1,0,0,0,0.000000," ","integrate(x**3*asech(b*x+a),x)","\int x^{3} \operatorname{asech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*asech(a + b*x), x)","F",0
2,0,0,0,0.000000," ","integrate(x**2*asech(b*x+a),x)","\int x^{2} \operatorname{asech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*asech(a + b*x), x)","F",0
3,0,0,0,0.000000," ","integrate(x*asech(b*x+a),x)","\int x \operatorname{asech}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*asech(a + b*x), x)","F",0
4,0,0,0,0.000000," ","integrate(asech(b*x+a),x)","\int \operatorname{asech}{\left(a + b x \right)}\, dx"," ",0,"Integral(asech(a + b*x), x)","F",0
5,0,0,0,0.000000," ","integrate(asech(b*x+a)/x,x)","\int \frac{\operatorname{asech}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(asech(a + b*x)/x, x)","F",0
6,0,0,0,0.000000," ","integrate(asech(b*x+a)/x**2,x)","\int \frac{\operatorname{asech}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(asech(a + b*x)/x**2, x)","F",0
7,0,0,0,0.000000," ","integrate(asech(b*x+a)/x**3,x)","\int \frac{\operatorname{asech}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(asech(a + b*x)/x**3, x)","F",0
8,0,0,0,0.000000," ","integrate(asech(b*x+a)/x**4,x)","\int \frac{\operatorname{asech}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(asech(a + b*x)/x**4, x)","F",0
9,0,0,0,0.000000," ","integrate(x**2*asech(b*x+a)**2,x)","\int x^{2} \operatorname{asech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*asech(a + b*x)**2, x)","F",0
10,0,0,0,0.000000," ","integrate(x*asech(b*x+a)**2,x)","\int x \operatorname{asech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*asech(a + b*x)**2, x)","F",0
11,0,0,0,0.000000," ","integrate(asech(b*x+a)**2,x)","\int \operatorname{asech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(asech(a + b*x)**2, x)","F",0
12,0,0,0,0.000000," ","integrate(asech(b*x+a)**2/x,x)","\int \frac{\operatorname{asech}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(asech(a + b*x)**2/x, x)","F",0
13,0,0,0,0.000000," ","integrate(asech(b*x+a)**2/x**2,x)","\int \frac{\operatorname{asech}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(asech(a + b*x)**2/x**2, x)","F",0
14,0,0,0,0.000000," ","integrate(asech(b*x+a)**2/x**3,x)","\int \frac{\operatorname{asech}^{2}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(asech(a + b*x)**2/x**3, x)","F",0
15,0,0,0,0.000000," ","integrate(x*asech(b*x+a)**3,x)","\int x \operatorname{asech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*asech(a + b*x)**3, x)","F",0
16,0,0,0,0.000000," ","integrate(asech(b*x+a)**3,x)","\int \operatorname{asech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(asech(a + b*x)**3, x)","F",0
17,0,0,0,0.000000," ","integrate(asech(b*x+a)**3/x,x)","\int \frac{\operatorname{asech}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(asech(a + b*x)**3/x, x)","F",0
18,0,0,0,0.000000," ","integrate(asech(b*x+a)**3/x**2,x)","\int \frac{\operatorname{asech}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(asech(a + b*x)**3/x**2, x)","F",0
19,0,0,0,0.000000," ","integrate(asech(b*x+a)**3/x**3,x)","\int \frac{\operatorname{asech}^{3}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(asech(a + b*x)**3/x**3, x)","F",0
20,0,0,0,0.000000," ","integrate(x**3*asech(x**(1/2)),x)","\int x^{3} \operatorname{asech}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x**3*asech(sqrt(x)), x)","F",0
21,0,0,0,0.000000," ","integrate(x**2*asech(x**(1/2)),x)","\int x^{2} \operatorname{asech}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x**2*asech(sqrt(x)), x)","F",0
22,0,0,0,0.000000," ","integrate(x*asech(x**(1/2)),x)","\int x \operatorname{asech}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(x*asech(sqrt(x)), x)","F",0
