JEE Main 2024 Mathematics question
Let be π/k, using only the principal values of the inverse trigonometric functions. Then k² is equal to .....
Answer: 32
Solution
The general term is n/√(n⁴ + r⁴) − 2nr²/((n² + r²)√(n⁴ + r⁴)). As a Riemann sum with x = r/n, the limit is ∫₀¹[1/√(1 + x⁴) − 2x²/((1 + x²)√(1 + x⁴))]dx = ∫₀¹(1 − x²)/((1 + x²)√(1 + x⁴))dx. Dividing
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