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Math Help - Indefinite and Definite Integral Problems

  1. #1
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    Indefinite and Definite Integral Problems

    Hey everyone, I had trouble with these problems from my homework. I;m doing OK with the more basic integration, but these seem a bit more complicated. Can someone work these out step by step so that I can follow the flow of the problems?

    Thanks.

    S= symbol for integration


    Indefinite:
    1) S(3x^1/2 + e^x - 2/x + 3^1/2 + 2/x^3/2) dx

    2) S((ln x)^3/x)dx

    3) S(x^2/x^3+2^1/2)dx



    definite INtegrals:

    problem 4:
    2
    S(1-1/x +1/x^2) dx
    1

    Problem 5:
    2
    5)S(e^x - 1/x^3/2) dx
    1
    Last edited by 2taall; November 9th 2007 at 09:43 AM.
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  2. #2
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    For 1 I got:
    2x^3/2 + e^x - 2 ln[x] +3^1/2x - 4x^-1/2 + C
    Last edited by 2taall; November 9th 2007 at 10:06 AM.
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  3. #3
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    For 5, I got:

    e^x + 2x^-1/2


    Then plugging in the 1 to 2 on the integration sign I get:

    [e^2 + 2(2)^-1/2] - [e^1 + 2(1)^-1/2]
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  4. #4
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    For 4, I got:

    x - ln[x] - x^-1

    {(2) - ln[2] -(2)^-1} - { (1) - ln[1] -(1)^-1}
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  5. #5
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    For 3,

    1/3S(ln [u])+C

    1/3ln[x^3 +2^1/2] + C
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