If $f(x) = f(a + x)$and $\int_{0}^{a}{f\ (x)dx = k,\ }then\int_{0}^{na}{f(x)dx}$ is equal to

Question

Dr. Abubacker · Accepted Answer

(a)
Given, $f(x) = f(a + x)$and $\int_{0}^{a}{f(x)dx = k}$
$\int_{a}^{na}{f(x)dx = n\int_{0}^{a}{f(x) = nk}}$
$\lbrack\because f(x)$ is periodic function]

Q. If $f(x) = f(a + x)$and $\int_{0}^{a}{f\ (x)dx = k,\ }then\int_{0}^{na}{f(x)dx}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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