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Math Help - Double intergration problem

  1. #1
    Member Ranger SVO's Avatar
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    Double intergration problem

    Can somebody tell me what I did wrong.

    The top problem is what I was given, I am sopposed to change the order of intergration.



    The two double intergrations are not the same, where did I mess up?
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  2. #2
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    Look at the beautiful hand drawing below.

    We will consider this as a region of the II type.
    We find the left and right curves.
    Left curve is,
    x=\ln y
    The right curve is,
    x=3
    The bottom curve is,
    y=1
    The top curve is,
    y=e^3
    Thus,
    \int_1^{e^3} \int_{\ln y}^3 2 dx dy
    Attached Thumbnails Attached Thumbnails Double intergration problem-picture5.gif  
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  3. #3
    Member Ranger SVO's Avatar
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    As usual I thank you for taking the time to help, lets see if I got it.



    Now, if I got it wrong, please use the same explination as the previous one. With the left, right, bottom and top curve.

    Anyway, again I thank you for your time
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  4. #4
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    You got it correct!!

    What are you learning now? Calculus III?
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  5. #5
    Member Ranger SVO's Avatar
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    Yes, Calculus III. And it has been a challenge. But so far I am doing OK.

    Being a 47-year old college student means that information doesnt soak in as fast as it might have 30-years ago. I'm a Mathematics/Education Major

    Again I Thank You.
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