JEE Main 2024 Mathematics question

MathematicsIndefinite IntegrationJEE Main 2024

If , where α, β and γ are rational numbers, then 3α + 4β – γ is equal to .

Answer: 6

Solution

√(1 − sin2x) = |sin x − cos x|, which changes sign at x = π/4. The integral is ∫_{π/6}^{π/4}(cos x − sin

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Question ID VK-016828