Hi, how do I integrate cos^3(x)?

I split it into cos(x)[1/2(1+cos(2x)] and then removed the constant of a 1/2 from the integration. Then I mutilpied through by cos(x) and got cos(x)+cos^2(2x), which didn't really help.

Then I split cos^3(x) into cos(x).cos^2(x) tried substituting cos^2(x) with 1-sin^2(x) and that didn't help either.

What am I missing?

Thank you.