jee-main 2019 Q83

jee-main · India · session2_08apr_shift1 Indefinite & Definite Integrals 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) $2x + \sin x + 2\sin 2x + c$