1,0,0,0,0.000000," ","integrate(acsc(a*x**5)/x,x)","\int \frac{\operatorname{acsc}{\left(a x^{5} \right)}}{x}\, dx"," ",0,"Integral(acsc(a*x**5)/x, x)","F",0
2,1,119,0,64.530609," ","integrate(x**3*acsc(x**(1/2)),x)","\frac{x^{4} \operatorname{acsc}{\left(\sqrt{x} \right)}}{4} + \frac{\begin{cases} \frac{2 x^{3} \sqrt{x - 1}}{7} + \frac{12 x^{2} \sqrt{x - 1}}{35} + \frac{16 x \sqrt{x - 1}}{35} + \frac{32 \sqrt{x - 1}}{35} & \text{for}\: \left|{x}\right| > 1 \\\frac{2 i x^{3} \sqrt{1 - x}}{7} + \frac{12 i x^{2} \sqrt{1 - x}}{35} + \frac{16 i x \sqrt{1 - x}}{35} + \frac{32 i \sqrt{1 - x}}{35} & \text{otherwise} \end{cases}}{8}"," ",0,"x**4*acsc(sqrt(x))/4 + Piecewise((2*x**3*sqrt(x - 1)/7 + 12*x**2*sqrt(x - 1)/35 + 16*x*sqrt(x - 1)/35 + 32*sqrt(x - 1)/35, Abs(x) > 1), (2*I*x**3*sqrt(1 - x)/7 + 12*I*x**2*sqrt(1 - x)/35 + 16*I*x*sqrt(1 - x)/35 + 32*I*sqrt(1 - x)/35, True))/8","C",0
3,1,90,0,23.353068," ","integrate(x**2*acsc(x**(1/2)),x)","\frac{x^{3} \operatorname{acsc}{\left(\sqrt{x} \right)}}{3} + \frac{\begin{cases} \frac{2 x^{2} \sqrt{x - 1}}{5} + \frac{8 x \sqrt{x - 1}}{15} + \frac{16 \sqrt{x - 1}}{15} & \text{for}\: \left|{x}\right| > 1 \\\frac{2 i x^{2} \sqrt{1 - x}}{5} + \frac{8 i x \sqrt{1 - x}}{15} + \frac{16 i \sqrt{1 - x}}{15} & \text{otherwise} \end{cases}}{6}"," ",0,"x**3*acsc(sqrt(x))/3 + Piecewise((2*x**2*sqrt(x - 1)/5 + 8*x*sqrt(x - 1)/15 + 16*sqrt(x - 1)/15, Abs(x) > 1), (2*I*x**2*sqrt(1 - x)/5 + 8*I*x*sqrt(1 - x)/15 + 16*I*sqrt(1 - x)/15, True))/6","C",0
4,1,58,0,8.121286," ","integrate(x*acsc(x**(1/2)),x)","\frac{x^{2} \operatorname{acsc}{\left(\sqrt{x} \right)}}{2} + \frac{\begin{cases} \frac{x \sqrt{x - 1}}{3} + \frac{2 \sqrt{x - 1}}{3} & \text{for}\: \left|{x}\right| > 1 \\\frac{i x \sqrt{1 - x}}{3} + \frac{2 i \sqrt{1 - x}}{3} & \text{otherwise} \end{cases}}{2}"," ",0,"x**2*acsc(sqrt(x))/2 + Piecewise((x*sqrt(x - 1)/3 + 2*sqrt(x - 1)/3, Abs(x) > 1), (I*x*sqrt(1 - x)/3 + 2*I*sqrt(1 - x)/3, True))/2","C",0
5,1,29,0,3.707726," ","integrate(acsc(x**(1/2)),x)","x \operatorname{acsc}{\left(\sqrt{x} \right)} + \frac{\begin{cases} 2 \sqrt{x - 1} & \text{for}\: \left|{x}\right| > 1 \\2 i \sqrt{1 - x} & \text{otherwise} \end{cases}}{2}"," ",0,"x*acsc(sqrt(x)) + Piecewise((2*sqrt(x - 1), Abs(x) > 1), (2*I*sqrt(1 - x), True))/2","C",0
6,0,0,0,0.000000," ","integrate(acsc(x**(1/2))/x,x)","\int \frac{\operatorname{acsc}{\left(\sqrt{x} \right)}}{x}\, dx"," ",0,"Integral(acsc(sqrt(x))/x, x)","F",0
