If-f-x-is-a-periodic-function-with-period-T-then-

Tinku Tara June 14, 2023 None 0 Comments

Question Number 88681 by NicolasXd last updated on 12/Apr/20

If f(x) is a periodic function, with period T, then

$$\mathrm{If}\:\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{periodic}\:\mathrm{function},\:\mathrm{with} \\ $$$$\mathrm{period}\:{T},\:\mathrm{then} \\ $$

Commented by jagoll last updated on 12/Apr/20

then ∫_0 ^(nT) f(x+mT) dx = n ∫_0 ^T f(x) dx

$${then}\:\underset{\mathrm{0}} {\overset{{nT}} {\int}}\:{f}\left({x}+{mT}\right)\:{dx}\:=\:{n}\:\underset{\mathrm{0}} {\overset{{T}} {\int}}{f}\left({x}\right)\:{dx} \\ $$

Commented by jagoll last updated on 12/Apr/20

$${yes}\:{sir}.\:{i}\:{forgot}\: \\ $$

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