1,1,37,0,1.930112," ","integrate(csc(b*x+a),x)","\begin{cases} - \frac{\log{\left(\cot{\left(a + b x \right)} + \csc{\left(a + b x \right)} \right)}}{b} & \text{for}\: b \neq 0 \\\frac{x \left(\cot{\left(a \right)} \csc{\left(a \right)} + \csc^{2}{\left(a \right)}\right)}{\cot{\left(a \right)} + \csc{\left(a \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-log(cot(a + b*x) + csc(a + b*x))/b, Ne(b, 0)), (x*(cot(a)*csc(a) + csc(a)**2)/(cot(a) + csc(a)), True))","A",0
2,0,0,0,0.000000," ","integrate(csc(b*x+a)**2,x)","\int \csc^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**2, x)","F",0
3,0,0,0,0.000000," ","integrate(csc(b*x+a)**3,x)","\int \csc^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**3, x)","F",0
4,0,0,0,0.000000," ","integrate(csc(b*x+a)**4,x)","\int \csc^{4}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**4, x)","F",0
5,0,0,0,0.000000," ","integrate(csc(b*x+a)**5,x)","\int \csc^{5}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**5, x)","F",0
6,0,0,0,0.000000," ","integrate(csc(b*x+a)**6,x)","\int \csc^{6}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**6, x)","F",0
7,0,0,0,0.000000," ","integrate(csc(b*x+a)**7,x)","\int \csc^{7}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**7, x)","F",0
8,0,0,0,0.000000," ","integrate(csc(b*x+a)**8,x)","\int \csc^{8}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**8, x)","F",0
9,-1,0,0,0.000000," ","integrate(csc(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
10,0,0,0,0.000000," ","integrate(csc(b*x+a)**(5/2),x)","\int \csc^{\frac{5}{2}}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**(5/2), x)","F",0
11,0,0,0,0.000000," ","integrate(csc(b*x+a)**(3/2),x)","\int \csc^{\frac{3}{2}}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**(3/2), x)","F",0
12,0,0,0,0.000000," ","integrate(csc(b*x+a)**(1/2),x)","\int \sqrt{\csc{\left(a + b x \right)}}\, dx"," ",0,"Integral(sqrt(csc(a + b*x)), x)","F",0
13,0,0,0,0.000000," ","integrate(1/csc(b*x+a)**(1/2),x)","\int \frac{1}{\sqrt{\csc{\left(a + b x \right)}}}\, dx"," ",0,"Integral(1/sqrt(csc(a + b*x)), x)","F",0
14,0,0,0,0.000000," ","integrate(1/csc(b*x+a)**(3/2),x)","\int \frac{1}{\csc^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(csc(a + b*x)**(-3/2), x)","F",0
15,0,0,0,0.000000," ","integrate(1/csc(b*x+a)**(5/2),x)","\int \frac{1}{\csc^{\frac{5}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(csc(a + b*x)**(-5/2), x)","F",0
16,0,0,0,0.000000," ","integrate(1/csc(b*x+a)**(7/2),x)","\int \frac{1}{\csc^{\frac{7}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(csc(a + b*x)**(-7/2), x)","F",0
17,-1,0,0,0.000000," ","integrate((c*csc(b*x+a))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,0,0,0,0.000000," ","integrate((c*csc(b*x+a))**(5/2),x)","\int \left(c \csc{\left(a + b x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(5/2), x)","F",0
19,0,0,0,0.000000," ","integrate((c*csc(b*x+a))**(3/2),x)","\int \left(c \csc{\left(a + b x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(3/2), x)","F",0
20,0,0,0,0.000000," ","integrate((c*csc(b*x+a))**(1/2),x)","\int \sqrt{c \csc{\left(a + b x \right)}}\, dx"," ",0,"Integral(sqrt(c*csc(a + b*x)), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(c*csc(b*x+a))**(1/2),x)","\int \frac{1}{\sqrt{c \csc{\left(a + b x \right)}}}\, dx"," ",0,"Integral(1/sqrt(c*csc(a + b*x)), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(c*csc(b*x+a))**(3/2),x)","\int \frac{1}{\left(c \csc{\left(a + b x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(-3/2), x)","F",0
