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Consider the integral:

[tex] \int_R x^2 + y^2 dA [/tex]

with the two graphs 2x-y = 0 and [tex] x^2 [/tex] - y = 0

therefore y = [tex] x^2 [/tex] and y = 2x are the two functions

and the point of intersection is at (0,0) and (2,4)

therefore

[tex] \int { \int x^2 + y^2 dx } dy [/tex]

(a - is top point of the integral and b - is the bottom)

therfor the domain for the first integral (dx) is b = y/2 and a = [tex] y^1^/^2 [/tex]

and for the second integral (dy) is b= 0 and a = 4

but when i switch the order to """"" dy dx.... i get a different #.

therefore my new a,b for the integrals are

for the first integral (dy) b = [tex] x^2 [/tex] a = 2x

for the second integral (dx) b = 0 a = 2

is my change of order correct or did i do somthing wrong??

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# Homework Help: Integration + change of order

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