Given \( f \) is an odd function defined everywhere, periodic with ... VIDEO
Given \( f \) is an odd function defined everywhere, periodic with period 2 and integrable on every interval.
Let \( g(x)=\int_{0}^{x} f(t) d t \). Then :
(A) \( g(2 n)=0 \) for every integer \( n \)
(B) \( g(x) \) is an even function
(C) \( g(x) \) and \( f(x) \) have the same period
(D) \( g(x) \) is an odd function
\( \mathrm{P} \)
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