JEE Main 2024 Mathematics question

MathematicsDefinite IntegrationJEE Main 2024

If where α, β are integers, then α² + β² equals.

Answer: 8

Solution

Using x → −x, I = 8√2∫₀¹ dt/(1 + t⁴) = 2π + 2 ln(3 + 2√2); α = β = 2.

Question ID VK-011303