jee-main 2019 Q83

jee-main · India · session2_08apr_shift1 Standard Integrals and Reverse Chain Rule Antiderivative Verification and Construction

$\int \frac{\sin\frac{5x}{2}}{\sin\frac{x}{2}} dx$ is equal to
(1) $x + 2\sin x + \sin 2x + c$
(2) $2x + \sin x + \sin 2x + c$
(3) $x + 2\sin x + 2\sin 2x + c$
(4) $2x + \sin x + 2\sin 2x + c$

$\int \frac{\sin\frac{5x}{2}}{\sin\frac{x}{2}} dx$ is equal to\\
(1) $x + 2\sin x + \sin 2x + c$\\
(2) $2x + \sin x + \sin 2x + c$\\
(3) $x + 2\sin x + 2\sin 2x + c$\\
(4) $2x + \sin x + 2\sin 2x + c$

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