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**[SOLVED] Integrals with Respect to X and Y**

Hey folks, I've been working on this problem for too long.

**1. Homework Statement**

Sketch the area of the region bounded by the curves [tex]y^2+4x=0[/tex] and [tex]y=2x+4[/tex]. Set up two integrals, one with respect to x and one with respect to y, for finding the area of the region. Evaluate one of the integrals to find the area.

**2. Homework Equations**

http://www.mcp-server.com/~lush/shillmud/graph1.5.JPG

I've got it drawn but I just can't get the integrals to match. The question says to only do one but I want to check my answer (and hopefully learn how to set these up). Here are my two latest attempts.

**3. The Attempt at a Solution**

http://www.mcp-server.com/~lush/shillmud/inta1.5.JPG

http://www.mcp-server.com/~lush/shillmud/intb1.5.JPG

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