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Math Help - Improper Integral/Limits

  1. #1
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    Improper Integral/Limits

    I am pretty bad with these two topics, help would be appreciated as I tried for hours.

    from 0 to 1 (dx/x^.4)

    limx0+ (9sin(x)ln(x))
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  2. #2
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    Hello,

    Note that .4=2/5

    So you have \int_0^1 x^{-2/5} dx=[\frac{5}{3} x^{3/5}]_0^1 = \frac{5}{3}

    For the second one, perhaps you can say that when x is near 0, sin(x) ~ x


    And limit of x ln(x) when x tends to 0 is 0.
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  3. #3
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    ohhh Okay, well i got the first one right, i guess the answer in the back was wrong, no wonder i kept getting it wrong.
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