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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫(1xtan⁡(1x))2dx=……\int\left(\frac{1}{x} \tan \left(\frac{1}{x}\right)\right)^2 d x=\ldots \ldots
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Correct option: C
1x−tan⁡(1x)+c\frac{1}{x}-\tan \left(\frac{1}{x}\right)+c
Option C (1x−tan⁡(1x)+c\frac{1}{x}-\tan \left(\frac{1}{x}\right)+c) is the correct result obtained by using substitution and integrating the resulting trigonometric function.

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