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Math Help - Check these for me?

  1. #1
    Member
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    Check these for me?

    1) Find area between the curves of y = 2x and y = x^2 -4x
    I got 36


    2) Find area between the curves of x^2 and x
    I got 1/6

    Am I right?
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  2. #2
    Senior Member
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    Thumbs up

    Quote Originally Posted by Morgan82 View Post
    1) Find area between the curves of y = 2x and y = x^2 -4x
    I got 36


    2) Find area between the curves of x^2 and x
    I got 1/6

    Am I right?
    both are correct
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  3. #3
    Member integral's Avatar
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    I got 36 on the first one, but the second I got 2/3

    \int_{0}^{2}2xdx-\int_{0}^{2}x^2dx=\frac{2}{3}
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  4. #4
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by integral View Post
    I got 36 on the first one, but the second I got 2/3

    A_R=\int_0^1(x-x^2)dx=(\frac{x^2}{2}-\frac{x^3}{3})|_0^1=\frac{1}{2}-\frac{1}{3}=\frac{1}{6}
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