Anti Derivative of a fraction

  • Thread starter mathdum
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  • #1
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Main Question or Discussion Point

Find the area of the region under the graph of the function f on the interval [5, 10].
F(x) = 9/x
 

Answers and Replies

  • #2
726
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When you say that F(x) = 9/x, do you mean that F'(x) = f(x) where f(x) is the function whose area under its curve you want to calculate? Or did you mistakenly capitalize "f"?
 
  • #3
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Well, my problem just says F(x). Other problems have F'(x), However, this one does not. Hmm...
 
  • #4
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Well, my problem just says F(x). Other problems have F'(x), However, this one does not. Hmm...
Usually capitalized notation means that it is the anti-derivative. This means you should evaluate F from the given bounds. Do you know how to do this?
 
  • #5
mathman
Science Advisor
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Find the area of the region under the graph of the function f on the interval [5, 10].
F(x) = 9/x
Try to be precise in the relationship between F(x) and f(x).
 
  • #6
2,544
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9ln|x| + c
 

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