1,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))*tan(d*x+c)**5,x)","a \left(\int \sin{\left(c + d x \right)} \tan^{5}{\left(c + d x \right)}\, dx + \int \tan^{5}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*tan(c + d*x)**5, x) + Integral(tan(c + d*x)**5, x))","F",0
2,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))*tan(d*x+c)**3,x)","a \left(\int \sin{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int \tan^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*tan(c + d*x)**3, x) + Integral(tan(c + d*x)**3, x))","F",0
3,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))*tan(d*x+c),x)","a \left(\int \sin{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int \tan{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*tan(c + d*x), x) + Integral(tan(c + d*x), x))","F",0
4,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+a*sin(d*x+c)),x)","a \left(\int \sin{\left(c + d x \right)} \cot{\left(c + d x \right)}\, dx + \int \cot{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*cot(c + d*x), x) + Integral(cot(c + d*x), x))","F",0
5,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sin(d*x+c)),x)","a \left(\int \sin{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*cot(c + d*x)**3, x) + Integral(cot(c + d*x)**3, x))","F",0
6,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+a*sin(d*x+c)),x)","a \left(\int \sin{\left(c + d x \right)} \cot^{5}{\left(c + d x \right)}\, dx + \int \cot^{5}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*cot(c + d*x)**5, x) + Integral(cot(c + d*x)**5, x))","F",0
7,0,0,0,0.000000," ","integrate(cot(d*x+c)**7*(a+a*sin(d*x+c)),x)","a \left(\int \sin{\left(c + d x \right)} \cot^{7}{\left(c + d x \right)}\, dx + \int \cot^{7}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*cot(c + d*x)**7, x) + Integral(cot(c + d*x)**7, x))","F",0
8,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))*tan(d*x+c)**6,x)","a \left(\int \sin{\left(c + d x \right)} \tan^{6}{\left(c + d x \right)}\, dx + \int \tan^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*tan(c + d*x)**6, x) + Integral(tan(c + d*x)**6, x))","F",0
9,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))*tan(d*x+c)**4,x)","a \left(\int \sin{\left(c + d x \right)} \tan^{4}{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*tan(c + d*x)**4, x) + Integral(tan(c + d*x)**4, x))","F",0
10,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))*tan(d*x+c)**2,x)","a \left(\int \sin{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*tan(c + d*x)**2, x) + Integral(tan(c + d*x)**2, x))","F",0
11,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sin(d*x+c)),x)","a \left(\int \sin{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*cot(c + d*x)**2, x) + Integral(cot(c + d*x)**2, x))","F",0
12,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sin(d*x+c)),x)","a \left(\int \sin{\left(c + d x \right)} \cot^{4}{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*cot(c + d*x)**4, x) + Integral(cot(c + d*x)**4, x))","F",0
13,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sin(d*x+c)),x)","a \left(\int \sin{\left(c + d x \right)} \cot^{6}{\left(c + d x \right)}\, dx + \int \cot^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a*(Integral(sin(c + d*x)*cot(c + d*x)**6, x) + Integral(cot(c + d*x)**6, x))","F",0
14,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**2*tan(d*x+c)**5,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \tan^{5}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \tan^{5}{\left(c + d x \right)}\, dx + \int \tan^{5}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*tan(c + d*x)**5, x) + Integral(sin(c + d*x)**2*tan(c + d*x)**5, x) + Integral(tan(c + d*x)**5, x))","F",0
15,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**2*tan(d*x+c)**3,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int \tan^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*tan(c + d*x)**3, x) + Integral(sin(c + d*x)**2*tan(c + d*x)**3, x) + Integral(tan(c + d*x)**3, x))","F",0
16,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**2*tan(d*x+c),x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int \tan{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*tan(c + d*x), x) + Integral(sin(c + d*x)**2*tan(c + d*x), x) + Integral(tan(c + d*x), x))","F",0
17,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sin(d*x+c))**2,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*cot(c + d*x)**3, x) + Integral(sin(c + d*x)**2*cot(c + d*x)**3, x) + Integral(cot(c + d*x)**3, x))","F",0
18,0,0,0,0.000000," ","integrate(cot(d*x+c)**7*(a+a*sin(d*x+c))**2,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \cot^{7}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \cot^{7}{\left(c + d x \right)}\, dx + \int \cot^{7}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*cot(c + d*x)**7, x) + Integral(sin(c + d*x)**2*cot(c + d*x)**7, x) + Integral(cot(c + d*x)**7, x))","F",0
19,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**2*tan(d*x+c)**6,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \tan^{6}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \tan^{6}{\left(c + d x \right)}\, dx + \int \tan^{6}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*tan(c + d*x)**6, x) + Integral(sin(c + d*x)**2*tan(c + d*x)**6, x) + Integral(tan(c + d*x)**6, x))","F",0
20,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**2*tan(d*x+c)**4,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \tan^{4}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \tan^{4}{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*tan(c + d*x)**4, x) + Integral(sin(c + d*x)**2*tan(c + d*x)**4, x) + Integral(tan(c + d*x)**4, x))","F",0
21,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**2*tan(d*x+c)**2,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*tan(c + d*x)**2, x) + Integral(sin(c + d*x)**2*tan(c + d*x)**2, x) + Integral(tan(c + d*x)**2, x))","F",0
