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Irritating simple multiple integral question

OK, so I have this multiple integral coursework question in front of me, which is as follows:

a) Sketch the region R enclosed by the parabola y = x^2 and the line y = x+2.

b) Evaluate the area A of this region by performing the following integration: A = SS dA = SS dx dy (where SS = double integral sign -sorry I forgot how to use Latex as its been ages since I last posted here!)

c)Reverse the order of integration and re-evaluate the area A to confirm the result obtained is exactly the same as the result obtained in b).


a) is easy obviously, and c) is easy too but it is part b) I have trouble with. What I want to know is, from the two equations given, how do I get a quadratic which has both x and y in it without eliminating either x or y, so I can integrate wrt to both x and y? I would be very grateful for any pointers in the right direction. Cheers!

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