7,1,78,0,17.551753," ","integrate(acsc(x**(1/2))/x**2,x)","- \frac{\begin{cases} i \operatorname{acosh}{\left(\frac{1}{\sqrt{x}} \right)} + \frac{i \sqrt{-1 + \frac{1}{x}}}{\sqrt{x}} & \text{for}\: \frac{1}{\left|{x}\right|} > 1 \\- \operatorname{asin}{\left(\frac{1}{\sqrt{x}} \right)} + \frac{1}{\sqrt{x} \sqrt{1 - \frac{1}{x}}} - \frac{1}{x^{\frac{3}{2}} \sqrt{1 - \frac{1}{x}}} & \text{otherwise} \end{cases}}{2} - \frac{\operatorname{acsc}{\left(\sqrt{x} \right)}}{x}"," ",0,"-Piecewise((I*acosh(1/sqrt(x)) + I*sqrt(-1 + 1/x)/sqrt(x), 1/Abs(x) > 1), (-asin(1/sqrt(x)) + 1/(sqrt(x)*sqrt(1 - 1/x)) - 1/(x**(3/2)*sqrt(1 - 1/x)), True))/2 - acsc(sqrt(x))/x","C",0
8,1,146,0,48.390965," ","integrate(acsc(x**(1/2))/x**3,x)","- \frac{\begin{cases} \frac{3 i \operatorname{acosh}{\left(\frac{1}{\sqrt{x}} \right)}}{4} - \frac{3 i}{4 \sqrt{x} \sqrt{-1 + \frac{1}{x}}} + \frac{i}{4 x^{\frac{3}{2}} \sqrt{-1 + \frac{1}{x}}} + \frac{i}{2 x^{\frac{5}{2}} \sqrt{-1 + \frac{1}{x}}} & \text{for}\: \frac{1}{\left|{x}\right|} > 1 \\- \frac{3 \operatorname{asin}{\left(\frac{1}{\sqrt{x}} \right)}}{4} + \frac{3}{4 \sqrt{x} \sqrt{1 - \frac{1}{x}}} - \frac{1}{4 x^{\frac{3}{2}} \sqrt{1 - \frac{1}{x}}} - \frac{1}{2 x^{\frac{5}{2}} \sqrt{1 - \frac{1}{x}}} & \text{otherwise} \end{cases}}{4} - \frac{\operatorname{acsc}{\left(\sqrt{x} \right)}}{2 x^{2}}"," ",0,"-Piecewise((3*I*acosh(1/sqrt(x))/4 - 3*I/(4*sqrt(x)*sqrt(-1 + 1/x)) + I/(4*x**(3/2)*sqrt(-1 + 1/x)) + I/(2*x**(5/2)*sqrt(-1 + 1/x)), 1/Abs(x) > 1), (-3*asin(1/sqrt(x))/4 + 3/(4*sqrt(x)*sqrt(1 - 1/x)) - 1/(4*x**(3/2)*sqrt(1 - 1/x)) - 1/(2*x**(5/2)*sqrt(1 - 1/x)), True))/4 - acsc(sqrt(x))/(2*x**2)","C",0
9,1,51,0,0.445850," ","integrate(x**2*acsc(a/x),x)","\begin{cases} \frac{2 a^{3} \sqrt{1 - \frac{x^{2}}{a^{2}}}}{9} + \frac{a x^{2} \sqrt{1 - \frac{x^{2}}{a^{2}}}}{9} + \frac{x^{3} \operatorname{acsc}{\left(\frac{a}{x} \right)}}{3} & \text{for}\: a \neq 0 \\\tilde{\infty} x^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*a**3*sqrt(1 - x**2/a**2)/9 + a*x**2*sqrt(1 - x**2/a**2)/9 + x**3*acsc(a/x)/3, Ne(a, 0)), (zoo*x**3, True))","A",0
10,1,41,0,0.205485," ","integrate(x*acsc(a/x),x)","\begin{cases} - \frac{a^{2} \operatorname{acsc}{\left(\frac{a}{x} \right)}}{4} + \frac{a x \sqrt{1 - \frac{x^{2}}{a^{2}}}}{4} + \frac{x^{2} \operatorname{acsc}{\left(\frac{a}{x} \right)}}{2} & \text{for}\: a \neq 0 \\\tilde{\infty} x^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*acsc(a/x)/4 + a*x*sqrt(1 - x**2/a**2)/4 + x**2*acsc(a/x)/2, Ne(a, 0)), (zoo*x**2, True))","A",0
