Periodic Function

If f be a periodic function as well as an odd function with period p and and x belongs to [ -p/2, p/2]

Prove that âˆ«f(t)dt (lower and upper limits are a and x resp.) is periodic with period p.

In the solution, there is a step which I did not understand-

\int_{0}^{p}f(t)dt = \int_{\frac{-p}{2}+0}^{\frac{-p}{2}+p}f(t)dt

I see no property of definite integrals here. Help needed.

1 Answers

any one???

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