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Given-f-x-f-x-2016-x-R-If-0-3-f-x-30-then-3-5-f-x-2016-




Question Number 57388 by Joel578 last updated on 03/Apr/19
Given f(x) = f(x + 2016),  ∀x ∈ R  If ∫_0 ^3  f(x) = 30, then ∫_3 ^5  f(x + 2016) = ...
$$\mathrm{Given}\:{f}\left({x}\right)\:=\:{f}\left({x}\:+\:\mathrm{2016}\right),\:\:\forall{x}\:\in\:\mathbb{R} \\ $$$$\mathrm{If}\:\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\:{f}\left({x}\right)\:=\:\mathrm{30},\:\mathrm{then}\:\underset{\mathrm{3}} {\overset{\mathrm{5}} {\int}}\:{f}\left({x}\:+\:\mathrm{2016}\right)\:=\:… \\ $$

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