How Many Times Do I Need To Integrate?

Calculus Level 5

0π2cosn(θ)dθ\large{\int_{0}^{\frac{\pi}{2}} \cos^n (\theta) \, d\theta}

Find the value of the definite integral above, given that nn is an even positive integer.

Notation: (MN) \dbinom MN denotes the binomial coefficient, (MN)=M!N!(MN)! \dbinom MN = \dfrac{M!}{N!(M-N)!} .

×

Problem Loading...

Note Loading...

Set Loading...