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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
∫cos⁡xxdx\int \frac{\cos \sqrt{x}}{\sqrt{x}} d x is equal to
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Correct option: D
2sin⁡x+c2 \sin \sqrt{x}+c
Option D is correct because substituting t=xt = \sqrt{x} simplifies the integral to 2∫cos⁡tdt2\int \cos t dt, which integrates to 2sin⁡x+c2\sin \sqrt{x} + c.

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