Question
Evaluate the integrals using integration by parts.$$\int \theta \cos \pi \theta d \theta$$
Step 1
The formula is given by: $$\int u dv = uv - \int v du$$ In this case, we can let $u = \theta$ and $dv = \cos \pi \theta d \theta$. Then we find $du = d \theta$ and $v = \frac{1}{\pi} \sin \pi \theta$. Show more…
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