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Evaluating $\int \arccos\bigl(\frac{\cos (x)}{r}\bigr)\sin^2(x){\mathrm dx}$
Following from the previous question
Evaluating $\int \arccos\bigl(\frac{\cos(x)}{r}\bigr) \, \mathrm{d}x$
I now need the extra $\sin^2x$ as in the title. Of course one power of $\sin(x)$ is easy, ...
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