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Math Help - Applications of the fundamental theorem of calculus

  1. #1
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    Applications of the fundamental theorem of calculus

    What would be some, for lack of better wording, 'real life' applications of the fundamental theorem of calculus?

    While having a discussion with a classmate of mine he said that we can use the theorem ''to solve area problems that we will only encounter in proposed "Real Life" problems, which are never based on anything in anyone's real life, except for nerdy Calculus book authors''

    I know that's not true, but I am having trouble coming up with any applications.
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  2. #2
    Super Member Bacterius's Avatar
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    Here is a nice one :

    The derivative of speed/time is acceleration.
    The integral of speed/time is distance.

    How useful is that in [motor] races or anything else in real life ?
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  3. #3
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    Quote Originally Posted by Bacterius View Post
    Here is a nice one :

    The derivative of speed/time is acceleration.
    The integral of speed/time is distance.

    How useful is that in [motor] races or anything else in real life ?
    Thank you. This was quite helpful.
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