Find \(\displaystyle\int \cos^2(\theta)(\sin\theta+\sec(\theta)\operatorname{cosec}(\theta))\,\mathr

Question

Find $\displaystyle\int \cos^2(\theta)(\sin\theta+\sec(\theta)\operatorname{cosec}(\theta))\,\mathrm{d}\theta$.

Accepted Answer

$-\dfrac{\cos^3(\theta)}{3}+\ln|\sin\theta|+C$

Mixed Integration Techniques