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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The value of ∫1/21(2xsin⁡1x−cos⁡1x)dx\int\limits_{{1 / 2}}^1\left(2 x \sin \frac{1}{x}-\cos \frac{1}{x}\right) \mathrm{d} x is
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Correct option: D
None of these
Option D (None of these) is correct because the integral evaluates to sin⁡(1)−14sin⁡(2)\sin(1) - \frac{1}{4}\sin(2), which is not among the given options.

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