Posted by janki on Friday, April 20, 2012 at 8:29pm.
y=6x y=x^2
Find the area of the region by
integrating with respect to x.
Find the area of the region by integrating with respect to y.

i got the intersection pts to be(3,9)and (2,4)....i then took the integral and found the answer to be 20.8333 for both parts...HOWEVER...its wrong! please help!

Calculus AB  Reiny, Friday, April 20, 2012 at 10:33pm
Your intersection points are correct
Method1:
the effective height of a slice = 6x  x^2
area = ∫ (6x  x^2) dx from x = 3 to 2
= [6x  x^2/2  x^3/3] from 3 to 2
= 12  2  8/3  (18 9/2  (27/3) )
= 10  8/3 + 9 + 9/2
= 19 + 11/6
= 20 5/6 or 125/6 , so you were right