The value of the integral I = ∫ 0 π 4 sin ⁡ x + cos ⁡ x cos ⁡ x - sin ⁡ x d x is equal to (where, . denotes the greatest integer function)

Question

The value of the integral I = ∫ 0 π 4 sin ⁡ x + cos ⁡ x cos ⁡ x - sin ⁡ x d x is equal to (where, . denotes the greatest integer function), 2, 2 2, 1, 2 - 1

MARKS App · Accepted Answer

Let, sin ⁡ x + cos ⁡ x = t ⇒ I = ∫ 1 2 t d t = ∫ 1 2 1 d t = 2 - 1

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