∫∫R (x^1/2 - y^1/2) dydx

where y=x^2, y= x^1/4, x=0, x=1

im struggling to solve this!! i came up with an answer of 1.5 but i dont think i have done it correct!...could anyone help please?

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- Nov 29th 2007, 12:54 PMstuwyDouble Integration
∫∫R (x^1/2 - y^1/2) dydx

where y=x^2, y= x^1/4, x=0, x=1

im struggling to solve this!! i came up with an answer of 1.5 but i dont think i have done it correct!...could anyone help please?

- Nov 29th 2007, 02:33 PMgalactus

First, integrate wrt y:

Now use the limits of integration for y. By the FTC:

Now, integrate this wrt x:

We get:

Now, use the limits of integration for x, 0 and 1:

We get