22,1,78,0,0.417310," ","integrate((a+a*sin(d*x+c))**2,x)","\begin{cases} \frac{a^{2} x \sin^{2}{\left(c + d x \right)}}{2} + \frac{a^{2} x \cos^{2}{\left(c + d x \right)}}{2} + a^{2} x - \frac{a^{2} \sin{\left(c + d x \right)} \cos{\left(c + d x \right)}}{2 d} - \frac{2 a^{2} \cos{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sin{\left(c \right)} + a\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x*sin(c + d*x)**2/2 + a**2*x*cos(c + d*x)**2/2 + a**2*x - a**2*sin(c + d*x)*cos(c + d*x)/(2*d) - 2*a**2*cos(c + d*x)/d, Ne(d, 0)), (x*(a*sin(c) + a)**2, True))","A",0
23,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sin(d*x+c))**2,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*cot(c + d*x)**2, x) + Integral(sin(c + d*x)**2*cot(c + d*x)**2, x) + Integral(cot(c + d*x)**2, x))","F",0
24,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sin(d*x+c))**2,x)","a^{2} \left(\int 2 \sin{\left(c + d x \right)} \cot^{4}{\left(c + d x \right)}\, dx + \int \sin^{2}{\left(c + d x \right)} \cot^{4}{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**2*(Integral(2*sin(c + d*x)*cot(c + d*x)**4, x) + Integral(sin(c + d*x)**2*cot(c + d*x)**4, x) + Integral(cot(c + d*x)**4, x))","F",0
25,-1,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**3*tan(d*x+c)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**3*tan(d*x+c)**3,x)","a^{3} \left(\int 3 \sin{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int 3 \sin^{2}{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int \sin^{3}{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int \tan^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*sin(c + d*x)*tan(c + d*x)**3, x) + Integral(3*sin(c + d*x)**2*tan(c + d*x)**3, x) + Integral(sin(c + d*x)**3*tan(c + d*x)**3, x) + Integral(tan(c + d*x)**3, x))","F",0
27,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**3*tan(d*x+c),x)","a^{3} \left(\int 3 \sin{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int 3 \sin^{2}{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int \sin^{3}{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int \tan{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*sin(c + d*x)*tan(c + d*x), x) + Integral(3*sin(c + d*x)**2*tan(c + d*x), x) + Integral(sin(c + d*x)**3*tan(c + d*x), x) + Integral(tan(c + d*x), x))","F",0
28,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sin(d*x+c))**3,x)","a^{3} \left(\int 3 \sin{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int 3 \sin^{2}{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int \sin^{3}{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*sin(c + d*x)*cot(c + d*x)**3, x) + Integral(3*sin(c + d*x)**2*cot(c + d*x)**3, x) + Integral(sin(c + d*x)**3*cot(c + d*x)**3, x) + Integral(cot(c + d*x)**3, x))","F",0
29,-1,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**3*tan(d*x+c)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**3*tan(d*x+c)**4,x)","a^{3} \left(\int 3 \sin{\left(c + d x \right)} \tan^{4}{\left(c + d x \right)}\, dx + \int 3 \sin^{2}{\left(c + d x \right)} \tan^{4}{\left(c + d x \right)}\, dx + \int \sin^{3}{\left(c + d x \right)} \tan^{4}{\left(c + d x \right)}\, dx + \int \tan^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*sin(c + d*x)*tan(c + d*x)**4, x) + Integral(3*sin(c + d*x)**2*tan(c + d*x)**4, x) + Integral(sin(c + d*x)**3*tan(c + d*x)**4, x) + Integral(tan(c + d*x)**4, x))","F",0
31,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**3*tan(d*x+c)**2,x)","a^{3} \left(\int 3 \sin{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int 3 \sin^{2}{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int \sin^{3}{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*sin(c + d*x)*tan(c + d*x)**2, x) + Integral(3*sin(c + d*x)**2*tan(c + d*x)**2, x) + Integral(sin(c + d*x)**3*tan(c + d*x)**2, x) + Integral(tan(c + d*x)**2, x))","F",0
32,1,121,0,1.053542," ","integrate((a+a*sin(d*x+c))**3,x)","\begin{cases} \frac{3 a^{3} x \sin^{2}{\left(c + d x \right)}}{2} + \frac{3 a^{3} x \cos^{2}{\left(c + d x \right)}}{2} + a^{3} x - \frac{a^{3} \sin^{2}{\left(c + d x \right)} \cos{\left(c + d x \right)}}{d} - \frac{3 a^{3} \sin{\left(c + d x \right)} \cos{\left(c + d x \right)}}{2 d} - \frac{2 a^{3} \cos^{3}{\left(c + d x \right)}}{3 d} - \frac{3 a^{3} \cos{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sin{\left(c \right)} + a\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*a**3*x*sin(c + d*x)**2/2 + 3*a**3*x*cos(c + d*x)**2/2 + a**3*x - a**3*sin(c + d*x)**2*cos(c + d*x)/d - 3*a**3*sin(c + d*x)*cos(c + d*x)/(2*d) - 2*a**3*cos(c + d*x)**3/(3*d) - 3*a**3*cos(c + d*x)/d, Ne(d, 0)), (x*(a*sin(c) + a)**3, True))","A",0
33,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sin(d*x+c))**3,x)","a^{3} \left(\int 3 \sin{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int 3 \sin^{2}{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int \sin^{3}{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**3*(Integral(3*sin(c + d*x)*cot(c + d*x)**2, x) + Integral(3*sin(c + d*x)**2*cot(c + d*x)**2, x) + Integral(sin(c + d*x)**3*cot(c + d*x)**2, x) + Integral(cot(c + d*x)**2, x))","F",0
34,-1,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**4*tan(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**4*tan(d*x+c)**3,x)","a^{4} \left(\int 4 \sin{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int 6 \sin^{2}{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int 4 \sin^{3}{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int \sin^{4}{\left(c + d x \right)} \tan^{3}{\left(c + d x \right)}\, dx + \int \tan^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(4*sin(c + d*x)*tan(c + d*x)**3, x) + Integral(6*sin(c + d*x)**2*tan(c + d*x)**3, x) + Integral(4*sin(c + d*x)**3*tan(c + d*x)**3, x) + Integral(sin(c + d*x)**4*tan(c + d*x)**3, x) + Integral(tan(c + d*x)**3, x))","F",0
