Definite Integration

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Let gi:[
π
8
,
3π
8
]
,i=1
,2
, and f:[
π
8
,
3π
8
]
be functions such that g1(x)=1,g2(x)=|4xπ| and f(x)=sin2x, for all x[
π
8
,
3π
8
]

Define Si=
π
8
3π
8
f(x)gi(x)dx
,i=1
,2
Section: Mathematics
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