1,-1,0,0,0.000000," ","integrate(sin(x)**5/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,-1,0,0,0.000000," ","integrate(sin(x)**3/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3,1,99,0,2.954086," ","integrate(sin(x)/(a+b*cos(x)+c*cos(x)**2),x)","\begin{cases} \frac{2}{b + 2 c \cos{\left(x \right)}} & \text{for}\: a = \frac{b^{2}}{4 c} \\- \frac{\log{\left(\frac{a}{b} + \cos{\left(x \right)} \right)}}{b} & \text{for}\: c = 0 \\- \frac{\log{\left(\frac{b}{2 c} + \cos{\left(x \right)} - \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{\sqrt{- 4 a c + b^{2}}} + \frac{\log{\left(\frac{b}{2 c} + \cos{\left(x \right)} + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{\sqrt{- 4 a c + b^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2/(b + 2*c*cos(x)), Eq(a, b**2/(4*c))), (-log(a/b + cos(x))/b, Eq(c, 0)), (-log(b/(2*c) + cos(x) - sqrt(-4*a*c + b**2)/(2*c))/sqrt(-4*a*c + b**2) + log(b/(2*c) + cos(x) + sqrt(-4*a*c + b**2)/(2*c))/sqrt(-4*a*c + b**2), True))","A",0
4,0,0,0,0.000000," ","integrate(csc(x)/(a+b*cos(x)+c*cos(x)**2),x)","\int \frac{\csc{\left(x \right)}}{a + b \cos{\left(x \right)} + c \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)/(a + b*cos(x) + c*cos(x)**2), x)","F",0
5,0,0,0,0.000000," ","integrate(csc(x)**3/(a+b*cos(x)+c*cos(x)**2),x)","\int \frac{\csc^{3}{\left(x \right)}}{a + b \cos{\left(x \right)} + c \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)**3/(a + b*cos(x) + c*cos(x)**2), x)","F",0
6,-1,0,0,0.000000," ","integrate(sin(x)**4/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(sin(x)**2/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,0,0,0,0.000000," ","integrate(csc(x)**2/(a+b*cos(x)+c*cos(x)**2),x)","\int \frac{\csc^{2}{\left(x \right)}}{a + b \cos{\left(x \right)} + c \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(csc(x)**2/(a + b*cos(x) + c*cos(x)**2), x)","F",0
9,1,15,0,0.201657," ","integrate(sin(x)/(-2+cos(x)+cos(x)**2),x)","- \frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{3} + \frac{\log{\left(\cos{\left(x \right)} + 2 \right)}}{3}"," ",0,"-log(cos(x) - 1)/3 + log(cos(x) + 2)/3","A",0
10,1,15,0,0.182864," ","integrate(sin(x)/(4-5*cos(x)+cos(x)**2),x)","- \frac{\log{\left(\cos{\left(x \right)} - 4 \right)}}{3} + \frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{3}"," ",0,"-log(cos(x) - 4)/3 + log(cos(x) - 1)/3","A",0
11,1,26,0,0.269708," ","integrate(sin(x)/(3-2*cos(x)+cos(x)**2),x)","- \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \cos{\left(x \right)}}{2} - \frac{\sqrt{2}}{2} \right)}}{2}"," ",0,"-sqrt(2)*atan(sqrt(2)*cos(x)/2 - sqrt(2)/2)/2","A",0
12,1,116,0,1.020439," ","integrate(sin(x)/(13-4*cos(x)+cos(x)**2)**2,x)","- \frac{\cos^{2}{\left(x \right)} \operatorname{atan}{\left(\frac{\cos{\left(x \right)}}{3} - \frac{2}{3} \right)}}{54 \cos^{2}{\left(x \right)} - 216 \cos{\left(x \right)} + 702} + \frac{4 \cos{\left(x \right)} \operatorname{atan}{\left(\frac{\cos{\left(x \right)}}{3} - \frac{2}{3} \right)}}{54 \cos^{2}{\left(x \right)} - 216 \cos{\left(x \right)} + 702} - \frac{3 \cos{\left(x \right)}}{54 \cos^{2}{\left(x \right)} - 216 \cos{\left(x \right)} + 702} - \frac{13 \operatorname{atan}{\left(\frac{\cos{\left(x \right)}}{3} - \frac{2}{3} \right)}}{54 \cos^{2}{\left(x \right)} - 216 \cos{\left(x \right)} + 702} + \frac{6}{54 \cos^{2}{\left(x \right)} - 216 \cos{\left(x \right)} + 702}"," ",0,"-cos(x)**2*atan(cos(x)/3 - 2/3)/(54*cos(x)**2 - 216*cos(x) + 702) + 4*cos(x)*atan(cos(x)/3 - 2/3)/(54*cos(x)**2 - 216*cos(x) + 702) - 3*cos(x)/(54*cos(x)**2 - 216*cos(x) + 702) - 13*atan(cos(x)/3 - 2/3)/(54*cos(x)**2 - 216*cos(x) + 702) + 6/(54*cos(x)**2 - 216*cos(x) + 702)","B",0
13,-1,0,0,0.000000," ","integrate(cos(x)**4/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate(cos(x)**3/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate(cos(x)**2/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate(cos(x)/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,-1,0,0,0.000000," ","integrate(1/(a+b*cos(x)+c*cos(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,0,0,0,0.000000," ","integrate(sec(x)/(a+b*cos(x)+c*cos(x)**2),x)","\int \frac{\sec{\left(x \right)}}{a + b \cos{\left(x \right)} + c \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sec(x)/(a + b*cos(x) + c*cos(x)**2), x)","F",0
19,0,0,0,0.000000," ","integrate(sec(x)**2/(a+b*cos(x)+c*cos(x)**2),x)","\int \frac{\sec^{2}{\left(x \right)}}{a + b \cos{\left(x \right)} + c \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sec(x)**2/(a + b*cos(x) + c*cos(x)**2), x)","F",0
20,0,0,0,0.000000," ","integrate(sec(x)**3/(a+b*cos(x)+c*cos(x)**2),x)","\int \frac{\sec^{3}{\left(x \right)}}{a + b \cos{\left(x \right)} + c \cos^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sec(x)**3/(a + b*cos(x) + c*cos(x)**2), x)","F",0