36,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**4*tan(d*x+c),x)","a^{4} \left(\int 4 \sin{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int 6 \sin^{2}{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int 4 \sin^{3}{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int \sin^{4}{\left(c + d x \right)} \tan{\left(c + d x \right)}\, dx + \int \tan{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(4*sin(c + d*x)*tan(c + d*x), x) + Integral(6*sin(c + d*x)**2*tan(c + d*x), x) + Integral(4*sin(c + d*x)**3*tan(c + d*x), x) + Integral(sin(c + d*x)**4*tan(c + d*x), x) + Integral(tan(c + d*x), x))","F",0
37,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+a*sin(d*x+c))**4,x)","a^{4} \left(\int 4 \sin{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int 6 \sin^{2}{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int 4 \sin^{3}{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int \sin^{4}{\left(c + d x \right)} \cot^{3}{\left(c + d x \right)}\, dx + \int \cot^{3}{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(4*sin(c + d*x)*cot(c + d*x)**3, x) + Integral(6*sin(c + d*x)**2*cot(c + d*x)**3, x) + Integral(4*sin(c + d*x)**3*cot(c + d*x)**3, x) + Integral(sin(c + d*x)**4*cot(c + d*x)**3, x) + Integral(cot(c + d*x)**3, x))","F",0
38,-1,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**4*tan(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,0,0,0,0.000000," ","integrate((a+a*sin(d*x+c))**4*tan(d*x+c)**2,x)","a^{4} \left(\int 4 \sin{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int 6 \sin^{2}{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int 4 \sin^{3}{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int \sin^{4}{\left(c + d x \right)} \tan^{2}{\left(c + d x \right)}\, dx + \int \tan^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(4*sin(c + d*x)*tan(c + d*x)**2, x) + Integral(6*sin(c + d*x)**2*tan(c + d*x)**2, x) + Integral(4*sin(c + d*x)**3*tan(c + d*x)**2, x) + Integral(sin(c + d*x)**4*tan(c + d*x)**2, x) + Integral(tan(c + d*x)**2, x))","F",0
40,1,224,0,1.893054," ","integrate((a+a*sin(d*x+c))**4,x)","\begin{cases} \frac{3 a^{4} x \sin^{4}{\left(c + d x \right)}}{8} + \frac{3 a^{4} x \sin^{2}{\left(c + d x \right)} \cos^{2}{\left(c + d x \right)}}{4} + 3 a^{4} x \sin^{2}{\left(c + d x \right)} + \frac{3 a^{4} x \cos^{4}{\left(c + d x \right)}}{8} + 3 a^{4} x \cos^{2}{\left(c + d x \right)} + a^{4} x - \frac{5 a^{4} \sin^{3}{\left(c + d x \right)} \cos{\left(c + d x \right)}}{8 d} - \frac{4 a^{4} \sin^{2}{\left(c + d x \right)} \cos{\left(c + d x \right)}}{d} - \frac{3 a^{4} \sin{\left(c + d x \right)} \cos^{3}{\left(c + d x \right)}}{8 d} - \frac{3 a^{4} \sin{\left(c + d x \right)} \cos{\left(c + d x \right)}}{d} - \frac{8 a^{4} \cos^{3}{\left(c + d x \right)}}{3 d} - \frac{4 a^{4} \cos{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a \sin{\left(c \right)} + a\right)^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*a**4*x*sin(c + d*x)**4/8 + 3*a**4*x*sin(c + d*x)**2*cos(c + d*x)**2/4 + 3*a**4*x*sin(c + d*x)**2 + 3*a**4*x*cos(c + d*x)**4/8 + 3*a**4*x*cos(c + d*x)**2 + a**4*x - 5*a**4*sin(c + d*x)**3*cos(c + d*x)/(8*d) - 4*a**4*sin(c + d*x)**2*cos(c + d*x)/d - 3*a**4*sin(c + d*x)*cos(c + d*x)**3/(8*d) - 3*a**4*sin(c + d*x)*cos(c + d*x)/d - 8*a**4*cos(c + d*x)**3/(3*d) - 4*a**4*cos(c + d*x)/d, Ne(d, 0)), (x*(a*sin(c) + a)**4, True))","A",0
41,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+a*sin(d*x+c))**4,x)","a^{4} \left(\int 4 \sin{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int 6 \sin^{2}{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int 4 \sin^{3}{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int \sin^{4}{\left(c + d x \right)} \cot^{2}{\left(c + d x \right)}\, dx + \int \cot^{2}{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(4*sin(c + d*x)*cot(c + d*x)**2, x) + Integral(6*sin(c + d*x)**2*cot(c + d*x)**2, x) + Integral(4*sin(c + d*x)**3*cot(c + d*x)**2, x) + Integral(sin(c + d*x)**4*cot(c + d*x)**2, x) + Integral(cot(c + d*x)**2, x))","F",0
42,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+a*sin(d*x+c))**4,x)","a^{4} \left(\int 4 \sin{\left(c + d x \right)} \cot^{4}{\left(c + d x \right)}\, dx + \int 6 \sin^{2}{\left(c + d x \right)} \cot^{4}{\left(c + d x \right)}\, dx + \int 4 \sin^{3}{\left(c + d x \right)} \cot^{4}{\left(c + d x \right)}\, dx + \int \sin^{4}{\left(c + d x \right)} \cot^{4}{\left(c + d x \right)}\, dx + \int \cot^{4}{\left(c + d x \right)}\, dx\right)"," ",0,"a**4*(Integral(4*sin(c + d*x)*cot(c + d*x)**4, x) + Integral(6*sin(c + d*x)**2*cot(c + d*x)**4, x) + Integral(4*sin(c + d*x)**3*cot(c + d*x)**4, x) + Integral(sin(c + d*x)**4*cot(c + d*x)**4, x) + Integral(cot(c + d*x)**4, x))","F",0
43,-1,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+a*sin(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,0,0,0,0.000000," ","integrate(tan(d*x+c)**7/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\tan^{7}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**7/(sin(c + d*x) + 1), x)/a","F",0
45,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\tan^{5}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**5/(sin(c + d*x) + 1), x)/a","F",0
46,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\tan^{3}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**3/(sin(c + d*x) + 1), x)/a","F",0
47,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\tan{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)/(sin(c + d*x) + 1), x)/a","F",0
48,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)/(sin(c + d*x) + 1), x)/a","F",0
49,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{3}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**3/(sin(c + d*x) + 1), x)/a","F",0
50,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{5}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**5/(sin(c + d*x) + 1), x)/a","F",0
51,0,0,0,0.000000," ","integrate(cot(d*x+c)**7/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{7}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**7/(sin(c + d*x) + 1), x)/a","F",0
52,0,0,0,0.000000," ","integrate(cot(d*x+c)**9/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{9}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**9/(sin(c + d*x) + 1), x)/a","F",0
