🛠️ JEE➗ Maths

The value of the integral \({\int }_{\frac{\pi }{6}}^{\frac{\pi }{3}}\left(\frac{4-{\csc }^{2}x}{{\cos }^{4}x}\right)dx\…

Q1

The value of the integral \({\int }_{\frac{\pi }{6}}^{\frac{\pi }{3}}\left(\frac{4-{\csc }^{2}x}{{\cos }^{4}x}\right)dx\) is:

[JEE Main 2026, 5 Apr (Shift 1)]

a

\(\frac{11}{\sqrt{3}}\)

b

\(\frac{16}{\sqrt{3}}\)

c

\(\frac{32}{3\sqrt{3}}\)

d

\(\frac{64}{3\sqrt{3}}\)

🔒
Answer & explanation — PYQ Pass

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

Unlock · ₹149

Practice more JEE Maths PYQs

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

See all questions on Definite Integration →