Find the exact area of the region between the curve and the x=axis, over the interval [-1, 2]

My Work:

Hows my answer look here?

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- April 27th 2008, 04:02 PMR3ap3rFind the area
Find the exact area of the region between the curve and the x=axis, over the interval [-1, 2]

My Work:

Hows my answer look here? - April 27th 2008, 04:03 PMicemanfan
- April 27th 2008, 04:09 PMicemanfan
Yeah, the root x = 0 is going to cause you problems. Let . Then you want to integrate and separately, and add the absolute values of the answers.

- April 27th 2008, 04:32 PMR3ap3r
so you saying mines wrong then?

- April 27th 2008, 04:40 PMTheEmptySet
Yes look at the graphs below

Attachment 6080

Attachment 6081

we need to break it up into two integrals

The minus sign is because the area is below the x axis.

I hope this clears it up. - April 27th 2008, 06:18 PMR3ap3r
I c. how do you show your working for that exactly?

- April 27th 2008, 06:23 PMMathstud28
State that the curve is less than 0 on [-1,0] and greater than 0 on [0,2] then state that to get the area of a curve when it is below the x-axis you must take the opposite of it...evaluate the integrals..add and poof! you have the answer

- April 27th 2008, 06:50 PMR3ap3r
what I meant to say was what did you get as your answer for it emptyset? does it differ a lot from my own?

- April 27th 2008, 06:56 PMMathstud28
- April 27th 2008, 06:59 PMR3ap3r
so where exactly did i go wrong in my first post?

- April 27th 2008, 07:02 PMMathstud28