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Math Help - Improper Integrals

  1. #1
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    Improper Integrals

    I know that I have to take the limit of each of these problems, but I'm not sure exactly how to approach them.

    2) Integral of (x^(-5/4)) dx bounded by 1 (lower) to infiniti (upper)

    3) Integral of (1)/((8-x)^1/3) dx bounded by 0 (lower) to 8 (upper)

    Thanks in advance for the help.
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  2. #2
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    Quote Originally Posted by jake210 View Post
    I know that I have to take the limit of each of these problems, but I'm not sure exactly how to approach them.

    2) Integral of (x^(-5/4)) dx bounded by 1 (lower) to infiniti (upper)

    3) Integral of (1)/((8-x)^1/3) dx bounded by 0 (lower) to 8 (upper)

    Thanks in advance for the help.

    \lim_{b \to \infty} \int_1^b x^{-\frac{5}{4}} \, dx


    \lim_{b \to 8} \int_0^b (8-x)^{-\frac{1}{3}} \, dx

    give them a shot, jake ... they both converge.
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