Definite Integration
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Letg i : [
,
] → ℝ , i = 1 , 2 , and f : [
,
] → ℝ be functions such that g 1 ( x ) = 1 , g 2 ( x ) = | 4 x − π | and f ( x ) = sin 2 x , for all x ∈ [
,
]
DefineS i =
f ( x ) ⋅ g i ( x ) d x , i = 1 , 2
Let
Define
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