crm08
- 28
- 0
Homework Statement
\int^{\pi}_{0}(cos(x))^{6}dx
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:
\int^{\pi}_{0}((cos(x))^{2})^{3} = \int^{\pi}_{0}[(1/2)(1+cos(2x))]^{3}
Any suggestion?