Question Number 103515 by bemath last updated on 15/Jul/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 ?

Answered by bramlex last updated on 15/Jul/20

⇒∫_π ^(7π/3) f(x+π) dx = ∫_0 ^(4π/3) f(x)dx =  ∫_0 ^(8((π/6))) f(x) dx = 8T ■