1,0,0,0,0.000000," ","integrate(x**3*acsch(b*x+a),x)","\int x^{3} \operatorname{acsch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*acsch(a + b*x), x)","F",0
2,0,0,0,0.000000," ","integrate(x**2*acsch(b*x+a),x)","\int x^{2} \operatorname{acsch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*acsch(a + b*x), x)","F",0
3,0,0,0,0.000000," ","integrate(x*acsch(b*x+a),x)","\int x \operatorname{acsch}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*acsch(a + b*x), x)","F",0
4,0,0,0,0.000000," ","integrate(acsch(b*x+a)/x,x)","\int \frac{\operatorname{acsch}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(acsch(a + b*x)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(acsch(b*x+a)/x**2,x)","\int \frac{\operatorname{acsch}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(acsch(a + b*x)/x**2, x)","F",0
6,0,0,0,0.000000," ","integrate(acsch(b*x+a)/x**3,x)","\int \frac{\operatorname{acsch}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(acsch(a + b*x)/x**3, x)","F",0
7,0,0,0,0.000000," ","integrate((f*x+e)**3*(a+b*acsch(d*x+c))**2,x)","\int \left(a + b \operatorname{acsch}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)^{3}\, dx"," ",0,"Integral((a + b*acsch(c + d*x))**2*(e + f*x)**3, x)","F",0
8,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*acsch(d*x+c))**2,x)","\int \left(a + b \operatorname{acsch}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*acsch(c + d*x))**2*(e + f*x)**2, x)","F",0
9,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*acsch(d*x+c))**2,x)","\int \left(a + b \operatorname{acsch}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*acsch(c + d*x))**2*(e + f*x), x)","F",0
10,0,0,0,0.000000," ","integrate((a+b*acsch(d*x+c))**2,x)","\int \left(a + b \operatorname{acsch}{\left(c + d x \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*acsch(c + d*x))**2, x)","F",0
11,0,0,0,0.000000," ","integrate((a+b*acsch(d*x+c))**2/(f*x+e),x)","\int \frac{\left(a + b \operatorname{acsch}{\left(c + d x \right)}\right)^{2}}{e + f x}\, dx"," ",0,"Integral((a + b*acsch(c + d*x))**2/(e + f*x), x)","F",0
12,0,0,0,0.000000," ","integrate((a+b*acsch(d*x+c))**2/(f*x+e)**2,x)","\int \frac{\left(a + b \operatorname{acsch}{\left(c + d x \right)}\right)^{2}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*acsch(c + d*x))**2/(e + f*x)**2, x)","F",0
13,0,0,0,0.000000," ","integrate((a+b*acsch(d*x+c))**2/(f*x+e)**3,x)","\int \frac{\left(a + b \operatorname{acsch}{\left(c + d x \right)}\right)^{2}}{\left(e + f x\right)^{3}}\, dx"," ",0,"Integral((a + b*acsch(c + d*x))**2/(e + f*x)**3, x)","F",0
14,0,0,0,0.000000," ","integrate(x**3*acsch(x**(1/2)),x)","\int x^{3} \operatorname{acsch}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x**3*acsch(sqrt(x)), x)","F",0
15,0,0,0,0.000000," ","integrate(x**2*acsch(x**(1/2)),x)","\int x^{2} \operatorname{acsch}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x**2*acsch(sqrt(x)), x)","F",0
