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C3 Integration watch

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    I'm trying to find the shaded area enclosed by y = lnx, y =1, y=3 and the y-axis

    Answer in terms of e.

    Help please...?? :confused:

    I'd prefer the method by the way, I'd like to get the answer myself, otherwise I won't understand, thanks
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    You want to turn this into some sort of integral wrt y. At the moment you have a function of x.

    Bigger hint:
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    What would you do if I asked you to work out\[

\int\limits_1^3 {e^y dy} 

\]

?
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    (Original post by PindropSilence)
    I'm trying to find the shaded area enclosed by y = lnx, y =1, y=3 and the y-axis

    Answer in terms of e.

    Help please...?? :confused:

    I'd prefer the method by the way, I'd like to get the answer myself, otherwise I won't understand, thanks
    First things first. Sketch the three lines so you know what your looking for. Then you should see an integral forming between two limits.
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    (Original post by The Muon)
    First things first. Sketch the three lines so you know what your looking for. Then you should see an integral forming between two limits.
    Ohh yes,

    Thanks guys, = e^3-e... or e(e^2-1)
 
 
 
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Updated: January 28, 2009

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