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January 25, 2015

January 25, 2015

Posted by **janki** on Friday, April 20, 2012 at 8:29pm.

Find the area of the region by

integrating with respect to x.

Find the area of the region by integrating with respect to y.

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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 10:33pmYour intersection points are correct

Method1:

the effective height of a slice = 6-x - x^2

area = ∫ (6-x - 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

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