Question
Evaluate the following integrals.$$\int \sin ^{2} x \cos ^{2} x d x$$
Step 1
The power-reduction identity for $\sin^2x$ and $\cos^2x$ is $\sin^2x\cos^2x = \frac{1}{4}\sin^2(2x)$. So, we can rewrite the integral as: $$\int \sin ^{2} x \cos ^{2} x d x = \frac{1}{4}\int \sin^2(2x) dx$$ Show more…
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