072*c**4), Ne(c, 0)), (d**2*x**4*(a + I*pi*b/2)/4, True))","A",0
12,1,209,0,6.133787," ","integrate(x**2*(-c**2*d*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{7}}{7} - \frac{2 a c^{2} d^{2} x^{5}}{5} + \frac{a d^{2} x^{3}}{3} + \frac{b c^{4} d^{2} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} - \frac{b c^{3} d^{2} x^{6} \sqrt{c^{2} x^{2} - 1}}{49} - \frac{2 b c^{2} d^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{68 b c d^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{1225} + \frac{b d^{2} x^{3} \operatorname{acosh}{\left(c x \right)}}{3} - \frac{409 b d^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{11025 c} - \frac{818 b d^{2} \sqrt{c^{2} x^{2} - 1}}{11025 c^{3}} & \text{for}\: c \neq 0 \\\frac{d^{2} x^{3} \left(a + \frac{i \pi b}{2}\right)}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**7/7 - 2*a*c**2*d**2*x**5/5 + a*d**2*x**3/3 + b*c**4*d**2*x**7*acosh(c*x)/7 - b*c**3*d**2*x**6*sqrt(c**2*x**2 - 1)/49 - 2*b*c**2*d**2*x**5*acosh(c*x)/5 + 68*b*c*d**2*x**4*sqrt(c**2*x**2 - 1)/1225 + b*d**2*x**3*acosh(c*x)/3 - 409*b*d**2*x**2*sqrt(c**2*x**2 - 1)/(11025*c) - 818*b*d**2*sqrt(c**2*x**2 - 1)/(11025*c**3), Ne(c, 0)), (d**2*x**3*(a + I*pi*b/2)/3, True))","A",0
13,1,197,0,4.217426," ","integrate(x*(-c**2*d*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{6}}{6} - \frac{a c^{2} d^{2} x^{4}}{2} + \frac{a d^{2} x^{2}}{2} + \frac{b c^{4} d^{2} x^{6} \operatorname{acosh}{\left(c x \right)}}{6} - \frac{b c^{3} d^{2} x^{5} \sqrt{c^{2} x^{2} - 1}}{36} - \frac{b c^{2} d^{2} x^{4} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{13 b c d^{2} x^{3} \sqrt{c^{2} x^{2} - 1}}{144} + \frac{b d^{2} x^{2} \operatorname{acosh}{\left(c x \right)}}{2} - \frac{11 b d^{2} x \sqrt{c^{2} x^{2} - 1}}{96 c} - \frac{11 b d^{2} \operatorname{acosh}{\left(c x \right)}}{96 c^{2}} & \text{for}\: c \neq 0 \\\frac{d^{2} x^{2} \left(a + \frac{i \pi b}{2}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**6/6 - a*c**2*d**2*x**4/2 + a*d**2*x**2/2 + b*c**4*d**2*x**6*acosh(c*x)/6 - b*c**3*d**2*x**5*sqrt(c**2*x**2 - 1)/36 - b*c**2*d**2*x**4*acosh(c*x)/2 + 13*b*c*d**2*x**3*sqrt(c**2*x**2 - 1)/144 + b*d**2*x**2*acosh(c*x)/2 - 11*b*d**2*x*sqrt(c**2*x**2 - 1)/(96*c) - 11*b*d**2*acosh(c*x)/(96*c**2), Ne(c, 0)), (d**2*x**2*(a + I*pi*b/2)/2, True))","A",0
14,1,172,0,2.230956," ","integrate((-c**2*d*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a c^{4} d^{2} x^{5}}{5} - \frac{2 a c^{2} d^{2} x^{3}}{3} + a d^{2} x + \frac{b c^{4} d^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{b c^{3} d^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{25} - \frac{2 b c^{2} d^{2} x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{38 b c d^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{225} + b d^{2} x \operatorname{acosh}{\left(c x \right)} - \frac{149 b d^{2} \sqrt{c^{2} x^{2} - 1}}{225 c} & \text{for}\: c \neq 0 \\d^{2} x \left(a + \frac{i \pi b}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**4*d**2*x**5/5 - 2*a*c**2*d**2*x**3/3 + a*d**2*x + b*c**4*d**2*x**5*acosh(c*x)/5 - b*c**3*d**2*x**4*sqrt(c**2*x**2 - 1)/25 - 2*b*c**2*d**2*x**3*acosh(c*x)/3 + 38*b*c*d**2*x**2*sqrt(c**2*x**2 - 1)/225 + b*d**2*x*acosh(c*x) - 149*b*d**2*sqrt(c**2*x**2 - 1)/(225*c), Ne(c, 0)), (d**2*x*(a + I*pi*b/2), True))","A",0
15,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*acosh(c*x))/x,x)","d^{2} \left(\int \frac{a}{x}\, dx + \int \left(- 2 a c^{2} x\right)\, dx + \int a c^{4} x^{3}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{x}\, dx + \int \left(- 2 b c^{2} x \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int b c^{4} x^{3} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a/x, x) + Integral(-2*a*c**2*x, x) + Integral(a*c**4*x**3, x) + Integral(b*acosh(c*x)/x, x) + Integral(-2*b*c**2*x*acosh(c*x), x) + Integral(b*c**4*x**3*acosh(c*x), x))","F",0
16,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*acosh(c*x))/x**2,x)","d^{2} \left(\int \left(- 2 a c^{2}\right)\, dx + \int \frac{a}{x^{2}}\, dx + \int a c^{4} x^{2}\, dx + \int \left(- 2 b c^{2} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{2}}\, dx + \int b c^{4} x^{2} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(-2*a*c**2, x) + Integral(a/x**2, x) + Integral(a*c**4*x**2, x) + Integral(-2*b*c**2*acosh(c*x), x) + Integral(b*acosh(c*x)/x**2, x) + Integral(b*c**4*x**2*acosh(c*x), x))","F",0
17,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*acosh(c*x))/x**3,x)","d^{2} \left(\int \frac{a}{x^{3}}\, dx + \int \left(- \frac{2 a c^{2}}{x}\right)\, dx + \int a c^{4} x\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{3}}\, dx + \int \left(- \frac{2 b c^{2} \operatorname{acosh}{\left(c x \right)}}{x}\right)\, dx + \int b c^{4} x \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a/x**3, x) + Integral(-2*a*c**2/x, x) + Integral(a*c**4*x, x) + Integral(b*acosh(c*x)/x**3, x) + Integral(-2*b*c**2*acosh(c*x)/x, x) + Integral(b*c**4*x*acosh(c*x), x))","F",0
18,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2*(a+b*acosh(c*x))/x**4,x)","d^{2} \left(\int a c^{4}\, dx + \int \frac{a}{x^{4}}\, dx + \int \left(- \frac{2 a c^{2}}{x^{2}}\right)\, dx + \int b c^{4} \operatorname{acosh}{\left(c x \right)}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{4}}\, dx + \int \left(- \frac{2 b c^{2} \operatorname{acosh}{\left(c x \right)}}{x^{2}}\right)\, dx\right)"," ",0,"d**2*(Integral(a*c**4, x) + Integral(a/x**4, x) + Integral(-2*a*c**2/x**2, x) + Integral(b*c**4*acosh(c*x), x) + Integral(b*acosh(c*x)/x**4, x) + Integral(-2*b*c**2*acosh(c*x)/x**2, x))","F",0
19,1,296,0,39.284474," ","integrate(x**4*(-c**2*d*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{11}}{11} + \frac{a c^{4} d^{3} x^{9}}{3} - \frac{3 a c^{2} d^{3} x^{7}}{7} + \frac{a d^{3} x^{5}}{5} - \frac{b c^{6} d^{3} x^{11} \operatorname{acosh}{\left(c x \right)}}{11} + \frac{b c^{5} d^{3} x^{10} \sqrt{c^{2} x^{2} - 1}}{121} + \frac{b c^{4} d^{3} x^{9} \operatorname{acosh}{\left(c x \right)}}{3} - \frac{91 b c^{3} d^{3} x^{8} \sqrt{c^{2} x^{2} - 1}}{3267} - \frac{3 b c^{2} d^{3} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{4705 b c d^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{160083} + \frac{b d^{3} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{6311 b d^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{1334025 c} - \frac{25244 b d^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{4002075 c^{3}} - \frac{50488 b d^{3} \sqrt{c^{2} x^{2} - 1}}{4002075 c^{5}} & \text{for}\: c \neq 0 \\\frac{d^{3} x^{5} \left(a + \frac{i \pi b}{2}\right)}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**11/11 + a*c**4*d**3*x**9/3 - 3*a*c**2*d**3*x**7/7 + a*d**3*x**5/5 - b*c**6*d**3*x**11*acosh(c*x)/11 + b*c**5*d**3*x**10*sqrt(c**2*x**2 - 1)/121 + b*c**4*d**3*x**9*acosh(c*x)/3 - 91*b*c**3*d**3*x**8*sqrt(c**2*x**2 - 1)/3267 - 3*b*c**2*d**3*x**7*acosh(c*x)/7 + 4705*b*c*d**3*x**6*sqrt(c**2*x**2 - 1)/160083 + b*d**3*x**5*acosh(c*x)/5 - 6311*b*d**3*x**4*sqrt(c**2*x**2 - 1)/(1334025*c) - 25244*b*d**3*x**2*sqrt(c**2*x**2 - 1)/(4002075*c**3) - 50488*b*d**3*sqrt(c**2*x**2 - 1)/(4002075*c**5), Ne(c, 0)), (d**3*x**5*(a + I*pi*b/2)/5, True))","A",0
20,1,287,0,28.393793," ","integrate(x**3*(-c**2*d*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{10}}{10} + \frac{3 a c^{4} d^{3} x^{8}}{8} - \frac{a c^{2} d^{3} x^{6}}{2} + \frac{a d^{3} x^{4}}{4} - \frac{b c^{6} d^{3} x^{10} \operatorname{acosh}{\left(c x \right)}}{10} + \frac{b c^{5} d^{3} x^{9} \sqrt{c^{2} x^{2} - 1}}{100} + \frac{3 b c^{4} d^{3} x^{8} \operatorname{acosh}{\left(c x \right)}}{8} - \frac{57 b c^{3} d^{3} x^{7} \sqrt{c^{2} x^{2} - 1}}{1600} - \frac{b c^{2} d^{3} x^{6} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{401 b c d^{3} x^{5} \sqrt{c^{2} x^{2} - 1}}{9600} + \frac{b d^{3} x^{4} \operatorname{acosh}{\left(c x \right)}}{4} - \frac{79 b d^{3} x^{3} \sqrt{c^{2} x^{2} - 1}}{7680 c} - \frac{79 b d^{3} x \sqrt{c^{2} x^{2} - 1}}{5120 c^{3}} - \frac{79 b d^{3} \operatorname{acosh}{\left(c x \right)}}{5120 c^{4}} & \text{for}\: c \neq 0 \\\frac{d^{3} x^{4} \left(a + \frac{i \pi b}{2}\right)}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**10/10 + 3*a*c**4*d**3*x**8/8 - a*c**2*d**3*x**6/2 + a*d**3*x**4/4 - b*c**6*d**3*x**10*acosh(c*x)/10 + b*c**5*d**3*x**9*sqrt(c**2*x**2 - 1)/100 + 3*b*c**4*d**3*x**8*acosh(c*x)/8 - 57*b*c**3*d**3*x**7*sqrt(c**2*x**2 - 1)/1600 - b*c**2*d**3*x**6*acosh(c*x)/2 + 401*b*c*d**3*x**5*sqrt(c**2*x**2 - 1)/9600 + b*d**3*x**4*acosh(c*x)/4 - 79*b*d**3*x**3*sqrt(c**2*x**2 - 1)/(7680*c) - 79*b*d**3*x*sqrt(c**2*x**2 - 1)/(5120*c**3) - 79*b*d**3*acosh(c*x)/(5120*c**4), Ne(c, 0)), (d**3*x**4*(a + I*pi*b/2)/4, True))","A",0
21,1,272,0,16.710471," ","integrate(x**2*(-c**2*d*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{9}}{9} + \frac{3 a c^{4} d^{3} x^{7}}{7} - \frac{3 a c^{2} d^{3} x^{5}}{5} + \frac{a d^{3} x^{3}}{3} - \frac{b c^{6} d^{3} x^{9} \operatorname{acosh}{\left(c x \right)}}{9} + \frac{b c^{5} d^{3} x^{8} \sqrt{c^{2} x^{2} - 1}}{81} + \frac{3 b c^{4} d^{3} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} - \frac{187 b c^{3} d^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{3969} - \frac{3 b c^{2} d^{3} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{2099 b c d^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{33075} + \frac{b d^{3} x^{3} \operatorname{acosh}{\left(c x \right)}}{3} - \frac{2629 b d^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{99225 c} - \frac{5258 b d^{3} \sqrt{c^{2} x^{2} - 1}}{99225 c^{3}} & \text{for}\: c \neq 0 \\\frac{d^{3} x^{3} \left(a + \frac{i \pi b}{2}\right)}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**9/9 + 3*a*c**4*d**3*x**7/7 - 3*a*c**2*d**3*x**5/5 + a*d**3*x**3/3 - b*c**6*d**3*x**9*acosh(c*x)/9 + b*c**5*d**3*x**8*sqrt(c**2*x**2 - 1)/81 + 3*b*c**4*d**3*x**7*acosh(c*x)/7 - 187*b*c**3*d**3*x**6*sqrt(c**2*x**2 - 1)/3969 - 3*b*c**2*d**3*x**5*acosh(c*x)/5 + 2099*b*c*d**3*x**4*sqrt(c**2*x**2 - 1)/33075 + b*d**3*x**3*acosh(c*x)/3 - 2629*b*d**3*x**2*sqrt(c**2*x**2 - 1)/(99225*c) - 5258*b*d**3*sqrt(c**2*x**2 - 1)/(99225*c**3), Ne(c, 0)), (d**3*x**3*(a + I*pi*b/2)/3, True))","A",0
22,1,260,0,11.614903," ","integrate(x*(-c**2*d*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{8}}{8} + \frac{a c^{4} d^{3} x^{6}}{2} - \frac{3 a c^{2} d^{3} x^{4}}{4} + \frac{a d^{3} x^{2}}{2} - \frac{b c^{6} d^{3} x^{8} \operatorname{acosh}{\left(c x \right)}}{8} + \frac{b c^{5} d^{3} x^{7} \sqrt{c^{2} x^{2} - 1}}{64} + \frac{b c^{4} d^{3} x^{6} \operatorname{acosh}{\left(c x \right)}}{2} - \frac{25 b c^{3} d^{3} x^{5} \sqrt{c^{2} x^{2} - 1}}{384} - \frac{3 b c^{2} d^{3} x^{4} \operatorname{acosh}{\left(c x \right)}}{4} + \frac{163 b c d^{3} x^{3} \sqrt{c^{2} x^{2} - 1}}{1536} + \frac{b d^{3} x^{2} \operatorname{acosh}{\left(c x \right)}}{2} - \frac{93 b d^{3} x \sqrt{c^{2} x^{2} - 1}}{1024 c} - \frac{93 b d^{3} \operatorname{acosh}{\left(c x \right)}}{1024 c^{2}} & \text{for}\: c \neq 0 \\\frac{d^{3} x^{2} \left(a + \frac{i \pi b}{2}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**8/8 + a*c**4*d**3*x**6/2 - 3*a*c**2*d**3*x**4/4 + a*d**3*x**2/2 - b*c**6*d**3*x**8*acosh(c*x)/8 + b*c**5*d**3*x**7*sqrt(c**2*x**2 - 1)/64 + b*c**4*d**3*x**6*acosh(c*x)/2 - 25*b*c**3*d**3*x**5*sqrt(c**2*x**2 - 1)/384 - 3*b*c**2*d**3*x**4*acosh(c*x)/4 + 163*b*c*d**3*x**3*sqrt(c**2*x**2 - 1)/1536 + b*d**3*x**2*acosh(c*x)/2 - 93*b*d**3*x*sqrt(c**2*x**2 - 1)/(1024*c) - 93*b*d**3*acosh(c*x)/(1024*c**2), Ne(c, 0)), (d**3*x**2*(a + I*pi*b/2)/2, True))","A",0
23,1,228,0,6.321929," ","integrate((-c**2*d*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} - \frac{a c^{6} d^{3} x^{7}}{7} + \frac{3 a c^{4} d^{3} x^{5}}{5} - a c^{2} d^{3} x^{3} + a d^{3} x - \frac{b c^{6} d^{3} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{b c^{5} d^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{49} + \frac{3 b c^{4} d^{3} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{117 b c^{3} d^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{1225} - b c^{2} d^{3} x^{3} \operatorname{acosh}{\left(c x \right)} + \frac{757 b c d^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{3675} + b d^{3} x \operatorname{acosh}{\left(c x \right)} - \frac{2161 b d^{3} \sqrt{c^{2} x^{2} - 1}}{3675 c} & \text{for}\: c \neq 0 \\d^{3} x \left(a + \frac{i \pi b}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a*c**6*d**3*x**7/7 + 3*a*c**4*d**3*x**5/5 - a*c**2*d**3*x**3 + a*d**3*x - b*c**6*d**3*x**7*acosh(c*x)/7 + b*c**5*d**3*x**6*sqrt(c**2*x**2 - 1)/49 + 3*b*c**4*d**3*x**5*acosh(c*x)/5 - 117*b*c**3*d**3*x**4*sqrt(c**2*x**2 - 1)/1225 - b*c**2*d**3*x**3*acosh(c*x) + 757*b*c*d**3*x**2*sqrt(c**2*x**2 - 1)/3675 + b*d**3*x*acosh(c*x) - 2161*b*d**3*sqrt(c**2*x**2 - 1)/(3675*c), Ne(c, 0)), (d**3*x*(a + I*pi*b/2), True))","A",0
24,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*acosh(c*x))/x,x)","- d^{3} \left(\int \left(- \frac{a}{x}\right)\, dx + \int 3 a c^{2} x\, dx + \int \left(- 3 a c^{4} x^{3}\right)\, dx + \int a c^{6} x^{5}\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x}\right)\, dx + \int 3 b c^{2} x \operatorname{acosh}{\left(c x \right)}\, dx + \int \left(- 3 b c^{4} x^{3} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int b c^{6} x^{5} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a/x, x) + Integral(3*a*c**2*x, x) + Integral(-3*a*c**4*x**3, x) + Integral(a*c**6*x**5, x) + Integral(-b*acosh(c*x)/x, x) + Integral(3*b*c**2*x*acosh(c*x), x) + Integral(-3*b*c**4*x**3*acosh(c*x), x) + Integral(b*c**6*x**5*acosh(c*x), x))","F",0
25,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*acosh(c*x))/x**2,x)","- d^{3} \left(\int 3 a c^{2}\, dx + \int \left(- \frac{a}{x^{2}}\right)\, dx + \int \left(- 3 a c^{4} x^{2}\right)\, dx + \int a c^{6} x^{4}\, dx + \int 3 b c^{2} \operatorname{acosh}{\left(c x \right)}\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{2}}\right)\, dx + \int \left(- 3 b c^{4} x^{2} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int b c^{6} x^{4} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(3*a*c**2, x) + Integral(-a/x**2, x) + Integral(-3*a*c**4*x**2, x) + Integral(a*c**6*x**4, x) + Integral(3*b*c**2*acosh(c*x), x) + Integral(-b*acosh(c*x)/x**2, x) + Integral(-3*b*c**4*x**2*acosh(c*x), x) + Integral(b*c**6*x**4*acosh(c*x), x))","F",0
26,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*acosh(c*x))/x**3,x)","- d^{3} \left(\int \left(- \frac{a}{x^{3}}\right)\, dx + \int \frac{3 a c^{2}}{x}\, dx + \int \left(- 3 a c^{4} x\right)\, dx + \int a c^{6} x^{3}\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{3}}\right)\, dx + \int \frac{3 b c^{2} \operatorname{acosh}{\left(c x \right)}}{x}\, dx + \int \left(- 3 b c^{4} x \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int b c^{6} x^{3} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a/x**3, x) + Integral(3*a*c**2/x, x) + Integral(-3*a*c**4*x, x) + Integral(a*c**6*x**3, x) + Integral(-b*acosh(c*x)/x**3, x) + Integral(3*b*c**2*acosh(c*x)/x, x) + Integral(-3*b*c**4*x*acosh(c*x), x) + Integral(b*c**6*x**3*acosh(c*x), x))","F",0
27,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**3*(a+b*acosh(c*x))/x**4,x)","- d^{3} \left(\int \left(- 3 a c^{4}\right)\, dx + \int \left(- \frac{a}{x^{4}}\right)\, dx + \int \frac{3 a c^{2}}{x^{2}}\, dx + \int a c^{6} x^{2}\, dx + \int \left(- 3 b c^{4} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int \left(- \frac{b \operatorname{acosh}{\left(c x \right)}}{x^{4}}\right)\, dx + \int \frac{3 b c^{2} \operatorname{acosh}{\left(c x \right)}}{x^{2}}\, dx + \int b c^{6} x^{2} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-3*a*c**4, x) + Integral(-a/x**4, x) + Integral(3*a*c**2/x**2, x) + Integral(a*c**6*x**2, x) + Integral(-3*b*c**4*acosh(c*x), x) + Integral(-b*acosh(c*x)/x**4, x) + Integral(3*b*c**2*acosh(c*x)/x**2, x) + Integral(b*c**6*x**2*acosh(c*x), x))","F",0
28,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{4}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{4} \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**4/(c**2*x**2 - 1), x) + Integral(b*x**4*acosh(c*x)/(c**2*x**2 - 1), x))/d","F",0
29,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{3}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{3} \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**3/(c**2*x**2 - 1), x) + Integral(b*x**3*acosh(c*x)/(c**2*x**2 - 1), x))/d","F",0
30,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{2}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{2} \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**2/(c**2*x**2 - 1), x) + Integral(b*x**2*acosh(c*x)/(c**2*x**2 - 1), x))/d","F",0
31,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x}{c^{2} x^{2} - 1}\, dx + \int \frac{b x \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x/(c**2*x**2 - 1), x) + Integral(b*x*acosh(c*x)/(c**2*x**2 - 1), x))/d","F",0
32,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{2} - 1}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**2 - 1), x) + Integral(b*acosh(c*x)/(c**2*x**2 - 1), x))/d","F",0
33,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{3} - x}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{3} - x}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**3 - x), x) + Integral(b*acosh(c*x)/(c**2*x**3 - x), x))/d","F",0
34,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{4} - x^{2}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{4} - x^{2}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**4 - x**2), x) + Integral(b*acosh(c*x)/(c**2*x**4 - x**2), x))/d","F",0
35,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{5} - x^{3}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{5} - x^{3}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**5 - x**3), x) + Integral(b*acosh(c*x)/(c**2*x**5 - x**3), x))/d","F",0
36,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{6} - x^{4}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{6} - x^{4}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**6 - x**4), x) + Integral(b*acosh(c*x)/(c**2*x**6 - x**4), x))/d","F",0
37,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{4}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{4} \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**4/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**4*acosh(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
38,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{3}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{3} \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**3/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**3*acosh(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
39,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{2}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{2} \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**2*acosh(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
40,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x*acosh(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