53,0,0,0,0.000000," ","integrate(tan(d*x+c)**6/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\tan^{6}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**6/(sin(c + d*x) + 1), x)/a","F",0
54,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\tan^{4}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**4/(sin(c + d*x) + 1), x)/a","F",0
55,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\tan^{2}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(tan(c + d*x)**2/(sin(c + d*x) + 1), x)/a","F",0
56,1,27,0,0.830138," ","integrate(1/(a+a*sin(d*x+c)),x)","\begin{cases} - \frac{2}{a d \tan{\left(\frac{c}{2} + \frac{d x}{2} \right)} + a d} & \text{for}\: d \neq 0 \\\frac{x}{a \sin{\left(c \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2/(a*d*tan(c/2 + d*x/2) + a*d), Ne(d, 0)), (x/(a*sin(c) + a), True))","A",0
57,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{2}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**2/(sin(c + d*x) + 1), x)/a","F",0
58,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{4}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**4/(sin(c + d*x) + 1), x)/a","F",0
59,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{6}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**6/(sin(c + d*x) + 1), x)/a","F",0
60,0,0,0,0.000000," ","integrate(cot(d*x+c)**8/(a+a*sin(d*x+c)),x)","\frac{\int \frac{\cot^{8}{\left(c + d x \right)}}{\sin{\left(c + d x \right)} + 1}\, dx}{a}"," ",0,"Integral(cot(c + d*x)**8/(sin(c + d*x) + 1), x)/a","F",0
61,0,0,0,0.000000," ","integrate(tan(d*x+c)**7/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\tan^{7}{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**7/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
62,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\tan^{5}{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**5/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
63,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\tan^{3}{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)**3/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
64,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\tan{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(tan(c + d*x)/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
65,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\cot{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
66,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\cot^{3}{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**3/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
67,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\cot^{5}{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**5/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
68,0,0,0,0.000000," ","integrate(cot(d*x+c)**7/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\cot^{7}{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**7/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
69,0,0,0,0.000000," ","integrate(cot(d*x+c)**9/(a+a*sin(d*x+c))**2,x)","\frac{\int \frac{\cot^{9}{\left(c + d x \right)}}{\sin^{2}{\left(c + d x \right)} + 2 \sin{\left(c + d x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral(cot(c + d*x)**9/(sin(c + d*x)**2 + 2*sin(c + d*x) + 1), x)/a**2","F",0
70,-1,0,0,0.000000," ","integrate(cot(d*x+c)**11/(a+a*sin(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate(cot(d*x+c)**13/(a+a*sin(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\tan^{5}{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**5/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
73,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\tan^{3}{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)**3/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
74,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\tan{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(tan(c + d*x)/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
75,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\cot{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
76,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\cot^{3}{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**3/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
77,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\cot^{5}{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**5/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
78,0,0,0,0.000000," ","integrate(cot(d*x+c)**7/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\cot^{7}{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**7/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
79,0,0,0,0.000000," ","integrate(cot(d*x+c)**9/(a+a*sin(d*x+c))**3,x)","\frac{\int \frac{\cot^{9}{\left(c + d x \right)}}{\sin^{3}{\left(c + d x \right)} + 3 \sin^{2}{\left(c + d x \right)} + 3 \sin{\left(c + d x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral(cot(c + d*x)**9/(sin(c + d*x)**3 + 3*sin(c + d*x)**2 + 3*sin(c + d*x) + 1), x)/a**3","F",0
80,-1,0,0,0.000000," ","integrate(cot(d*x+c)**11/(a+a*sin(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(cot(d*x+c)**13/(a+a*sin(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\tan^{5}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(tan(c + d*x)**5/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
83,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\tan^{3}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(tan(c + d*x)**3/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
84,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\tan{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(tan(c + d*x)/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
85,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\cot^{3}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(cot(c + d*x)**3/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
86,0,0,0,0.000000," ","integrate(cot(d*x+c)**7/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\cot^{7}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(cot(c + d*x)**7/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