16,0,0,0,0.000000," ","integrate(x*acsch(x**(1/2)),x)","\int x \operatorname{acsch}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x*acsch(sqrt(x)), x)","F",0
17,0,0,0,0.000000," ","integrate(acsch(x**(1/2)),x)","\int \operatorname{acsch}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(acsch(sqrt(x)), x)","F",0
18,0,0,0,0.000000," ","integrate(acsch(x**(1/2))/x,x)","\int \frac{\operatorname{acsch}{\left(\sqrt{x} \right)}}{x}\, dx"," ",0,"Integral(acsch(sqrt(x))/x, x)","F",0
19,0,0,0,0.000000," ","integrate(acsch(x**(1/2))/x**2,x)","\int \frac{\operatorname{acsch}{\left(\sqrt{x} \right)}}{x^{2}}\, dx"," ",0,"Integral(acsch(sqrt(x))/x**2, x)","F",0
20,0,0,0,0.000000," ","integrate(acsch(x**(1/2))/x**3,x)","\int \frac{\operatorname{acsch}{\left(\sqrt{x} \right)}}{x^{3}}\, dx"," ",0,"Integral(acsch(sqrt(x))/x**3, x)","F",0
21,0,0,0,0.000000," ","integrate(acsch(x**(1/2))/x**4,x)","\int \frac{\operatorname{acsch}{\left(\sqrt{x} \right)}}{x^{4}}\, dx"," ",0,"Integral(acsch(sqrt(x))/x**4, x)","F",0
22,1,14,0,0.116120," ","integrate(acsch(1/x),x)","x \operatorname{acsch}{\left(\frac{1}{x} \right)} - \sqrt{x^{2} + 1}"," ",0,"x*acsch(1/x) - sqrt(x**2 + 1)","A",0
23,0,0,0,0.000000," ","integrate(acsch(a*x**n)/x,x)","\int \frac{\operatorname{acsch}{\left(a x^{n} \right)}}{x}\, dx"," ",0,"Integral(acsch(a*x**n)/x, x)","F",0
24,0,0,0,0.000000," ","integrate(acsch(a*x**5)/x,x)","\int \frac{\operatorname{acsch}{\left(a x^{5} \right)}}{x}\, dx"," ",0,"Integral(acsch(a*x**5)/x, x)","F",0
25,0,0,0,0.000000," ","integrate(acsch(c*exp(b*x+a)),x)","\int \operatorname{acsch}{\left(c e^{a + b x} \right)}\, dx"," ",0,"Integral(acsch(c*exp(a + b*x)), x)","F",0
26,1,51,0,5.992717," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))*x**m,x)","- \frac{x^{m} \Gamma\left(- \frac{m}{2}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{m}{2} \\ \frac{m}{2} + 1 \end{matrix}\middle| {a^{2} x^{2} e^{i \pi}} \right)}}{2 a \Gamma\left(1 - \frac{m}{2}\right)} + \frac{\begin{cases} \frac{x^{m}}{m} & \text{for}\: m \neq 0 \\\log{\left(x \right)} & \text{otherwise} \end{cases}}{a}"," ",0,"-x**m*gamma(-m/2)*hyper((-1/2, m/2), (m/2 + 1,), a**2*x**2*exp_polar(I*pi))/(2*a*gamma(1 - m/2)) + Piecewise((x**m/m, Ne(m, 0)), (log(x), True))/a","A",0
27,1,63,0,3.014242," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))*x**4,x)","\frac{x^{4} \sqrt{a^{2} x^{2} + 1}}{5 a} + \frac{x^{4}}{4 a} + \frac{x^{2} \sqrt{a^{2} x^{2} + 1}}{15 a^{3}} - \frac{2 \sqrt{a^{2} x^{2} + 1}}{15 a^{5}}"," ",0,"x**4*sqrt(a**2*x**2 + 1)/(5*a) + x**4/(4*a) + x**2*sqrt(a**2*x**2 + 1)/(15*a**3) - 2*sqrt(a**2*x**2 + 1)/(15*a**5)","A",0
28,1,73,0,4.601277," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))*x**3,x)","\frac{a x^{5}}{4 \sqrt{a^{2} x^{2} + 1}} + \frac{x^{3}}{3 a} + \frac{3 x^{3}}{8 a \sqrt{a^{2} x^{2} + 1}} + \frac{x}{8 a^{3} \sqrt{a^{2} x^{2} + 1}} - \frac{\operatorname{asinh}{\left(a x \right)}}{8 a^{4}}"," ",0,"a*x**5/(4*sqrt(a**2*x**2 + 1)) + x**3/(3*a) + 3*x**3/(8*a*sqrt(a**2*x**2 + 1)) + x/(8*a**3*sqrt(a**2*x**2 + 1)) - asinh(a*x)/(8*a**4)","A",0
