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Math Help - Finding the equation of the curve

  1. #1
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    Finding the equation of the curve

    Hello everyone,
    Here is a question ive been trying to solve for hours.
    Id really appreciate your help.

    * A curve passes through the point (25,3) and is such that dy/dx=1/2√x.
    Find the equation of the curve

    Thank you in advance,

    Rob
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  2. #2
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    Quote Originally Posted by Oasis1993 View Post
    Hello everyone,
    Here is a question ive been trying to solve for hours.
    Id really appreciate your help.

    * A curve passes through the point (25,3) and is such that dy/dx=1/2√x.
    Find the equation of the curve

    Thank you in advance,

    Rob
    \frac{dy}{dx}=\frac{1}{2}\sqrt{x}

    Integrate this :

    y=\int{\frac{1}{2}\sqrt{x}}

    Then substitute 25 into x and 3 into y to find the constant .
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  3. #3
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    Quote Originally Posted by mathaddict View Post
    \frac{dy}{dx}=\frac{1}{2}\sqrt{x}

    Integrate this :

    y=\int{\frac{1}{2}\sqrt{x}}

    Then substitute 25 into x and 3 into y to find the constant .
    could you please integrate it for me?

    I have big trouble integrating numbers which have a square root.
    Last edited by mr fantastic; September 13th 2009 at 04:28 AM. Reason: Merged posts
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  4. #4
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    Quote Originally Posted by Oasis1993 View Post
    could you please integrate it for me?

    First of all , bring the constant out .

    Then if you integrate x^{\frac{1}{2}} , it becomes

    \frac{x^{\frac{1}{2}+1}}{\frac{1}{2}+1}

    Then don forget the plus c .. since its an indefinite integral
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  5. #5
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    Quote Originally Posted by Oasis1993 View Post
    I have big trouble integrating numbers which have a square root.
    You're expected to realise that \sqrt{x} = x^{1/2} and then use the usual rule for integrating x^n.
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