What is the Formula for Calculating Surface Area of z=x^{2}+2y in a Given Range?

amolv06
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I need to find the surface area of z=x^{2}+2y where 0\leqx\leq1 and 0\leqy\leq1. I figured it's like trying any other surface area problem, but I think I'm misunderstanding how to set up this problem. Here is what I tried:

\int^{1}_{0}\int^{1}_{0}\sqrt{2x+3}dydx = \frac{5\sqrt{5}}{3}-\sqrt{3}

However, my textbook says the correct answer is (3/2) + (5/8)ln[5]. Any help on where I went wrong would be appreciated.
 
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Heh, never mind, I seem to have made a dumb mistake. I forgot to square my partial derivatives.
 
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