Monday

October 20, 2014

October 20, 2014

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.

------------------------------------

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

**Answer this Question**

**Related Questions**

mathematics - find the area of the region between the curve y = 3-x^2 and the ...

Calc - y = x^2 y = 6 - x Find the area of the region by integrating (a) with ...

Calc - y = x^2 y = 6 - x Find the area of the region by integrating (a) with ...

calculus - set up sums of integrals that can be used to find the area of the ...

calculus - the region enclosed by 2y=5xy=5 and 2y+3x=8. Decide whether to ...

math - Sketch the region enclosed by the given curves. Decide whether to ...

Calculus - Sketch the region enclosed by the given curves. Decide whether to ...

Calculus 2 - Sketch the region enclosed by y=e^2x, y=e^6x, and x=1. Decide ...

calculus - Sketch the region enclosed by x+y^2=42 and x+y=0. Decide whether to ...

Calculus Area between curves - Sketch the region enclosed by the given curves. ...