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§. Some integrals might seem complicated. But they will simplify significantly if you look at them in the right way. Evaluate the integral F(\theta)=\int \frac{\cos ^{3}(\theta)+\sin (2 \theta)-3 \cos (\theta)}{\sin ^{3}(\theta)+3 \cos ^{2}(\theta)+2 \sin (\theta)-3} d \theta

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