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Math Help - Find the Area of the Region

  1. #1
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    Exclamation Find the Area of the Region

    Decide whether to integrate with respect to x or y. Then find the area of the region.
    y=2x, y=4x^2

    Not really sure how to begin this problem.
    Any help is appreciated.
    Thank you
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  2. #2
    Eater of Worlds
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    You could do either.

    wrt x: \int_{0}^{\frac{1}{2}}[2x-4x^{2}]dx

    wrt y: \int_{0}^{1}[\sqrt{\frac{y}{4}}-\frac{y}{2}]dy

    I believe x is easier.
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  3. #3
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    Thank you!

    the answer was 0.0833333...
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  4. #4
    Eater of Worlds
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    Yes, very good. Except write 1/12 instead. Looks better.
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