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Math Help - multiple integrals 2

  1. #1
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    multiple integrals 2

    find the areas lying between the curves y=lnx and y=ln x^2 and the line x=e in the first quadrant using multiple integrals

    can yu tell me the answer of the problem

    i have taken the limits of integration as 0<=x<=e and ln x<=y<=2lnx

    is it right or wrong
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: multiple integrals 2

    Quote Originally Posted by prasum View Post
    find the areas lying between the curves y=lnx and y=ln x^2 and the line x=e in the first quadrant using multiple integrals i have taken the limits of integration as 0<=x<=e and ln x<=y<=2lnx is it right or wrong
    It should be (first quadrant): A=\displaystyle\iint_Ddxdy=\int_1^edx\int_{\ln x}^{2\ln x}dy=\ldots
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