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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫sin⁡51x(sin⁡x)49dx=\int \sin 51 x(\sin x)^{49} d x=
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Correct option: A
sin⁡50x(sin⁡x)5050+c\frac{\sin 50 x(\sin x)^{50}}{50}+c
Option A (sin⁡50x(sin⁡x)5050+c\frac{{\sin 50 x(\sin x)^{{50}}}}{{50}}+c) is correct because the integral simplifies to this form after applying trigonometric identities and integration by parts.

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