SOLUTION: Find the area bounded by y=x^2 and y=x.

Algebra ->  Surface-area -> SOLUTION: Find the area bounded by y=x^2 and y=x.      Log On


   

Question 1073684: Find the area bounded by y=x^2 and y=x.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
                                                                 |1            |1
= integral from 0 to 1 of the difference (x -x^2)*dx = (1/2)*x^2 |  - (1/3)*x^2|   
                                                                 |0            |0

= 1%2F2+-+1%2F3 = 1%2F6.


Answer.  1%2F6.