11,1,22,0,0.137455," ","integrate(acsc(a/x),x)","\begin{cases} a \sqrt{1 - \frac{x^{2}}{a^{2}}} + x \operatorname{acsc}{\left(\frac{a}{x} \right)} & \text{for}\: a \neq 0 \\\tilde{\infty} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*sqrt(1 - x**2/a**2) + x*acsc(a/x), Ne(a, 0)), (zoo*x, True))","A",0
12,0,0,0,0.000000," ","integrate(acsc(a/x)/x,x)","\int \frac{\operatorname{acsc}{\left(\frac{a}{x} \right)}}{x}\, dx"," ",0,"Integral(acsc(a/x)/x, x)","F",0
13,1,27,0,2.030664," ","integrate(acsc(a/x)/x**2,x)","- \frac{\operatorname{acsc}{\left(\frac{a}{x} \right)}}{x} + \frac{\begin{cases} - \operatorname{acosh}{\left(\frac{a}{x} \right)} & \text{for}\: \left|{\frac{a^{2}}{x^{2}}}\right| > 1 \\i \operatorname{asin}{\left(\frac{a}{x} \right)} & \text{otherwise} \end{cases}}{a}"," ",0,"-acsc(a/x)/x + Piecewise((-acosh(a/x), Abs(a**2/x**2) > 1), (I*asin(a/x), True))/a","C",0
14,1,51,0,1.164252," ","integrate(acsc(a/x)/x**3,x)","- \frac{\operatorname{acsc}{\left(\frac{a}{x} \right)}}{2 x^{2}} + \frac{\begin{cases} - \frac{\sqrt{\frac{a^{2}}{x^{2}} - 1}}{a} & \text{for}\: \left|{\frac{a^{2}}{x^{2}}}\right| > 1 \\- \frac{i \sqrt{- \frac{a^{2}}{x^{2}} + 1}}{a} & \text{otherwise} \end{cases}}{2 a}"," ",0,"-acsc(a/x)/(2*x**2) + Piecewise((-sqrt(a**2/x**2 - 1)/a, Abs(a**2/x**2) > 1), (-I*sqrt(-a**2/x**2 + 1)/a, True))/(2*a)","C",0
15,1,99,0,2.335054," ","integrate(acsc(a/x)/x**4,x)","- \frac{\operatorname{acsc}{\left(\frac{a}{x} \right)}}{3 x^{3}} + \frac{\begin{cases} - \frac{\sqrt{\frac{a^{2}}{x^{2}} - 1}}{2 a x} - \frac{\operatorname{acosh}{\left(\frac{a}{x} \right)}}{2 a^{2}} & \text{for}\: \left|{\frac{a^{2}}{x^{2}}}\right| > 1 \\\frac{i a}{2 x^{3} \sqrt{- \frac{a^{2}}{x^{2}} + 1}} - \frac{i}{2 a x \sqrt{- \frac{a^{2}}{x^{2}} + 1}} + \frac{i \operatorname{asin}{\left(\frac{a}{x} \right)}}{2 a^{2}} & \text{otherwise} \end{cases}}{3 a}"," ",0,"-acsc(a/x)/(3*x**3) + Piecewise((-sqrt(a**2/x**2 - 1)/(2*a*x) - acosh(a/x)/(2*a**2), Abs(a**2/x**2) > 1), (I*a/(2*x**3*sqrt(-a**2/x**2 + 1)) - I/(2*a*x*sqrt(-a**2/x**2 + 1)) + I*asin(a/x)/(2*a**2), True))/(3*a)","A",0
16,0,0,0,0.000000," ","integrate(acsc(a*x**n)/x,x)","\int \frac{\operatorname{acsc}{\left(a x^{n} \right)}}{x}\, dx"," ",0,"Integral(acsc(a*x**n)/x, x)","F",0
17,0,0,0,0.000000," ","integrate(x**4*acsc(b*x+a),x)","\int x^{4} \operatorname{acsc}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**4*acsc(a + b*x), x)","F",0
18,0,0,0,0.000000," ","integrate(x**3*acsc(b*x+a),x)","\int x^{3} \operatorname{acsc}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*acsc(a + b*x), x)","F",0
