JEE Main 2024 Mathematics question

MathematicsDefinite IntegrationJEE Main 2024

If the value of the integral , then the value of a is-

Answer: (B)

Solution

Adding the integral with x replaced by −x, 2I = ∫_{−π/2}^{π/2}(x²cos x + 1 + sin²x)dx, so I = ∫₀^{π/2}(x²cos x + 3/2 −

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Question ID VK-016895