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^xf(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(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(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 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)=