Question

Integrate: ∫(cos(t))^2dt
Integrate: ∫(cos(t))^2dt
@Mathematics

Answer 1

\( \cos 2x = \cos^2 x - \sin^2 x\) and therefore \( \cos 2x = 2 \cos^2 x - 1 \)

Now you can rewrite the integrand in terms of functions you can integrate.

Answer 2

I was trying to use reverse chain rule and integrate (u)^2 then integrate the inside cosine

Answer 3

Well, you could use integration by parts twice. But doing what I'm suggesting is a bit shorter.

Answer 4

Ah yea, ok

Answer 5

Thanks