23,0,0,0,0.000000," ","integrate(1/(c*csc(b*x+a))**(5/2),x)","\int \frac{1}{\left(c \csc{\left(a + b x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(-5/2), x)","F",0
24,0,0,0,0.000000," ","integrate(1/(c*csc(b*x+a))**(7/2),x)","\int \frac{1}{\left(c \csc{\left(a + b x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(-7/2), x)","F",0
25,0,0,0,0.000000," ","integrate(csc(b*x+a)**(4/3),x)","\int \csc^{\frac{4}{3}}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**(4/3), x)","F",0
26,0,0,0,0.000000," ","integrate(csc(b*x+a)**(2/3),x)","\int \csc^{\frac{2}{3}}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**(2/3), x)","F",0
27,0,0,0,0.000000," ","integrate(csc(b*x+a)**(1/3),x)","\int \sqrt[3]{\csc{\left(a + b x \right)}}\, dx"," ",0,"Integral(csc(a + b*x)**(1/3), x)","F",0
28,0,0,0,0.000000," ","integrate(1/csc(b*x+a)**(1/3),x)","\int \frac{1}{\sqrt[3]{\csc{\left(a + b x \right)}}}\, dx"," ",0,"Integral(csc(a + b*x)**(-1/3), x)","F",0
29,0,0,0,0.000000," ","integrate(1/csc(b*x+a)**(2/3),x)","\int \frac{1}{\csc^{\frac{2}{3}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(csc(a + b*x)**(-2/3), x)","F",0
30,0,0,0,0.000000," ","integrate(1/csc(b*x+a)**(4/3),x)","\int \frac{1}{\csc^{\frac{4}{3}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(csc(a + b*x)**(-4/3), x)","F",0
31,0,0,0,0.000000," ","integrate((c*csc(b*x+a))**(4/3),x)","\int \left(c \csc{\left(a + b x \right)}\right)^{\frac{4}{3}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(4/3), x)","F",0
32,0,0,0,0.000000," ","integrate((c*csc(b*x+a))**(2/3),x)","\int \left(c \csc{\left(a + b x \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(2/3), x)","F",0
33,0,0,0,0.000000," ","integrate((c*csc(b*x+a))**(1/3),x)","\int \sqrt[3]{c \csc{\left(a + b x \right)}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(1/3), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(c*csc(b*x+a))**(1/3),x)","\int \frac{1}{\sqrt[3]{c \csc{\left(a + b x \right)}}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(-1/3), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(c*csc(b*x+a))**(2/3),x)","\int \frac{1}{\left(c \csc{\left(a + b x \right)}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(-2/3), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(c*csc(b*x+a))**(4/3),x)","\int \frac{1}{\left(c \csc{\left(a + b x \right)}\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((c*csc(a + b*x))**(-4/3), x)","F",0
37,0,0,0,0.000000," ","integrate(csc(b*x+a)**n,x)","\int \csc^{n}{\left(a + b x \right)}\, dx"," ",0,"Integral(csc(a + b*x)**n, x)","F",0
38,0,0,0,0.000000," ","integrate((c*csc(b*x+a))**n,x)","\int \left(c \csc{\left(a + b x \right)}\right)^{n}\, dx"," ",0,"Integral((c*csc(a + b*x))**n, x)","F",0
39,-1,0,0,0.000000," ","integrate((csc(x)**2)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,0,0,0,0.000000," ","integrate((csc(x)**2)**(5/2),x)","\int \left(\csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((csc(x)**2)**(5/2), x)","F",0
41,0,0,0,0.000000," ","integrate((csc(x)**2)**(3/2),x)","\int \left(\csc^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((csc(x)**2)**(3/2), x)","F",0
