jee-main 2023 Q76

jee-main · India · session1_31jan_shift1 Integration by Substitution Substitution to Evaluate a Definite Integral (Numerical Answer)

The value of $\int_{\pi/3}^{\pi/2} \frac{2 + 3\sin x}{\sin x(1 + \cos x)}\,dx$ is equal to
(1) $\frac{7}{2} - \sqrt{3} - \log_e\sqrt{3}$
(2) $-2 + 3\sqrt{3} + \log_e\sqrt{3}$
(3) $\frac{10}{3} - \sqrt{3} + \log_e\sqrt{3}$
(4) $\frac{10}{3} - \sqrt{3} - \log_e\sqrt{3}$

The value of $\int_{\pi/3}^{\pi/2} \frac{2 + 3\sin x}{\sin x(1 + \cos x)}\,dx$ is equal to\\
(1) $\frac{7}{2} - \sqrt{3} - \log_e\sqrt{3}$\\
(2) $-2 + 3\sqrt{3} + \log_e\sqrt{3}$\\
(3) $\frac{10}{3} - \sqrt{3} + \log_e\sqrt{3}$\\
(4) $\frac{10}{3} - \sqrt{3} - \log_e\sqrt{3}$

Paper Questions

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