If ∫((1−5cos²x)/(sin⁵x cos²x))dx=... | Indefinite Integrals

JEE MAIN 2026

28-1-2026 S1

Question

If $\int\left(\frac{1-5 \cos ^2 x}{\sin ^5 x \cos ^2 x}\right) d x=f(x)+\mathrm{C}$, where C is the constant of integration, then $f\left(\frac{\pi}{6}\right)-f\left(\frac{\pi}{4}\right)$ is equal to

Select the correct option:

$\frac{1}{\sqrt{3}}(26+\sqrt{3})$

$\frac{4}{\sqrt{3}}(8-\sqrt{6})$

$\frac{1}{\sqrt{3}}(26-\sqrt{3})$

$\frac{2}{\sqrt{3}}(4+\sqrt{6})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun

Report Issue