41,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*acosh(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
42,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{5} - 2 c^{2} x^{3} + x}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{5} - 2 c^{2} x^{3} + x}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**5 - 2*c**2*x**3 + x), x) + Integral(b*acosh(c*x)/(c**4*x**5 - 2*c**2*x**3 + x), x))/d**2","F",0
43,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**6 - 2*c**2*x**4 + x**2), x) + Integral(b*acosh(c*x)/(c**4*x**6 - 2*c**2*x**4 + x**2), x))/d**2","F",0
44,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**7 - 2*c**2*x**5 + x**3), x) + Integral(b*acosh(c*x)/(c**4*x**7 - 2*c**2*x**5 + x**3), x))/d**2","F",0
45,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{8} - 2 c^{2} x^{6} + x^{4}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{8} - 2 c^{2} x^{6} + x^{4}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**8 - 2*c**2*x**6 + x**4), x) + Integral(b*acosh(c*x)/(c**4*x**8 - 2*c**2*x**6 + x**4), x))/d**2","F",0
46,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x^{4}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x^{4} \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x**4/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x**4*acosh(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
47,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x^{3}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x^{3} \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x**3/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x**3*acosh(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
48,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x^{2}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x^{2} \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x**2/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x**2*acosh(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
49,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a x}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b x \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a*x/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*x*acosh(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
50,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{6} - 3 c^{4} x^{4} + 3 c^{2} x^{2} - 1}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x) + Integral(b*acosh(c*x)/(c**6*x**6 - 3*c**4*x**4 + 3*c**2*x**2 - 1), x))/d**3","F",0
51,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{7} - 3 c^{4} x^{5} + 3 c^{2} x^{3} - x}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{7} - 3 c^{4} x^{5} + 3 c^{2} x^{3} - x}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**7 - 3*c**4*x**5 + 3*c**2*x**3 - x), x) + Integral(b*acosh(c*x)/(c**6*x**7 - 3*c**4*x**5 + 3*c**2*x**3 - x), x))/d**3","F",0
52,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{8} - 3 c^{4} x^{6} + 3 c^{2} x^{4} - x^{2}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{8} - 3 c^{4} x^{6} + 3 c^{2} x^{4} - x^{2}}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**8 - 3*c**4*x**6 + 3*c**2*x**4 - x**2), x) + Integral(b*acosh(c*x)/(c**6*x**8 - 3*c**4*x**6 + 3*c**2*x**4 - x**2), x))/d**3","F",0
53,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{9} - 3 c^{4} x^{7} + 3 c^{2} x^{5} - x^{3}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{9} - 3 c^{4} x^{7} + 3 c^{2} x^{5} - x^{3}}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**9 - 3*c**4*x**7 + 3*c**2*x**5 - x**3), x) + Integral(b*acosh(c*x)/(c**6*x**9 - 3*c**4*x**7 + 3*c**2*x**5 - x**3), x))/d**3","F",0
54,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4/(-c**2*d*x**2+d)**3,x)","- \frac{\int \frac{a}{c^{6} x^{10} - 3 c^{4} x^{8} + 3 c^{2} x^{6} - x^{4}}\, dx + \int \frac{b \operatorname{acosh}{\left(c x \right)}}{c^{6} x^{10} - 3 c^{4} x^{8} + 3 c^{2} x^{6} - x^{4}}\, dx}{d^{3}}"," ",0,"-(Integral(a/(c**6*x**10 - 3*c**4*x**8 + 3*c**2*x**6 - x**4), x) + Integral(b*acosh(c*x)/(c**6*x**10 - 3*c**4*x**8 + 3*c**2*x**6 - x**4), x))/d**3","F",0
55,0,0,0,0.000000," ","integrate(acosh(a*x)/(-a**2*c*x**2+c),x)","- \frac{\int \frac{\operatorname{acosh}{\left(a x \right)}}{a^{2} x^{2} - 1}\, dx}{c}"," ",0,"-Integral(acosh(a*x)/(a**2*x**2 - 1), x)/c","F",0
56,0,0,0,0.000000," ","integrate(acosh(a*x)/(-a**2*c*x**2+c)**2,x)","\frac{\int \frac{\operatorname{acosh}{\left(a x \right)}}{a^{4} x^{4} - 2 a^{2} x^{2} + 1}\, dx}{c^{2}}"," ",0,"Integral(acosh(a*x)/(a**4*x**4 - 2*a**2*x**2 + 1), x)/c**2","F",0
57,0,0,0,0.000000," ","integrate(acosh(a*x)/(-a**2*c*x**2+c)**3,x)","- \frac{\int \frac{\operatorname{acosh}{\left(a x \right)}}{a^{6} x^{6} - 3 a^{4} x^{4} + 3 a^{2} x^{2} - 1}\, dx}{c^{3}}"," ",0,"-Integral(acosh(a*x)/(a**6*x**6 - 3*a**4*x**4 + 3*a**2*x**2 - 1), x)/c**3","F",0
58,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int x^{4} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**4*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x)), x)","F",0
59,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x)), x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x)), x)","F",0
61,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2)/x**2,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{2}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))/x**2, x)","F",0
62,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2)/x**4,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{4}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))/x**4, x)","F",0
63,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2)/x**6,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{6}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))/x**6, x)","F",0
64,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2)/x**8,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{8}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))/x**8, x)","F",0
65,0,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int x^{5} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**5*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x)), x)","F",0
66,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x)), x)","F",0
67,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x)), x)","F",0
68,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2)/x,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))/x, x)","F",0
69,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2)/x**3,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{3}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))/x**3, x)","F",0
70,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(-c**2*d*x**2+d)**(1/2)/x**5,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{5}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))/x**5, x)","F",0
71,0,0,0,0.000000," ","integrate(x**4*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\int x^{4} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**4*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x)), x)","F",0
72,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\int x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x)), x)","F",0
73,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x)), x)","F",0
74,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**2,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{2}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))/x**2, x)","F",0
75,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**4,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{4}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))/x**4, x)","F",0
76,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**6,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{6}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))/x**6, x)","F",0
77,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate(x**7*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(x**5*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\int x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x)), x)","F",0
83,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\int x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x)), x)","F",0
84,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))/x, x)","F",0
85,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**3,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{3}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))/x**3, x)","F",0
86,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))/x**5,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{5}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))/x**5, x)","F",0
87,-1,0,0,0.000000," ","integrate(x**4*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,-1,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
89,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,-1,0,0,0.000000," ","integrate(x**7*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,-1,0,0,0.000000," ","integrate(x**5*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-1,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
100,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))/x**5,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{x^{5}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))/x**5, x)","F",0
103,0,0,0,0.000000," ","integrate(acosh(x)*(-x**2+1)**(1/2),x)","\int \sqrt{- \left(x - 1\right) \left(x + 1\right)} \operatorname{acosh}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 1))*acosh(x), x)","F",0
104,0,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{5} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**5*(a + b*acosh(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
105,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
106,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
107,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
108,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
110,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
111,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
112,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
113,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{4} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**4*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
114,0,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{5} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
115,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
116,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
117,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
118,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
119,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
120,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
121,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
122,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
123,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{4} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**4*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
124,0,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{5} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
125,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
126,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
127,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
128,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
129,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
130,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
131,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**2*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
132,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**3*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
133,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,0,0,0,0.000000," ","integrate(acosh(a*x)/(-a**2*c*x**2+c)**(7/2),x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(acosh(a*x)/(-c*(a*x - 1)*(a*x + 1))**(7/2), x)","F",0
135,0,0,0,0.000000," ","integrate(x**4*acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{4} \operatorname{acosh}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**4*acosh(a*x)/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
136,0,0,0,0.000000," ","integrate(x**3*acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{3} \operatorname{acosh}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**3*acosh(a*x)/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
137,0,0,0,0.000000," ","integrate(x**2*acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{2} \operatorname{acosh}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**2*acosh(a*x)/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
138,0,0,0,0.000000," ","integrate(x*acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x \operatorname{acosh}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x*acosh(a*x)/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
139,0,0,0,0.000000," ","integrate(acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
140,0,0,0,0.000000," ","integrate(acosh(a*x)/x/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)/(x*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
141,0,0,0,0.000000," ","integrate(acosh(a*x)/x**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)/(x**2*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
142,0,0,0,0.000000," ","integrate(acosh(a*x)/x**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}{\left(a x \right)}}{x^{3} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)/(x**3*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
143,-1,0,0,0.000000," ","integrate((f*x)**(3/2)*(a+b*acosh(c*x))/(-c**2*x**2+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate((f*x)**(3/2)*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,0,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**3*(a+b*acosh(c*x)),x)","- d^{3} \left(\int \left(- a \left(f x\right)^{m}\right)\, dx + \int \left(- b \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int 3 a c^{2} x^{2} \left(f x\right)^{m}\, dx + \int \left(- 3 a c^{4} x^{4} \left(f x\right)^{m}\right)\, dx + \int a c^{6} x^{6} \left(f x\right)^{m}\, dx + \int 3 b c^{2} x^{2} \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\, dx + \int \left(- 3 b c^{4} x^{4} \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int b c^{6} x^{6} \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"-d**3*(Integral(-a*(f*x)**m, x) + Integral(-b*(f*x)**m*acosh(c*x), x) + Integral(3*a*c**2*x**2*(f*x)**m, x) + Integral(-3*a*c**4*x**4*(f*x)**m, x) + Integral(a*c**6*x**6*(f*x)**m, x) + Integral(3*b*c**2*x**2*(f*x)**m*acosh(c*x), x) + Integral(-3*b*c**4*x**4*(f*x)**m*acosh(c*x), x) + Integral(b*c**6*x**6*(f*x)**m*acosh(c*x), x))","F",0
146,0,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**2*(a+b*acosh(c*x)),x)","d^{2} \left(\int a \left(f x\right)^{m}\, dx + \int b \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\, dx + \int \left(- 2 a c^{2} x^{2} \left(f x\right)^{m}\right)\, dx + \int a c^{4} x^{4} \left(f x\right)^{m}\, dx + \int \left(- 2 b c^{2} x^{2} \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int b c^{4} x^{4} \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"d**2*(Integral(a*(f*x)**m, x) + Integral(b*(f*x)**m*acosh(c*x), x) + Integral(-2*a*c**2*x**2*(f*x)**m, x) + Integral(a*c**4*x**4*(f*x)**m, x) + Integral(-2*b*c**2*x**2*(f*x)**m*acosh(c*x), x) + Integral(b*c**4*x**4*(f*x)**m*acosh(c*x), x))","F",0
147,0,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)*(a+b*acosh(c*x)),x)","- d \left(\int \left(- a \left(f x\right)^{m}\right)\, dx + \int \left(- b \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\right)\, dx + \int a c^{2} x^{2} \left(f x\right)^{m}\, dx + \int b c^{2} x^{2} \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}\, dx\right)"," ",0,"-d*(Integral(-a*(f*x)**m, x) + Integral(-b*(f*x)**m*acosh(c*x), x) + Integral(a*c**2*x**2*(f*x)**m, x) + Integral(b*c**2*x**2*(f*x)**m*acosh(c*x), x))","F",0
148,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a \left(f x\right)^{m}}{c^{2} x^{2} - 1}\, dx + \int \frac{b \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*(f*x)**m/(c**2*x**2 - 1), x) + Integral(b*(f*x)**m*acosh(c*x)/(c**2*x**2 - 1), x))/d","F",0
149,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a \left(f x\right)^{m}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b \left(f x\right)^{m} \operatorname{acosh}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*(f*x)**m/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*(f*x)**m*acosh(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
150,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,0,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(1/2)*(a+b*acosh(c*x)),x)","\int \left(f x\right)^{m} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral((f*x)**m*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x)), x)","F",0
154,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
155,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
156,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate((f*x)**m*(c*d1*x+d1)**(5/2)*(-c*d2*x+d2)**(5/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,-1,0,0,0.000000," ","integrate((f*x)**m*(c*d1*x+d1)**(3/2)*(-c*d2*x+d2)**(3/2)*(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,0,0,0,0.000000," ","integrate((f*x)**m*(c*d1*x+d1)**(1/2)*(-c*d2*x+d2)**(1/2)*(a+b*acosh(c*x)),x)","\int \sqrt{d_{1} \left(c x + 1\right)} \left(f x\right)^{m} \sqrt{- d_{2} \left(c x - 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)\, dx"," ",0,"Integral(sqrt(d1*(c*x + 1))*(f*x)**m*sqrt(-d2*(c*x - 1))*(a + b*acosh(c*x)), x)","F",0
160,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(c*d1*x+d1)**(1/2)/(-c*d2*x+d2)**(1/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\sqrt{d_{1} \left(c x + 1\right)} \sqrt{- d_{2} \left(c x - 1\right)}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))/(sqrt(d1*(c*x + 1))*sqrt(-d2*(c*x - 1))), x)","F",0
161,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(c*d1*x+d1)**(3/2)/(-c*d2*x+d2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(c*d1*x+d1)**(5/2)/(-c*d2*x+d2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,0,0,0,0.000000," ","integrate((f*x)**m*acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{\left(f x\right)^{m} \operatorname{acosh}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral((f*x)**m*acosh(a*x)/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
