#multivariable calculus double integral.

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tranquil latch
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Hello, I have been struggling with this question and I’m not sure how to solve it exactly. Would it be possible for someone to guide me through it?

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latent ibex
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well you can 1st of all take the inside integral

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of x+y

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treating y as a constant like in partials

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so integral of x+y for x is x^2/2+xy

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in the range of x=[1,sqrt4-y] we get

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4-y/2+ysqrt(4-y)-1/2-y