29,1,41,0,2.712099," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))*x**2,x)","\frac{x^{2} \sqrt{a^{2} x^{2} + 1}}{3 a} + \frac{x^{2}}{2 a} + \frac{\sqrt{a^{2} x^{2} + 1}}{3 a^{3}}"," ",0,"x**2*sqrt(a**2*x**2 + 1)/(3*a) + x**2/(2*a) + sqrt(a**2*x**2 + 1)/(3*a**3)","A",0
30,1,29,0,3.249295," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))*x,x)","\frac{x \sqrt{a^{2} x^{2} + 1}}{2 a} + \frac{x}{a} + \frac{\operatorname{asinh}{\left(a x \right)}}{2 a^{2}}"," ",0,"x*sqrt(a**2*x**2 + 1)/(2*a) + x/a + asinh(a*x)/(2*a**2)","A",0
31,1,48,0,1.142792," ","integrate(1/a/x+(1+1/a**2/x**2)**(1/2),x)","\frac{x}{\sqrt{1 + \frac{1}{a^{2} x^{2}}}} + \frac{\log{\left(x \right)}}{a} - \frac{\operatorname{asinh}{\left(\frac{1}{a x} \right)}}{a} + \frac{1}{a^{2} x \sqrt{1 + \frac{1}{a^{2} x^{2}}}}"," ",0,"x/sqrt(1 + 1/(a**2*x**2)) + log(x)/a - asinh(1/(a*x))/a + 1/(a**2*x*sqrt(1 + 1/(a**2*x**2)))","A",0
32,1,41,0,4.813109," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))/x,x)","- \frac{a x}{\sqrt{a^{2} x^{2} + 1}} + \operatorname{asinh}{\left(a x \right)} - \frac{1}{a x} - \frac{1}{a x \sqrt{a^{2} x^{2} + 1}}"," ",0,"-a*x/sqrt(a**2*x**2 + 1) + asinh(a*x) - 1/(a*x) - 1/(a*x*sqrt(a**2*x**2 + 1))","A",0
33,1,36,0,3.233024," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))/x**2,x)","- \frac{a \operatorname{asinh}{\left(\frac{1}{a x} \right)}}{2} - \frac{\sqrt{1 + \frac{1}{a^{2} x^{2}}}}{2 x} - \frac{1}{2 a x^{2}}"," ",0,"-a*asinh(1/(a*x))/2 - sqrt(1 + 1/(a**2*x**2))/(2*x) - 1/(2*a*x**2)","A",0
34,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))/x**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
35,1,83,0,4.253530," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))/x**4,x)","\frac{a^{3} \operatorname{asinh}{\left(\frac{1}{a x} \right)}}{8} - \frac{a^{2}}{8 x \sqrt{1 + \frac{1}{a^{2} x^{2}}}} - \frac{3}{8 x^{3} \sqrt{1 + \frac{1}{a^{2} x^{2}}}} - \frac{1}{4 a x^{4}} - \frac{1}{4 a^{2} x^{5} \sqrt{1 + \frac{1}{a^{2} x^{2}}}}"," ",0,"a**3*asinh(1/(a*x))/8 - a**2/(8*x*sqrt(1 + 1/(a**2*x**2))) - 3/(8*x**3*sqrt(1 + 1/(a**2*x**2))) - 1/(4*a*x**4) - 1/(4*a**2*x**5*sqrt(1 + 1/(a**2*x**2)))","A",0
36,1,65,0,2.699723," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))/x**5,x)","\frac{2 a^{3} \sqrt{a^{2} x^{2} + 1}}{15 x} - \frac{a \sqrt{a^{2} x^{2} + 1}}{15 x^{3}} - \frac{\sqrt{a^{2} x^{2} + 1}}{5 a x^{5}} - \frac{1}{5 a x^{5}}"," ",0,"2*a**3*sqrt(a**2*x**2 + 1)/(15*x) - a*sqrt(a**2*x**2 + 1)/(15*x**3) - sqrt(a**2*x**2 + 1)/(5*a*x**5) - 1/(5*a*x**5)","A",0
37,1,66,0,6.028912," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))*x**m,x)","- \frac{x x^{m} \Gamma\left(- \frac{m}{4} - \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{m}{4} - \frac{1}{4} \\ \frac{3}{4} - \frac{m}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{a^{2} x^{4}}} \right)}}{4 \Gamma\left(\frac{3}{4} - \frac{m}{4}\right)} + \frac{\begin{cases} \frac{x^{m}}{m x - x} & \text{for}\: m \neq 1 \\\log{\left(x \right)} & \text{otherwise} \end{cases}}{a}"," ",0,"-x*x**m*gamma(-m/4 - 1/4)*hyper((-1/2, -m/4 - 1/4), (3/4 - m/4,), exp_polar(I*pi)/(a**2*x**4))/(4*gamma(3/4 - m/4)) + Piecewise((x**m/(m*x - x), Ne(m, 1)), (log(x), True))/a","A",0
