Let $$f(x)$$ be an indefinite integral of $$\cos^3 x$$. Statement 1: $$f(x)$$ is a periodic function of period $$\pi$$. Statement 2: $$\cos^3 x$$ is a periodic function.

A

Statement 1 is true, Statement 2 is false.

B

Both the Statements are true, but Statement 2 is not the correct explanation of Statement 1.

C

Both the Statements are true, and Statement 2 is correct explanation of Statement 1.

D

Statement 1 is false, Statement 2 is true.