help!

I'll give you a hint for #2: this becomes \(\int_8^9x^2\).

You are very welcome!

:P

9                                  9

∫   2x    dx      =     x^2 ]      =     9^2  - 8^2   =    17

8                                 8

BTW....the "snake monster "   is known  as the "integral" sign   .....LOL!!!

Essentially.....we are evaluating the area between the line y  = 2x   and the x axis  from x = 8 to x = 9

This  is  a  trapezoid  with a height of  1...one base  = 16   and the other  = 18

So.....the area  becomes

(1/2)(height) (sum of the bases)  =

(1/2) (1) (16 + 18) =

(1/2) (34)  =

17.....just as we found with Calculus   !!!!

1. Explore to your heart's content.

https://en.wikipedia.org/wiki/Proofs_of_Fermat%27s_little_theorem