Integrate 16 sin^2x cos^2x

To integrate 16 sin^2x cos^2x, also written as ∫16 cos²x sin²x dx, 16 sin squared x cos squared x, 16 sin^2(x) cos^2(x), and 16 (sin x)^2 (cos x)^2, we rewrite the expression by moving the constant behind the integral sign.

We recall a solution that was previously proven in another article in the integration section for ∫cos²x sin²x dx.

We substitute the previously proven solution into our integration problem.

We multiply each term in the brackets with the constant 16.

Hence, this is the final answer.