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1. Prove Fermat's Little Theorem

 Nov 6, 2019
edited by tomsun  Nov 6, 2019
edited by tomsun  Nov 8, 2019
 #1
avatar+1096 
+3

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

 

You are very welcome!

:P

 Nov 6, 2019
 #2
avatar+105238 
+3

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   !!!!

 

cool cool cool

 Nov 6, 2019
 #3
avatar+2482 
+3
 Nov 6, 2019

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