87,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\tan^{2}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(tan(c + d*x)**2/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
88,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\cot^{2}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(cot(c + d*x)**2/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
89,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\cot^{4}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(cot(c + d*x)**4/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
90,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+a*sin(d*x+c))**4,x)","\frac{\int \frac{\cot^{6}{\left(c + d x \right)}}{\sin^{4}{\left(c + d x \right)} + 4 \sin^{3}{\left(c + d x \right)} + 6 \sin^{2}{\left(c + d x \right)} + 4 \sin{\left(c + d x \right)} + 1}\, dx}{a^{4}}"," ",0,"Integral(cot(c + d*x)**6/(sin(c + d*x)**4 + 4*sin(c + d*x)**3 + 6*sin(c + d*x)**2 + 4*sin(c + d*x) + 1), x)/a**4","F",0
91,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(1/2)*tan(f*x+e)**4,x)","\int \sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)} \tan^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a*(sin(e + f*x) + 1))*tan(e + f*x)**4, x)","F",0
92,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(1/2)*tan(f*x+e)**2,x)","\int \sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a*(sin(e + f*x) + 1))*tan(e + f*x)**2, x)","F",0
93,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+a*sin(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a*(sin(e + f*x) + 1))*cot(e + f*x)**2, x)","F",0
94,0,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+a*sin(f*x+e))**(1/2),x)","\int \sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)} \cot^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral(sqrt(a*(sin(e + f*x) + 1))*cot(e + f*x)**4, x)","F",0
95,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(3/2)*tan(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(3/2)*tan(f*x+e)**2,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**(3/2)*tan(e + f*x)**2, x)","F",0
97,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+a*sin(f*x+e))**(3/2),x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**(3/2)*cot(e + f*x)**2, x)","F",0
98,-1,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+a*sin(f*x+e))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(5/2)*tan(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
100,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(5/2)*tan(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+a*sin(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+a*sin(f*x+e))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+a*sin(f*x+e))**(1/2),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(e + f*x)**4/sqrt(a*(sin(e + f*x) + 1)), x)","F",0
104,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+a*sin(f*x+e))**(1/2),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(e + f*x)**2/sqrt(a*(sin(e + f*x) + 1)), x)","F",0
105,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+a*sin(f*x+e))**(1/2),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{\sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(e + f*x)**2/sqrt(a*(sin(e + f*x) + 1)), x)","F",0
106,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+a*sin(f*x+e))**(1/2),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{\sqrt{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(e + f*x)**4/sqrt(a*(sin(e + f*x) + 1)), x)","F",0
107,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+a*sin(f*x+e))**(3/2),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a*(sin(e + f*x) + 1))**(3/2), x)","F",0
108,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+a*sin(f*x+e))**(3/2),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a*(sin(e + f*x) + 1))**(3/2), x)","F",0
109,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+a*sin(f*x+e))**(3/2),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**2/(a*(sin(e + f*x) + 1))**(3/2), x)","F",0
110,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+a*sin(f*x+e))**(3/2),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**4/(a*(sin(e + f*x) + 1))**(3/2), x)","F",0
111,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+a*sin(f*x+e))**(5/2),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a*(sin(e + f*x) + 1))**(5/2), x)","F",0
112,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+a*sin(f*x+e))**(5/2),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a*(sin(e + f*x) + 1))**(5/2), x)","F",0
113,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+a*sin(f*x+e))**(5/2),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**2/(a*(sin(e + f*x) + 1))**(5/2), x)","F",0
114,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+a*sin(f*x+e))**(5/2),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{\left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cot(e + f*x)**4/(a*(sin(e + f*x) + 1))**(5/2), x)","F",0
115,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(1/3)*tan(f*x+e)**4,x)","\int \sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)} \tan^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**(1/3)*tan(e + f*x)**4, x)","F",0
116,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**(1/3)*tan(f*x+e)**2,x)","\int \sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**(1/3)*tan(e + f*x)**2, x)","F",0
117,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+a*sin(f*x+e))**(1/3),x)","\int \sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**(1/3)*cot(e + f*x)**2, x)","F",0
118,0,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+a*sin(f*x+e))**(1/3),x)","\int \sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)} \cot^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**(1/3)*cot(e + f*x)**4, x)","F",0
119,0,0,0,0.000000," ","integrate(tan(f*x+e)**4/(a+a*sin(f*x+e))**(1/3),x)","\int \frac{\tan^{4}{\left(e + f x \right)}}{\sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(e + f*x)**4/(a*(sin(e + f*x) + 1))**(1/3), x)","F",0
