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Let gi:[π8,3π8]→R,i=1,2 and f:[π8,3π8]→R be functions such that g1(x)=1,g2(x)=|4x−π| and f(x)=sin2x, for all x∈[π8,3π8].Define Si=∫3π8π8f(x)⋅gi(x)dx, i=1,2The value of 16S1π is

Answer» Let gi:[π8,3π8]→R,i=1,2 and f:[π8,3π8]→R be functions such that g1(x)=1,g2(x)=|4x−π| and f(x)=sin2x, for all x∈[π8,3π8].

Define Si=∫3π8π8f(x)⋅gi(x)dx, i=1,2



The value of 16S1π is


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