164,1,243,0,11.248528," ","integrate((-a**2*c*x**2+c)**3*acosh(a*x)**2,x)","\begin{cases} - \frac{a^{6} c^{3} x^{7} \operatorname{acosh}^{2}{\left(a x \right)}}{7} - \frac{2 a^{6} c^{3} x^{7}}{343} + \frac{2 a^{5} c^{3} x^{6} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{49} + \frac{3 a^{4} c^{3} x^{5} \operatorname{acosh}^{2}{\left(a x \right)}}{5} + \frac{234 a^{4} c^{3} x^{5}}{6125} - \frac{234 a^{3} c^{3} x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{1225} - a^{2} c^{3} x^{3} \operatorname{acosh}^{2}{\left(a x \right)} - \frac{1514 a^{2} c^{3} x^{3}}{11025} + \frac{1514 a c^{3} x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{3675} + c^{3} x \operatorname{acosh}^{2}{\left(a x \right)} + \frac{4322 c^{3} x}{3675} - \frac{4322 c^{3} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{3675 a} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} c^{3} x}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**6*c**3*x**7*acosh(a*x)**2/7 - 2*a**6*c**3*x**7/343 + 2*a**5*c**3*x**6*sqrt(a**2*x**2 - 1)*acosh(a*x)/49 + 3*a**4*c**3*x**5*acosh(a*x)**2/5 + 234*a**4*c**3*x**5/6125 - 234*a**3*c**3*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)/1225 - a**2*c**3*x**3*acosh(a*x)**2 - 1514*a**2*c**3*x**3/11025 + 1514*a*c**3*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/3675 + c**3*x*acosh(a*x)**2 + 4322*c**3*x/3675 - 4322*c**3*sqrt(a**2*x**2 - 1)*acosh(a*x)/(3675*a), Ne(a, 0)), (-pi**2*c**3*x/4, True))","A",0
165,1,182,0,3.901664," ","integrate((-a**2*c*x**2+c)**2*acosh(a*x)**2,x)","\begin{cases} \frac{a^{4} c^{2} x^{5} \operatorname{acosh}^{2}{\left(a x \right)}}{5} + \frac{2 a^{4} c^{2} x^{5}}{125} - \frac{2 a^{3} c^{2} x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{25} - \frac{2 a^{2} c^{2} x^{3} \operatorname{acosh}^{2}{\left(a x \right)}}{3} - \frac{76 a^{2} c^{2} x^{3}}{675} + \frac{76 a c^{2} x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{225} + c^{2} x \operatorname{acosh}^{2}{\left(a x \right)} + \frac{298 c^{2} x}{225} - \frac{298 c^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{225 a} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} c^{2} x}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*c**2*x**5*acosh(a*x)**2/5 + 2*a**4*c**2*x**5/125 - 2*a**3*c**2*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)/25 - 2*a**2*c**2*x**3*acosh(a*x)**2/3 - 76*a**2*c**2*x**3/675 + 76*a*c**2*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/225 + c**2*x*acosh(a*x)**2 + 298*c**2*x/225 - 298*c**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/(225*a), Ne(a, 0)), (-pi**2*c**2*x/4, True))","A",0
166,1,105,0,1.061657," ","integrate((-a**2*c*x**2+c)*acosh(a*x)**2,x)","\begin{cases} - \frac{a^{2} c x^{3} \operatorname{acosh}^{2}{\left(a x \right)}}{3} - \frac{2 a^{2} c x^{3}}{27} + \frac{2 a c x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{9} + c x \operatorname{acosh}^{2}{\left(a x \right)} + \frac{14 c x}{9} - \frac{14 c \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}{\left(a x \right)}}{9 a} & \text{for}\: a \neq 0 \\- \frac{\pi^{2} c x}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c*x**3*acosh(a*x)**2/3 - 2*a**2*c*x**3/27 + 2*a*c*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)/9 + c*x*acosh(a*x)**2 + 14*c*x/9 - 14*c*sqrt(a**2*x**2 - 1)*acosh(a*x)/(9*a), Ne(a, 0)), (-pi**2*c*x/4, True))","A",0
167,0,0,0,0.000000," ","integrate(acosh(a*x)**2/(-a**2*c*x**2+c),x)","- \frac{\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{a^{2} x^{2} - 1}\, dx}{c}"," ",0,"-Integral(acosh(a*x)**2/(a**2*x**2 - 1), x)/c","F",0
168,0,0,0,0.000000," ","integrate(acosh(a*x)**2/(-a**2*c*x**2+c)**2,x)","\frac{\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{a^{4} x^{4} - 2 a^{2} x^{2} + 1}\, dx}{c^{2}}"," ",0,"Integral(acosh(a*x)**2/(a**4*x**4 - 2*a**2*x**2 + 1), x)/c**2","F",0
169,0,0,0,0.000000," ","integrate(acosh(a*x)**2/(-a**2*c*x**2+c)**3,x)","- \frac{\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{a^{6} x^{6} - 3 a^{4} x^{4} + 3 a^{2} x^{2} - 1}\, dx}{c^{3}}"," ",0,"-Integral(acosh(a*x)**2/(a**6*x**6 - 3*a**4*x**4 + 3*a**2*x**2 - 1), x)/c**3","F",0
170,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2),x)","\int x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2, x)","F",0
171,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2),x)","\int x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2, x)","F",0
172,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2),x)","\int x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2, x)","F",0
173,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2),x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2, x)","F",0
174,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2)/x,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2/x, x)","F",0
175,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2)/x**2,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2/x**2, x)","F",0
176,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2)/x**3,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2/x**3, x)","F",0
177,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2*(-c**2*d*x**2+d)**(1/2)/x**4,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2/x**4, x)","F",0
178,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2,x)","\int x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2, x)","F",0
179,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2,x)","\int x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2, x)","F",0
180,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2,x)","\int x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2, x)","F",0
181,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2,x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2, x)","F",0
182,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2/x,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2/x, x)","F",0
183,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2/x**2,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2/x**2, x)","F",0
184,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2/x**3,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2/x**3, x)","F",0
185,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2/x**4,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2/x**4, x)","F",0
186,-1,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,-1,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2,x)","\int x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral(x*(-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2, x)","F",0
189,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2,x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2, x)","F",0
190,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2/x,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2/x, x)","F",0
191,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2/x**2,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2/x**2, x)","F",0
192,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2/x**3,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2/x**3, x)","F",0
193,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2/x**4,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2/x**4, x)","F",0
194,0,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{5} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**5*(a + b*acosh(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
195,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
196,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
197,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
198,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
199,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
200,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
201,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
202,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**3/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{3} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**3*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
203,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**4/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{4} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**4*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
204,0,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{5} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
205,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
206,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
207,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
208,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
209,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
210,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
211,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**2*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
212,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**3/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**3*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
213,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**4/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{4} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**4*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
214,0,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{5} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**5*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
215,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
216,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
217,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
218,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
219,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(5/2), x)","F",0
220,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
221,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**2/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{2} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**2*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
222,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**3/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{3} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**3*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
223,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/x**4/(-c**2*d*x**2+d)**(5/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{x^{4} \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(x**4*(-d*(c*x - 1)*(c*x + 1))**(5/2)), x)","F",0
224,0,0,0,0.000000," ","integrate(acosh(a*x)**2/(-a**2*c*x**2+c)**(7/2),x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(acosh(a*x)**2/(-c*(a*x - 1)*(a*x + 1))**(7/2), x)","F",0
225,0,0,0,0.000000," ","integrate(x**4*acosh(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{4} \operatorname{acosh}^{2}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**4*acosh(a*x)**2/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
226,0,0,0,0.000000," ","integrate(x**3*acosh(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{3} \operatorname{acosh}^{2}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**3*acosh(a*x)**2/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
227,0,0,0,0.000000," ","integrate(x**2*acosh(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{2} \operatorname{acosh}^{2}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**2*acosh(a*x)**2/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
228,0,0,0,0.000000," ","integrate(x*acosh(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{x \operatorname{acosh}^{2}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x*acosh(a*x)**2/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
229,0,0,0,0.000000," ","integrate(acosh(a*x)**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**2/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
230,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**2/(x*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
231,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**2/(x**2*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
232,0,0,0,0.000000," ","integrate(acosh(a*x)**2/x**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{2}{\left(a x \right)}}{x^{3} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**2/(x**3*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
233,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,0,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(1/2)*(a+b*acosh(c*x))**2,x)","\int \left(f x\right)^{m} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}\, dx"," ",0,"Integral((f*x)**m*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2, x)","F",0
236,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))**2/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
237,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))**2/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
238,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**2/(-c**2*d*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,0,0,0,0.000000," ","integrate((f*x)**m*acosh(c*x)**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(f x\right)^{m} \operatorname{acosh}^{2}{\left(c x \right)}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((f*x)**m*acosh(c*x)**2/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
240,1,367,0,17.363731," ","integrate((-a**2*c*x**2+c)**3*acosh(a*x)**3,x)","\begin{cases} - \frac{a^{6} c^{3} x^{7} \operatorname{acosh}^{3}{\left(a x \right)}}{7} - \frac{6 a^{6} c^{3} x^{7} \operatorname{acosh}{\left(a x \right)}}{343} + \frac{3 a^{5} c^{3} x^{6} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{49} + \frac{6 a^{5} c^{3} x^{6} \sqrt{a^{2} x^{2} - 1}}{2401} + \frac{3 a^{4} c^{3} x^{5} \operatorname{acosh}^{3}{\left(a x \right)}}{5} + \frac{702 a^{4} c^{3} x^{5} \operatorname{acosh}{\left(a x \right)}}{6125} - \frac{351 a^{3} c^{3} x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{1225} - \frac{29898 a^{3} c^{3} x^{4} \sqrt{a^{2} x^{2} - 1}}{1500625} - a^{2} c^{3} x^{3} \operatorname{acosh}^{3}{\left(a x \right)} - \frac{1514 a^{2} c^{3} x^{3} \operatorname{acosh}{\left(a x \right)}}{3675} + \frac{757 a c^{3} x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{1225} + \frac{1495874 a c^{3} x^{2} \sqrt{a^{2} x^{2} - 1}}{13505625} + c^{3} x \operatorname{acosh}^{3}{\left(a x \right)} + \frac{4322 c^{3} x \operatorname{acosh}{\left(a x \right)}}{1225} - \frac{2161 c^{3} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{1225 a} - \frac{44658302 c^{3} \sqrt{a^{2} x^{2} - 1}}{13505625 a} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} c^{3} x}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**6*c**3*x**7*acosh(a*x)**3/7 - 6*a**6*c**3*x**7*acosh(a*x)/343 + 3*a**5*c**3*x**6*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/49 + 6*a**5*c**3*x**6*sqrt(a**2*x**2 - 1)/2401 + 3*a**4*c**3*x**5*acosh(a*x)**3/5 + 702*a**4*c**3*x**5*acosh(a*x)/6125 - 351*a**3*c**3*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/1225 - 29898*a**3*c**3*x**4*sqrt(a**2*x**2 - 1)/1500625 - a**2*c**3*x**3*acosh(a*x)**3 - 1514*a**2*c**3*x**3*acosh(a*x)/3675 + 757*a*c**3*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/1225 + 1495874*a*c**3*x**2*sqrt(a**2*x**2 - 1)/13505625 + c**3*x*acosh(a*x)**3 + 4322*c**3*x*acosh(a*x)/1225 - 2161*c**3*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(1225*a) - 44658302*c**3*sqrt(a**2*x**2 - 1)/(13505625*a), Ne(a, 0)), (-I*pi**3*c**3*x/8, True))","A",0
241,1,274,0,6.336546," ","integrate((-a**2*c*x**2+c)**2*acosh(a*x)**3,x)","\begin{cases} \frac{a^{4} c^{2} x^{5} \operatorname{acosh}^{3}{\left(a x \right)}}{5} + \frac{6 a^{4} c^{2} x^{5} \operatorname{acosh}{\left(a x \right)}}{125} - \frac{3 a^{3} c^{2} x^{4} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{25} - \frac{6 a^{3} c^{2} x^{4} \sqrt{a^{2} x^{2} - 1}}{625} - \frac{2 a^{2} c^{2} x^{3} \operatorname{acosh}^{3}{\left(a x \right)}}{3} - \frac{76 a^{2} c^{2} x^{3} \operatorname{acosh}{\left(a x \right)}}{225} + \frac{38 a c^{2} x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{75} + \frac{1684 a c^{2} x^{2} \sqrt{a^{2} x^{2} - 1}}{16875} + c^{2} x \operatorname{acosh}^{3}{\left(a x \right)} + \frac{298 c^{2} x \operatorname{acosh}{\left(a x \right)}}{75} - \frac{149 c^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{75 a} - \frac{63682 c^{2} \sqrt{a^{2} x^{2} - 1}}{16875 a} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} c^{2} x}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*c**2*x**5*acosh(a*x)**3/5 + 6*a**4*c**2*x**5*acosh(a*x)/125 - 3*a**3*c**2*x**4*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/25 - 6*a**3*c**2*x**4*sqrt(a**2*x**2 - 1)/625 - 2*a**2*c**2*x**3*acosh(a*x)**3/3 - 76*a**2*c**2*x**3*acosh(a*x)/225 + 38*a*c**2*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/75 + 1684*a*c**2*x**2*sqrt(a**2*x**2 - 1)/16875 + c**2*x*acosh(a*x)**3 + 298*c**2*x*acosh(a*x)/75 - 149*c**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(75*a) - 63682*c**2*sqrt(a**2*x**2 - 1)/(16875*a), Ne(a, 0)), (-I*pi**3*c**2*x/8, True))","A",0
242,1,160,0,1.997970," ","integrate((-a**2*c*x**2+c)*acosh(a*x)**3,x)","\begin{cases} - \frac{a^{2} c x^{3} \operatorname{acosh}^{3}{\left(a x \right)}}{3} - \frac{2 a^{2} c x^{3} \operatorname{acosh}{\left(a x \right)}}{9} + \frac{a c x^{2} \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{3} + \frac{2 a c x^{2} \sqrt{a^{2} x^{2} - 1}}{27} + c x \operatorname{acosh}^{3}{\left(a x \right)} + \frac{14 c x \operatorname{acosh}{\left(a x \right)}}{3} - \frac{7 c \sqrt{a^{2} x^{2} - 1} \operatorname{acosh}^{2}{\left(a x \right)}}{3 a} - \frac{122 c \sqrt{a^{2} x^{2} - 1}}{27 a} & \text{for}\: a \neq 0 \\- \frac{i \pi^{3} c x}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c*x**3*acosh(a*x)**3/3 - 2*a**2*c*x**3*acosh(a*x)/9 + a*c*x**2*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/3 + 2*a*c*x**2*sqrt(a**2*x**2 - 1)/27 + c*x*acosh(a*x)**3 + 14*c*x*acosh(a*x)/3 - 7*c*sqrt(a**2*x**2 - 1)*acosh(a*x)**2/(3*a) - 122*c*sqrt(a**2*x**2 - 1)/(27*a), Ne(a, 0)), (-I*pi**3*c*x/8, True))","A",0
243,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*c*x**2+c),x)","- \frac{\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{a^{2} x^{2} - 1}\, dx}{c}"," ",0,"-Integral(acosh(a*x)**3/(a**2*x**2 - 1), x)/c","F",0
244,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*c*x**2+c)**2,x)","\frac{\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{a^{4} x^{4} - 2 a^{2} x^{2} + 1}\, dx}{c^{2}}"," ",0,"Integral(acosh(a*x)**3/(a**4*x**4 - 2*a**2*x**2 + 1), x)/c**2","F",0
245,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*c*x**2+c)**3,x)","- \frac{\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{a^{6} x^{6} - 3 a^{4} x^{4} + 3 a^{2} x^{2} - 1}\, dx}{c^{3}}"," ",0,"-Integral(acosh(a*x)**3/(a**6*x**6 - 3*a**4*x**4 + 3*a**2*x**2 - 1), x)/c**3","F",0
246,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(5/2)*acosh(a*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*acosh(a*x)**3,x)","\int \left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \operatorname{acosh}^{3}{\left(a x \right)}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)*acosh(a*x)**3, x)","F",0
248,0,0,0,0.000000," ","integrate(acosh(a*x)**3*(-a**2*c*x**2+c)**(1/2),x)","\int \sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}^{3}{\left(a x \right)}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))*acosh(a*x)**3, x)","F",0