23,0,0,0,0.000000," ","integrate(asech(x**(1/2)),x)","\int \operatorname{asech}{\left(\sqrt{x} \right)}\, dx"," ",0,"Integral(asech(sqrt(x)), x)","F",0
24,0,0,0,0.000000," ","integrate(asech(x**(1/2))/x,x)","\int \frac{\operatorname{asech}{\left(\sqrt{x} \right)}}{x}\, dx"," ",0,"Integral(asech(sqrt(x))/x, x)","F",0
25,0,0,0,0.000000," ","integrate(asech(x**(1/2))/x**2,x)","\int \frac{\operatorname{asech}{\left(\sqrt{x} \right)}}{x^{2}}\, dx"," ",0,"Integral(asech(sqrt(x))/x**2, x)","F",0
26,0,0,0,0.000000," ","integrate(asech(x**(1/2))/x**3,x)","\int \frac{\operatorname{asech}{\left(\sqrt{x} \right)}}{x^{3}}\, dx"," ",0,"Integral(asech(sqrt(x))/x**3, x)","F",0
27,0,0,0,0.000000," ","integrate(asech(x**(1/2))/x**4,x)","\int \frac{\operatorname{asech}{\left(\sqrt{x} \right)}}{x^{4}}\, dx"," ",0,"Integral(asech(sqrt(x))/x**4, x)","F",0
28,0,0,0,0.000000," ","integrate(asech(1/x),x)","\int \operatorname{asech}{\left(\frac{1}{x} \right)}\, dx"," ",0,"Integral(asech(1/x), x)","F",0
29,0,0,0,0.000000," ","integrate(asech(a*x**n)/x,x)","\int \frac{\operatorname{asech}{\left(a x^{n} \right)}}{x}\, dx"," ",0,"Integral(asech(a*x**n)/x, x)","F",0
30,0,0,0,0.000000," ","integrate(asech(a*x**5)/x,x)","\int \frac{\operatorname{asech}{\left(a x^{5} \right)}}{x}\, dx"," ",0,"Integral(asech(a*x**5)/x, x)","F",0
31,0,0,0,0.000000," ","integrate(asech(c*exp(b*x+a)),x)","\int \operatorname{asech}{\left(c e^{a + b x} \right)}\, dx"," ",0,"Integral(asech(c*exp(a + b*x)), x)","F",0
32,-1,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))*x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,-1,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))*x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))*x**2,x)","\frac{\int x\, dx + \int a x^{2} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}\, dx}{a}"," ",0,"(Integral(x, x) + Integral(a*x**2*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)), x))/a","F",0
35,-1,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))*x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,0,0,0,0.000000," ","integrate(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2),x)","\frac{\int \frac{1}{x}\, dx + \int a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}\, dx}{a}"," ",0,"(Integral(1/x, x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)), x))/a","F",0
37,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x,x)","\frac{\int \frac{1}{x^{2}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x}\, dx}{a}"," ",0,"(Integral(x**(-2), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x, x))/a","F",0
38,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**2,x)","\frac{\int \frac{1}{x^{3}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{2}}\, dx}{a}"," ",0,"(Integral(x**(-3), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**2, x))/a","F",0
39,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**3,x)","\frac{\int \frac{1}{x^{4}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{3}}\, dx}{a}"," ",0,"(Integral(x**(-4), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**3, x))/a","F",0
40,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**4,x)","\frac{\int \frac{1}{x^{5}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{4}}\, dx}{a}"," ",0,"(Integral(x**(-5), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**4, x))/a","F",0
41,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**5,x)","\frac{\int \frac{1}{x^{6}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{5}}\, dx}{a}"," ",0,"(Integral(x**(-6), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**5, x))/a","F",0
42,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**6,x)","\frac{\int \frac{1}{x^{7}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{6}}\, dx}{a}"," ",0,"(Integral(x**(-7), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**6, x))/a","F",0
