SOLUTION: Find the area enclosed by the curves y = x² - 3x + 2 and y = - x² + 3x + 2.

Algebra ->  Test -> SOLUTION: Find the area enclosed by the curves y = x² - 3x + 2 and y = - x² + 3x + 2.      Log On


   

Question 1145735: Find the area enclosed by the curves y = x² - 3x + 2 and y = - x² + 3x + 2.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


We are only interested in the domain interval between the two points of intersection of the two curves. See Figure.



So





So the two curves intersect at and

The area under is given by



from this area we need to subtract the area under or



Which is to say:



But applying linearity gives us:





You can do the arithmetic.


John

My calculator said it, I believe it, that settles it