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Antiderivative of:
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\[\sin ^{3}xcos ^{2}x\]
\[\Large \int \sin^3 x \cos^2 x dx\] \[\Large \int (\sin ^2 x)\cos^2 x \sin x dx\] \[\Large \int (1 - \cos^2 x)\cos^2 x \sin x dx\]
by parts?
that should help
u-substitution..
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u=cosx du=-sinx dx
\[-\int\limits u^2 \left(1-u^2\right) \, du\] \[\frac{u^5}{5}-\frac{u^3}{3}+c\]
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