38,1,48,0,2.458942," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))*x**4,x)","- \frac{x^{5} \Gamma\left(- \frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{5}{4}, - \frac{1}{2} \\ - \frac{1}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{a^{2} x^{4}}} \right)}}{4 \Gamma\left(- \frac{1}{4}\right)} + \frac{x^{3}}{3 a}"," ",0,"-x**5*gamma(-5/4)*hyper((-5/4, -1/2), (-1/4,), exp_polar(I*pi)/(a**2*x**4))/(4*gamma(-1/4)) + x**3/(3*a)","C",0
39,1,36,0,3.684156," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))*x**3,x)","\frac{x^{2} \sqrt{a^{2} x^{4} + 1}}{4 a} + \frac{x^{2}}{2 a} + \frac{\operatorname{asinh}{\left(a x^{2} \right)}}{4 a^{2}}"," ",0,"x**2*sqrt(a**2*x**4 + 1)/(4*a) + x**2/(2*a) + asinh(a*x**2)/(4*a**2)","A",0
40,1,41,0,2.155356," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))*x**2,x)","- \frac{x^{3} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{a^{2} x^{4}}} \right)}}{4 \Gamma\left(\frac{1}{4}\right)} + \frac{x}{a}"," ",0,"-x**3*gamma(-3/4)*hyper((-3/4, -1/2), (1/4,), exp_polar(I*pi)/(a**2*x**4))/(4*gamma(1/4)) + x/a","C",0
41,1,58,0,6.792681," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))*x,x)","\frac{x^{2}}{2 \sqrt{1 + \frac{1}{a^{2} x^{4}}}} + \frac{\log{\left(x \right)}}{a} - \frac{\operatorname{asinh}{\left(\frac{1}{a x^{2}} \right)}}{2 a} + \frac{1}{2 a^{2} x^{2} \sqrt{1 + \frac{1}{a^{2} x^{4}}}}"," ",0,"x**2/(2*sqrt(1 + 1/(a**2*x**4))) + log(x)/a - asinh(1/(a*x**2))/(2*a) + 1/(2*a**2*x**2*sqrt(1 + 1/(a**2*x**4)))","A",0
42,1,42,0,0.775127," ","integrate(1/a/x**2+(1+1/a**2/x**4)**(1/2),x)","- \frac{x \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{a^{2} x^{4}}} \right)}}{4 \Gamma\left(\frac{3}{4}\right)} - \frac{1}{a x}"," ",0,"-x*gamma(-1/4)*hyper((-1/2, -1/4), (3/4,), exp_polar(I*pi)/(a**2*x**4))/(4*gamma(3/4)) - 1/(a*x)","C",0
43,1,54,0,10.693607," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))/x,x)","- \frac{a x^{2}}{2 \sqrt{a^{2} x^{4} + 1}} + \frac{\operatorname{asinh}{\left(a x^{2} \right)}}{2} - \frac{1}{2 a x^{2}} - \frac{1}{2 a x^{2} \sqrt{a^{2} x^{4} + 1}}"," ",0,"-a*x**2/(2*sqrt(a**2*x**4 + 1)) + asinh(a*x**2)/2 - 1/(2*a*x**2) - 1/(2*a*x**2*sqrt(a**2*x**4 + 1))","A",0
44,1,42,0,2.276101," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))/x**2,x)","- \frac{\Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{a^{2} x^{4}}} \right)}}{4 x \Gamma\left(\frac{5}{4}\right)} - \frac{1}{3 a x^{3}}"," ",0,"-gamma(1/4)*hyper((-1/2, 1/4), (5/4,), exp_polar(I*pi)/(a**2*x**4))/(4*x*gamma(5/4)) - 1/(3*a*x**3)","C",0
45,1,39,0,3.971156," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))/x**3,x)","- \frac{a \operatorname{asinh}{\left(\frac{1}{a x^{2}} \right)}}{4} - \frac{\sqrt{1 + \frac{1}{a^{2} x^{4}}}}{4 x^{2}} - \frac{1}{4 a x^{4}}"," ",0,"-a*asinh(1/(a*x**2))/4 - sqrt(1 + 1/(a**2*x**4))/(4*x**2) - 1/(4*a*x**4)","A",0
