Question:medium
$\displaystyle\int_{0}^{1} x\sin(\pi x)\,dx$ is equal to
$\displaystyle\int_{0}^{1} x\sin(\pi x)\,dx$ is equal to
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Integration by parts: choose $u$ as algebraic and $dv$ as trigonometric. Evaluate the boundary terms carefully noting $\cos(0)=1$, $\cos(\pi)=-1$.
Updated On: Apr 8, 2026
- 1
- $1/2$
- $\pi$
- $1/\pi$
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The Correct Option is D
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