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Math Help - Calculate F'(x)

  1. #1
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    Calculate F'(x)

    F(x) = \int _1\,^x\! sin\pi t  dt

    I know that F'(x) = f(x), but what is f(x) here? do I just sub x into sin\pi t  ?
    Last edited by 450081592; January 12th 2010 at 05:43 PM.
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  2. #2
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    Your writting is quite hard to read, better you to improve it.

    Besides, it's a simple application of the FTC.
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  3. #3
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    Quote Originally Posted by 450081592 View Post
    F(x) = \int _1^x \sin{\pi t} \, dt

    I know that F'(x) = f(x), but what is f(x) here? do I just sub x into \sin{\pi t}  ?


    fixed latex ...
    yes ...

    if F(x) = \int_a^x f(t) \, dt , then F'(x) = f(x)
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  4. #4
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    Quote Originally Posted by skeeter View Post
    yes ...

    if F(x) = \int_a^x f(t) \, dt , then F'(x) = f(x)

    Ya Ibut where is f(x) here? is it sin\pi x  ?
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  5. #5
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    Quote Originally Posted by 450081592 View Post
    Ya Ibut where is f(x) here? is it sin\pi x ?
    Please read post #3 again. Do you see what f(t) is? Do you know how to replace t with x to get f(x)?
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