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given-f-x-f-x-pi-6-x-R-if-0-pi-6-f-x-dx-T-then-pi-7pi-3-f-x-pi-dx-




Question Number 82223 by jagoll last updated on 19/Feb/20
given f(x) = f(x+(π/6)) , ∀x∈ R  if ∫_0 ^(π/6)  f(x) dx = T   then ∫_π ^((7π)/3)  f(x+π) dx = ?
givenf(x)=f(x+π6),xRifπ60f(x)dx=Tthen7π3πf(x+π)dx=?
Commented by john santu last updated on 19/Feb/20
⇒ ∫_π ^(π + 8((π/6))) f(x+6.(π/6)) dx = 8T
π+8(π6)πf(x+6.π6)dx=8T

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