1,-1,0,0,0.000000," ","integrate(sin(x)^4/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,-1,0,0,0.000000," ","integrate(sin(x)^3/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3,-1,0,0,0.000000," ","integrate(sin(x)^2/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
4,-1,0,0,0.000000," ","integrate(sin(x)/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
5,-1,0,0,0.000000," ","integrate(1/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,-1,0,0,0.000000," ","integrate(csc(x)/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(csc(x)^2/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate(csc(x)^3/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,1,78,0,0.290272," ","integrate(cos(x)^3/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\frac{b \log\left(c \sin\left(x\right)^{2} + b \sin\left(x\right) + a\right)}{2 \, c^{2}} - \frac{\sin\left(x\right)}{c} - \frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} \arctan\left(\frac{2 \, c \sin\left(x\right) + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} c^{2}}"," ",0,"1/2*b*log(c*sin(x)^2 + b*sin(x) + a)/c^2 - sin(x)/c - (b^2 - 2*a*c - 2*c^2)*arctan((2*c*sin(x) + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^2)","A",0
10,-1,0,0,0.000000," ","integrate(cos(x)^2/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,1,35,0,0.128968," ","integrate(cos(x)/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{2 \, c \sin\left(x\right) + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c}}"," ",0,"2*arctan((2*c*sin(x) + b)/sqrt(-b^2 + 4*a*c))/sqrt(-b^2 + 4*a*c)","A",0
12,1,131,0,1.225629," ","integrate(sec(x)/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","-\frac{b \log\left(c \sin\left(x\right)^{2} + b \sin\left(x\right) + a\right)}{2 \, {\left(a^{2} - b^{2} + 2 \, a c + c^{2}\right)}} - \frac{{\left(b^{2} - 2 \, a c - 2 \, c^{2}\right)} \arctan\left(\frac{2 \, c \sin\left(x\right) + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{{\left(a^{2} - b^{2} + 2 \, a c + c^{2}\right)} \sqrt{-b^{2} + 4 \, a c}} + \frac{\log\left(\sin\left(x\right) + 1\right)}{2 \, {\left(a - b + c\right)}} - \frac{\log\left(-\sin\left(x\right) + 1\right)}{2 \, {\left(a + b + c\right)}}"," ",0,"-1/2*b*log(c*sin(x)^2 + b*sin(x) + a)/(a^2 - b^2 + 2*a*c + c^2) - (b^2 - 2*a*c - 2*c^2)*arctan((2*c*sin(x) + b)/sqrt(-b^2 + 4*a*c))/((a^2 - b^2 + 2*a*c + c^2)*sqrt(-b^2 + 4*a*c)) + 1/2*log(sin(x) + 1)/(a - b + c) - 1/2*log(-sin(x) + 1)/(a + b + c)","A",0