120,0,0,0,0.000000," ","integrate(tan(f*x+e)**2/(a+a*sin(f*x+e))**(1/3),x)","\int \frac{\tan^{2}{\left(e + f x \right)}}{\sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(tan(e + f*x)**2/(a*(sin(e + f*x) + 1))**(1/3), x)","F",0
121,0,0,0,0.000000," ","integrate(cot(f*x+e)**2/(a+a*sin(f*x+e))**(1/3),x)","\int \frac{\cot^{2}{\left(e + f x \right)}}{\sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(e + f*x)**2/(a*(sin(e + f*x) + 1))**(1/3), x)","F",0
122,0,0,0,0.000000," ","integrate(cot(f*x+e)**4/(a+a*sin(f*x+e))**(1/3),x)","\int \frac{\cot^{4}{\left(e + f x \right)}}{\sqrt[3]{a \left(\sin{\left(e + f x \right)} + 1\right)}}\, dx"," ",0,"Integral(cot(e + f*x)**4/(a*(sin(e + f*x) + 1))**(1/3), x)","F",0
123,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**3*(g*tan(f*x+e))**p,x)","a^{3} \left(\int \left(g \tan{\left(e + f x \right)}\right)^{p}\, dx + \int 3 \left(g \tan{\left(e + f x \right)}\right)^{p} \sin{\left(e + f x \right)}\, dx + \int 3 \left(g \tan{\left(e + f x \right)}\right)^{p} \sin^{2}{\left(e + f x \right)}\, dx + \int \left(g \tan{\left(e + f x \right)}\right)^{p} \sin^{3}{\left(e + f x \right)}\, dx\right)"," ",0,"a**3*(Integral((g*tan(e + f*x))**p, x) + Integral(3*(g*tan(e + f*x))**p*sin(e + f*x), x) + Integral(3*(g*tan(e + f*x))**p*sin(e + f*x)**2, x) + Integral((g*tan(e + f*x))**p*sin(e + f*x)**3, x))","F",0
124,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**2*(g*tan(f*x+e))**p,x)","a^{2} \left(\int \left(g \tan{\left(e + f x \right)}\right)^{p}\, dx + \int 2 \left(g \tan{\left(e + f x \right)}\right)^{p} \sin{\left(e + f x \right)}\, dx + \int \left(g \tan{\left(e + f x \right)}\right)^{p} \sin^{2}{\left(e + f x \right)}\, dx\right)"," ",0,"a**2*(Integral((g*tan(e + f*x))**p, x) + Integral(2*(g*tan(e + f*x))**p*sin(e + f*x), x) + Integral((g*tan(e + f*x))**p*sin(e + f*x)**2, x))","F",0
125,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))*(g*tan(f*x+e))**p,x)","a \left(\int \left(g \tan{\left(e + f x \right)}\right)^{p}\, dx + \int \left(g \tan{\left(e + f x \right)}\right)^{p} \sin{\left(e + f x \right)}\, dx\right)"," ",0,"a*(Integral((g*tan(e + f*x))**p, x) + Integral((g*tan(e + f*x))**p*sin(e + f*x), x))","F",0
126,0,0,0,0.000000," ","integrate((g*tan(f*x+e))**p/(a+a*sin(f*x+e)),x)","\frac{\int \frac{\left(g \tan{\left(e + f x \right)}\right)^{p}}{\sin{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral((g*tan(e + f*x))**p/(sin(e + f*x) + 1), x)/a","F",0
127,0,0,0,0.000000," ","integrate((g*tan(f*x+e))**p/(a+a*sin(f*x+e))**2,x)","\frac{\int \frac{\left(g \tan{\left(e + f x \right)}\right)^{p}}{\sin^{2}{\left(e + f x \right)} + 2 \sin{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral((g*tan(e + f*x))**p/(sin(e + f*x)**2 + 2*sin(e + f*x) + 1), x)/a**2","F",0
128,0,0,0,0.000000," ","integrate((g*tan(f*x+e))**p/(a+a*sin(f*x+e))**3,x)","\frac{\int \frac{\left(g \tan{\left(e + f x \right)}\right)^{p}}{\sin^{3}{\left(e + f x \right)} + 3 \sin^{2}{\left(e + f x \right)} + 3 \sin{\left(e + f x \right)} + 1}\, dx}{a^{3}}"," ",0,"Integral((g*tan(e + f*x))**p/(sin(e + f*x)**3 + 3*sin(e + f*x)**2 + 3*sin(e + f*x) + 1), x)/a**3","F",0
129,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m*(g*tan(f*x+e))**p,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \left(g \tan{\left(e + f x \right)}\right)^{p}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*(g*tan(e + f*x))**p, x)","F",0
130,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m*tan(f*x+e)**3,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \tan^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*tan(e + f*x)**3, x)","F",0
131,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m*tan(f*x+e),x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \tan{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*tan(e + f*x), x)","F",0
132,0,0,0,0.000000," ","integrate(cot(f*x+e)*(a+a*sin(f*x+e))**m,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \cot{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*cot(e + f*x), x)","F",0
133,0,0,0,0.000000," ","integrate(cot(f*x+e)**3*(a+a*sin(f*x+e))**m,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \cot^{3}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*cot(e + f*x)**3, x)","F",0
134,-1,0,0,0.000000," ","integrate(cot(f*x+e)**5*(a+a*sin(f*x+e))**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m*tan(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m*tan(f*x+e)**2,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \tan^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*tan(e + f*x)**2, x)","F",0
137,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))**m,x)","\int \left(a \sin{\left(e + f x \right)} + a\right)^{m}\, dx"," ",0,"Integral((a*sin(e + f*x) + a)**m, x)","F",0
138,0,0,0,0.000000," ","integrate(cot(f*x+e)**2*(a+a*sin(f*x+e))**m,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \cot^{2}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*cot(e + f*x)**2, x)","F",0
139,0,0,0,0.000000," ","integrate(cot(f*x+e)**4*(a+a*sin(f*x+e))**m,x)","\int \left(a \left(\sin{\left(e + f x \right)} + 1\right)\right)^{m} \cot^{4}{\left(e + f x \right)}\, dx"," ",0,"Integral((a*(sin(e + f*x) + 1))**m*cot(e + f*x)**4, x)","F",0
140,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))*tan(d*x+c)**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*tan(c + d*x)**3, x)","F",0
141,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))*tan(d*x+c),x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \tan{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*tan(c + d*x), x)","F",0
142,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*sin(d*x+c)),x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*cot(c + d*x), x)","F",0
143,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+b*sin(d*x+c)),x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*cot(c + d*x)**3, x)","F",0
