I am not getting the correct answer for this so I'm sure I'm messing up some arithmetic or missing a step. Any help would be appreciated.

Use Simpson's Approx. for:

Plugging in 0,.1,.2,...,.9,1 into the function I get

This equals roughly 1.11585

However, when I evaluate the integral

I end up with 1.14915. Where is the discrepancy coming from? Thanks for the help!