13,-1,0,0,0.000000," ","integrate(sec(x)^2/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,1,377,0,1.845119," ","integrate(sec(x)^3/(a+b*sin(x)+c*sin(x)^2),x, algorithm=""giac"")","\frac{{\left(b^{3} - 2 \, a b c - 2 \, b c^{2}\right)} \log\left(c \sin\left(x\right)^{2} + b \sin\left(x\right) + a\right)}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 4 \, a^{3} c - 4 \, a b^{2} c + 6 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + 4 \, a c^{3} + c^{4}\right)}} + \frac{{\left(a - 2 \, b + 3 \, c\right)} \log\left(\sin\left(x\right) + 1\right)}{4 \, {\left(a^{2} - 2 \, a b + b^{2} + 2 \, a c - 2 \, b c + c^{2}\right)}} - \frac{{\left(a + 2 \, b + 3 \, c\right)} \log\left(-\sin\left(x\right) + 1\right)}{4 \, {\left(a^{2} + 2 \, a b + b^{2} + 2 \, a c + 2 \, b c + c^{2}\right)}} + \frac{{\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + 4 \, a c^{3} + 2 \, c^{4}\right)} \arctan\left(\frac{2 \, c \sin\left(x\right) + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 4 \, a^{3} c - 4 \, a b^{2} c + 6 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + 4 \, a c^{3} + c^{4}\right)} \sqrt{-b^{2} + 4 \, a c}} + \frac{a^{2} b - b^{3} + 2 \, a b c + b c^{2} - {\left(a^{3} - a b^{2} + 3 \, a^{2} c - b^{2} c + 3 \, a c^{2} + c^{3}\right)} \sin\left(x\right)}{2 \, {\left(a + b + c\right)}^{2} {\left(a - b + c\right)}^{2} {\left(\sin\left(x\right) + 1\right)} {\left(\sin\left(x\right) - 1\right)}}"," ",0,"1/2*(b^3 - 2*a*b*c - 2*b*c^2)*log(c*sin(x)^2 + b*sin(x) + a)/(a^4 - 2*a^2*b^2 + b^4 + 4*a^3*c - 4*a*b^2*c + 6*a^2*c^2 - 2*b^2*c^2 + 4*a*c^3 + c^4) + 1/4*(a - 2*b + 3*c)*log(sin(x) + 1)/(a^2 - 2*a*b + b^2 + 2*a*c - 2*b*c + c^2) - 1/4*(a + 2*b + 3*c)*log(-sin(x) + 1)/(a^2 + 2*a*b + b^2 + 2*a*c + 2*b*c + c^2) + (b^4 - 4*a*b^2*c + 2*a^2*c^2 - 2*b^2*c^2 + 4*a*c^3 + 2*c^4)*arctan((2*c*sin(x) + b)/sqrt(-b^2 + 4*a*c))/((a^4 - 2*a^2*b^2 + b^4 + 4*a^3*c - 4*a*b^2*c + 6*a^2*c^2 - 2*b^2*c^2 + 4*a*c^3 + c^4)*sqrt(-b^2 + 4*a*c)) + 1/2*(a^2*b - b^3 + 2*a*b*c + b*c^2 - (a^3 - a*b^2 + 3*a^2*c - b^2*c + 3*a*c^2 + c^3)*sin(x))/((a + b + c)^2*(a - b + c)^2*(sin(x) + 1)*(sin(x) - 1))","A",0
15,1,17,0,0.186348," ","integrate(cos(x)/(-6+sin(x)+sin(x)^2),x, algorithm=""giac"")","-\frac{1}{5} \, \log\left(\sin\left(x\right) + 3\right) + \frac{1}{5} \, \log\left(-\sin\left(x\right) + 2\right)"," ",0,"-1/5*log(sin(x) + 3) + 1/5*log(-sin(x) + 2)","A",0
16,1,17,0,0.146888," ","integrate(cos(x)/(2-3*sin(x)+sin(x)^2),x, algorithm=""giac"")","\log\left(-\sin\left(x\right) + 2\right) - \log\left(-\sin\left(x\right) + 1\right)"," ",0,"log(-sin(x) + 2) - log(-sin(x) + 1)","A",0
17,1,17,0,0.139143," ","integrate(cos(x)/(-5+4*sin(x)+sin(x)^2),x, algorithm=""giac"")","-\frac{1}{6} \, \log\left(\sin\left(x\right) + 5\right) + \frac{1}{6} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"-1/6*log(sin(x) + 5) + 1/6*log(-sin(x) + 1)","A",0
18,1,5,0,0.119475," ","integrate(cos(x)/(10-6*sin(x)+sin(x)^2),x, algorithm=""giac"")","\arctan\left(\sin\left(x\right) - 3\right)"," ",0,"arctan(sin(x) - 3)","A",0
19,1,5,0,0.137222," ","integrate(cos(x)/(2+2*sin(x)+sin(x)^2),x, algorithm=""giac"")","\arctan\left(\sin\left(x\right) + 1\right)"," ",0,"arctan(sin(x) + 1)","A",0