43,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**7,x)","\frac{\int \frac{1}{x^{8}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{7}}\, dx}{a}"," ",0,"(Integral(x**(-8), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**7, x))/a","F",0
44,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**8,x)","\frac{\int \frac{1}{x^{9}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{8}}\, dx}{a}"," ",0,"(Integral(x**(-9), x) + Integral(a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**8, x))/a","F",0
45,-1,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,0,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x**6,x)","\frac{\int x^{4}\, dx + \int a x^{6} \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}\, dx}{a}"," ",0,"(Integral(x**4, x) + Integral(a*x**6*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2)), x))/a","F",0
47,-1,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,0,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x**4,x)","\frac{\int x^{2}\, dx + \int a x^{4} \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}\, dx}{a}"," ",0,"(Integral(x**2, x) + Integral(a*x**4*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2)), x))/a","F",0
49,-1,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,0,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x**2,x)","\frac{\int 1\, dx + \int a x^{2} \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}\, dx}{a}"," ",0,"(Integral(1, x) + Integral(a*x**2*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2)), x))/a","F",0
51,-1,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,0,0,0,0.000000," ","integrate(1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2),x)","\frac{\int \frac{1}{x^{2}}\, dx + \int a \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}\, dx}{a}"," ",0,"(Integral(x**(-2), x) + Integral(a*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2)), x))/a","F",0
53,0,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))/x,x)","\frac{\int \frac{1}{x^{3}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}}{x}\, dx}{a}"," ",0,"(Integral(x**(-3), x) + Integral(a*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2))/x, x))/a","F",0
54,0,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))/x**2,x)","\frac{\int \frac{1}{x^{4}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}}{x^{2}}\, dx}{a}"," ",0,"(Integral(x**(-4), x) + Integral(a*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2))/x**2, x))/a","F",0
55,0,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))/x**3,x)","\frac{\int \frac{1}{x^{5}}\, dx + \int \frac{a \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}}{x^{3}}\, dx}{a}"," ",0,"(Integral(x**(-5), x) + Integral(a*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2))/x**3, x))/a","F",0
56,0,0,0,0.000000," ","integrate((1/a/x**3+(1/a/x**3-1)**(1/2)*(1/a/x**3+1)**(1/2))*x**m,x)","\frac{\int \frac{x^{m}}{x^{3}}\, dx + \int a x^{m} \sqrt{-1 + \frac{1}{a x^{3}}} \sqrt{1 + \frac{1}{a x^{3}}}\, dx}{a}"," ",0,"(Integral(x**m/x**3, x) + Integral(a*x**m*sqrt(-1 + 1/(a*x**3))*sqrt(1 + 1/(a*x**3)), x))/a","F",0
57,0,0,0,0.000000," ","integrate((1/a/x**2+(1/a/x**2-1)**(1/2)*(1/a/x**2+1)**(1/2))*x**m,x)","\frac{\int \frac{x^{m}}{x^{2}}\, dx + \int a x^{m} \sqrt{-1 + \frac{1}{a x^{2}}} \sqrt{1 + \frac{1}{a x^{2}}}\, dx}{a}"," ",0,"(Integral(x**m/x**2, x) + Integral(a*x**m*sqrt(-1 + 1/(a*x**2))*sqrt(1 + 1/(a*x**2)), x))/a","F",0
58,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))*x**m,x)","\frac{\int \frac{x^{m}}{x}\, dx + \int a x^{m} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}\, dx}{a}"," ",0,"(Integral(x**m/x, x) + Integral(a*x**m*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)), x))/a","F",0
