Hi, guys. I'm working on a take-home test for my Calculus 1 class.

The first part of the problem was

"Find the area under f(x)=2x^2-x from 1 to 2 using the definite integral (not FTC)."

I ended up with 18/6.

However, for the second part of the problem, "Compute the definite integral from 1 to 2 (using the antiderivative squiggle) (2x^2-x)dx using the Fudamental Theorem of Caluclus," I got 33/6.

I feel like I probably did the FTC part correctly because it is much less complicated.

But, if you think I'm wrong, please let me know, and show me what I should do!

I'm attatching files showing the work I did since it's far too complex to type.

I understand it might be a little difficult to read, but I just hope you can get the just of what I did