It is known that `f(x)` is an odd function in the interval `[p/2, p/2]` and has a period `p ,` Prove that `int_q^x(t)dt` is also periodic function with the same period.

It is known that f(x) is an odd function in the interval [-(p)/(2),(p)/(2)] and has a period p, Prove that int_(a)^(x)f(t)dt is also periodic function with the same period.

It is known that f(x) is an odd function and has a period p . Prove that int_(a)^(x)f(1)dt is also periodic function with the same period.

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

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

If f(x) is an odd periodic function with period 2 ,then f(4)=

The function f(x)=|sin4x|+|cos2x| is a periodic function with period

Prove that f(x)=x-[x] is periodic function. Also, find its period.

If f(x+10) + f(x+4), there f(x) is a periodic function with period