12. Integrate using integration by parts. $\int x^2 \cos x \, dx$
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Then, we have du/dx = 1 and v = sin(x). Using the formula for integration by parts, we have: Jx cos(x)dx = uv - Jv du/dx dx = x sin(x) - Jsin(x) dx Now, we can integrate Jsin(x) dx using substitution. Let u = sin(x), then du/dx = cos(x) and dx = du/cos(x). Show more…
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