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Math Help - Use the results of part c to show that B=1

  1. #1
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    Question Use the results of part c to show that B=1


    Do not try to construct, and evaluate, Riemann sums involving ln. This would be far to dicult. Instead use the results you already found
    in part (c), and have another look at the diagram.
    I've already evaluated the limit in part b and found that A=(e-1).

    Could someone please show me how to do part d?
    Last edited by iamanoobatmath; January 8th 2011 at 08:10 AM.
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  2. #2
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    If you were to "rotate" the graph around the line y= x, it would be come the graph of x= ln(y) or y= e^x. And the area under the curve, B, would become the area to the left of graph of y= e^x between y= 0 and y= 1. Can you relate that area to the given limit?
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  3. #3
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    ...confused
    Last edited by iamanoobatmath; January 8th 2011 at 09:27 AM. Reason: ...confused
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  4. #4
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    Quote Originally Posted by HallsofIvy View Post
    If you were to "rotate" the graph around the line y= x, it would be come the graph of x= ln(y) or y= e^x. And the area under the curve, B, would become the area to the left of graph of y= e^x between y= 0 and y= 1. Can you relate that area to the given limit?
    What do you mean to the left of the graph? Do you mean the black area on the graph below?


    Thanks a lot for the help.
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