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Math Help - Find the area enclosed by the graph.

  1. #1
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    Find the area enclosed by the graph.

    Can't seem to be able to solve the below problem and I don't have any solved examples in my text books.




    (a) Explain why the graph of the function Find the area enclosed by the graph.-math_image.gif lies below the x-axis for 2 < x < 3 and above the x-axis for 3 < x < 5.


    (b) Use this fact to find the area enclosed by the graph and the x-axis
    between x = 2 and x = 5, giving your answer to four decimal places
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  2. #2
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    Re: Find the area enclosed by the graph.

    In part a), what happens when x = 3?
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  3. #3
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    Re: Find the area enclosed by the graph.

    Quote Originally Posted by Prove It View Post
    In part a), what happens when x = 3?

    f(x) = 0
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  4. #4
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    Re: Find the area enclosed by the graph.

    It finally clicked, lol. So I try some values in the intervals to see which are positive and which are negative
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  5. #5
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    Re: Find the area enclosed by the graph.

    You should not need to "try some values":you should know, from the definition of "logarithm", that ln(x) is negative for 0< x< 1, positive for x> 1.
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