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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫ex(1−cot⁡x+cot⁡2x)dx=\int e^x\left(1-\cot x+\cot ^2 x\right) d x=
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Correct option: B
−excot⁡x+C-e^x \cot x+C
Option B (−excot⁡x+C-e^x \cot x+C) is correct because the integral simplifies to this form by recognizing the derivative of −cot⁡x-\cot x is 1+cot⁡2x=csc⁡2x1 + \cot^2 x = \csc^2 x.

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