46,1,44,0,2.563243," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))/x**4,x)","- \frac{\Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{e^{i \pi}}{a^{2} x^{4}}} \right)}}{4 x^{3} \Gamma\left(\frac{7}{4}\right)} - \frac{1}{5 a x^{5}}"," ",0,"-gamma(3/4)*hyper((-1/2, 3/4), (7/4,), exp_polar(I*pi)/(a**2*x**4))/(4*x**3*gamma(7/4)) - 1/(5*a*x**5)","C",0
47,-2,0,0,0.000000," ","integrate((1/a/x**2+(1+1/a**2/x**4)**(1/2))/x**5,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
48,1,71,0,7.151837," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2*x**m,x)","\begin{cases} \frac{x^{m + 1}}{m + 1} & \text{for}\: m \neq -1 \\\log{\left(x \right)} & \text{otherwise} \end{cases} - \frac{x^{m} \Gamma\left(- \frac{m}{2}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{m}{2} \\ 1 - \frac{m}{2} \end{matrix}\middle| {\frac{e^{i \pi}}{a^{2} x^{2}}} \right)}}{a \Gamma\left(1 - \frac{m}{2}\right)} + \frac{2 \left(\begin{cases} \frac{x^{m}}{m x - x} & \text{for}\: m \neq 1 \\\log{\left(x \right)} & \text{otherwise} \end{cases}\right)}{a^{2}}"," ",0,"Piecewise((x**(m + 1)/(m + 1), Ne(m, -1)), (log(x), True)) - x**m*gamma(-m/2)*hyper((-1/2, -m/2), (1 - m/2,), exp_polar(I*pi)/(a**2*x**2))/(a*gamma(1 - m/2)) + 2*Piecewise((x**m/(m*x - x), Ne(m, 1)), (log(x), True))/a**2","A",0
49,1,82,0,4.720852," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2*x**4,x)","\frac{x^{5}}{5} + \frac{x^{5}}{2 \sqrt{a^{2} x^{2} + 1}} + \frac{2 x^{3}}{3 a^{2}} + \frac{3 x^{3}}{4 a^{2} \sqrt{a^{2} x^{2} + 1}} + \frac{x}{4 a^{4} \sqrt{a^{2} x^{2} + 1}} - \frac{\operatorname{asinh}{\left(a x \right)}}{4 a^{5}}"," ",0,"x**5/5 + x**5/(2*sqrt(a**2*x**2 + 1)) + 2*x**3/(3*a**2) + 3*x**3/(4*a**2*sqrt(a**2*x**2 + 1)) + x/(4*a**4*sqrt(a**2*x**2 + 1)) - asinh(a*x)/(4*a**5)","A",0
50,1,51,0,2.773698," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2*x**3,x)","\frac{x^{4}}{4} + \frac{2 x^{2} \sqrt{a^{2} x^{2} + 1}}{3 a^{2}} + \frac{x^{2}}{a^{2}} + \frac{2 \sqrt{a^{2} x^{2} + 1}}{3 a^{4}}"," ",0,"x**4/4 + 2*x**2*sqrt(a**2*x**2 + 1)/(3*a**2) + x**2/a**2 + 2*sqrt(a**2*x**2 + 1)/(3*a**4)","A",0
51,1,36,0,3.332538," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2*x**2,x)","\frac{x^{3}}{3} + \frac{x \sqrt{a^{2} x^{2} + 1}}{a^{2}} + \frac{2 x}{a^{2}} + \frac{\operatorname{asinh}{\left(a x \right)}}{a^{3}}"," ",0,"x**3/3 + x*sqrt(a**2*x**2 + 1)/a**2 + 2*x/a**2 + asinh(a*x)/a**3","A",0
52,1,63,0,3.794259," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2*x,x)","\frac{x^{2}}{2} + \frac{2 x}{a \sqrt{1 + \frac{1}{a^{2} x^{2}}}} + \frac{2 \log{\left(x \right)}}{a^{2}} - \frac{2 \operatorname{asinh}{\left(\frac{1}{a x} \right)}}{a^{2}} + \frac{2}{a^{3} x \sqrt{1 + \frac{1}{a^{2} x^{2}}}}"," ",0,"x**2/2 + 2*x/(a*sqrt(1 + 1/(a**2*x**2))) + 2*log(x)/a**2 - 2*asinh(1/(a*x))/a**2 + 2/(a**3*x*sqrt(1 + 1/(a**2*x**2)))","A",0