42,0,0,0,0.000000," ","integrate((csc(x)**2)**(1/2),x)","\int \sqrt{\csc^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(csc(x)**2), x)","F",0
43,1,12,0,0.351694," ","integrate(1/(csc(x)**2)**(1/2),x)","- \frac{\cot{\left(x \right)}}{\sqrt{\csc^{2}{\left(x \right)}}}"," ",0,"-cot(x)/sqrt(csc(x)**2)","A",0
44,1,29,0,0.936548," ","integrate(1/(csc(x)**2)**(3/2),x)","- \frac{2 \cot^{3}{\left(x \right)}}{3 \left(\csc^{2}{\left(x \right)}\right)^{\frac{3}{2}}} - \frac{\cot{\left(x \right)}}{\left(\csc^{2}{\left(x \right)}\right)^{\frac{3}{2}}}"," ",0,"-2*cot(x)**3/(3*(csc(x)**2)**(3/2)) - cot(x)/(csc(x)**2)**(3/2)","A",0
45,1,46,0,9.322116," ","integrate(1/(csc(x)**2)**(5/2),x)","- \frac{8 \cot^{5}{\left(x \right)}}{15 \left(\csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}} - \frac{4 \cot^{3}{\left(x \right)}}{3 \left(\csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}} - \frac{\cot{\left(x \right)}}{\left(\csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}}"," ",0,"-8*cot(x)**5/(15*(csc(x)**2)**(5/2)) - 4*cot(x)**3/(3*(csc(x)**2)**(5/2)) - cot(x)/(csc(x)**2)**(5/2)","A",0
46,1,61,0,138.800415," ","integrate(1/(csc(x)**2)**(7/2),x)","- \frac{16 \cot^{7}{\left(x \right)}}{35 \left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}} - \frac{8 \cot^{5}{\left(x \right)}}{5 \left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}} - \frac{2 \cot^{3}{\left(x \right)}}{\left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}} - \frac{\cot{\left(x \right)}}{\left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}}"," ",0,"-16*cot(x)**7/(35*(csc(x)**2)**(7/2)) - 8*cot(x)**5/(5*(csc(x)**2)**(7/2)) - 2*cot(x)**3/(csc(x)**2)**(7/2) - cot(x)/(csc(x)**2)**(7/2)","A",0
47,-1,0,0,0.000000," ","integrate((a*csc(x)**2)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,0,0,0,0.000000," ","integrate((a*csc(x)**2)**(5/2),x)","\int \left(a \csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a*csc(x)**2)**(5/2), x)","F",0
49,0,0,0,0.000000," ","integrate((a*csc(x)**2)**(3/2),x)","\int \left(a \csc^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*csc(x)**2)**(3/2), x)","F",0
50,0,0,0,0.000000," ","integrate((a*csc(x)**2)**(1/2),x)","\int \sqrt{a \csc^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*csc(x)**2), x)","F",0
51,1,17,0,0.449866," ","integrate(1/(a*csc(x)**2)**(1/2),x)","- \frac{\cot{\left(x \right)}}{\sqrt{a} \sqrt{\csc^{2}{\left(x \right)}}}"," ",0,"-cot(x)/(sqrt(a)*sqrt(csc(x)**2))","A",0
52,1,39,0,1.038724," ","integrate(1/(a*csc(x)**2)**(3/2),x)","- \frac{2 \cot^{3}{\left(x \right)}}{3 a^{\frac{3}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{3}{2}}} - \frac{\cot{\left(x \right)}}{a^{\frac{3}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{3}{2}}}"," ",0,"-2*cot(x)**3/(3*a**(3/2)*(csc(x)**2)**(3/2)) - cot(x)/(a**(3/2)*(csc(x)**2)**(3/2))","A",0
53,1,61,0,9.414597," ","integrate(1/(a*csc(x)**2)**(5/2),x)","- \frac{8 \cot^{5}{\left(x \right)}}{15 a^{\frac{5}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}} - \frac{4 \cot^{3}{\left(x \right)}}{3 a^{\frac{5}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}} - \frac{\cot{\left(x \right)}}{a^{\frac{5}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{5}{2}}}"," ",0,"-8*cot(x)**5/(15*a**(5/2)*(csc(x)**2)**(5/2)) - 4*cot(x)**3/(3*a**(5/2)*(csc(x)**2)**(5/2)) - cot(x)/(a**(5/2)*(csc(x)**2)**(5/2))","A",0
