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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(cos⁡xx−xcos⁡x⋅sin⁡x)dx\int\left(\sqrt{\frac{\cos x}{x}}-\sqrt{\frac{x}{\cos x}} \cdot \sin x\right) d x equals
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Correct option: C
2xcos⁡x+C2 \sqrt{x \cos x}+C
Option C (2xcos⁡x+C2 \sqrt{x \cos x}+C) is correct because it is the result of the given integral after substitution.

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