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## Homework Statement

[tex]\int^{\pi}_{0}(cos(x))^{6}dx[/tex]

## Homework Equations

* Half-Angle => (cos(x))^{2} = (1/2)(1 + cos(2x))

## The Attempt at a Solution

We just started this chapter today and during lecture the only example of this form (even powers/cosine) was (cos(x))^{2}, which only requires integrating the Half-Angle Formula. The way I approached this problem looks like it's taking me towards pretty big mess:

[tex]\int^{\pi}_{0}((cos(x))^{2})^{3}[/tex] = [tex]\int^{\pi}_{0}[(1/2)(1+cos(2x))]^{3}[/tex]

Any suggestion?