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Math Help - Integration word problem

  1. #1
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    Integration word problem

    I need to find the number b such that the line y=b divides the region bounded by the curves y=x^2 and y=4 evenly. I know it will be larger than 2 obviously, however I can't seem to figure out how to approach the problem. Any help would be much appreciated.
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  2. #2
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    since the graph is symmetrical over the y-axis, work in quad I

    determine the area, A = \int_0^4 \sqrt{y} \, dy

    now, set \frac{A}{2} = \int_0^b \sqrt{y} \, dy and solve for b.
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  3. #3
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    Thanks

    4^(2/3)
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