59,0,0,0,0.000000," ","integrate((x/a+(-1+x/a)**(1/2)*(1+x/a)**(1/2))*x**m,x)","\frac{\int x x^{m}\, dx + \int a x^{m} \sqrt{-1 + \frac{x}{a}} \sqrt{1 + \frac{x}{a}}\, dx}{a}"," ",0,"(Integral(x*x**m, x) + Integral(a*x**m*sqrt(-1 + x/a)*sqrt(1 + x/a), x))/a","F",0
60,0,0,0,0.000000," ","integrate((1/a/(x**p)+(1/a/(x**p)-1)**(1/2)*(1/a/(x**p)+1)**(1/2))*x**m,x)","\frac{\int x^{m} x^{- p}\, dx + \int a x^{m} \sqrt{-1 + \frac{x^{- p}}{a}} \sqrt{1 + \frac{x^{- p}}{a}}\, dx}{a}"," ",0,"(Integral(x**m*x**(-p), x) + Integral(a*x**m*sqrt(-1 + x**(-p)/a)*sqrt(1 + x**(-p)/a), x))/a","F",0
61,0,0,0,0.000000," ","integrate((1/a/(x**p)+(1/a/(x**p)-1)**(1/2)*(1/a/(x**p)+1)**(1/2))*x,x)","\frac{\int x x^{- p}\, dx + \int a x \sqrt{-1 + \frac{x^{- p}}{a}} \sqrt{1 + \frac{x^{- p}}{a}}\, dx}{a}"," ",0,"(Integral(x*x**(-p), x) + Integral(a*x*sqrt(-1 + x**(-p)/a)*sqrt(1 + x**(-p)/a), x))/a","F",0
62,0,0,0,0.000000," ","integrate(1/a/(x**p)+(1/a/(x**p)-1)**(1/2)*(1/a/(x**p)+1)**(1/2),x)","\frac{\int x^{- p}\, dx + \int a \sqrt{-1 + \frac{x^{- p}}{a}} \sqrt{1 + \frac{x^{- p}}{a}}\, dx}{a}"," ",0,"(Integral(x**(-p), x) + Integral(a*sqrt(-1 + x**(-p)/a)*sqrt(1 + x**(-p)/a), x))/a","F",0
63,-1,0,0,0.000000," ","integrate((1/a/(x**p)+(1/a/(x**p)-1)**(1/2)*(1/a/(x**p)+1)**(1/2))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,0,0,0,0.000000," ","integrate((1/a/(x**p)+(1/a/(x**p)-1)**(1/2)*(1/a/(x**p)+1)**(1/2))/x**2,x)","\frac{\int \frac{x^{- p}}{x^{2}}\, dx + \int \frac{a \sqrt{-1 + \frac{x^{- p}}{a}} \sqrt{1 + \frac{x^{- p}}{a}}}{x^{2}}\, dx}{a}"," ",0,"(Integral(x**(-p)/x**2, x) + Integral(a*sqrt(-1 + x**(-p)/a)*sqrt(1 + x**(-p)/a)/x**2, x))/a","F",0
65,-1,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2*x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2*x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2*x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2*x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2,x)","\frac{\int \left(- a^{2}\right)\, dx + \int \frac{2}{x^{2}}\, dx + \int \frac{2 a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x}\, dx}{a^{2}}"," ",0,"(Integral(-a**2, x) + Integral(2/x**2, x) + Integral(2*a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x, x))/a**2","F",0
70,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2/x,x)","\frac{\int \frac{2}{x^{3}}\, dx + \int \left(- \frac{a^{2}}{x}\right)\, dx + \int \frac{2 a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{2}}\, dx}{a^{2}}"," ",0,"(Integral(2/x**3, x) + Integral(-a**2/x, x) + Integral(2*a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**2, x))/a**2","F",0
71,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2/x**2,x)","\frac{\int \frac{2}{x^{4}}\, dx + \int \left(- \frac{a^{2}}{x^{2}}\right)\, dx + \int \frac{2 a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{3}}\, dx}{a^{2}}"," ",0,"(Integral(2/x**4, x) + Integral(-a**2/x**2, x) + Integral(2*a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**3, x))/a**2","F",0
72,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2/x**3,x)","\frac{\int \frac{2}{x^{5}}\, dx + \int \left(- \frac{a^{2}}{x^{3}}\right)\, dx + \int \frac{2 a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{4}}\, dx}{a^{2}}"," ",0,"(Integral(2/x**5, x) + Integral(-a**2/x**3, x) + Integral(2*a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**4, x))/a**2","F",0
73,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2/x**4,x)","\frac{\int \frac{2}{x^{6}}\, dx + \int \left(- \frac{a^{2}}{x^{4}}\right)\, dx + \int \frac{2 a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{5}}\, dx}{a^{2}}"," ",0,"(Integral(2/x**6, x) + Integral(-a**2/x**4, x) + Integral(2*a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**5, x))/a**2","F",0