249,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*c*x**2+c)**(1/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**3/sqrt(-c*(a*x - 1)*(a*x + 1)), x)","F",0
250,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*c*x**2+c)**(3/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(acosh(a*x)**3/(-c*(a*x - 1)*(a*x + 1))**(3/2), x)","F",0
251,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*c*x**2+c)**(5/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(acosh(a*x)**3/(-c*(a*x - 1)*(a*x + 1))**(5/2), x)","F",0
252,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*c*x**2+c)**(7/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(acosh(a*x)**3/(-c*(a*x - 1)*(a*x + 1))**(7/2), x)","F",0
253,0,0,0,0.000000," ","integrate(x**4*acosh(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{4} \operatorname{acosh}^{3}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**4*acosh(a*x)**3/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
254,0,0,0,0.000000," ","integrate(x**3*acosh(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{3} \operatorname{acosh}^{3}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**3*acosh(a*x)**3/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
255,0,0,0,0.000000," ","integrate(x**2*acosh(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{2} \operatorname{acosh}^{3}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x**2*acosh(a*x)**3/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
256,0,0,0,0.000000," ","integrate(x*acosh(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{x \operatorname{acosh}^{3}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(x*acosh(a*x)**3/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
257,0,0,0,0.000000," ","integrate(acosh(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**3/sqrt(-(a*x - 1)*(a*x + 1)), x)","F",0
258,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**3/(x*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
259,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x**2/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**3/(x**2*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
260,0,0,0,0.000000," ","integrate(acosh(a*x)**3/x**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{\operatorname{acosh}^{3}{\left(a x \right)}}{x^{3} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**3/(x**3*sqrt(-(a*x - 1)*(a*x + 1))), x)","F",0
261,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**3/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{3}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))**3/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
262,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**3/acosh(a*x),x)","- c^{3} \left(\int \frac{3 a^{2} x^{2}}{\operatorname{acosh}{\left(a x \right)}}\, dx + \int \left(- \frac{3 a^{4} x^{4}}{\operatorname{acosh}{\left(a x \right)}}\right)\, dx + \int \frac{a^{6} x^{6}}{\operatorname{acosh}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{acosh}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*a**2*x**2/acosh(a*x), x) + Integral(-3*a**4*x**4/acosh(a*x), x) + Integral(a**6*x**6/acosh(a*x), x) + Integral(-1/acosh(a*x), x))","F",0
263,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**2/acosh(a*x),x)","c^{2} \left(\int \left(- \frac{2 a^{2} x^{2}}{\operatorname{acosh}{\left(a x \right)}}\right)\, dx + \int \frac{a^{4} x^{4}}{\operatorname{acosh}{\left(a x \right)}}\, dx + \int \frac{1}{\operatorname{acosh}{\left(a x \right)}}\, dx\right)"," ",0,"c**2*(Integral(-2*a**2*x**2/acosh(a*x), x) + Integral(a**4*x**4/acosh(a*x), x) + Integral(1/acosh(a*x), x))","F",0
264,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)/acosh(a*x),x)","- c \left(\int \frac{a^{2} x^{2}}{\operatorname{acosh}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{acosh}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c*(Integral(a**2*x**2/acosh(a*x), x) + Integral(-1/acosh(a*x), x))","F",0
265,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)/acosh(a*x),x)","- \frac{\int \frac{1}{a^{2} x^{2} \operatorname{acosh}{\left(a x \right)} - \operatorname{acosh}{\left(a x \right)}}\, dx}{c}"," ",0,"-Integral(1/(a**2*x**2*acosh(a*x) - acosh(a*x)), x)/c","F",0
266,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**2/acosh(a*x),x)","\frac{\int \frac{1}{a^{4} x^{4} \operatorname{acosh}{\left(a x \right)} - 2 a^{2} x^{2} \operatorname{acosh}{\left(a x \right)} + \operatorname{acosh}{\left(a x \right)}}\, dx}{c^{2}}"," ",0,"Integral(1/(a**4*x**4*acosh(a*x) - 2*a**2*x**2*acosh(a*x) + acosh(a*x)), x)/c**2","F",0
267,0,0,0,0.000000," ","integrate(x**4*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{4} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**4*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x)), x)","F",0
268,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{3} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**3*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x)), x)","F",0
269,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x)), x)","F",0
270,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x)), x)","F",0
271,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x)), x)","F",0
272,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x/(a+b*acosh(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x*(a + b*acosh(c*x))), x)","F",0
273,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**2/(a+b*acosh(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**2*(a + b*acosh(c*x))), x)","F",0
274,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**3/(a+b*acosh(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**3*(a + b*acosh(c*x))), x)","F",0
275,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**4/(a+b*acosh(c*x)),x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**4*(a + b*acosh(c*x))), x)","F",0
276,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{3} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**3*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x)), x)","F",0
277,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x)), x)","F",0
278,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x)), x)","F",0
279,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x)), x)","F",0
280,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x*(a + b*acosh(c*x))), x)","F",0
281,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**2/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**2*(a + b*acosh(c*x))), x)","F",0
282,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**3/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**3*(a + b*acosh(c*x))), x)","F",0
283,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**4/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**4*(a + b*acosh(c*x))), x)","F",0
284,-1,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
285,-1,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x)),x)","\int \frac{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x*(-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*acosh(c*x)), x)","F",0
287,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*acosh(c*x)), x)","F",0
288,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x*(a + b*acosh(c*x))), x)","F",0
289,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**2/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**2*(a + b*acosh(c*x))), x)","F",0
290,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**3/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**3*(a + b*acosh(c*x))), x)","F",0
291,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**4/(a+b*acosh(c*x)),x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**4*(a + b*acosh(c*x))), x)","F",0
292,0,0,0,0.000000," ","integrate(x**4/acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{4}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**4/(sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)), x)","F",0
293,0,0,0,0.000000," ","integrate(x**3/acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{3}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**3/(sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)), x)","F",0
294,0,0,0,0.000000," ","integrate(x**2/acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2/(sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)), x)","F",0
295,0,0,0,0.000000," ","integrate(x/acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{x}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(x/(sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)), x)","F",0
296,0,0,0,0.000000," ","integrate(1/acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{1}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)), x)","F",0
297,0,0,0,0.000000," ","integrate(1/x/acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x*sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)), x)","F",0
298,0,0,0,0.000000," ","integrate(1/x**2/acosh(a*x)/(-a**2*x**2+1)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)), x)","F",0
299,0,0,0,0.000000," ","integrate(x**3/(a+b*acosh(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{3}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**3/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))), x)","F",0
300,0,0,0,0.000000," ","integrate(x**2/(a+b*acosh(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**2/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))), x)","F",0
301,0,0,0,0.000000," ","integrate(x/(a+b*acosh(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{x}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))), x)","F",0
302,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))), x)","F",0
303,0,0,0,0.000000," ","integrate(1/x/(a+b*acosh(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))), x)","F",0
304,0,0,0,0.000000," ","integrate(1/x**2/(a+b*acosh(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))), x)","F",0
305,0,0,0,0.000000," ","integrate(x**2/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{2}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**2/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))), x)","F",0
306,0,0,0,0.000000," ","integrate(x/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{x}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))), x)","F",0
307,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{1}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))), x)","F",0
308,0,0,0,0.000000," ","integrate(1/x/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{1}{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))), x)","F",0
309,0,0,0,0.000000," ","integrate(1/x**2/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{1}{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))), x)","F",0
310,0,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{m} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**m*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x)), x)","F",0
311,0,0,0,0.000000," ","integrate(x**m*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{m} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(x**m*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x)), x)","F",0
312,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{m}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**m/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))), x)","F",0
313,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{m}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**m/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))), x)","F",0
314,0,0,0,0.000000," ","integrate(x**m/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x)),x)","\int \frac{x^{m}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(x**m/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))), x)","F",0
315,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**3/acosh(a*x)**2,x)","- c^{3} \left(\int \frac{3 a^{2} x^{2}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx + \int \left(- \frac{3 a^{4} x^{4}}{\operatorname{acosh}^{2}{\left(a x \right)}}\right)\, dx + \int \frac{a^{6} x^{6}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{acosh}^{2}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c**3*(Integral(3*a**2*x**2/acosh(a*x)**2, x) + Integral(-3*a**4*x**4/acosh(a*x)**2, x) + Integral(a**6*x**6/acosh(a*x)**2, x) + Integral(-1/acosh(a*x)**2, x))","F",0
316,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**2/acosh(a*x)**2,x)","c^{2} \left(\int \left(- \frac{2 a^{2} x^{2}}{\operatorname{acosh}^{2}{\left(a x \right)}}\right)\, dx + \int \frac{a^{4} x^{4}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx + \int \frac{1}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx\right)"," ",0,"c**2*(Integral(-2*a**2*x**2/acosh(a*x)**2, x) + Integral(a**4*x**4/acosh(a*x)**2, x) + Integral(acosh(a*x)**(-2), x))","F",0
317,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)/acosh(a*x)**2,x)","- c \left(\int \frac{a^{2} x^{2}}{\operatorname{acosh}^{2}{\left(a x \right)}}\, dx + \int \left(- \frac{1}{\operatorname{acosh}^{2}{\left(a x \right)}}\right)\, dx\right)"," ",0,"-c*(Integral(a**2*x**2/acosh(a*x)**2, x) + Integral(-1/acosh(a*x)**2, x))","F",0
318,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)/acosh(a*x)**2,x)","- \frac{\int \frac{1}{a^{2} x^{2} \operatorname{acosh}^{2}{\left(a x \right)} - \operatorname{acosh}^{2}{\left(a x \right)}}\, dx}{c}"," ",0,"-Integral(1/(a**2*x**2*acosh(a*x)**2 - acosh(a*x)**2), x)/c","F",0
319,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**2/acosh(a*x)**2,x)","\frac{\int \frac{1}{a^{4} x^{4} \operatorname{acosh}^{2}{\left(a x \right)} - 2 a^{2} x^{2} \operatorname{acosh}^{2}{\left(a x \right)} + \operatorname{acosh}^{2}{\left(a x \right)}}\, dx}{c^{2}}"," ",0,"Integral(1/(a**4*x**4*acosh(a*x)**2 - 2*a**2*x**2*acosh(a*x)**2 + acosh(a*x)**2), x)/c**2","F",0
320,0,0,0,0.000000," ","integrate(x**3*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{3} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x))**2, x)","F",0
321,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x))**2, x)","F",0
322,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x))**2, x)","F",0
323,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x))**2, x)","F",0
324,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x/(a+b*acosh(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x*(a + b*acosh(c*x))**2), x)","F",0
325,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**2/(a+b*acosh(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**2*(a + b*acosh(c*x))**2), x)","F",0
326,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**3/(a+b*acosh(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**3*(a + b*acosh(c*x))**2), x)","F",0
327,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(1/2)/x**4/(a+b*acosh(c*x))**2,x)","\int \frac{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(c*x - 1)*(c*x + 1))/(x**4*(a + b*acosh(c*x))**2), x)","F",0
328,0,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x))**2, x)","F",0
329,0,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x*(-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x))**2, x)","F",0
330,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(a + b*acosh(c*x))**2, x)","F",0
331,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x*(a + b*acosh(c*x))**2), x)","F",0
332,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**2/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**2*(a + b*acosh(c*x))**2), x)","F",0
333,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**3/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**3*(a + b*acosh(c*x))**2), x)","F",0
334,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(3/2)/x**4/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(3/2)/(x**4*(a + b*acosh(c*x))**2), x)","F",0
335,-1,0,0,0.000000," ","integrate(x**2*(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
336,-1,0,0,0.000000," ","integrate(x*(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
337,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(a + b*acosh(c*x))**2, x)","F",0
338,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x*(a + b*acosh(c*x))**2), x)","F",0
339,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**2/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**2*(a + b*acosh(c*x))**2), x)","F",0
340,0,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**3/(a+b*acosh(c*x))**2,x)","\int \frac{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}}}{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((-(c*x - 1)*(c*x + 1))**(5/2)/(x**3*(a + b*acosh(c*x))**2), x)","F",0
341,-1,0,0,0.000000," ","integrate((-c**2*x**2+1)**(5/2)/x**4/(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
342,0,0,0,0.000000," ","integrate(x**5/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{5}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**5/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
343,0,0,0,0.000000," ","integrate(x**4/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{4}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**4/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
344,0,0,0,0.000000," ","integrate(x**3/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{3}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
345,0,0,0,0.000000," ","integrate(x**2/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
346,0,0,0,0.000000," ","integrate(x/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{x}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
347,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
348,0,0,0,0.000000," ","integrate(1/x/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
349,0,0,0,0.000000," ","integrate(1/x**2/(a+b*acosh(c*x))**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{1}{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
350,0,0,0,0.000000," ","integrate(x**3/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{3}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2), x)","F",0
351,0,0,0,0.000000," ","integrate(x**2/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{2}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2), x)","F",0
352,0,0,0,0.000000," ","integrate(x/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2), x)","F",0
353,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2), x)","F",0
354,0,0,0,0.000000," ","integrate(1/x/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2), x)","F",0
355,0,0,0,0.000000," ","integrate(1/x**2/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(-(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**2), x)","F",0
356,0,0,0,0.000000," ","integrate(x**4/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{4}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**4/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2), x)","F",0
357,0,0,0,0.000000," ","integrate(x**3/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{3}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2), x)","F",0
