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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫sec⁡2x−7sin⁡7xdx\int \frac{\sec ^2 x-7}{\sin ^7 x} d x is equal to
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Correct option: D
tan⁡xcosec⁡7x+c\tan x \operatorname{cosec}^7 x+c
Option D (tan⁡xcosec⁡7x+c\tan x \operatorname{cosec}^7 x+c) is correct because the integral simplifies to this expression after applying integration by parts and simplification.

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