53,1,49,0,3.631394," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2,x)","x - \frac{2 x}{\sqrt{a^{2} x^{2} + 1}} + \frac{2 \operatorname{asinh}{\left(a x \right)}}{a} - \frac{2}{a^{2} x} - \frac{2}{a^{2} x \sqrt{a^{2} x^{2} + 1}}"," ",0,"x - 2*x/sqrt(a**2*x**2 + 1) + 2*asinh(a*x)/a - 2/(a**2*x) - 2/(a**2*x*sqrt(a**2*x**2 + 1))","A",0
54,1,34,0,4.077118," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2/x,x)","\log{\left(x \right)} - \operatorname{asinh}{\left(\frac{1}{a x} \right)} - \frac{\sqrt{1 + \frac{1}{a^{2} x^{2}}}}{a x} - \frac{1}{a^{2} x^{2}}"," ",0,"log(x) - asinh(1/(a*x)) - sqrt(1 + 1/(a**2*x**2))/(a*x) - 1/(a**2*x**2)","A",0
55,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2/x**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
56,1,92,0,4.606678," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2/x**3,x)","\frac{a^{2} \operatorname{asinh}{\left(\frac{1}{a x} \right)}}{4} - \frac{a}{4 x \sqrt{1 + \frac{1}{a^{2} x^{2}}}} - \frac{1}{2 x^{2}} - \frac{3}{4 a x^{3} \sqrt{1 + \frac{1}{a^{2} x^{2}}}} - \frac{1}{2 a^{2} x^{4}} - \frac{1}{2 a^{3} x^{5} \sqrt{1 + \frac{1}{a^{2} x^{2}}}}"," ",0,"a**2*asinh(1/(a*x))/4 - a/(4*x*sqrt(1 + 1/(a**2*x**2))) - 1/(2*x**2) - 3/(4*a*x**3*sqrt(1 + 1/(a**2*x**2))) - 1/(2*a**2*x**4) - 1/(2*a**3*x**5*sqrt(1 + 1/(a**2*x**2)))","A",0
57,1,76,0,3.072953," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2/x**4,x)","\frac{4 a^{2} \sqrt{a^{2} x^{2} + 1}}{15 x} - \frac{2 \sqrt{a^{2} x^{2} + 1}}{15 x^{3}} - \frac{1}{3 x^{3}} - \frac{2 \sqrt{a^{2} x^{2} + 1}}{5 a^{2} x^{5}} - \frac{2}{5 a^{2} x^{5}}"," ",0,"4*a**2*sqrt(a**2*x**2 + 1)/(15*x) - 2*sqrt(a**2*x**2 + 1)/(15*x**3) - 1/(3*x**3) - 2*sqrt(a**2*x**2 + 1)/(5*a**2*x**5) - 2/(5*a**2*x**5)","A",0
58,1,114,0,6.325326," ","integrate((1/a/x+(1+1/a**2/x**2)**(1/2))**2/x**5,x)","- \frac{a^{4} \operatorname{asinh}{\left(\frac{1}{a x} \right)}}{8} + \frac{a^{3}}{8 x \sqrt{1 + \frac{1}{a^{2} x^{2}}}} + \frac{a}{24 x^{3} \sqrt{1 + \frac{1}{a^{2} x^{2}}}} - \frac{1}{4 x^{4}} - \frac{5}{12 a x^{5} \sqrt{1 + \frac{1}{a^{2} x^{2}}}} - \frac{1}{3 a^{2} x^{6}} - \frac{1}{3 a^{3} x^{7} \sqrt{1 + \frac{1}{a^{2} x^{2}}}}"," ",0,"-a**4*asinh(1/(a*x))/8 + a**3/(8*x*sqrt(1 + 1/(a**2*x**2))) + a/(24*x**3*sqrt(1 + 1/(a**2*x**2))) - 1/(4*x**4) - 5/(12*a*x**5*sqrt(1 + 1/(a**2*x**2))) - 1/(3*a**2*x**6) - 1/(3*a**3*x**7*sqrt(1 + 1/(a**2*x**2)))","A",0
59,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))*(d*x)**m/(c**2*x**2+1),x)","\frac{\int \frac{\left(d x\right)^{m}}{c^{2} x^{3} + x}\, dx + \int \frac{c x \left(d x\right)^{m} \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{3} + x}\, dx}{c}"," ",0,"(Integral((d*x)**m/(c**2*x**3 + x), x) + Integral(c*x*(d*x)**m*sqrt(1 + 1/(c**2*x**2))/(c**2*x**3 + x), x))/c","F",0
60,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))*x**5/(c**2*x**2+1),x)","\frac{\int \frac{x^{4}}{c^{2} x^{2} + 1}\, dx + \int \frac{c x^{5} \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{2} + 1}\, dx}{c}"," ",0,"(Integral(x**4/(c**2*x**2 + 1), x) + Integral(c*x**5*sqrt(1 + 1/(c**2*x**2))/(c**2*x**2 + 1), x))/c","F",0
