Evaluate the following definite integrals exactly: $\displaystyle\int_{0}^{\pi }{\cos \,2nx\,\sin \,nx\,\mathrm{d}x}$, where $n$ is a positive integer.

ACJC Tutorial 22 Q3 (a)

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Evaluate the following definite integrals exactly:

$\displaystyle\displaystyle \displaystyle\int_{0}^{\pi }{\cos \,2nx\,\sin \,nx\,\mathrm{d}x}$, where $n$ is a positive integer.

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