The value of $\int x \sin k x d x$ is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int x \sin k x d x

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Correct option: D

-\frac{x \cos k x}{k}+\frac{\sin k x}{k^2}+c

Option D is correct because the integral of x sin(kx) dx is found using integration by parts, resulting in -x cos(kx)/k + sin(kx)/k² + c.

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