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The value of ∫ - π π s i n y 1 + t a n 2 y d y (where [ x ] is greatest integer function) is

Correct answer

2

Step-by-step solution

I = ∫ - π π s i n x 1 + t a n 2 x d x = 4 ∫ 0 π / 2 sin x cos x d x ⇒ I = 8 3 sin 3 2 π 2 - 0 = 8 3 [ I ] = 2

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