∫∫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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First, integrate wrt y:
Now use the limits of integration for y. By the FTC:
Now, integrate this wrt x:
Now, use the limits of integration for x, 0 and 1:
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