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Math Help - Evaluation of improper double integrals

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    Evaluation of improper double integrals

    How do I evaluate the improper double integral of 1/x-y dy dx where 0=<x<=1 and 0=<y<=x?
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    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by vpapandr View Post
    How do I evaluate the improper double integral of 1/x-y dy dx where 0=<x<=1 and 0=<y<=x?
    \int_0^1\int_0^x\frac{dy}{x-y}dx

    This integral is divergent, to show this just show that

    \lim_{\varphi\to{x^-}}\int_0^{\varphi}\frac{dy}{x-y} diverges to infinity.
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