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Fundamental THeoreom of Cal

  1. Jan 25, 2005 #1
    Use part I of the Fundamental Theorem of Calculus to find the derivative of

    [tex]\int_x^{3} sin(x^3) dx[/tex]

    F'(x)=_________________ (answer goes here)

    i think i need to integrate the problem first, but it seems impossible. can someone help?
     
  2. jcsd
  3. Jan 25, 2005 #2

    dextercioby

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    Yes...Use the Fundamental Theorem of Calculus...?? :uhh:

    Daniel.
     
  4. Jan 25, 2005 #3
    you need to find the antiderivative of that function, and then do F(3) - F(x) (correct me if im wrong anyone). But yeah, i believe thats what you have to do.
     
  5. Jan 25, 2005 #4

    dextercioby

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    He cannot find the antiderivative among elementary functions...Yet he can solve the exercise without knowing it.

    Daniel.
     
  6. Jan 25, 2005 #5
    yeah well, im usually Being helped instead of Helping others...so...hey i tried
     
  7. Jan 25, 2005 #6

    isnt the "Fundamental Theorem of Calculus" just solving it as a regular integral? that's what i thought it was.
     
  8. Jan 25, 2005 #7

    learningphysics

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    Read your question carefully. What is the question asking you for? I believe that you've misread the question.
     
  9. Jan 25, 2005 #8

    Hurkyl

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    People seem to forget that the fundamental theorem of calculus has two parts...
     
  10. Jan 25, 2005 #9

    Hurkyl

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    By the way, please tell me that you copied the problem down incorrectly and it actually says:

    [tex]\int_x^{3} \sin t^3 \, dt[/tex]

    If not, then bear in mind that your source is using poor notation -- they used the symbol x to represent two very different things.
     
  11. Jan 26, 2005 #10

    sorry, i did copied it down wrong without knowing. your right, it's [tex]\int_x^{3} \sin t^3 \, dt[/tex]


    sorry about the typo
     
  12. Jan 26, 2005 #11

    cepheid

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    Okay...in simplistic terms, what is the FTC saying? I.e. "the derivative of the integral of the function is....?" Answer that, and you have this question. Just review the FTC.
     
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