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Math Help - Please help!

  1. #1
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    Please help!

    hello
    i am really having trouble with this question.
    Can anyone help??

    Find the are of the region shadded in the diagram.

    the equation of the curve is y=6x^2

    Thank you in advance.
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  2. #2
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    Quote Originally Posted by Oasis1993 View Post
    Find the are of the region shadded in the diagram.

    the equation of the curve is y=6x^2
    A = \int_0^5 150 - 6x^2 \, dx
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  3. #3
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    thank you,
    but i couldnt understand?
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  4. #4
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    Quote Originally Posted by Oasis1993 View Post
    thank you,
    but i couldnt understand?
    Calculate the area under the curve (standard integration) and subtract that from the rectangular area defined by the limits.
    at x=0, y=0; and at x=5, y=150.
    Area of rectangle: 5x150 = 750
    Now subtract the area under the curve.
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  5. #5
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    Quote Originally Posted by Oasis1993 View Post
    thank you,
    but i couldnt understand?
    I assume that you know that the area between two functions is

    \int_a^b f(x) - g(x) \, dx , where f(x) > g(x)

    for your sketch, f(x) is the constant function y = 150 and g(x) = 6x^2
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  6. #6
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    Quote Originally Posted by Oasis1993 View Post
    thank you,
    but i couldnt understand?
    Calculate the area under the curve (standard integration) and subtract that from the rectangular area defined by the limits.
    at x=0, y=0;
    at x=5, y=150.
    Area of rectangle: 5x150 = 750
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  7. #7
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    Thank you all for your help!
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