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Math Help - Improper integrals again:

  1. #1
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    Improper integrals again:

    Determine whether the improper integral is convergent or divergent:
    is this Improp int of Mixed type?
    \int_{0}^{+\infty} \frac{e^{-\sqrt{x}}}{\sqrt{x}}

    i did it this way:
    \lim_{t\to 0} \int_{t}^{1} \frac{e^{-\sqrt{x}}}{\sqrt{x}} +  \lim_{b \to +\infty} \int_{1}^{b} \frac{e^{-\sqrt{x}}}{\sqrt{x}}

    then evaluated it....

    just checking if what i did is right
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    Determine whether the improper integral is convergent or divergent:
    is this Improp int of Mixed type?
    \int_{0}^{+\infty} \frac{e^{-\sqrt{x}}}{\sqrt{x}}

    i did it this way:
    \lim_{t\to 0} \int_{t}^{1} \frac{e^{-\sqrt{x}}}{\sqrt{x}} +  \lim_{b \to +\infty} \int_{1}^{b} \frac{e^{-\sqrt{x}}}{\sqrt{x}}

    then evaluated it....

    just checking if what i did is right
    i see no problem with that
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