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Math Help - Area between 2 curves, just need someone to check my work.

  1. #1
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    Area between 2 curves, just need someone to check my work.

    Alright so the problem:

    Find the reigon in the xy plane that is bounded by the curves:

    x = y^2
    and
    2y + x = 3


    quickly solving for the y coordinates of intersection, i get
    y = -3 and 1

    so using horizontal components i got:

    \int^{1}_{-3} 3-2y - y^2

    and then integrating and quickly solving i get 32/3 as a final answer
    do the steps seem alright or have i made a mistake somewhere?

    Many thanks
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  2. #2
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    Smile

    I obtained the same integral and the same result 32/3. All is ok
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