Hello,

I've been searching through my book and all over to try to find out how to do this, I feel like there is some easy way I'm just forgetting so I'm hoping someone can help me

Lets say I'm given the following integral:

(First time using LaTex)

And I need to find the approximation of the area using Simpson's Rule.

I can do all that fine but then the problem comes when finding the error.

I know the error's formula and all but how do I find the value of K, where K is the maximum value the function reaches over a given range [0,1]?

What methods do we have to find the value of K (over the specified range), especially when it comes to more complicated integrals? My professor never really went over that and I'm just having a tough time getting the questions done.

Thanks!