74,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2/x**5,x)","\frac{\int \frac{2}{x^{7}}\, dx + \int \left(- \frac{a^{2}}{x^{5}}\right)\, dx + \int \frac{2 a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{6}}\, dx}{a^{2}}"," ",0,"(Integral(2/x**7, x) + Integral(-a**2/x**5, x) + Integral(2*a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**6, x))/a**2","F",0
75,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))**2/x**6,x)","\frac{\int \frac{2}{x^{8}}\, dx + \int \left(- \frac{a^{2}}{x^{6}}\right)\, dx + \int \frac{2 a \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{x^{7}}\, dx}{a^{2}}"," ",0,"(Integral(2/x**8, x) + Integral(-a**2/x**6, x) + Integral(2*a*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/x**7, x))/a**2","F",0
76,0,0,0,0.000000," ","integrate(x**4/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2)),x)","a \int \frac{x^{5}}{a x \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + 1}\, dx"," ",0,"a*Integral(x**5/(a*x*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + 1), x)","F",0
77,0,0,0,0.000000," ","integrate(x**3/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2)),x)","a \int \frac{x^{4}}{a x \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + 1}\, dx"," ",0,"a*Integral(x**4/(a*x*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + 1), x)","F",0
78,0,0,0,0.000000," ","integrate(x**2/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2)),x)","a \int \frac{x^{3}}{a x \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + 1}\, dx"," ",0,"a*Integral(x**3/(a*x*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + 1), x)","F",0
79,0,0,0,0.000000," ","integrate(x/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2)),x)","a \int \frac{x^{2}}{a x \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + 1}\, dx"," ",0,"a*Integral(x**2/(a*x*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + 1), x)","F",0
80,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2)),x)","a \int \frac{x}{a x \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + 1}\, dx"," ",0,"a*Integral(x/(a*x*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + 1), x)","F",0
81,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x,x)","a \int \frac{1}{a x \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + 1}\, dx"," ",0,"a*Integral(1/(a*x*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + 1), x)","F",0
82,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**2,x)","a \int \frac{1}{a x^{2} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + x}\, dx"," ",0,"a*Integral(1/(a*x**2*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + x), x)","F",0
83,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**3,x)","a \int \frac{1}{a x^{3} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + x^{2}}\, dx"," ",0,"a*Integral(1/(a*x**3*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + x**2), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**4,x)","a \int \frac{1}{a x^{4} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + x^{3}}\, dx"," ",0,"a*Integral(1/(a*x**4*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + x**3), x)","F",0
85,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**5,x)","a \int \frac{1}{a x^{5} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + x^{4}}\, dx"," ",0,"a*Integral(1/(a*x**5*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + x**4), x)","F",0
86,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**6,x)","a \int \frac{1}{a x^{6} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + x^{5}}\, dx"," ",0,"a*Integral(1/(a*x**6*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + x**5), x)","F",0