54,1,82,0,136.156325," ","integrate(1/(a*csc(x)**2)**(7/2),x)","- \frac{16 \cot^{7}{\left(x \right)}}{35 a^{\frac{7}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}} - \frac{8 \cot^{5}{\left(x \right)}}{5 a^{\frac{7}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}} - \frac{2 \cot^{3}{\left(x \right)}}{a^{\frac{7}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}} - \frac{\cot{\left(x \right)}}{a^{\frac{7}{2}} \left(\csc^{2}{\left(x \right)}\right)^{\frac{7}{2}}}"," ",0,"-16*cot(x)**7/(35*a**(7/2)*(csc(x)**2)**(7/2)) - 8*cot(x)**5/(5*a**(7/2)*(csc(x)**2)**(7/2)) - 2*cot(x)**3/(a**(7/2)*(csc(x)**2)**(7/2)) - cot(x)/(a**(7/2)*(csc(x)**2)**(7/2))","A",0
55,0,0,0,0.000000," ","integrate((a*csc(x)**3)**(5/2),x)","\int \left(a \csc^{3}{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a*csc(x)**3)**(5/2), x)","F",0
56,0,0,0,0.000000," ","integrate((a*csc(x)**3)**(3/2),x)","\int \left(a \csc^{3}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*csc(x)**3)**(3/2), x)","F",0
57,0,0,0,0.000000," ","integrate((a*csc(x)**3)**(1/2),x)","\int \sqrt{a \csc^{3}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*csc(x)**3), x)","F",0
58,0,0,0,0.000000," ","integrate(1/(a*csc(x)**3)**(1/2),x)","\int \frac{1}{\sqrt{a \csc^{3}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*csc(x)**3), x)","F",0
59,0,0,0,0.000000," ","integrate(1/(a*csc(x)**3)**(3/2),x)","\int \frac{1}{\left(a \csc^{3}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*csc(x)**3)**(-3/2), x)","F",0
60,0,0,0,0.000000," ","integrate(1/(a*csc(x)**3)**(5/2),x)","\int \frac{1}{\left(a \csc^{3}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*csc(x)**3)**(-5/2), x)","F",0
61,-1,0,0,0.000000," ","integrate((a*csc(x)**4)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,0,0,0,0.000000," ","integrate((a*csc(x)**4)**(5/2),x)","\int \left(a \csc^{4}{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a*csc(x)**4)**(5/2), x)","F",0
63,0,0,0,0.000000," ","integrate((a*csc(x)**4)**(3/2),x)","\int \left(a \csc^{4}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*csc(x)**4)**(3/2), x)","F",0
64,0,0,0,0.000000," ","integrate((a*csc(x)**4)**(1/2),x)","\int \sqrt{a \csc^{4}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*csc(x)**4), x)","F",0
65,0,0,0,0.000000," ","integrate(1/(a*csc(x)**4)**(1/2),x)","\int \frac{1}{\sqrt{a \csc^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*csc(x)**4), x)","F",0
66,0,0,0,0.000000," ","integrate(1/(a*csc(x)**4)**(3/2),x)","\int \frac{1}{\left(a \csc^{4}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*csc(x)**4)**(-3/2), x)","F",0
67,0,0,0,0.000000," ","integrate(1/(a*csc(x)**4)**(5/2),x)","\int \frac{1}{\left(a \csc^{4}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*csc(x)**4)**(-5/2), x)","F",0
68,0,0,0,0.000000," ","integrate(((b*csc(d*x+c))**p)**n,x)","\int \left(\left(b \csc{\left(c + d x \right)}\right)^{p}\right)^{n}\, dx"," ",0,"Integral(((b*csc(c + d*x))**p)**n, x)","F",0
69,0,0,0,0.000000," ","integrate((a*(b*csc(d*x+c))**p)**n,x)","\int \left(a \left(b \csc{\left(c + d x \right)}\right)^{p}\right)^{n}\, dx"," ",0,"Integral((a*(b*csc(c + d*x))**p)**n, x)","F",0
70,0,0,0,0.000000," ","integrate((a*csc(f*x+e))**m*(b*csc(f*x+e))**n,x)","\int \left(a \csc{\left(e + f x \right)}\right)^{m} \left(b \csc{\left(e + f x \right)}\right)^{n}\, dx"," ",0,"Integral((a*csc(e + f*x))**m*(b*csc(e + f*x))**n, x)","F",0
