The integral ∫_(1/4)^(3/4) cos(2cot⁻¹√(1-x)/(1+x)) dx is equal to… | JEE Main 2024 Mathematics PYQ | Jeeify

Log in Start free trial

MCQMediumJEE Main 2024 · 6 April, Shift 1Definite Integrals

The integral $\int_{1/4}^{3/4} \cos\left(2\cot^{-1}\sqrt{\frac{1-x}{1+x}}\right) \, dx$ is equal to:

A
$-\frac{1}{2}$
B
$\frac{1}{4}$
C
$\frac{1}{2}$
D
$-\frac{1}{4}$

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Definite Integrals questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Definite Integrals

Related questions