19,0,0,0,0.000000," ","integrate(x**2*acsc(b*x+a),x)","\int x^{2} \operatorname{acsc}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*acsc(a + b*x), x)","F",0
20,0,0,0,0.000000," ","integrate(x*acsc(b*x+a),x)","\int x \operatorname{acsc}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*acsc(a + b*x), x)","F",0
21,0,0,0,0.000000," ","integrate(acsc(b*x+a),x)","\int \operatorname{acsc}{\left(a + b x \right)}\, dx"," ",0,"Integral(acsc(a + b*x), x)","F",0
22,0,0,0,0.000000," ","integrate(acsc(b*x+a)/x,x)","\int \frac{\operatorname{acsc}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(acsc(a + b*x)/x, x)","F",0
23,0,0,0,0.000000," ","integrate(acsc(b*x+a)/x**2,x)","\int \frac{\operatorname{acsc}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(acsc(a + b*x)/x**2, x)","F",0
24,0,0,0,0.000000," ","integrate(acsc(b*x+a)/x**3,x)","\int \frac{\operatorname{acsc}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(acsc(a + b*x)/x**3, x)","F",0
25,0,0,0,0.000000," ","integrate(acsc(b*x+a)/x**4,x)","\int \frac{\operatorname{acsc}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(acsc(a + b*x)/x**4, x)","F",0
26,0,0,0,0.000000," ","integrate(acsc(b*x+a)/x**5,x)","\int \frac{\operatorname{acsc}{\left(a + b x \right)}}{x^{5}}\, dx"," ",0,"Integral(acsc(a + b*x)/x**5, x)","F",0
27,0,0,0,0.000000," ","integrate(x**3*acsc(b*x+a)**2,x)","\int x^{3} \operatorname{acsc}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*acsc(a + b*x)**2, x)","F",0
28,0,0,0,0.000000," ","integrate(x**2*acsc(b*x+a)**2,x)","\int x^{2} \operatorname{acsc}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*acsc(a + b*x)**2, x)","F",0
29,0,0,0,0.000000," ","integrate(x*acsc(b*x+a)**2,x)","\int x \operatorname{acsc}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*acsc(a + b*x)**2, x)","F",0
30,0,0,0,0.000000," ","integrate(acsc(b*x+a)**2,x)","\int \operatorname{acsc}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(acsc(a + b*x)**2, x)","F",0
31,0,0,0,0.000000," ","integrate(acsc(b*x+a)**2/x,x)","\int \frac{\operatorname{acsc}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(acsc(a + b*x)**2/x, x)","F",0
32,0,0,0,0.000000," ","integrate(acsc(b*x+a)**2/x**2,x)","\int \frac{\operatorname{acsc}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(acsc(a + b*x)**2/x**2, x)","F",0
33,0,0,0,0.000000," ","integrate(x**2*acsc(b*x+a)**3,x)","\int x^{2} \operatorname{acsc}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*acsc(a + b*x)**3, x)","F",0