358,0,0,0,0.000000," ","integrate(x**2/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x^{2}}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2), x)","F",0
359,0,0,0,0.000000," ","integrate(x/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{x}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(x/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2), x)","F",0
360,0,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{\left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/((-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2), x)","F",0
361,0,0,0,0.000000," ","integrate(1/x/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{x \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2), x)","F",0
362,0,0,0,0.000000," ","integrate(1/x**2/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{x^{2} \left(- \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(-(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acosh(c*x))**2), x)","F",0
363,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
364,0,0,0,0.000000," ","integrate((f*x)**m*(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x))**2,x)","\int \frac{\left(f x\right)^{m} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((f*x)**m*sqrt(-(c*x - 1)*(c*x + 1))/(a + b*acosh(c*x))**2, x)","F",0
365,0,0,0,0.000000," ","integrate((f*x)**m/(-c**2*x**2+1)**(1/2)/(a+b*acosh(c*x))**2,x)","\int \frac{\left(f x\right)^{m}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((f*x)**m/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**2), x)","F",0
366,-1,0,0,0.000000," ","integrate((f*x)**m/(-c**2*x**2+1)**(3/2)/(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
367,-1,0,0,0.000000," ","integrate((f*x)**m/(-c**2*x**2+1)**(5/2)/(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
368,0,0,0,0.000000," ","integrate(1/acosh(a*x)**3/(-a**2*x**2+1)**(1/2),x)","\int \frac{1}{\sqrt{- \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}^{3}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(sqrt(-(a*x - 1)*(a*x + 1))*acosh(a*x)**3), x)","F",0
369,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)/(a+b*acosh(c*x))**(3/2),x)","- d \left(\int \left(- \frac{x^{3}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{2} x^{5}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"-d*(Integral(-x**3/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**2*x**5/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
370,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)/(a+b*acosh(c*x))**(3/2),x)","- d \left(\int \left(- \frac{x^{2}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{2} x^{4}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"-d*(Integral(-x**2/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**2*x**4/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
371,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)/(a+b*acosh(c*x))**(3/2),x)","- d \left(\int \left(- \frac{x}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{2} x^{3}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"-d*(Integral(-x/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**2*x**3/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
372,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)/(a+b*acosh(c*x))**(3/2),x)","- d \left(\int \frac{c^{2} x^{2}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx + \int \left(- \frac{1}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx\right)"," ",0,"-d*(Integral(c**2*x**2/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(-1/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
373,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)/x/(a+b*acosh(c*x))**(3/2),x)","- d \left(\int \frac{c^{2} x^{2}}{a x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx + \int \left(- \frac{1}{a x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx\right)"," ",0,"-d*(Integral(c**2*x**2/(a*x*sqrt(a + b*acosh(c*x)) + b*x*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(-1/(a*x*sqrt(a + b*acosh(c*x)) + b*x*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
374,0,0,0,0.000000," ","integrate(x**3*(-c**2*d*x**2+d)**2/(a+b*acosh(c*x))**(3/2),x)","d^{2} \left(\int \frac{x^{3}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx + \int \left(- \frac{2 c^{2} x^{5}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{7}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(x**3/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(-2*c**2*x**5/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**4*x**7/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
375,0,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**2/(a+b*acosh(c*x))**(3/2),x)","d^{2} \left(\int \frac{x^{2}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx + \int \left(- \frac{2 c^{2} x^{4}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{6}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(x**2/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(-2*c**2*x**4/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**4*x**6/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
376,0,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**2/(a+b*acosh(c*x))**(3/2),x)","d^{2} \left(\int \frac{x}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx + \int \left(- \frac{2 c^{2} x^{3}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{5}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(x/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(-2*c**2*x**3/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**4*x**5/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
377,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2/(a+b*acosh(c*x))**(3/2),x)","d^{2} \left(\int \left(- \frac{2 c^{2} x^{2}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{4}}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx + \int \frac{1}{a \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(-2*c**2*x**2/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**4*x**4/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(1/(a*sqrt(a + b*acosh(c*x)) + b*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
378,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**2/x/(a+b*acosh(c*x))**(3/2),x)","d^{2} \left(\int \left(- \frac{2 c^{2} x^{2}}{a x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\right)\, dx + \int \frac{c^{4} x^{4}}{a x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx + \int \frac{1}{a x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} + b x \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \operatorname{acosh}{\left(c x \right)}}\, dx\right)"," ",0,"d**2*(Integral(-2*c**2*x**2/(a*x*sqrt(a + b*acosh(c*x)) + b*x*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(c**4*x**4/(a*x*sqrt(a + b*acosh(c*x)) + b*x*sqrt(a + b*acosh(c*x))*acosh(c*x)), x) + Integral(1/(a*x*sqrt(a + b*acosh(c*x)) + b*x*sqrt(a + b*acosh(c*x))*acosh(c*x)), x))","F",0
379,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*acosh(a*x)**(1/2),x)","\int \left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)*sqrt(acosh(a*x)), x)","F",0
380,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)*acosh(a*x)**(1/2),x)","\int \sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \sqrt{\operatorname{acosh}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))*sqrt(acosh(a*x)), x)","F",0
381,0,0,0,0.000000," ","integrate(acosh(a*x)**(1/2)/(-a**2*c*x**2+c)**(1/2),x)","\int \frac{\sqrt{\operatorname{acosh}{\left(a x \right)}}}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(sqrt(acosh(a*x))/sqrt(-c*(a*x - 1)*(a*x + 1)), x)","F",0
382,0,0,0,0.000000," ","integrate(acosh(a*x)**(1/2)/(-a**2*c*x**2+c)**(3/2),x)","\int \frac{\sqrt{\operatorname{acosh}{\left(a x \right)}}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(acosh(a*x))/(-c*(a*x - 1)*(a*x + 1))**(3/2), x)","F",0
383,0,0,0,0.000000," ","integrate(acosh(a*x)**(1/2)/(-a**2*c*x**2+c)**(5/2),x)","\int \frac{\sqrt{\operatorname{acosh}{\left(a x \right)}}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(acosh(a*x))/(-c*(a*x - 1)*(a*x + 1))**(5/2), x)","F",0
384,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*acosh(a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
385,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)*acosh(a*x)**(3/2),x)","\int \sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))*acosh(a*x)**(3/2), x)","F",0
386,0,0,0,0.000000," ","integrate(acosh(a*x)**(3/2)/(-a**2*c*x**2+c)**(1/2),x)","\int \frac{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}\, dx"," ",0,"Integral(acosh(a*x)**(3/2)/sqrt(-c*(a*x - 1)*(a*x + 1)), x)","F",0
387,0,0,0,0.000000," ","integrate(acosh(a*x)**(3/2)/(-a**2*c*x**2+c)**(3/2),x)","\int \frac{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(acosh(a*x)**(3/2)/(-c*(a*x - 1)*(a*x + 1))**(3/2), x)","F",0
388,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)*acosh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
389,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)*acosh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
390,-1,0,0,0.000000," ","integrate(acosh(a*x)**(5/2)/(-a**2*c*x**2+c)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
391,-1,0,0,0.000000," ","integrate(acosh(a*x)**(5/2)/(-a**2*c*x**2+c)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
392,0,0,0,0.000000," ","integrate((a**2-x**2)**(3/2)*acosh(x/a)**(1/2),x)","\int \left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{3}{2}} \sqrt{\operatorname{acosh}{\left(\frac{x}{a} \right)}}\, dx"," ",0,"Integral((-(-a + x)*(a + x))**(3/2)*sqrt(acosh(x/a)), x)","F",0
393,0,0,0,0.000000," ","integrate((a**2-x**2)**(1/2)*acosh(x/a)**(1/2),x)","\int \sqrt{- \left(- a + x\right) \left(a + x\right)} \sqrt{\operatorname{acosh}{\left(\frac{x}{a} \right)}}\, dx"," ",0,"Integral(sqrt(-(-a + x)*(a + x))*sqrt(acosh(x/a)), x)","F",0
394,0,0,0,0.000000," ","integrate(acosh(x/a)**(1/2)/(a**2-x**2)**(1/2),x)","\int \frac{\sqrt{\operatorname{acosh}{\left(\frac{x}{a} \right)}}}{\sqrt{- \left(- a + x\right) \left(a + x\right)}}\, dx"," ",0,"Integral(sqrt(acosh(x/a))/sqrt(-(-a + x)*(a + x)), x)","F",0
395,0,0,0,0.000000," ","integrate(acosh(x/a)**(1/2)/(a**2-x**2)**(3/2),x)","\int \frac{\sqrt{\operatorname{acosh}{\left(\frac{x}{a} \right)}}}{\left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(sqrt(acosh(x/a))/(-(-a + x)*(a + x))**(3/2), x)","F",0
396,0,0,0,0.000000," ","integrate(acosh(x/a)**(1/2)/(a**2-x**2)**(5/2),x)","\int \frac{\sqrt{\operatorname{acosh}{\left(\frac{x}{a} \right)}}}{\left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(sqrt(acosh(x/a))/(-(-a + x)*(a + x))**(5/2), x)","F",0
397,-1,0,0,0.000000," ","integrate((a**2-x**2)**(3/2)*acosh(x/a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
398,0,0,0,0.000000," ","integrate(acosh(x/a)**(3/2)*(a**2-x**2)**(1/2),x)","\int \sqrt{- \left(- a + x\right) \left(a + x\right)} \operatorname{acosh}^{\frac{3}{2}}{\left(\frac{x}{a} \right)}\, dx"," ",0,"Integral(sqrt(-(-a + x)*(a + x))*acosh(x/a)**(3/2), x)","F",0
399,0,0,0,0.000000," ","integrate(acosh(x/a)**(3/2)/(a**2-x**2)**(1/2),x)","\int \frac{\operatorname{acosh}^{\frac{3}{2}}{\left(\frac{x}{a} \right)}}{\sqrt{- \left(- a + x\right) \left(a + x\right)}}\, dx"," ",0,"Integral(acosh(x/a)**(3/2)/sqrt(-(-a + x)*(a + x)), x)","F",0
400,0,0,0,0.000000," ","integrate(acosh(x/a)**(3/2)/(a**2-x**2)**(3/2),x)","\int \frac{\operatorname{acosh}^{\frac{3}{2}}{\left(\frac{x}{a} \right)}}{\left(- \left(- a + x\right) \left(a + x\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(acosh(x/a)**(3/2)/(-(-a + x)*(a + x))**(3/2), x)","F",0
401,0,0,0,0.000000," ","integrate(x/(-x**2+1)**(1/2)/acosh(x)**(1/2),x)","\int \frac{x}{\sqrt{- \left(x - 1\right) \left(x + 1\right)} \sqrt{\operatorname{acosh}{\left(x \right)}}}\, dx"," ",0,"Integral(x/(sqrt(-(x - 1)*(x + 1))*sqrt(acosh(x))), x)","F",0
402,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(5/2)/acosh(a*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
403,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)/acosh(a*x)**(1/2),x)","\int \frac{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)/sqrt(acosh(a*x)), x)","F",0
404,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)/acosh(a*x)**(1/2),x)","\int \frac{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}{\sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))/sqrt(acosh(a*x)), x)","F",0
405,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(1/2)/acosh(a*x)**(1/2),x)","\int \frac{1}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/(sqrt(-c*(a*x - 1)*(a*x + 1))*sqrt(acosh(a*x))), x)","F",0
406,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(3/2)/acosh(a*x)**(1/2),x)","\int \frac{1}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/((-c*(a*x - 1)*(a*x + 1))**(3/2)*sqrt(acosh(a*x))), x)","F",0
407,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(5/2)/acosh(a*x)**(1/2),x)","\int \frac{1}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{5}{2}} \sqrt{\operatorname{acosh}{\left(a x \right)}}}\, dx"," ",0,"Integral(1/((-c*(a*x - 1)*(a*x + 1))**(5/2)*sqrt(acosh(a*x))), x)","F",0
408,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(5/2)/acosh(a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
409,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)/acosh(a*x)**(3/2),x)","\int \frac{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}}}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral((-c*(a*x - 1)*(a*x + 1))**(3/2)/acosh(a*x)**(3/2), x)","F",0
410,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)/acosh(a*x)**(3/2),x)","\int \frac{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}{\operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))/acosh(a*x)**(3/2), x)","F",0
411,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(1/2)/acosh(a*x)**(3/2),x)","\int \frac{1}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(sqrt(-c*(a*x - 1)*(a*x + 1))*acosh(a*x)**(3/2)), x)","F",0
412,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(3/2)/acosh(a*x)**(3/2),x)","\int \frac{1}{\left(- c \left(a x - 1\right) \left(a x + 1\right)\right)^{\frac{3}{2}} \operatorname{acosh}^{\frac{3}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/((-c*(a*x - 1)*(a*x + 1))**(3/2)*acosh(a*x)**(3/2)), x)","F",0
413,-1,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(5/2)/acosh(a*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,-1,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(3/2)/acosh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
415,0,0,0,0.000000," ","integrate((-a**2*c*x**2+c)**(1/2)/acosh(a*x)**(5/2),x)","\int \frac{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)}}{\operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(sqrt(-c*(a*x - 1)*(a*x + 1))/acosh(a*x)**(5/2), x)","F",0
416,0,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(1/2)/acosh(a*x)**(5/2),x)","\int \frac{1}{\sqrt{- c \left(a x - 1\right) \left(a x + 1\right)} \operatorname{acosh}^{\frac{5}{2}}{\left(a x \right)}}\, dx"," ",0,"Integral(1/(sqrt(-c*(a*x - 1)*(a*x + 1))*acosh(a*x)**(5/2)), x)","F",0
417,-1,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(3/2)/acosh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
418,-1,0,0,0.000000," ","integrate(1/(-a**2*c*x**2+c)**(5/2)/acosh(a*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
419,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**n*(-c**2*d*x**2+d)**(1/2),x)","\int x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}\, dx"," ",0,"Integral(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**n, x)","F",0
420,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**n*(-c**2*d*x**2+d)**(1/2),x)","\int x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}\, dx"," ",0,"Integral(x*sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**n, x)","F",0
421,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n*(-c**2*d*x**2+d)**(1/2),x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**n, x)","F",0
422,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n*(-c**2*d*x**2+d)**(1/2)/x,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**n/x, x)","F",0
423,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n*(-c**2*d*x**2+d)**(1/2)/x**2,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x^{2}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acosh(c*x))**n/x**2, x)","F",0
424,-1,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
425,-1,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
426,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
427,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**n/x,x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acosh(c*x))**n/x, x)","F",0
428,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**n/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
429,-1,0,0,0.000000," ","integrate(x**2*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
430,-1,0,0,0.000000," ","integrate(x*(-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
431,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
432,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**n/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
433,-1,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acosh(c*x))**n/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
434,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))**n/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))**n/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
435,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**n/(-c**2*x**2+1)**(1/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**n/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
436,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**n/(-c**2*x**2+1)**(1/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**n/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
437,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
438,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/x/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/(x*sqrt(-(c*x - 1)*(c*x + 1))), x)","F",0
439,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/x**2/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x^{2} \sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/(x**2*sqrt(-(c*x - 1)*(c*x + 1))), x)","F",0
440,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))**n/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
441,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**n/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
442,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**n/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
443,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
444,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/x/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/(x*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
445,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/x**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x^{2} \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/(x**2*sqrt(-d*(c*x - 1)*(c*x + 1))), x)","F",0
