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Math Help - another improper integral problem

  1. #1
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    another improper integral problem

     \int \frac{4}{x^\frac{4}{3}}dx [1,infinity]

    lim (\frac{-12}{x^{\frac{1}{3}}})|           [1,b]
    b->infinity

    Did I work this out right correctly so far? If so, I'm not sure how to solve it...
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  2. #2
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    \lim_{b \to \infty} \int_1^{\infty} 4x^{-\frac{4}{3}} \, dx

    \lim_{b \to \infty} \left[-12x^{-\frac{1}{3}}\right]_1^b

    -12 \lim_{b \to \infty} \left[b^{-\frac{1}{3}} - 1^{-\frac{1}{3}}\right] = -12(0 - 1) = 12<br />
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