
William W. answered 01/23/20
Experienced Tutor and Retired Engineer
does not have a regular anti-derivative. It is said to be non-elementary in that there are no standard techniques that will work to find the anti-derivative. There are no standard functions that can be used.
So, that leaves using numerical integration to get this answer. You can use you TI-84 and just type it in to get an answer. I did this and got 2.9253035. If you want to do a Riemann Sum you can give it a shot. Here are a few of the answers I got (BTW, using Excel makes this easy):
LRS or RRS using 8 subdivisions = 2.981
LRS or RRS using 20 subdivisions = 2.934
LRS or RRS using 100 subdivisions = 2.9257
LRS or RRS using 200 subdivisions = 2.925394