Periodic Function with Zero Mean

Rarely Tested

Periodic Function with Zero Mean

If:

$$\int_0^T f(x)\,dx=0$$

then:

$$\int_a^{a+nT}f(x)\,dx=0$$

for every integer $$n$$.

Usage

- Used when the average value of a periodic function over one period is zero.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.