Area between curves (1 Viewer)

[Drewk]

http://snag.gy/9ooiP.jpg
With the question above i tried to use integration from 0 to 1 then multplied by 2
But i dont get 2/3 units ??
Please help

 

[Nws m8]

Edit: it is 0 to 1 for (x-1)^2

It could also be -1 to 0 for (x+1)^2

 

[Drongoski]

Required area is:

 

[Drewk]

Why have u only integrated one of the functions i thought we have to take both functions and go TOP-BOTTOM etc.
Thanks

 

[Nws m8]

Why have u only integrated one of the functions i thought we have to take both functions and go TOP-BOTTOM etc.
Thanks

By symmetry we know the two regions have the same area, so we can just find one area using any equation with CORRECT limits and times it by 2

 

[iSplicer]

By symmetry we know the two regions have the same area, so we can just find one area using any equation with CORRECT limits and times it by 2

Make sure you actaully use the symmetry argument in the exam to ensure full marks!!