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JEE Advanced 2021 Paper 2 Mathematics Q11
Mathematics
Problem
Let g₁,g₂:[π/8,3π/8] → ℝ and f:[π/8,3π/8] → ℝ satisfy g₁(x)=1, g₂(x)=|4x−π| and f(x)=sin²x. Define Sᵢ = ∫_{π/8}^{3π/8} f(x)gᵢ(x) dx, i=1,2. The value of 16S₁/π is ___.
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