JEE Main 2024 Mathematics question
For x ∈ (−π/2, π/2), if , and then is equal to-
Answer: (D)
Solution
The integrand simplifies to (1 + sin²x)cos x/(1 + sin⁴x). With t = sin x: ∫(1 + t²)/(1 + t⁴)dt = ∫(1 + 1/t²)/(t² + 1/t²)dt. Put u = t − 1/t, so du = (1 + 1/t²)dt
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account