446,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))**n/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
447,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))**n/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
448,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/(-d*(c*x - 1)*(c*x + 1))**(3/2), x)","F",0
449,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/x/(-c**2*d*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{x \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**n/(x*(-d*(c*x - 1)*(c*x + 1))**(3/2)), x)","F",0
450,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))**n/x**2/(-c**2*d*x**2+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
451,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**n/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))**n/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
452,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**2*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
453,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
454,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**n,x)","\int \left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))**n, x)","F",0
455,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d),x)","- \frac{\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-Integral((f*x)**m*(a + b*acosh(c*x))**n/(c**2*x**2 - 1), x)/d","F",0
456,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
457,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(3/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
458,-1,0,0,0.000000," ","integrate((f*x)**m*(-c**2*d*x**2+d)**(1/2)*(a+b*acosh(c*x))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
459,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{n}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))**n/sqrt(-d*(c*x - 1)*(c*x + 1)), x)","F",0
460,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))**n/(-c**2*d*x**2+d)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
461,1,230,0,5.641785," ","integrate(x**4*(e*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d x^{5}}{5} + \frac{a e x^{7}}{7} + \frac{b d x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{b e x^{7} \operatorname{acosh}{\left(c x \right)}}{7} - \frac{b d x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{b e x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{4 b d x^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{3}} - \frac{6 b e x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{8 b d \sqrt{c^{2} x^{2} - 1}}{75 c^{5}} - \frac{8 b e x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{16 b e \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d x^{5}}{5} + \frac{e x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**5/5 + a*e*x**7/7 + b*d*x**5*acosh(c*x)/5 + b*e*x**7*acosh(c*x)/7 - b*d*x**4*sqrt(c**2*x**2 - 1)/(25*c) - b*e*x**6*sqrt(c**2*x**2 - 1)/(49*c) - 4*b*d*x**2*sqrt(c**2*x**2 - 1)/(75*c**3) - 6*b*e*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 8*b*d*sqrt(c**2*x**2 - 1)/(75*c**5) - 8*b*e*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 16*b*e*sqrt(c**2*x**2 - 1)/(245*c**7), Ne(c, 0)), ((a + I*pi*b/2)*(d*x**5/5 + e*x**7/7), True))","A",0
462,1,212,0,3.832728," ","integrate(x**3*(e*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d x^{4}}{4} + \frac{a e x^{6}}{6} + \frac{b d x^{4} \operatorname{acosh}{\left(c x \right)}}{4} + \frac{b e x^{6} \operatorname{acosh}{\left(c x \right)}}{6} - \frac{b d x^{3} \sqrt{c^{2} x^{2} - 1}}{16 c} - \frac{b e x^{5} \sqrt{c^{2} x^{2} - 1}}{36 c} - \frac{3 b d x \sqrt{c^{2} x^{2} - 1}}{32 c^{3}} - \frac{5 b e x^{3} \sqrt{c^{2} x^{2} - 1}}{144 c^{3}} - \frac{3 b d \operatorname{acosh}{\left(c x \right)}}{32 c^{4}} - \frac{5 b e x \sqrt{c^{2} x^{2} - 1}}{96 c^{5}} - \frac{5 b e \operatorname{acosh}{\left(c x \right)}}{96 c^{6}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d x^{4}}{4} + \frac{e x^{6}}{6}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**4/4 + a*e*x**6/6 + b*d*x**4*acosh(c*x)/4 + b*e*x**6*acosh(c*x)/6 - b*d*x**3*sqrt(c**2*x**2 - 1)/(16*c) - b*e*x**5*sqrt(c**2*x**2 - 1)/(36*c) - 3*b*d*x*sqrt(c**2*x**2 - 1)/(32*c**3) - 5*b*e*x**3*sqrt(c**2*x**2 - 1)/(144*c**3) - 3*b*d*acosh(c*x)/(32*c**4) - 5*b*e*x*sqrt(c**2*x**2 - 1)/(96*c**5) - 5*b*e*acosh(c*x)/(96*c**6), Ne(c, 0)), ((a + I*pi*b/2)*(d*x**4/4 + e*x**6/6), True))","A",0
463,1,178,0,2.150281," ","integrate(x**2*(e*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d x^{3}}{3} + \frac{a e x^{5}}{5} + \frac{b d x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{b e x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{b d x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{b e x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{2 b d \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} - \frac{4 b e x^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{3}} - \frac{8 b e \sqrt{c^{2} x^{2} - 1}}{75 c^{5}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d x^{3}}{3} + \frac{e x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**3/3 + a*e*x**5/5 + b*d*x**3*acosh(c*x)/3 + b*e*x**5*acosh(c*x)/5 - b*d*x**2*sqrt(c**2*x**2 - 1)/(9*c) - b*e*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 2*b*d*sqrt(c**2*x**2 - 1)/(9*c**3) - 4*b*e*x**2*sqrt(c**2*x**2 - 1)/(75*c**3) - 8*b*e*sqrt(c**2*x**2 - 1)/(75*c**5), Ne(c, 0)), ((a + I*pi*b/2)*(d*x**3/3 + e*x**5/5), True))","A",0
464,1,160,0,1.189051," ","integrate(x*(e*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d x^{2}}{2} + \frac{a e x^{4}}{4} + \frac{b d x^{2} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{b e x^{4} \operatorname{acosh}{\left(c x \right)}}{4} - \frac{b d x \sqrt{c^{2} x^{2} - 1}}{4 c} - \frac{b e x^{3} \sqrt{c^{2} x^{2} - 1}}{16 c} - \frac{b d \operatorname{acosh}{\left(c x \right)}}{4 c^{2}} - \frac{3 b e x \sqrt{c^{2} x^{2} - 1}}{32 c^{3}} - \frac{3 b e \operatorname{acosh}{\left(c x \right)}}{32 c^{4}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d x^{2}}{2} + \frac{e x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**2/2 + a*e*x**4/4 + b*d*x**2*acosh(c*x)/2 + b*e*x**4*acosh(c*x)/4 - b*d*x*sqrt(c**2*x**2 - 1)/(4*c) - b*e*x**3*sqrt(c**2*x**2 - 1)/(16*c) - b*d*acosh(c*x)/(4*c**2) - 3*b*e*x*sqrt(c**2*x**2 - 1)/(32*c**3) - 3*b*e*acosh(c*x)/(32*c**4), Ne(c, 0)), ((a + I*pi*b/2)*(d*x**2/2 + e*x**4/4), True))","A",0
465,1,116,0,0.562089," ","integrate((e*x**2+d)*(a+b*acosh(c*x)),x)","\begin{cases} a d x + \frac{a e x^{3}}{3} + b d x \operatorname{acosh}{\left(c x \right)} + \frac{b e x^{3} \operatorname{acosh}{\left(c x \right)}}{3} - \frac{b d \sqrt{c^{2} x^{2} - 1}}{c} - \frac{b e x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{2 b e \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(d x + \frac{e x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x + a*e*x**3/3 + b*d*x*acosh(c*x) + b*e*x**3*acosh(c*x)/3 - b*d*sqrt(c**2*x**2 - 1)/c - b*e*x**2*sqrt(c**2*x**2 - 1)/(9*c) - 2*b*e*sqrt(c**2*x**2 - 1)/(9*c**3), Ne(c, 0)), ((a + I*pi*b/2)*(d*x + e*x**3/3), True))","A",0
466,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acosh(c*x))/x,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)/x, x)","F",0
467,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acosh(c*x))/x**2,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)/x**2, x)","F",0
468,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acosh(c*x))/x**3,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x^{3}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)/x**3, x)","F",0
469,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acosh(c*x))/x**4,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x^{4}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)/x**4, x)","F",0
470,1,422,0,16.208597," ","integrate(x**4*(e*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{2} x^{5}}{5} + \frac{2 a d e x^{7}}{7} + \frac{a e^{2} x^{9}}{9} + \frac{b d^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{2 b d e x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{b e^{2} x^{9} \operatorname{acosh}{\left(c x \right)}}{9} - \frac{b d^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{2 b d e x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{b e^{2} x^{8} \sqrt{c^{2} x^{2} - 1}}{81 c} - \frac{4 b d^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{3}} - \frac{12 b d e x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{8 b e^{2} x^{6} \sqrt{c^{2} x^{2} - 1}}{567 c^{3}} - \frac{8 b d^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{5}} - \frac{16 b d e x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{16 b e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{945 c^{5}} - \frac{32 b d e \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} - \frac{64 b e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{2835 c^{7}} - \frac{128 b e^{2} \sqrt{c^{2} x^{2} - 1}}{2835 c^{9}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{2} x^{5}}{5} + \frac{2 d e x^{7}}{7} + \frac{e^{2} x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**5/5 + 2*a*d*e*x**7/7 + a*e**2*x**9/9 + b*d**2*x**5*acosh(c*x)/5 + 2*b*d*e*x**7*acosh(c*x)/7 + b*e**2*x**9*acosh(c*x)/9 - b*d**2*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 2*b*d*e*x**6*sqrt(c**2*x**2 - 1)/(49*c) - b*e**2*x**8*sqrt(c**2*x**2 - 1)/(81*c) - 4*b*d**2*x**2*sqrt(c**2*x**2 - 1)/(75*c**3) - 12*b*d*e*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 8*b*e**2*x**6*sqrt(c**2*x**2 - 1)/(567*c**3) - 8*b*d**2*sqrt(c**2*x**2 - 1)/(75*c**5) - 16*b*d*e*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 16*b*e**2*x**4*sqrt(c**2*x**2 - 1)/(945*c**5) - 32*b*d*e*sqrt(c**2*x**2 - 1)/(245*c**7) - 64*b*e**2*x**2*sqrt(c**2*x**2 - 1)/(2835*c**7) - 128*b*e**2*sqrt(c**2*x**2 - 1)/(2835*c**9), Ne(c, 0)), ((a + I*pi*b/2)*(d**2*x**5/5 + 2*d*e*x**7/7 + e**2*x**9/9), True))","A",0
471,1,389,0,11.229850," ","integrate(x**3*(e*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{2} x^{4}}{4} + \frac{a d e x^{6}}{3} + \frac{a e^{2} x^{8}}{8} + \frac{b d^{2} x^{4} \operatorname{acosh}{\left(c x \right)}}{4} + \frac{b d e x^{6} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{b e^{2} x^{8} \operatorname{acosh}{\left(c x \right)}}{8} - \frac{b d^{2} x^{3} \sqrt{c^{2} x^{2} - 1}}{16 c} - \frac{b d e x^{5} \sqrt{c^{2} x^{2} - 1}}{18 c} - \frac{b e^{2} x^{7} \sqrt{c^{2} x^{2} - 1}}{64 c} - \frac{3 b d^{2} x \sqrt{c^{2} x^{2} - 1}}{32 c^{3}} - \frac{5 b d e x^{3} \sqrt{c^{2} x^{2} - 1}}{72 c^{3}} - \frac{7 b e^{2} x^{5} \sqrt{c^{2} x^{2} - 1}}{384 c^{3}} - \frac{3 b d^{2} \operatorname{acosh}{\left(c x \right)}}{32 c^{4}} - \frac{5 b d e x \sqrt{c^{2} x^{2} - 1}}{48 c^{5}} - \frac{35 b e^{2} x^{3} \sqrt{c^{2} x^{2} - 1}}{1536 c^{5}} - \frac{5 b d e \operatorname{acosh}{\left(c x \right)}}{48 c^{6}} - \frac{35 b e^{2} x \sqrt{c^{2} x^{2} - 1}}{1024 c^{7}} - \frac{35 b e^{2} \operatorname{acosh}{\left(c x \right)}}{1024 c^{8}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{2} x^{4}}{4} + \frac{d e x^{6}}{3} + \frac{e^{2} x^{8}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**4/4 + a*d*e*x**6/3 + a*e**2*x**8/8 + b*d**2*x**4*acosh(c*x)/4 + b*d*e*x**6*acosh(c*x)/3 + b*e**2*x**8*acosh(c*x)/8 - b*d**2*x**3*sqrt(c**2*x**2 - 1)/(16*c) - b*d*e*x**5*sqrt(c**2*x**2 - 1)/(18*c) - b*e**2*x**7*sqrt(c**2*x**2 - 1)/(64*c) - 3*b*d**2*x*sqrt(c**2*x**2 - 1)/(32*c**3) - 5*b*d*e*x**3*sqrt(c**2*x**2 - 1)/(72*c**3) - 7*b*e**2*x**5*sqrt(c**2*x**2 - 1)/(384*c**3) - 3*b*d**2*acosh(c*x)/(32*c**4) - 5*b*d*e*x*sqrt(c**2*x**2 - 1)/(48*c**5) - 35*b*e**2*x**3*sqrt(c**2*x**2 - 1)/(1536*c**5) - 5*b*d*e*acosh(c*x)/(48*c**6) - 35*b*e**2*x*sqrt(c**2*x**2 - 1)/(1024*c**7) - 35*b*e**2*acosh(c*x)/(1024*c**8), Ne(c, 0)), ((a + I*pi*b/2)*(d**2*x**4/4 + d*e*x**6/3 + e**2*x**8/8), True))","A",0
472,1,340,0,6.037074," ","integrate(x**2*(e*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{2} x^{3}}{3} + \frac{2 a d e x^{5}}{5} + \frac{a e^{2} x^{7}}{7} + \frac{b d^{2} x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{2 b d e x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{b e^{2} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} - \frac{b d^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{2 b d e x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{b e^{2} x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{2 b d^{2} \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} - \frac{8 b d e x^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{3}} - \frac{6 b e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{16 b d e \sqrt{c^{2} x^{2} - 1}}{75 c^{5}} - \frac{8 b e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{16 b e^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{2} x^{3}}{3} + \frac{2 d e x^{5}}{5} + \frac{e^{2} x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**3/3 + 2*a*d*e*x**5/5 + a*e**2*x**7/7 + b*d**2*x**3*acosh(c*x)/3 + 2*b*d*e*x**5*acosh(c*x)/5 + b*e**2*x**7*acosh(c*x)/7 - b*d**2*x**2*sqrt(c**2*x**2 - 1)/(9*c) - 2*b*d*e*x**4*sqrt(c**2*x**2 - 1)/(25*c) - b*e**2*x**6*sqrt(c**2*x**2 - 1)/(49*c) - 2*b*d**2*sqrt(c**2*x**2 - 1)/(9*c**3) - 8*b*d*e*x**2*sqrt(c**2*x**2 - 1)/(75*c**3) - 6*b*e**2*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 16*b*d*e*sqrt(c**2*x**2 - 1)/(75*c**5) - 8*b*e**2*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 16*b*e**2*sqrt(c**2*x**2 - 1)/(245*c**7), Ne(c, 0)), ((a + I*pi*b/2)*(d**2*x**3/3 + 2*d*e*x**5/5 + e**2*x**7/7), True))","A",0
473,1,306,0,4.198745," ","integrate(x*(e*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{2} x^{2}}{2} + \frac{a d e x^{4}}{2} + \frac{a e^{2} x^{6}}{6} + \frac{b d^{2} x^{2} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{b d e x^{4} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{b e^{2} x^{6} \operatorname{acosh}{\left(c x \right)}}{6} - \frac{b d^{2} x \sqrt{c^{2} x^{2} - 1}}{4 c} - \frac{b d e x^{3} \sqrt{c^{2} x^{2} - 1}}{8 c} - \frac{b e^{2} x^{5} \sqrt{c^{2} x^{2} - 1}}{36 c} - \frac{b d^{2} \operatorname{acosh}{\left(c x \right)}}{4 c^{2}} - \frac{3 b d e x \sqrt{c^{2} x^{2} - 1}}{16 c^{3}} - \frac{5 b e^{2} x^{3} \sqrt{c^{2} x^{2} - 1}}{144 c^{3}} - \frac{3 b d e \operatorname{acosh}{\left(c x \right)}}{16 c^{4}} - \frac{5 b e^{2} x \sqrt{c^{2} x^{2} - 1}}{96 c^{5}} - \frac{5 b e^{2} \operatorname{acosh}{\left(c x \right)}}{96 c^{6}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{2} x^{2}}{2} + \frac{d e x^{4}}{2} + \frac{e^{2} x^{6}}{6}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x**2/2 + a*d*e*x**4/2 + a*e**2*x**6/6 + b*d**2*x**2*acosh(c*x)/2 + b*d*e*x**4*acosh(c*x)/2 + b*e**2*x**6*acosh(c*x)/6 - b*d**2*x*sqrt(c**2*x**2 - 1)/(4*c) - b*d*e*x**3*sqrt(c**2*x**2 - 1)/(8*c) - b*e**2*x**5*sqrt(c**2*x**2 - 1)/(36*c) - b*d**2*acosh(c*x)/(4*c**2) - 3*b*d*e*x*sqrt(c**2*x**2 - 1)/(16*c**3) - 5*b*e**2*x**3*sqrt(c**2*x**2 - 1)/(144*c**3) - 3*b*d*e*acosh(c*x)/(16*c**4) - 5*b*e**2*x*sqrt(c**2*x**2 - 1)/(96*c**5) - 5*b*e**2*acosh(c*x)/(96*c**6), Ne(c, 0)), ((a + I*pi*b/2)*(d**2*x**2/2 + d*e*x**4/2 + e**2*x**6/6), True))","A",0
474,1,246,0,2.222319," ","integrate((e*x**2+d)**2*(a+b*acosh(c*x)),x)","\begin{cases} a d^{2} x + \frac{2 a d e x^{3}}{3} + \frac{a e^{2} x^{5}}{5} + b d^{2} x \operatorname{acosh}{\left(c x \right)} + \frac{2 b d e x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{b e^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{b d^{2} \sqrt{c^{2} x^{2} - 1}}{c} - \frac{2 b d e x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{b e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{4 b d e \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} - \frac{4 b e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{3}} - \frac{8 b e^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{5}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(d^{2} x + \frac{2 d e x^{3}}{3} + \frac{e^{2} x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**2*x + 2*a*d*e*x**3/3 + a*e**2*x**5/5 + b*d**2*x*acosh(c*x) + 2*b*d*e*x**3*acosh(c*x)/3 + b*e**2*x**5*acosh(c*x)/5 - b*d**2*sqrt(c**2*x**2 - 1)/c - 2*b*d*e*x**2*sqrt(c**2*x**2 - 1)/(9*c) - b*e**2*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 4*b*d*e*sqrt(c**2*x**2 - 1)/(9*c**3) - 4*b*e**2*x**2*sqrt(c**2*x**2 - 1)/(75*c**3) - 8*b*e**2*sqrt(c**2*x**2 - 1)/(75*c**5), Ne(c, 0)), ((a + I*pi*b/2)*(d**2*x + 2*d*e*x**3/3 + e**2*x**5/5), True))","A",0
475,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*acosh(c*x))/x,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**2/x, x)","F",0
476,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*acosh(c*x))/x**2,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**2/x**2, x)","F",0
477,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*acosh(c*x))/x**3,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}}{x^{3}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**2/x**3, x)","F",0
478,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*acosh(c*x))/x**4,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}}{x^{4}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**2/x**4, x)","F",0
479,1,638,0,38.831760," ","integrate(x**4*(e*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{3} x^{5}}{5} + \frac{3 a d^{2} e x^{7}}{7} + \frac{a d e^{2} x^{9}}{3} + \frac{a e^{3} x^{11}}{11} + \frac{b d^{3} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{3 b d^{2} e x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{b d e^{2} x^{9} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{b e^{3} x^{11} \operatorname{acosh}{\left(c x \right)}}{11} - \frac{b d^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{3 b d^{2} e x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{b d e^{2} x^{8} \sqrt{c^{2} x^{2} - 1}}{27 c} - \frac{b e^{3} x^{10} \sqrt{c^{2} x^{2} - 1}}{121 c} - \frac{4 b d^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{3}} - \frac{18 b d^{2} e x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{8 b d e^{2} x^{6} \sqrt{c^{2} x^{2} - 1}}{189 c^{3}} - \frac{10 b e^{3} x^{8} \sqrt{c^{2} x^{2} - 1}}{1089 c^{3}} - \frac{8 b d^{3} \sqrt{c^{2} x^{2} - 1}}{75 c^{5}} - \frac{24 b d^{2} e x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{16 b d e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{315 c^{5}} - \frac{80 b e^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{7623 c^{5}} - \frac{48 b d^{2} e \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} - \frac{64 b d e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{945 c^{7}} - \frac{32 b e^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{2541 c^{7}} - \frac{128 b d e^{2} \sqrt{c^{2} x^{2} - 1}}{945 c^{9}} - \frac{128 b e^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{7623 c^{9}} - \frac{256 b e^{3} \sqrt{c^{2} x^{2} - 1}}{7623 c^{11}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{3} x^{5}}{5} + \frac{3 d^{2} e x^{7}}{7} + \frac{d e^{2} x^{9}}{3} + \frac{e^{3} x^{11}}{11}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**5/5 + 3*a*d**2*e*x**7/7 + a*d*e**2*x**9/3 + a*e**3*x**11/11 + b*d**3*x**5*acosh(c*x)/5 + 3*b*d**2*e*x**7*acosh(c*x)/7 + b*d*e**2*x**9*acosh(c*x)/3 + b*e**3*x**11*acosh(c*x)/11 - b*d**3*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 3*b*d**2*e*x**6*sqrt(c**2*x**2 - 1)/(49*c) - b*d*e**2*x**8*sqrt(c**2*x**2 - 1)/(27*c) - b*e**3*x**10*sqrt(c**2*x**2 - 1)/(121*c) - 4*b*d**3*x**2*sqrt(c**2*x**2 - 1)/(75*c**3) - 18*b*d**2*e*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 8*b*d*e**2*x**6*sqrt(c**2*x**2 - 1)/(189*c**3) - 10*b*e**3*x**8*sqrt(c**2*x**2 - 1)/(1089*c**3) - 8*b*d**3*sqrt(c**2*x**2 - 1)/(75*c**5) - 24*b*d**2*e*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 16*b*d*e**2*x**4*sqrt(c**2*x**2 - 1)/(315*c**5) - 80*b*e**3*x**6*sqrt(c**2*x**2 - 1)/(7623*c**5) - 48*b*d**2*e*sqrt(c**2*x**2 - 1)/(245*c**7) - 64*b*d*e**2*x**2*sqrt(c**2*x**2 - 1)/(945*c**7) - 32*b*e**3*x**4*sqrt(c**2*x**2 - 1)/(2541*c**7) - 128*b*d*e**2*sqrt(c**2*x**2 - 1)/(945*c**9) - 128*b*e**3*x**2*sqrt(c**2*x**2 - 1)/(7623*c**9) - 256*b*e**3*sqrt(c**2*x**2 - 1)/(7623*c**11), Ne(c, 0)), ((a + I*pi*b/2)*(d**3*x**5/5 + 3*d**2*e*x**7/7 + d*e**2*x**9/3 + e**3*x**11/11), True))","A",0
