I need help writing a definite integral that can be approximated by using the sums 2.9999 , 3.03, 2.999, and 3.002 .

I am attaching a picture that shows the first 4 parts of the question if it can be any help in understanding my question. I am not fully confident of my answers I calculated, and maybe that's where this is going wrong, but I am really stuck on the last part that is writing the definite integral.

3. Find the Sums shown below by using your calculator or Excel 10 3 3x 2 a) x=I 10 1+ 10 = 2.9999 10 2 E 3 10 1+ 3(x-1 b) x=1 10 = 3.03 100 3 3x 2 E 1+ c) x=1 100 100 = 2.9999 100 3 2 100 1+ 3(x - 1) d) x=1 100 = 3.0002