144,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+b*sin(d*x+c)),x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \cot^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*cot(c + d*x)**5, x)","F",0
145,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))*tan(d*x+c)**4,x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*tan(c + d*x)**4, x)","F",0
146,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))*tan(d*x+c)**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*tan(c + d*x)**2, x)","F",0
147,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+b*sin(d*x+c)),x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*cot(c + d*x)**2, x)","F",0
148,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+b*sin(d*x+c)),x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \cot^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*cot(c + d*x)**4, x)","F",0
149,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+b*sin(d*x+c)),x)","\int \left(a + b \sin{\left(c + d x \right)}\right) \cot^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))*cot(c + d*x)**6, x)","F",0
150,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**2*tan(d*x+c)**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*tan(c + d*x)**3, x)","F",0
151,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**2*tan(d*x+c),x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*tan(c + d*x), x)","F",0
152,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*sin(d*x+c))**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*cot(c + d*x), x)","F",0
153,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+b*sin(d*x+c))**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*cot(c + d*x)**3, x)","F",0
154,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+b*sin(d*x+c))**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \cot^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*cot(c + d*x)**5, x)","F",0
155,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**2*tan(d*x+c)**4,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*tan(c + d*x)**4, x)","F",0
156,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**2*tan(d*x+c)**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*tan(c + d*x)**2, x)","F",0
157,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+b*sin(d*x+c))**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*cot(c + d*x)**2, x)","F",0
158,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+b*sin(d*x+c))**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \cot^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*cot(c + d*x)**4, x)","F",0
159,0,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+b*sin(d*x+c))**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{2} \cot^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**2*cot(c + d*x)**6, x)","F",0
160,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**3*tan(d*x+c)**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \tan^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*tan(c + d*x)**3, x)","F",0
161,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**3*tan(d*x+c),x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \tan{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*tan(c + d*x), x)","F",0
162,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*sin(d*x+c))**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \cot{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*cot(c + d*x), x)","F",0
163,0,0,0,0.000000," ","integrate(cot(d*x+c)**3*(a+b*sin(d*x+c))**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \cot^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*cot(c + d*x)**3, x)","F",0
164,0,0,0,0.000000," ","integrate(cot(d*x+c)**5*(a+b*sin(d*x+c))**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \cot^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*cot(c + d*x)**5, x)","F",0
165,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**3*tan(d*x+c)**4,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \tan^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*tan(c + d*x)**4, x)","F",0
166,0,0,0,0.000000," ","integrate((a+b*sin(d*x+c))**3*tan(d*x+c)**2,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \tan^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*tan(c + d*x)**2, x)","F",0
167,0,0,0,0.000000," ","integrate(cot(d*x+c)**2*(a+b*sin(d*x+c))**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \cot^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*cot(c + d*x)**2, x)","F",0
168,0,0,0,0.000000," ","integrate(cot(d*x+c)**4*(a+b*sin(d*x+c))**3,x)","\int \left(a + b \sin{\left(c + d x \right)}\right)^{3} \cot^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*sin(c + d*x))**3*cot(c + d*x)**4, x)","F",0
169,-1,0,0,0.000000," ","integrate(cot(d*x+c)**6*(a+b*sin(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+b*sin(d*x+c)),x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a + b*sin(c + d*x)), x)","F",0
171,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+b*sin(d*x+c)),x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a + b*sin(c + d*x)), x)","F",0
172,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+b*sin(d*x+c)),x)","\int \frac{\tan{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)/(a + b*sin(c + d*x)), x)","F",0
173,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+b*sin(d*x+c)),x)","\int \frac{\cot{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)/(a + b*sin(c + d*x)), x)","F",0
174,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+b*sin(d*x+c)),x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a + b*sin(c + d*x)), x)","F",0
175,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+b*sin(d*x+c)),x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**5/(a + b*sin(c + d*x)), x)","F",0
176,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+b*sin(d*x+c)),x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a + b*sin(c + d*x)), x)","F",0
177,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+b*sin(d*x+c)),x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a + b*sin(c + d*x)), x)","F",0