480,1,604,0,28.219287," ","integrate(x**3*(e*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{3} x^{4}}{4} + \frac{a d^{2} e x^{6}}{2} + \frac{3 a d e^{2} x^{8}}{8} + \frac{a e^{3} x^{10}}{10} + \frac{b d^{3} x^{4} \operatorname{acosh}{\left(c x \right)}}{4} + \frac{b d^{2} e x^{6} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{3 b d e^{2} x^{8} \operatorname{acosh}{\left(c x \right)}}{8} + \frac{b e^{3} x^{10} \operatorname{acosh}{\left(c x \right)}}{10} - \frac{b d^{3} x^{3} \sqrt{c^{2} x^{2} - 1}}{16 c} - \frac{b d^{2} e x^{5} \sqrt{c^{2} x^{2} - 1}}{12 c} - \frac{3 b d e^{2} x^{7} \sqrt{c^{2} x^{2} - 1}}{64 c} - \frac{b e^{3} x^{9} \sqrt{c^{2} x^{2} - 1}}{100 c} - \frac{3 b d^{3} x \sqrt{c^{2} x^{2} - 1}}{32 c^{3}} - \frac{5 b d^{2} e x^{3} \sqrt{c^{2} x^{2} - 1}}{48 c^{3}} - \frac{7 b d e^{2} x^{5} \sqrt{c^{2} x^{2} - 1}}{128 c^{3}} - \frac{9 b e^{3} x^{7} \sqrt{c^{2} x^{2} - 1}}{800 c^{3}} - \frac{3 b d^{3} \operatorname{acosh}{\left(c x \right)}}{32 c^{4}} - \frac{5 b d^{2} e x \sqrt{c^{2} x^{2} - 1}}{32 c^{5}} - \frac{35 b d e^{2} x^{3} \sqrt{c^{2} x^{2} - 1}}{512 c^{5}} - \frac{21 b e^{3} x^{5} \sqrt{c^{2} x^{2} - 1}}{1600 c^{5}} - \frac{5 b d^{2} e \operatorname{acosh}{\left(c x \right)}}{32 c^{6}} - \frac{105 b d e^{2} x \sqrt{c^{2} x^{2} - 1}}{1024 c^{7}} - \frac{21 b e^{3} x^{3} \sqrt{c^{2} x^{2} - 1}}{1280 c^{7}} - \frac{105 b d e^{2} \operatorname{acosh}{\left(c x \right)}}{1024 c^{8}} - \frac{63 b e^{3} x \sqrt{c^{2} x^{2} - 1}}{2560 c^{9}} - \frac{63 b e^{3} \operatorname{acosh}{\left(c x \right)}}{2560 c^{10}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{3} x^{4}}{4} + \frac{d^{2} e x^{6}}{2} + \frac{3 d e^{2} x^{8}}{8} + \frac{e^{3} x^{10}}{10}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**4/4 + a*d**2*e*x**6/2 + 3*a*d*e**2*x**8/8 + a*e**3*x**10/10 + b*d**3*x**4*acosh(c*x)/4 + b*d**2*e*x**6*acosh(c*x)/2 + 3*b*d*e**2*x**8*acosh(c*x)/8 + b*e**3*x**10*acosh(c*x)/10 - b*d**3*x**3*sqrt(c**2*x**2 - 1)/(16*c) - b*d**2*e*x**5*sqrt(c**2*x**2 - 1)/(12*c) - 3*b*d*e**2*x**7*sqrt(c**2*x**2 - 1)/(64*c) - b*e**3*x**9*sqrt(c**2*x**2 - 1)/(100*c) - 3*b*d**3*x*sqrt(c**2*x**2 - 1)/(32*c**3) - 5*b*d**2*e*x**3*sqrt(c**2*x**2 - 1)/(48*c**3) - 7*b*d*e**2*x**5*sqrt(c**2*x**2 - 1)/(128*c**3) - 9*b*e**3*x**7*sqrt(c**2*x**2 - 1)/(800*c**3) - 3*b*d**3*acosh(c*x)/(32*c**4) - 5*b*d**2*e*x*sqrt(c**2*x**2 - 1)/(32*c**5) - 35*b*d*e**2*x**3*sqrt(c**2*x**2 - 1)/(512*c**5) - 21*b*e**3*x**5*sqrt(c**2*x**2 - 1)/(1600*c**5) - 5*b*d**2*e*acosh(c*x)/(32*c**6) - 105*b*d*e**2*x*sqrt(c**2*x**2 - 1)/(1024*c**7) - 21*b*e**3*x**3*sqrt(c**2*x**2 - 1)/(1280*c**7) - 105*b*d*e**2*acosh(c*x)/(1024*c**8) - 63*b*e**3*x*sqrt(c**2*x**2 - 1)/(2560*c**9) - 63*b*e**3*acosh(c*x)/(2560*c**10), Ne(c, 0)), ((a + I*pi*b/2)*(d**3*x**4/4 + d**2*e*x**6/2 + 3*d*e**2*x**8/8 + e**3*x**10/10), True))","A",0
481,1,532,0,16.713409," ","integrate(x**2*(e*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{3} x^{3}}{3} + \frac{3 a d^{2} e x^{5}}{5} + \frac{3 a d e^{2} x^{7}}{7} + \frac{a e^{3} x^{9}}{9} + \frac{b d^{3} x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{3 b d^{2} e x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{3 b d e^{2} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{b e^{3} x^{9} \operatorname{acosh}{\left(c x \right)}}{9} - \frac{b d^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{3 b d^{2} e x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{3 b d e^{2} x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{b e^{3} x^{8} \sqrt{c^{2} x^{2} - 1}}{81 c} - \frac{2 b d^{3} \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} - \frac{4 b d^{2} e x^{2} \sqrt{c^{2} x^{2} - 1}}{25 c^{3}} - \frac{18 b d e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{8 b e^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{567 c^{3}} - \frac{8 b d^{2} e \sqrt{c^{2} x^{2} - 1}}{25 c^{5}} - \frac{24 b d e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{16 b e^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{945 c^{5}} - \frac{48 b d e^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} - \frac{64 b e^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{2835 c^{7}} - \frac{128 b e^{3} \sqrt{c^{2} x^{2} - 1}}{2835 c^{9}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{3} x^{3}}{3} + \frac{3 d^{2} e x^{5}}{5} + \frac{3 d e^{2} x^{7}}{7} + \frac{e^{3} x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**3/3 + 3*a*d**2*e*x**5/5 + 3*a*d*e**2*x**7/7 + a*e**3*x**9/9 + b*d**3*x**3*acosh(c*x)/3 + 3*b*d**2*e*x**5*acosh(c*x)/5 + 3*b*d*e**2*x**7*acosh(c*x)/7 + b*e**3*x**9*acosh(c*x)/9 - b*d**3*x**2*sqrt(c**2*x**2 - 1)/(9*c) - 3*b*d**2*e*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 3*b*d*e**2*x**6*sqrt(c**2*x**2 - 1)/(49*c) - b*e**3*x**8*sqrt(c**2*x**2 - 1)/(81*c) - 2*b*d**3*sqrt(c**2*x**2 - 1)/(9*c**3) - 4*b*d**2*e*x**2*sqrt(c**2*x**2 - 1)/(25*c**3) - 18*b*d*e**2*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 8*b*e**3*x**6*sqrt(c**2*x**2 - 1)/(567*c**3) - 8*b*d**2*e*sqrt(c**2*x**2 - 1)/(25*c**5) - 24*b*d*e**2*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 16*b*e**3*x**4*sqrt(c**2*x**2 - 1)/(945*c**5) - 48*b*d*e**2*sqrt(c**2*x**2 - 1)/(245*c**7) - 64*b*e**3*x**2*sqrt(c**2*x**2 - 1)/(2835*c**7) - 128*b*e**3*sqrt(c**2*x**2 - 1)/(2835*c**9), Ne(c, 0)), ((a + I*pi*b/2)*(d**3*x**3/3 + 3*d**2*e*x**5/5 + 3*d*e**2*x**7/7 + e**3*x**9/9), True))","A",0
482,1,490,0,11.724124," ","integrate(x*(e*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} \frac{a d^{3} x^{2}}{2} + \frac{3 a d^{2} e x^{4}}{4} + \frac{a d e^{2} x^{6}}{2} + \frac{a e^{3} x^{8}}{8} + \frac{b d^{3} x^{2} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{3 b d^{2} e x^{4} \operatorname{acosh}{\left(c x \right)}}{4} + \frac{b d e^{2} x^{6} \operatorname{acosh}{\left(c x \right)}}{2} + \frac{b e^{3} x^{8} \operatorname{acosh}{\left(c x \right)}}{8} - \frac{b d^{3} x \sqrt{c^{2} x^{2} - 1}}{4 c} - \frac{3 b d^{2} e x^{3} \sqrt{c^{2} x^{2} - 1}}{16 c} - \frac{b d e^{2} x^{5} \sqrt{c^{2} x^{2} - 1}}{12 c} - \frac{b e^{3} x^{7} \sqrt{c^{2} x^{2} - 1}}{64 c} - \frac{b d^{3} \operatorname{acosh}{\left(c x \right)}}{4 c^{2}} - \frac{9 b d^{2} e x \sqrt{c^{2} x^{2} - 1}}{32 c^{3}} - \frac{5 b d e^{2} x^{3} \sqrt{c^{2} x^{2} - 1}}{48 c^{3}} - \frac{7 b e^{3} x^{5} \sqrt{c^{2} x^{2} - 1}}{384 c^{3}} - \frac{9 b d^{2} e \operatorname{acosh}{\left(c x \right)}}{32 c^{4}} - \frac{5 b d e^{2} x \sqrt{c^{2} x^{2} - 1}}{32 c^{5}} - \frac{35 b e^{3} x^{3} \sqrt{c^{2} x^{2} - 1}}{1536 c^{5}} - \frac{5 b d e^{2} \operatorname{acosh}{\left(c x \right)}}{32 c^{6}} - \frac{35 b e^{3} x \sqrt{c^{2} x^{2} - 1}}{1024 c^{7}} - \frac{35 b e^{3} \operatorname{acosh}{\left(c x \right)}}{1024 c^{8}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(\frac{d^{3} x^{2}}{2} + \frac{3 d^{2} e x^{4}}{4} + \frac{d e^{2} x^{6}}{2} + \frac{e^{3} x^{8}}{8}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x**2/2 + 3*a*d**2*e*x**4/4 + a*d*e**2*x**6/2 + a*e**3*x**8/8 + b*d**3*x**2*acosh(c*x)/2 + 3*b*d**2*e*x**4*acosh(c*x)/4 + b*d*e**2*x**6*acosh(c*x)/2 + b*e**3*x**8*acosh(c*x)/8 - b*d**3*x*sqrt(c**2*x**2 - 1)/(4*c) - 3*b*d**2*e*x**3*sqrt(c**2*x**2 - 1)/(16*c) - b*d*e**2*x**5*sqrt(c**2*x**2 - 1)/(12*c) - b*e**3*x**7*sqrt(c**2*x**2 - 1)/(64*c) - b*d**3*acosh(c*x)/(4*c**2) - 9*b*d**2*e*x*sqrt(c**2*x**2 - 1)/(32*c**3) - 5*b*d*e**2*x**3*sqrt(c**2*x**2 - 1)/(48*c**3) - 7*b*e**3*x**5*sqrt(c**2*x**2 - 1)/(384*c**3) - 9*b*d**2*e*acosh(c*x)/(32*c**4) - 5*b*d*e**2*x*sqrt(c**2*x**2 - 1)/(32*c**5) - 35*b*e**3*x**3*sqrt(c**2*x**2 - 1)/(1536*c**5) - 5*b*d*e**2*acosh(c*x)/(32*c**6) - 35*b*e**3*x*sqrt(c**2*x**2 - 1)/(1024*c**7) - 35*b*e**3*acosh(c*x)/(1024*c**8), Ne(c, 0)), ((a + I*pi*b/2)*(d**3*x**2/2 + 3*d**2*e*x**4/4 + d*e**2*x**6/2 + e**3*x**8/8), True))","A",0
483,1,396,0,6.378020," ","integrate((e*x**2+d)**3*(a+b*acosh(c*x)),x)","\begin{cases} a d^{3} x + a d^{2} e x^{3} + \frac{3 a d e^{2} x^{5}}{5} + \frac{a e^{3} x^{7}}{7} + b d^{3} x \operatorname{acosh}{\left(c x \right)} + b d^{2} e x^{3} \operatorname{acosh}{\left(c x \right)} + \frac{3 b d e^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{b e^{3} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} - \frac{b d^{3} \sqrt{c^{2} x^{2} - 1}}{c} - \frac{b d^{2} e x^{2} \sqrt{c^{2} x^{2} - 1}}{3 c} - \frac{3 b d e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{b e^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{2 b d^{2} e \sqrt{c^{2} x^{2} - 1}}{3 c^{3}} - \frac{4 b d e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{25 c^{3}} - \frac{6 b e^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{8 b d e^{2} \sqrt{c^{2} x^{2} - 1}}{25 c^{5}} - \frac{8 b e^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{16 b e^{3} \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(d^{3} x + d^{2} e x^{3} + \frac{3 d e^{2} x^{5}}{5} + \frac{e^{3} x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**3*x + a*d**2*e*x**3 + 3*a*d*e**2*x**5/5 + a*e**3*x**7/7 + b*d**3*x*acosh(c*x) + b*d**2*e*x**3*acosh(c*x) + 3*b*d*e**2*x**5*acosh(c*x)/5 + b*e**3*x**7*acosh(c*x)/7 - b*d**3*sqrt(c**2*x**2 - 1)/c - b*d**2*e*x**2*sqrt(c**2*x**2 - 1)/(3*c) - 3*b*d*e**2*x**4*sqrt(c**2*x**2 - 1)/(25*c) - b*e**3*x**6*sqrt(c**2*x**2 - 1)/(49*c) - 2*b*d**2*e*sqrt(c**2*x**2 - 1)/(3*c**3) - 4*b*d*e**2*x**2*sqrt(c**2*x**2 - 1)/(25*c**3) - 6*b*e**3*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 8*b*d*e**2*sqrt(c**2*x**2 - 1)/(25*c**5) - 8*b*e**3*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 16*b*e**3*sqrt(c**2*x**2 - 1)/(245*c**7), Ne(c, 0)), ((a + I*pi*b/2)*(d**3*x + d**2*e*x**3 + 3*d*e**2*x**5/5 + e**3*x**7/7), True))","A",0
484,0,0,0,0.000000," ","integrate((e*x**2+d)**3*(a+b*acosh(c*x))/x,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}}{x}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**3/x, x)","F",0
485,0,0,0,0.000000," ","integrate((e*x**2+d)**3*(a+b*acosh(c*x))/x**2,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}}{x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**3/x**2, x)","F",0
486,0,0,0,0.000000," ","integrate((e*x**2+d)**3*(a+b*acosh(c*x))/x**3,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}}{x^{3}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**3/x**3, x)","F",0
487,0,0,0,0.000000," ","integrate((e*x**2+d)**3*(a+b*acosh(c*x))/x**4,x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}}{x^{4}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*(d + e*x**2)**3/x**4, x)","F",0
488,1,600,0,16.745676," ","integrate((e*x**2+d)**4*(a+b*acosh(c*x)),x)","\begin{cases} a d^{4} x + \frac{4 a d^{3} e x^{3}}{3} + \frac{6 a d^{2} e^{2} x^{5}}{5} + \frac{4 a d e^{3} x^{7}}{7} + \frac{a e^{4} x^{9}}{9} + b d^{4} x \operatorname{acosh}{\left(c x \right)} + \frac{4 b d^{3} e x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{6 b d^{2} e^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{4 b d e^{3} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} + \frac{b e^{4} x^{9} \operatorname{acosh}{\left(c x \right)}}{9} - \frac{b d^{4} \sqrt{c^{2} x^{2} - 1}}{c} - \frac{4 b d^{3} e x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{6 b d^{2} e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{4 b d e^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{b e^{4} x^{8} \sqrt{c^{2} x^{2} - 1}}{81 c} - \frac{8 b d^{3} e \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} - \frac{8 b d^{2} e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{25 c^{3}} - \frac{24 b d e^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{8 b e^{4} x^{6} \sqrt{c^{2} x^{2} - 1}}{567 c^{3}} - \frac{16 b d^{2} e^{2} \sqrt{c^{2} x^{2} - 1}}{25 c^{5}} - \frac{32 b d e^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{16 b e^{4} x^{4} \sqrt{c^{2} x^{2} - 1}}{945 c^{5}} - \frac{64 b d e^{3} \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} - \frac{64 b e^{4} x^{2} \sqrt{c^{2} x^{2} - 1}}{2835 c^{7}} - \frac{128 b e^{4} \sqrt{c^{2} x^{2} - 1}}{2835 c^{9}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right) \left(d^{4} x + \frac{4 d^{3} e x^{3}}{3} + \frac{6 d^{2} e^{2} x^{5}}{5} + \frac{4 d e^{3} x^{7}}{7} + \frac{e^{4} x^{9}}{9}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d**4*x + 4*a*d**3*e*x**3/3 + 6*a*d**2*e**2*x**5/5 + 4*a*d*e**3*x**7/7 + a*e**4*x**9/9 + b*d**4*x*acosh(c*x) + 4*b*d**3*e*x**3*acosh(c*x)/3 + 6*b*d**2*e**2*x**5*acosh(c*x)/5 + 4*b*d*e**3*x**7*acosh(c*x)/7 + b*e**4*x**9*acosh(c*x)/9 - b*d**4*sqrt(c**2*x**2 - 1)/c - 4*b*d**3*e*x**2*sqrt(c**2*x**2 - 1)/(9*c) - 6*b*d**2*e**2*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 4*b*d*e**3*x**6*sqrt(c**2*x**2 - 1)/(49*c) - b*e**4*x**8*sqrt(c**2*x**2 - 1)/(81*c) - 8*b*d**3*e*sqrt(c**2*x**2 - 1)/(9*c**3) - 8*b*d**2*e**2*x**2*sqrt(c**2*x**2 - 1)/(25*c**3) - 24*b*d*e**3*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 8*b*e**4*x**6*sqrt(c**2*x**2 - 1)/(567*c**3) - 16*b*d**2*e**2*sqrt(c**2*x**2 - 1)/(25*c**5) - 32*b*d*e**3*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 16*b*e**4*x**4*sqrt(c**2*x**2 - 1)/(945*c**5) - 64*b*d*e**3*sqrt(c**2*x**2 - 1)/(245*c**7) - 64*b*e**4*x**2*sqrt(c**2*x**2 - 1)/(2835*c**7) - 128*b*e**4*sqrt(c**2*x**2 - 1)/(2835*c**9), Ne(c, 0)), ((a + I*pi*b/2)*(d**4*x + 4*d**3*e*x**3/3 + 6*d**2*e**2*x**5/5 + 4*d*e**3*x**7/7 + e**4*x**9/9), True))","A",0
489,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(e*x**2+d),x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))/(d + e*x**2), x)","F",0
490,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(e*x**2+d),x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))/(d + e*x**2), x)","F",0
491,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(e*x**2+d),x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))/(d + e*x**2), x)","F",0
492,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(e*x**2+d),x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))/(d + e*x**2), x)","F",0
493,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(e*x**2+d),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{d + e x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(d + e*x**2), x)","F",0
494,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(e*x**2+d),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x*(d + e*x**2)), x)","F",0
495,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(e*x**2+d),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{2} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**2*(d + e*x**2)), x)","F",0
496,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(e*x**2+d),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{3} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**3*(d + e*x**2)), x)","F",0
497,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**4/(e*x**2+d),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{4} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**4*(d + e*x**2)), x)","F",0
498,0,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(e*x**2+d)**2,x)","\int \frac{x^{3} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**3*(a + b*acosh(c*x))/(d + e*x**2)**2, x)","F",0
499,0,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(e*x**2+d)**2,x)","\int \frac{x \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x*(a + b*acosh(c*x))/(d + e*x**2)**2, x)","F",0
500,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(e*x**2+d)**2,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x \left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x*(d + e*x**2)**2), x)","F",0
501,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(e*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
502,0,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(e*x**2+d)**2,x)","\int \frac{x^{4} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**4*(a + b*acosh(c*x))/(d + e*x**2)**2, x)","F",0
503,0,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(e*x**2+d)**2,x)","\int \frac{x^{2} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(x**2*(a + b*acosh(c*x))/(d + e*x**2)**2, x)","F",0
504,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(e*x**2+d)**2,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(d + e*x**2)**2, x)","F",0
505,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**2/(e*x**2+d)**2,x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{x^{2} \left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(x**2*(d + e*x**2)**2), x)","F",0
506,-1,0,0,0.000000," ","integrate(x**5*(a+b*acosh(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
507,-1,0,0,0.000000," ","integrate(x**3*(a+b*acosh(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
508,-1,0,0,0.000000," ","integrate(x*(a+b*acosh(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
509,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
510,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))/x**3/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
511,-1,0,0,0.000000," ","integrate(x**4*(a+b*acosh(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
512,-1,0,0,0.000000," ","integrate(x**2*(a+b*acosh(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
513,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
514,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))*(e*x**2+d)**(1/2),x)","\int \left(a + b \operatorname{acosh}{\left(c x \right)}\right) \sqrt{d + e x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))*sqrt(d + e*x**2), x)","F",0
515,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(e*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{\sqrt{d + e x^{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/sqrt(d + e*x**2), x)","F",0
516,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(e*x**2+d)**(3/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{\left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(d + e*x**2)**(3/2), x)","F",0