34,0,0,0,0.000000," ","integrate(x*acsc(b*x+a)**3,x)","\int x \operatorname{acsc}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*acsc(a + b*x)**3, x)","F",0
35,0,0,0,0.000000," ","integrate(acsc(b*x+a)**3,x)","\int \operatorname{acsc}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(acsc(a + b*x)**3, x)","F",0
36,0,0,0,0.000000," ","integrate(acsc(b*x+a)**3/x,x)","\int \frac{\operatorname{acsc}^{3}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(acsc(a + b*x)**3/x, x)","F",0
37,0,0,0,0.000000," ","integrate(acsc(b*x+a)**3/x**2,x)","\int \frac{\operatorname{acsc}^{3}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(acsc(a + b*x)**3/x**2, x)","F",0
38,-1,0,0,0.000000," ","integrate(x**3*acsc(b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate(x**(-1+n)*acsc(a+b*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,0,0,0,0.000000," ","integrate(acsc(c*exp(b*x+a)),x)","\int \operatorname{acsc}{\left(c e^{a + b x} \right)}\, dx"," ",0,"Integral(acsc(c*exp(a + b*x)), x)","F",0
41,0,0,0,0.000000," ","integrate(exp(acsc(a*x))*x**2,x)","\int x^{2} e^{\operatorname{acsc}{\left(a x \right)}}\, dx"," ",0,"Integral(x**2*exp(acsc(a*x)), x)","F",0
42,0,0,0,0.000000," ","integrate(exp(acsc(a*x))*x,x)","\int x e^{\operatorname{acsc}{\left(a x \right)}}\, dx"," ",0,"Integral(x*exp(acsc(a*x)), x)","F",0
43,0,0,0,0.000000," ","integrate(exp(acsc(a*x)),x)","\int e^{\operatorname{acsc}{\left(a x \right)}}\, dx"," ",0,"Integral(exp(acsc(a*x)), x)","F",0
44,0,0,0,0.000000," ","integrate(exp(acsc(a*x))/x,x)","\int \frac{e^{\operatorname{acsc}{\left(a x \right)}}}{x}\, dx"," ",0,"Integral(exp(acsc(a*x))/x, x)","F",0
45,0,0,0,0.000000," ","integrate(exp(acsc(a*x))/x**2,x)","\int \frac{e^{\operatorname{acsc}{\left(a x \right)}}}{x^{2}}\, dx"," ",0,"Integral(exp(acsc(a*x))/x**2, x)","F",0
46,0,0,0,0.000000," ","integrate(exp(acsc(a*x))/x**3,x)","\int \frac{e^{\operatorname{acsc}{\left(a x \right)}}}{x^{3}}\, dx"," ",0,"Integral(exp(acsc(a*x))/x**3, x)","F",0
47,0,0,0,0.000000," ","integrate(exp(acsc(a*x))/x**4,x)","\int \frac{e^{\operatorname{acsc}{\left(a x \right)}}}{x^{4}}\, dx"," ",0,"Integral(exp(acsc(a*x))/x**4, x)","F",0
48,0,0,0,0.000000," ","integrate(exp(acsc(a*x))/x**5,x)","\int \frac{e^{\operatorname{acsc}{\left(a x \right)}}}{x^{5}}\, dx"," ",0,"Integral(exp(acsc(a*x))/x**5, x)","F",0
49,0,0,0,0.000000," ","integrate(acsc(b*x+a)/(a*d/b+d*x),x)","\frac{b \int \frac{\operatorname{acsc}{\left(a + b x \right)}}{a + b x}\, dx}{d}"," ",0,"b*Integral(acsc(a + b*x)/(a + b*x), x)/d","F",0
