🛠️ JEE➗ Maths

The value of \({\int }_{\frac{\pi }{3}}^{\frac{\pi }{2}}\frac{(2+3\sin x)}{\sin x(1+\cos x)}dx\) is equal to [JEE Main 2…

Q1

The value of \({\int }_{\frac{\pi }{3}}^{\frac{\pi }{2}}\frac{(2+3\sin x)}{\sin x(1+\cos x)}dx\) is equal to

[JEE Main 2023, 31 Jan (Shift 1)]

a

\(\frac{7}{2}-\sqrt{3}-{\log }_{e}\sqrt{3}\)

b

\(-2+3\sqrt{3}+{\log }_{e}\sqrt{3}\)

c

\(\frac{10}{3}-\sqrt{3}+{\log }_{e}\sqrt{3}\)

d

\(\frac{10}{3}-\sqrt{3}-{\log }_{e}\sqrt{3}\)

🔒

Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

← Previous question Next question →

Practice more JEE Maths PYQs

See every question on Definite Integration, or browse the full JEE question bank.

See all questions on Definite Integration →