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Math Help - Integration Question

  1. #1
    Newbie crv93's Avatar
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    Integration Question

    How do I integrate R'(x)= 11-x/√(14-x)?

    Thank you.
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  2. #2
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    Re: Integration Question

    Let t=sqrt(14-x)
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  3. #3
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    Re: Integration Question

    Quote Originally Posted by crv93 View Post
    How do I integrate R'(x)= 11-x/√(14-x)?

    Thank you.
    Some brackets to avoid ambiguity would be nice. Is it \displaystyle \begin{align*} 11 - \frac{x}{\sqrt{14-x}} \end{align*} or \displaystyle \begin{align*} \frac{11 - x}{\sqrt{14-x}} \end{align*}?
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    Re: Integration Question

    I would prefer to make substitution for 14-x = t Thus dx = - dt and x = 14-t
    The integral becomes
    = Integral ( 3-t)/sqrt t dt which can be easily integrated
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  5. #5
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    Re: Integration Question

    Quote Originally Posted by ibdutt View Post
    I would prefer to make substitution for 14-x = t Thus dx = - dt and x = 14-t
    The integral becomes
    = Integral ( 3-t)/sqrt t dt which can be easily integrated
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