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NTA Abhyas JEE Main2020MathematicsDefinite IntegrationPractice

The value of ∫ - π π 2 cos ⁡ x 1 + e x d x is equal to

Options

  1. Aπ 2
  2. Bπ
  3. C0
  4. D2 π

Correct answer

C. 0

Step-by-step solution

Let, Ι = ∫ - π π 2 cos ⁡ x 1 + e x d x Ι = ∫ 0 π 2 cos ⁡ x 1 + e x + 2 cos ⁡ x 1 + e - x d x Ι = ∫ 0 π 2 cos ⁡ x 1 1 + e x + e x 1 + e x d x Ι = ∫ 0 π 2 cos ⁡ x d x Ι = 0

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