View attachment 19186
I've tried to integrate f'(x) by hand but I couldn't do it, I even put it through some integral calculators, but they didn't give me an answer.
See that instruction in capital letters?
This is using a TI-83 Plus:
If you put (*) into "Y =" **, and use "CALCULATE" 7: Integral
f(x)dx, lower limit 2 (ENTER) and upper limit 5 (ENTER), then
it will graph, shade under the curve, and give the
approximate area as 28.605496. ***
(*) the derivative function
** You might set the window as
Xmin = 2
Xmax= 5
Ymin = 0
Ymax = 15
Now, what about that f(2) = 0.4?
Are you going to 1) ignore it, 2) subtract it from ***, or
3) add it to *** to get one of the first three answers?