61,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))*x**4/(c**2*x**2+1),x)","\frac{\int \frac{x^{3}}{c^{2} x^{2} + 1}\, dx + \int \frac{c x^{4} \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{2} + 1}\, dx}{c}"," ",0,"(Integral(x**3/(c**2*x**2 + 1), x) + Integral(c*x**4*sqrt(1 + 1/(c**2*x**2))/(c**2*x**2 + 1), x))/c","F",0
62,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))*x**3/(c**2*x**2+1),x)","\frac{\int \frac{x^{2}}{c^{2} x^{2} + 1}\, dx + \int \frac{c x^{3} \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{2} + 1}\, dx}{c}"," ",0,"(Integral(x**2/(c**2*x**2 + 1), x) + Integral(c*x**3*sqrt(1 + 1/(c**2*x**2))/(c**2*x**2 + 1), x))/c","F",0
63,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))*x**2/(c**2*x**2+1),x)","\frac{\int \frac{x}{c^{2} x^{2} + 1}\, dx + \int \frac{c x^{2} \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{2} + 1}\, dx}{c}"," ",0,"(Integral(x/(c**2*x**2 + 1), x) + Integral(c*x**2*sqrt(1 + 1/(c**2*x**2))/(c**2*x**2 + 1), x))/c","F",0
64,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))*x/(c**2*x**2+1),x)","\frac{\int \frac{c x \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{2} + 1}\, dx + \int \frac{1}{c^{2} x^{2} + 1}\, dx}{c}"," ",0,"(Integral(c*x*sqrt(1 + 1/(c**2*x**2))/(c**2*x**2 + 1), x) + Integral(1/(c**2*x**2 + 1), x))/c","F",0
65,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))/(c**2*x**2+1),x)","\frac{\int \frac{c x \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{3} + x}\, dx + \int \frac{1}{c^{2} x^{3} + x}\, dx}{c}"," ",0,"(Integral(c*x*sqrt(1 + 1/(c**2*x**2))/(c**2*x**3 + x), x) + Integral(1/(c**2*x**3 + x), x))/c","F",0
66,-2,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))/x/(c**2*x**2+1),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
67,0,0,0,0.000000," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))/x**2/(c**2*x**2+1),x)","\frac{\int \frac{c x \sqrt{1 + \frac{1}{c^{2} x^{2}}}}{c^{2} x^{5} + x^{3}}\, dx + \int \frac{1}{c^{2} x^{5} + x^{3}}\, dx}{c}"," ",0,"(Integral(c*x*sqrt(1 + 1/(c**2*x**2))/(c**2*x**5 + x**3), x) + Integral(1/(c**2*x**5 + x**3), x))/c","F",0
68,1,75,0,5.230619," ","integrate((1/c/x+(1+1/c**2/x**2)**(1/2))/x**3/(c**2*x**2+1),x)","- 2 c^{5} \left(\frac{\left(1 + \frac{1}{c^{2} x^{2}}\right)^{\frac{3}{2}}}{6 c^{3}} - \frac{\sqrt{1 + \frac{1}{c^{2} x^{2}}}}{2 c^{3}}\right) - \frac{c^{3} \operatorname{atan}{\left(\frac{1}{x \sqrt{c^{2}}} \right)}}{\sqrt{c^{2}}} + \frac{c}{x} - \frac{1}{3 c x^{3}}"," ",0,"-2*c**5*((1 + 1/(c**2*x**2))**(3/2)/(6*c**3) - sqrt(1 + 1/(c**2*x**2))/(2*c**3)) - c**3*atan(1/(x*sqrt(c**2)))/sqrt(c**2) + c/x - 1/(3*c*x**3)","A",0
69,0,0,0,0.000000," ","integrate(acsch(b*x+a)/(a*d/b+d*x),x)","\frac{b \int \frac{\operatorname{acsch}{\left(a + b x \right)}}{a + b x}\, dx}{d}"," ",0,"b*Integral(acsch(a + b*x)/(a + b*x), x)/d","F",0
70,-1,0,0,0.000000," ","integrate(x**3*acsch(b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate(x**(-1+n)*acsch(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
