1,1,194,65,0.9123347,"\int \frac{(a+a \cos (e+f x))^2 \sec ^2(e+f x)}{-c+c \cos (e+f x)} \, dx","Integrate[((a + a*Cos[e + f*x])^2*Sec[e + f*x]^2)/(-c + c*Cos[e + f*x]),x]","\frac{2 a^2 \sin \left(\frac{1}{2} (e+f x)\right) \left(4 \csc \left(\frac{e}{2}\right) \sin \left(\frac{f x}{2}\right)+\sin \left(\frac{1}{2} (e+f x)\right) \left(\frac{\sin (f x)}{\left(\cos \left(\frac{e}{2}\right)-\sin \left(\frac{e}{2}\right)\right) \left(\sin \left(\frac{e}{2}\right)+\cos \left(\frac{e}{2}\right)\right) \left(\cos \left(\frac{1}{2} (e+f x)\right)-\sin \left(\frac{1}{2} (e+f x)\right)\right) \left(\sin \left(\frac{1}{2} (e+f x)\right)+\cos \left(\frac{1}{2} (e+f x)\right)\right)}-3 \log \left(\cos \left(\frac{1}{2} (e+f x)\right)-\sin \left(\frac{1}{2} (e+f x)\right)\right)+3 \log \left(\sin \left(\frac{1}{2} (e+f x)\right)+\cos \left(\frac{1}{2} (e+f x)\right)\right)\right)\right)}{c f (\cos (e+f x)-1)}","-\frac{a^2 \tan (e+f x)}{c f}-\frac{3 a^2 \tanh ^{-1}(\sin (e+f x))}{c f}+\frac{4 a^2 \sin (e+f x)}{c f (1-\cos (e+f x))}",1,"(2*a^2*Sin[(e + f*x)/2]*(4*Csc[e/2]*Sin[(f*x)/2] + Sin[(e + f*x)/2]*(-3*Log[Cos[(e + f*x)/2] - Sin[(e + f*x)/2]] + 3*Log[Cos[(e + f*x)/2] + Sin[(e + f*x)/2]] + Sin[f*x]/((Cos[e/2] - Sin[e/2])*(Cos[e/2] + Sin[e/2])*(Cos[(e + f*x)/2] - Sin[(e + f*x)/2])*(Cos[(e + f*x)/2] + Sin[(e + f*x)/2])))))/(c*f*(-1 + Cos[e + f*x]))","B",1