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## Homework Statement

Given [tex]\int_{0}^{k\pi} cos^{2m}(\theta) d\theta = A [/tex]

Express [tex]\int_{0}^{k\pi} cos^{2m}(\theta) cos(2\theta) [/tex] in terms of A.

Totally Stucked .. :X

I've substituted [tex]cos^{2}\theta = \frac{1+cos(2\theta)}{2}[/tex]

Then i get 1/2 A + another chunck of integral.

I've used integration by parts to tackle the chunck.

such that i integrate the [tex]cos(2\theta)[/tex].

I've gotten pretty good simplification but i think i've made some mistakes here a there.

## Homework Equations

## The Attempt at a Solution

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