1,1,22,0,0.252734," ","integrate(3/(5-4*cos(x)),x)","2 \operatorname{atan}{\left(3 \tan{\left(\frac{x}{2} \right)} \right)} + 2 \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor"," ",0,"2*atan(3*tan(x/2)) + 2*pi*floor((x/2 - pi/2)/pi)","A",0
2,1,94,0,47.005538," ","integrate((1+cos(x)+2*sin(x))/(3+cos(x)**2+2*sin(x)-2*cos(x)*sin(x)),x)","\frac{i \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{1}{2} - \frac{\sqrt{1 - 4 i}}{2} \right)}}{2} + \frac{i \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{1}{2} + \frac{\sqrt{1 - 4 i}}{2} \right)}}{2} - \frac{i \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{1}{2} - \frac{\sqrt{1 + 4 i}}{2} \right)}}{2} - \frac{i \log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{1}{2} + \frac{\sqrt{1 + 4 i}}{2} \right)}}{2}"," ",0,"I*log(tan(x/2) + 1/2 - sqrt(1 - 4*I)/2)/2 + I*log(tan(x/2) + 1/2 + sqrt(1 - 4*I)/2)/2 - I*log(tan(x/2) + 1/2 - sqrt(1 + 4*I)/2)/2 - I*log(tan(x/2) + 1/2 + sqrt(1 + 4*I)/2)/2","C",0
3,0,0,0,0.000000," ","integrate((2+cos(x)+5*sin(x))/(4*cos(x)-2*sin(x)+cos(x)*sin(x)-2*sin(x)**2),x)","\int \frac{5 \sin{\left(x \right)} + \cos{\left(x \right)} + 2}{- 2 \sin^{2}{\left(x \right)} + \sin{\left(x \right)} \cos{\left(x \right)} - 2 \sin{\left(x \right)} + 4 \cos{\left(x \right)}}\, dx"," ",0,"Integral((5*sin(x) + cos(x) + 2)/(-2*sin(x)**2 + sin(x)*cos(x) - 2*sin(x) + 4*cos(x)), x)","F",0
4,1,24,0,1.099739," ","integrate((3+7*cos(x)+2*sin(x))/(1+4*cos(x)+3*cos(x)**2-5*sin(x)-cos(x)*sin(x)),x)","- \log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} \right)} + \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + \tan{\left(\frac{x}{2} \right)} + 2 \right)}"," ",0,"-log(tan(x/2) - 1/2) + log(tan(x/2)**2 + tan(x/2) + 2)","A",0
5,-1,0,0,0.000000," ","integrate((-1+4*cos(x)+5*cos(x)**2)/(-1-4*cos(x)-3*cos(x)**2+4*cos(x)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,-1,0,0,0.000000," ","integrate((-5+2*cos(x)+7*cos(x)**2)/(-1+2*cos(x)-9*cos(x)**2+4*cos(x)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,1,27,0,0.271898," ","integrate(3/(5+4*sin(x)),x)","2 \operatorname{atan}{\left(\frac{5 \tan{\left(\frac{x}{2} \right)}}{3} + \frac{4}{3} \right)} + 2 \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor"," ",0,"2*atan(5*tan(x/2)/3 + 4/3) + 2*pi*floor((x/2 - pi/2)/pi)","B",0
8,1,60,0,0.768760," ","integrate(2/(1+cos(x)**2),x)","\sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} - 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) + \sqrt{2} \left(\operatorname{atan}{\left(\sqrt{2} \tan{\left(\frac{x}{2} \right)} + 1 \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)"," ",0,"sqrt(2)*(atan(sqrt(2)*tan(x/2) - 1) + pi*floor((x/2 - pi/2)/pi)) + sqrt(2)*(atan(sqrt(2)*tan(x/2) + 1) + pi*floor((x/2 - pi/2)/pi))","A",0
9,-1,0,0,0.000000," ","integrate(1/(p+q*cos(x)+r*sin(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
