(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Sketch the region bounded by y = x^2 and y = 4. This region is divided into two sub regions of equal area by a line y = c. Find c.

2. Relevant equations

3. The attempt at a solution

I try to integrate from 0 to a point c and make it equate to from integrating c to 4 like this:

[tex]

\int_{0}^{c} [(\sqrt{y})-(-\sqrt{y})]dy = \int_{c}^{4} [(\sqrt{y})-(-\sqrt{y})]dy

[/tex]

But after I simplify the c disappears.. is this wrong?

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# Homework Help: Finding area with integration and arbitrary line

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