The integral 24 _0^ 2 (2 - x^2)dx (2 + x^2) 4 + x^4 is equal to _____.

JEE Main 2022 Mathematics question

The integral is equal to .

Answer: 3

Put t, dx = dt: the integral becomes ( − 1)dt/((t + )). Let u = t + 1/t,

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Question ID VK-025281