178,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+b*sin(d*x+c)),x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a + b*sin(c + d*x)), x)","F",0
179,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+b*sin(d*x+c)),x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**4/(a + b*sin(c + d*x)), x)","F",0
180,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+b*sin(d*x+c)),x)","\int \frac{\cot^{6}{\left(c + d x \right)}}{a + b \sin{\left(c + d x \right)}}\, dx"," ",0,"Integral(cot(c + d*x)**6/(a + b*sin(c + d*x)), x)","F",0
181,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+b*sin(d*x+c))**2,x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a + b*sin(c + d*x))**2, x)","F",0
182,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+b*sin(d*x+c))**2,x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a + b*sin(c + d*x))**2, x)","F",0
183,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+b*sin(d*x+c))**2,x)","\int \frac{\tan{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)/(a + b*sin(c + d*x))**2, x)","F",0
184,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+b*sin(d*x+c))**2,x)","\int \frac{\cot{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)/(a + b*sin(c + d*x))**2, x)","F",0
185,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+b*sin(d*x+c))**2,x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a + b*sin(c + d*x))**2, x)","F",0
186,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+b*sin(d*x+c))**2,x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**5/(a + b*sin(c + d*x))**2, x)","F",0
187,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+b*sin(d*x+c))**2,x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a + b*sin(c + d*x))**2, x)","F",0
188,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+b*sin(d*x+c))**2,x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a + b*sin(c + d*x))**2, x)","F",0
189,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+b*sin(d*x+c))**2,x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a + b*sin(c + d*x))**2, x)","F",0
190,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+b*sin(d*x+c))**2,x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**4/(a + b*sin(c + d*x))**2, x)","F",0
191,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+b*sin(d*x+c))**2,x)","\int \frac{\cot^{6}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(cot(c + d*x)**6/(a + b*sin(c + d*x))**2, x)","F",0
192,0,0,0,0.000000," ","integrate(tan(d*x+c)**5/(a+b*sin(d*x+c))**3,x)","\int \frac{\tan^{5}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(c + d*x)**5/(a + b*sin(c + d*x))**3, x)","F",0
193,0,0,0,0.000000," ","integrate(tan(d*x+c)**3/(a+b*sin(d*x+c))**3,x)","\int \frac{\tan^{3}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(c + d*x)**3/(a + b*sin(c + d*x))**3, x)","F",0
194,0,0,0,0.000000," ","integrate(tan(d*x+c)/(a+b*sin(d*x+c))**3,x)","\int \frac{\tan{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(c + d*x)/(a + b*sin(c + d*x))**3, x)","F",0
195,0,0,0,0.000000," ","integrate(cot(d*x+c)/(a+b*sin(d*x+c))**3,x)","\int \frac{\cot{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(cot(c + d*x)/(a + b*sin(c + d*x))**3, x)","F",0
196,0,0,0,0.000000," ","integrate(cot(d*x+c)**3/(a+b*sin(d*x+c))**3,x)","\int \frac{\cot^{3}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(cot(c + d*x)**3/(a + b*sin(c + d*x))**3, x)","F",0
197,0,0,0,0.000000," ","integrate(cot(d*x+c)**5/(a+b*sin(d*x+c))**3,x)","\int \frac{\cot^{5}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(cot(c + d*x)**5/(a + b*sin(c + d*x))**3, x)","F",0
198,0,0,0,0.000000," ","integrate(tan(d*x+c)**4/(a+b*sin(d*x+c))**3,x)","\int \frac{\tan^{4}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(c + d*x)**4/(a + b*sin(c + d*x))**3, x)","F",0
199,0,0,0,0.000000," ","integrate(tan(d*x+c)**2/(a+b*sin(d*x+c))**3,x)","\int \frac{\tan^{2}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(tan(c + d*x)**2/(a + b*sin(c + d*x))**3, x)","F",0
200,0,0,0,0.000000," ","integrate(cot(d*x+c)**2/(a+b*sin(d*x+c))**3,x)","\int \frac{\cot^{2}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(cot(c + d*x)**2/(a + b*sin(c + d*x))**3, x)","F",0
201,0,0,0,0.000000," ","integrate(cot(d*x+c)**4/(a+b*sin(d*x+c))**3,x)","\int \frac{\cot^{4}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(cot(c + d*x)**4/(a + b*sin(c + d*x))**3, x)","F",0
202,0,0,0,0.000000," ","integrate(cot(d*x+c)**6/(a+b*sin(d*x+c))**3,x)","\int \frac{\cot^{6}{\left(c + d x \right)}}{\left(a + b \sin{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(cot(c + d*x)**6/(a + b*sin(c + d*x))**3, x)","F",0
203,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))**3*(g*tan(f*x+e))**p,x)","\int \left(g \tan{\left(e + f x \right)}\right)^{p} \left(a + b \sin{\left(e + f x \right)}\right)^{3}\, dx"," ",0,"Integral((g*tan(e + f*x))**p*(a + b*sin(e + f*x))**3, x)","F",0
204,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))**2*(g*tan(f*x+e))**p,x)","\int \left(g \tan{\left(e + f x \right)}\right)^{p} \left(a + b \sin{\left(e + f x \right)}\right)^{2}\, dx"," ",0,"Integral((g*tan(e + f*x))**p*(a + b*sin(e + f*x))**2, x)","F",0
205,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))*(g*tan(f*x+e))**p,x)","\int \left(g \tan{\left(e + f x \right)}\right)^{p} \left(a + b \sin{\left(e + f x \right)}\right)\, dx"," ",0,"Integral((g*tan(e + f*x))**p*(a + b*sin(e + f*x)), x)","F",0
206,0,0,0,0.000000," ","integrate((g*tan(f*x+e))**p/(a+b*sin(f*x+e)),x)","\int \frac{\left(g \tan{\left(e + f x \right)}\right)^{p}}{a + b \sin{\left(e + f x \right)}}\, dx"," ",0,"Integral((g*tan(e + f*x))**p/(a + b*sin(e + f*x)), x)","F",0
207,0,0,0,0.000000," ","integrate((g*tan(f*x+e))**p/(a+b*sin(f*x+e))**2,x)","\int \frac{\left(g \tan{\left(e + f x \right)}\right)^{p}}{\left(a + b \sin{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((g*tan(e + f*x))**p/(a + b*sin(e + f*x))**2, x)","F",0
208,-1,0,0,0.000000," ","integrate((a+b*sin(f*x+e))**m*(g*tan(f*x+e))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
