Question

Apply Simpson's Rule with `n=4` to approximate the integral below?

`\int_0^(\pi/2)\root(3)(1+\cos(x))dx`

I added my own answer if you want to check the work I have so far.

Answer 1

Unfinished

Explanation:

`\Deltax=(b-a)/n=(\pi/2-0)/4=1/4*\pi/2=\pi/8`
`S_4=1/3(\pi/8)[\root(3)(1+\cos(0))+4(\root(3)(1+\cos(\pi/8)))+2(\root(3)(1+\cos(\pi/4)))+4(\root(3)(1+\cos((3\pi)/8)))+\root(3)(1+\cos(\pi/2))`
`= ...?`