517,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(e*x**2+d)**(5/2),x)","\int \frac{a + b \operatorname{acosh}{\left(c x \right)}}{\left(d + e x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))/(d + e*x**2)**(5/2), x)","F",0
518,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))/(e*x**2+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
519,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)**3*(a+b*acosh(c*x)),x)","\int \left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{3}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))*(d + e*x**2)**3, x)","F",0
520,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)**2*(a+b*acosh(c*x)),x)","\int \left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{2}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))*(d + e*x**2)**2, x)","F",0
521,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)*(a+b*acosh(c*x)),x)","\int \left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))*(d + e*x**2), x)","F",0
522,0,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(e*x**2+d),x)","\int \frac{\left(f x\right)^{m} \left(a + b \operatorname{acosh}{\left(c x \right)}\right)}{d + e x^{2}}\, dx"," ",0,"Integral((f*x)**m*(a + b*acosh(c*x))/(d + e*x**2), x)","F",0
523,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(e*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
524,-1,0,0,0.000000," ","integrate((f*x)**m*(a+b*acosh(c*x))/(e*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
525,1,996,0,13.776083," ","integrate((e*x**2+d)**3*(a+b*acosh(c*x))**2,x)","\begin{cases} a^{2} d^{3} x + a^{2} d^{2} e x^{3} + \frac{3 a^{2} d e^{2} x^{5}}{5} + \frac{a^{2} e^{3} x^{7}}{7} + 2 a b d^{3} x \operatorname{acosh}{\left(c x \right)} + 2 a b d^{2} e x^{3} \operatorname{acosh}{\left(c x \right)} + \frac{6 a b d e^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} + \frac{2 a b e^{3} x^{7} \operatorname{acosh}{\left(c x \right)}}{7} - \frac{2 a b d^{3} \sqrt{c^{2} x^{2} - 1}}{c} - \frac{2 a b d^{2} e x^{2} \sqrt{c^{2} x^{2} - 1}}{3 c} - \frac{6 a b d e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{2 a b e^{3} x^{6} \sqrt{c^{2} x^{2} - 1}}{49 c} - \frac{4 a b d^{2} e \sqrt{c^{2} x^{2} - 1}}{3 c^{3}} - \frac{8 a b d e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{25 c^{3}} - \frac{12 a b e^{3} x^{4} \sqrt{c^{2} x^{2} - 1}}{245 c^{3}} - \frac{16 a b d e^{2} \sqrt{c^{2} x^{2} - 1}}{25 c^{5}} - \frac{16 a b e^{3} x^{2} \sqrt{c^{2} x^{2} - 1}}{245 c^{5}} - \frac{32 a b e^{3} \sqrt{c^{2} x^{2} - 1}}{245 c^{7}} + b^{2} d^{3} x \operatorname{acosh}^{2}{\left(c x \right)} + 2 b^{2} d^{3} x + b^{2} d^{2} e x^{3} \operatorname{acosh}^{2}{\left(c x \right)} + \frac{2 b^{2} d^{2} e x^{3}}{9} + \frac{3 b^{2} d e^{2} x^{5} \operatorname{acosh}^{2}{\left(c x \right)}}{5} + \frac{6 b^{2} d e^{2} x^{5}}{125} + \frac{b^{2} e^{3} x^{7} \operatorname{acosh}^{2}{\left(c x \right)}}{7} + \frac{2 b^{2} e^{3} x^{7}}{343} - \frac{2 b^{2} d^{3} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{c} - \frac{2 b^{2} d^{2} e x^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{3 c} - \frac{6 b^{2} d e^{2} x^{4} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{25 c} - \frac{2 b^{2} e^{3} x^{6} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{49 c} + \frac{4 b^{2} d^{2} e x}{3 c^{2}} + \frac{8 b^{2} d e^{2} x^{3}}{75 c^{2}} + \frac{12 b^{2} e^{3} x^{5}}{1225 c^{2}} - \frac{4 b^{2} d^{2} e \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{3 c^{3}} - \frac{8 b^{2} d e^{2} x^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{25 c^{3}} - \frac{12 b^{2} e^{3} x^{4} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{245 c^{3}} + \frac{16 b^{2} d e^{2} x}{25 c^{4}} + \frac{16 b^{2} e^{3} x^{3}}{735 c^{4}} - \frac{16 b^{2} d e^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{25 c^{5}} - \frac{16 b^{2} e^{3} x^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{245 c^{5}} + \frac{32 b^{2} e^{3} x}{245 c^{6}} - \frac{32 b^{2} e^{3} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{245 c^{7}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right)^{2} \left(d^{3} x + d^{2} e x^{3} + \frac{3 d e^{2} x^{5}}{5} + \frac{e^{3} x^{7}}{7}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*d**3*x + a**2*d**2*e*x**3 + 3*a**2*d*e**2*x**5/5 + a**2*e**3*x**7/7 + 2*a*b*d**3*x*acosh(c*x) + 2*a*b*d**2*e*x**3*acosh(c*x) + 6*a*b*d*e**2*x**5*acosh(c*x)/5 + 2*a*b*e**3*x**7*acosh(c*x)/7 - 2*a*b*d**3*sqrt(c**2*x**2 - 1)/c - 2*a*b*d**2*e*x**2*sqrt(c**2*x**2 - 1)/(3*c) - 6*a*b*d*e**2*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 2*a*b*e**3*x**6*sqrt(c**2*x**2 - 1)/(49*c) - 4*a*b*d**2*e*sqrt(c**2*x**2 - 1)/(3*c**3) - 8*a*b*d*e**2*x**2*sqrt(c**2*x**2 - 1)/(25*c**3) - 12*a*b*e**3*x**4*sqrt(c**2*x**2 - 1)/(245*c**3) - 16*a*b*d*e**2*sqrt(c**2*x**2 - 1)/(25*c**5) - 16*a*b*e**3*x**2*sqrt(c**2*x**2 - 1)/(245*c**5) - 32*a*b*e**3*sqrt(c**2*x**2 - 1)/(245*c**7) + b**2*d**3*x*acosh(c*x)**2 + 2*b**2*d**3*x + b**2*d**2*e*x**3*acosh(c*x)**2 + 2*b**2*d**2*e*x**3/9 + 3*b**2*d*e**2*x**5*acosh(c*x)**2/5 + 6*b**2*d*e**2*x**5/125 + b**2*e**3*x**7*acosh(c*x)**2/7 + 2*b**2*e**3*x**7/343 - 2*b**2*d**3*sqrt(c**2*x**2 - 1)*acosh(c*x)/c - 2*b**2*d**2*e*x**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(3*c) - 6*b**2*d*e**2*x**4*sqrt(c**2*x**2 - 1)*acosh(c*x)/(25*c) - 2*b**2*e**3*x**6*sqrt(c**2*x**2 - 1)*acosh(c*x)/(49*c) + 4*b**2*d**2*e*x/(3*c**2) + 8*b**2*d*e**2*x**3/(75*c**2) + 12*b**2*e**3*x**5/(1225*c**2) - 4*b**2*d**2*e*sqrt(c**2*x**2 - 1)*acosh(c*x)/(3*c**3) - 8*b**2*d*e**2*x**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(25*c**3) - 12*b**2*e**3*x**4*sqrt(c**2*x**2 - 1)*acosh(c*x)/(245*c**3) + 16*b**2*d*e**2*x/(25*c**4) + 16*b**2*e**3*x**3/(735*c**4) - 16*b**2*d*e**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(25*c**5) - 16*b**2*e**3*x**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(245*c**5) + 32*b**2*e**3*x/(245*c**6) - 32*b**2*e**3*sqrt(c**2*x**2 - 1)*acosh(c*x)/(245*c**7), Ne(c, 0)), ((a + I*pi*b/2)**2*(d**3*x + d**2*e*x**3 + 3*d*e**2*x**5/5 + e**3*x**7/7), True))","A",0
526,1,602,0,4.767729," ","integrate((e*x**2+d)**2*(a+b*acosh(c*x))**2,x)","\begin{cases} a^{2} d^{2} x + \frac{2 a^{2} d e x^{3}}{3} + \frac{a^{2} e^{2} x^{5}}{5} + 2 a b d^{2} x \operatorname{acosh}{\left(c x \right)} + \frac{4 a b d e x^{3} \operatorname{acosh}{\left(c x \right)}}{3} + \frac{2 a b e^{2} x^{5} \operatorname{acosh}{\left(c x \right)}}{5} - \frac{2 a b d^{2} \sqrt{c^{2} x^{2} - 1}}{c} - \frac{4 a b d e x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{2 a b e^{2} x^{4} \sqrt{c^{2} x^{2} - 1}}{25 c} - \frac{8 a b d e \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} - \frac{8 a b e^{2} x^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{3}} - \frac{16 a b e^{2} \sqrt{c^{2} x^{2} - 1}}{75 c^{5}} + b^{2} d^{2} x \operatorname{acosh}^{2}{\left(c x \right)} + 2 b^{2} d^{2} x + \frac{2 b^{2} d e x^{3} \operatorname{acosh}^{2}{\left(c x \right)}}{3} + \frac{4 b^{2} d e x^{3}}{27} + \frac{b^{2} e^{2} x^{5} \operatorname{acosh}^{2}{\left(c x \right)}}{5} + \frac{2 b^{2} e^{2} x^{5}}{125} - \frac{2 b^{2} d^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{c} - \frac{4 b^{2} d e x^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{9 c} - \frac{2 b^{2} e^{2} x^{4} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{25 c} + \frac{8 b^{2} d e x}{9 c^{2}} + \frac{8 b^{2} e^{2} x^{3}}{225 c^{2}} - \frac{8 b^{2} d e \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{9 c^{3}} - \frac{8 b^{2} e^{2} x^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{75 c^{3}} + \frac{16 b^{2} e^{2} x}{75 c^{4}} - \frac{16 b^{2} e^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{75 c^{5}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right)^{2} \left(d^{2} x + \frac{2 d e x^{3}}{3} + \frac{e^{2} x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*d**2*x + 2*a**2*d*e*x**3/3 + a**2*e**2*x**5/5 + 2*a*b*d**2*x*acosh(c*x) + 4*a*b*d*e*x**3*acosh(c*x)/3 + 2*a*b*e**2*x**5*acosh(c*x)/5 - 2*a*b*d**2*sqrt(c**2*x**2 - 1)/c - 4*a*b*d*e*x**2*sqrt(c**2*x**2 - 1)/(9*c) - 2*a*b*e**2*x**4*sqrt(c**2*x**2 - 1)/(25*c) - 8*a*b*d*e*sqrt(c**2*x**2 - 1)/(9*c**3) - 8*a*b*e**2*x**2*sqrt(c**2*x**2 - 1)/(75*c**3) - 16*a*b*e**2*sqrt(c**2*x**2 - 1)/(75*c**5) + b**2*d**2*x*acosh(c*x)**2 + 2*b**2*d**2*x + 2*b**2*d*e*x**3*acosh(c*x)**2/3 + 4*b**2*d*e*x**3/27 + b**2*e**2*x**5*acosh(c*x)**2/5 + 2*b**2*e**2*x**5/125 - 2*b**2*d**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/c - 4*b**2*d*e*x**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(9*c) - 2*b**2*e**2*x**4*sqrt(c**2*x**2 - 1)*acosh(c*x)/(25*c) + 8*b**2*d*e*x/(9*c**2) + 8*b**2*e**2*x**3/(225*c**2) - 8*b**2*d*e*sqrt(c**2*x**2 - 1)*acosh(c*x)/(9*c**3) - 8*b**2*e**2*x**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(75*c**3) + 16*b**2*e**2*x/(75*c**4) - 16*b**2*e**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(75*c**5), Ne(c, 0)), ((a + I*pi*b/2)**2*(d**2*x + 2*d*e*x**3/3 + e**2*x**5/5), True))","A",0
527,1,286,0,1.356384," ","integrate((e*x**2+d)*(a+b*acosh(c*x))**2,x)","\begin{cases} a^{2} d x + \frac{a^{2} e x^{3}}{3} + 2 a b d x \operatorname{acosh}{\left(c x \right)} + \frac{2 a b e x^{3} \operatorname{acosh}{\left(c x \right)}}{3} - \frac{2 a b d \sqrt{c^{2} x^{2} - 1}}{c} - \frac{2 a b e x^{2} \sqrt{c^{2} x^{2} - 1}}{9 c} - \frac{4 a b e \sqrt{c^{2} x^{2} - 1}}{9 c^{3}} + b^{2} d x \operatorname{acosh}^{2}{\left(c x \right)} + 2 b^{2} d x + \frac{b^{2} e x^{3} \operatorname{acosh}^{2}{\left(c x \right)}}{3} + \frac{2 b^{2} e x^{3}}{27} - \frac{2 b^{2} d \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{c} - \frac{2 b^{2} e x^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{9 c} + \frac{4 b^{2} e x}{9 c^{2}} - \frac{4 b^{2} e \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{9 c^{3}} & \text{for}\: c \neq 0 \\\left(a + \frac{i \pi b}{2}\right)^{2} \left(d x + \frac{e x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*d*x + a**2*e*x**3/3 + 2*a*b*d*x*acosh(c*x) + 2*a*b*e*x**3*acosh(c*x)/3 - 2*a*b*d*sqrt(c**2*x**2 - 1)/c - 2*a*b*e*x**2*sqrt(c**2*x**2 - 1)/(9*c) - 4*a*b*e*sqrt(c**2*x**2 - 1)/(9*c**3) + b**2*d*x*acosh(c*x)**2 + 2*b**2*d*x + b**2*e*x**3*acosh(c*x)**2/3 + 2*b**2*e*x**3/27 - 2*b**2*d*sqrt(c**2*x**2 - 1)*acosh(c*x)/c - 2*b**2*e*x**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/(9*c) + 4*b**2*e*x/(9*c**2) - 4*b**2*e*sqrt(c**2*x**2 - 1)*acosh(c*x)/(9*c**3), Ne(c, 0)), ((a + I*pi*b/2)**2*(d*x + e*x**3/3), True))","A",0
528,1,88,0,0.274376," ","integrate((a+b*acosh(c*x))**2,x)","\begin{cases} a^{2} x + 2 a b x \operatorname{acosh}{\left(c x \right)} - \frac{2 a b \sqrt{c^{2} x^{2} - 1}}{c} + b^{2} x \operatorname{acosh}^{2}{\left(c x \right)} + 2 b^{2} x - \frac{2 b^{2} \sqrt{c^{2} x^{2} - 1} \operatorname{acosh}{\left(c x \right)}}{c} & \text{for}\: c \neq 0 \\x \left(a + \frac{i \pi b}{2}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + 2*a*b*x*acosh(c*x) - 2*a*b*sqrt(c**2*x**2 - 1)/c + b**2*x*acosh(c*x)**2 + 2*b**2*x - 2*b**2*sqrt(c**2*x**2 - 1)*acosh(c*x)/c, Ne(c, 0)), (x*(a + I*pi*b/2)**2, True))","A",0
529,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/(e*x**2+d),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{d + e x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(d + e*x**2), x)","F",0
530,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2*(e*x**2+d)**(1/2),x)","\int \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2} \sqrt{d + e x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2*sqrt(d + e*x**2), x)","F",0
531,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/(e*x**2+d)**(1/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\sqrt{d + e x^{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/sqrt(d + e*x**2), x)","F",0
532,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/(e*x**2+d)**(3/2),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}{\left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**2/(d + e*x**2)**(3/2), x)","F",0
533,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))**2/(e*x**2+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
534,0,0,0,0.000000," ","integrate((e*x**2+d)**2/(a+b*acosh(c*x)),x)","\int \frac{\left(d + e x^{2}\right)^{2}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral((d + e*x**2)**2/(a + b*acosh(c*x)), x)","F",0
535,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*acosh(c*x)),x)","\int \frac{d + e x^{2}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral((d + e*x**2)/(a + b*acosh(c*x)), x)","F",0
536,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x)),x)","\int \frac{1}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(1/(a + b*acosh(c*x)), x)","F",0
537,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*acosh(c*x)),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))*(d + e*x**2)), x)","F",0
538,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*acosh(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
539,0,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)/(a+b*acosh(c*x)),x)","\int \frac{\sqrt{d + e x^{2}}}{a + b \operatorname{acosh}{\left(c x \right)}}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(a + b*acosh(c*x)), x)","F",0
540,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))/(e*x**2+d)**(1/2),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \sqrt{d + e x^{2}}}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))*sqrt(d + e*x**2)), x)","F",0
541,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(3/2)/(a+b*acosh(c*x)),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))*(d + e*x**2)**(3/2)), x)","F",0
542,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(5/2)/(a+b*acosh(c*x)),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right) \left(d + e x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))*(d + e*x**2)**(5/2)), x)","F",0
543,0,0,0,0.000000," ","integrate((e*x**2+d)**2/(a+b*acosh(c*x))**2,x)","\int \frac{\left(d + e x^{2}\right)^{2}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((d + e*x**2)**2/(a + b*acosh(c*x))**2, x)","F",0
544,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*acosh(c*x))**2,x)","\int \frac{d + e x^{2}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((d + e*x**2)/(a + b*acosh(c*x))**2, x)","F",0
545,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**(-2), x)","F",0
546,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))**2*(d + e*x**2)), x)","F",0
547,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*acosh(c*x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
548,0,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)/(a+b*acosh(c*x))**2,x)","\int \frac{\sqrt{d + e x^{2}}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2}}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(a + b*acosh(c*x))**2, x)","F",0
549,0,0,0,0.000000," ","integrate(1/(a+b*acosh(c*x))**2/(e*x**2+d)**(1/2),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2} \sqrt{d + e x^{2}}}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))**2*sqrt(d + e*x**2)), x)","F",0
550,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(3/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2} \left(d + e x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))**2*(d + e*x**2)**(3/2)), x)","F",0
551,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**(5/2)/(a+b*acosh(c*x))**2,x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{2} \left(d + e x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))**2*(d + e*x**2)**(5/2)), x)","F",0
552,0,0,0,0.000000," ","integrate((e*x**2+d)**2*(a+b*acosh(c*x))**(1/2),x)","\int \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \left(d + e x^{2}\right)^{2}\, dx"," ",0,"Integral(sqrt(a + b*acosh(c*x))*(d + e*x**2)**2, x)","F",0
553,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acosh(c*x))**(1/2),x)","\int \sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \left(d + e x^{2}\right)\, dx"," ",0,"Integral(sqrt(a + b*acosh(c*x))*(d + e*x**2), x)","F",0
554,0,0,0,0.000000," ","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
555,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**(1/2)/(e*x**2+d),x)","\int \frac{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}}}{d + e x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*acosh(c*x))/(d + e*x**2), x)","F",0
556,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**(1/2)/(e*x**2+d)**2,x)","\int \frac{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}}}{\left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(sqrt(a + b*acosh(c*x))/(d + e*x**2)**2, x)","F",0
557,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acosh(c*x))**(3/2),x)","\int \left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}} \left(d + e x^{2}\right)\, dx"," ",0,"Integral((a + b*acosh(c*x))**(3/2)*(d + e*x**2), x)","F",0
558,0,0,0,0.000000," ","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
559,0,0,0,0.000000," ","integrate((a+b*acosh(c*x))**(3/2)/(e*x**2+d),x)","\int \frac{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}}{d + e x^{2}}\, dx"," ",0,"Integral((a + b*acosh(c*x))**(3/2)/(d + e*x**2), x)","F",0
560,-1,0,0,0.000000," ","integrate((a+b*acosh(c*x))**(3/2)/(e*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
561,0,0,0,0.000000," ","integrate((e*x**2+d)**2/(a+b*acosh(c*x))**(1/2),x)","\int \frac{\left(d + e x^{2}\right)^{2}}{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}}}\, dx"," ",0,"Integral((d + e*x**2)**2/sqrt(a + b*acosh(c*x)), x)","F",0
562,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*acosh(c*x))**(1/2),x)","\int \frac{d + e x^{2}}{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}}}\, dx"," ",0,"Integral((d + e*x**2)/sqrt(a + b*acosh(c*x)), x)","F",0
563,0,0,0,0.000000," ","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
564,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*acosh(c*x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/(sqrt(a + b*acosh(c*x))*(d + e*x**2)), x)","F",0
565,0,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*acosh(c*x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{acosh}{\left(c x \right)}} \left(d + e x^{2}\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(a + b*acosh(c*x))*(d + e*x**2)**2), x)","F",0
566,0,0,0,0.000000," ","integrate((e*x**2+d)/(a+b*acosh(c*x))**(3/2),x)","\int \frac{d + e x^{2}}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)/(a + b*acosh(c*x))**(3/2), x)","F",0
567,0,0,0,0.000000," ","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
568,0,0,0,0.000000," ","integrate(1/(e*x**2+d)/(a+b*acosh(c*x))**(3/2),x)","\int \frac{1}{\left(a + b \operatorname{acosh}{\left(c x \right)}\right)^{\frac{3}{2}} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(1/((a + b*acosh(c*x))**(3/2)*(d + e*x**2)), x)","F",0
569,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)**2/(a+b*acosh(c*x))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