87,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))/x**7,x)","a \int \frac{1}{a x^{7} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}} + x^{6}}\, dx"," ",0,"a*Integral(1/(a*x**7*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x)) + x**6), x)","F",0
88,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(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 x}} \sqrt{1 + \frac{1}{c x}}}{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*x))*sqrt(1 + 1/(c*x))/(c**2*x**3 - x), x))/c","F",0
89,-1,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(1/2))*x**4/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(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 x}} \sqrt{1 + \frac{1}{c x}}}{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*x))*sqrt(1 + 1/(c*x))/(c**2*x**2 - 1), x))/c","F",0
91,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(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 x}} \sqrt{1 + \frac{1}{c x}}}{c^{2} x^{2} - 1}\, dx}{c}"," ",0,"-(Integral(x/(c**2*x**2 - 1), x) + Integral(c*x**2*sqrt(-1 + 1/(c*x))*sqrt(1 + 1/(c*x))/(c**2*x**2 - 1), x))/c","F",0
92,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(1/2))*x/(-c**2*x**2+1),x)","- \frac{\int \frac{c x \sqrt{-1 + \frac{1}{c x}} \sqrt{1 + \frac{1}{c x}}}{c^{2} x^{2} - 1}\, dx + \int \frac{1}{c^{2} x^{2} - 1}\, dx}{c}"," ",0,"-(Integral(c*x*sqrt(-1 + 1/(c*x))*sqrt(1 + 1/(c*x))/(c**2*x**2 - 1), x) + Integral(1/(c**2*x**2 - 1), x))/c","F",0
93,1,48,0,16.428870," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(1/2))/(-c**2*x**2+1),x)","- \frac{\log{\left(-1 + \frac{1}{c x} \right)}}{2 c} - \frac{\log{\left(\sqrt{1 + \frac{1}{c x}} \right)}}{c} - \frac{2 \operatorname{acosh}{\left(\frac{\sqrt{2} \sqrt{1 + \frac{1}{c x}}}{2} \right)}}{c}"," ",0,"-log(-1 + 1/(c*x))/(2*c) - log(sqrt(1 + 1/(c*x)))/c - 2*acosh(sqrt(2)*sqrt(1 + 1/(c*x))/2)/c","A",0
94,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(1/2))/x/(-c**2*x**2+1),x)","- \frac{\int \frac{c x \sqrt{-1 + \frac{1}{c x}} \sqrt{1 + \frac{1}{c x}}}{c^{2} x^{4} - x^{2}}\, dx + \int \frac{1}{c^{2} x^{4} - x^{2}}\, dx}{c}"," ",0,"-(Integral(c*x*sqrt(-1 + 1/(c*x))*sqrt(1 + 1/(c*x))/(c**2*x**4 - x**2), x) + Integral(1/(c**2*x**4 - x**2), x))/c","F",0
95,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(1/2))/x**2/(-c**2*x**2+1),x)","- \frac{\int \frac{c x \sqrt{-1 + \frac{1}{c x}} \sqrt{1 + \frac{1}{c x}}}{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*x))*sqrt(1 + 1/(c*x))/(c**2*x**5 - x**3), x) + Integral(1/(c**2*x**5 - x**3), x))/c","F",0
96,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)**(1/2)*(1+1/c/x)**(1/2))/x**3/(-c**2*x**2+1),x)","- \frac{\int \frac{c x \sqrt{-1 + \frac{1}{c x}} \sqrt{1 + \frac{1}{c x}}}{c^{2} x^{6} - x^{4}}\, dx + \int \frac{1}{c^{2} x^{6} - x^{4}}\, dx}{c}"," ",0,"-(Integral(c*x*sqrt(-1 + 1/(c*x))*sqrt(1 + 1/(c*x))/(c**2*x**6 - x**4), x) + Integral(1/(c**2*x**6 - x**4), x))/c","F",0
97,0,0,0,0.000000," ","integrate(x*(-1+a*(1/a/x+(1/a/x-1)**(1/2)*(1+1/a/x)**(1/2))*x)/(-a**2*x**2+1),x)","- a \int \frac{x^{2} \sqrt{-1 + \frac{1}{a x}} \sqrt{1 + \frac{1}{a x}}}{a^{2} x^{2} - 1}\, dx"," ",0,"-a*Integral(x**2*sqrt(-1 + 1/(a*x))*sqrt(1 + 1/(a*x))/(a**2*x**2 - 1), x)","F",0
98,0,0,0,0.000000," ","integrate(asech(b*x+a)/(a*d/b+d*x),x)","\frac{b \int \frac{\operatorname{asech}{\left(a + b x \right)}}{a + b x}\, dx}{d}"," ",0,"b*Integral(asech(a + b*x)/(a + b*x), x)/d","F",0
99,0,0,0,0.000000," ","integrate(x**3*asech(b*x**4+a),x)","\int x^{3} \operatorname{asech}{\left(a + b x^{4} \right)}\, dx"," ",0,"Integral(x**3*asech(a + b*x**4), x)","F",0
100,-1,0,0,0.000000," ","integrate(x**(-1+n)*asech(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
