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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫esec⁡x⋅sec⁡3x(sin⁡2x+cos⁡x+sin⁡x+sin⁡xcos⁡x)dx=\int e^{\sec x} \cdot \sec ^3 x \left(\sin ^2 x+\cos x+\sin x+\sin x \cos x\right) d x=
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Correct option: A
esec⁡x(sec⁡x+tan⁡x)+e^{\sec x}(\sec x+\tan x)+
The correct answer is A (esec⁡x(sec⁡x+tan⁡x)+ce^{\sec x}(\sec x+\tan x)+c) because the integral simplifies to this expression after applying integration by parts and simplification.

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