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Math Help - Integration

  1. #1
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    Integration

    im having problems with these integration problems. I just dont see how to get the answer. I dont have a problem integrating its just i don't see how to make these "look" integrable if you get what i mean: 1. integration of 1/(1+square root of (2x)) dx 2. integration of 1/(x^(2/3) *(1+x^(1/3)) dx 3. integration of (x(x-2)/((x-1)^3) dx . Thanks a lot i appreciate it
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by jarny View Post
    im having problems with these integration problems. I just dont see how to get the answer. I dont have a problem integrating its just i don't see how to make these "look" integrable if you get what i mean: 1. integration of 1/(1+square root of (2x)) dx 2. integration of 1/(x^(2/3) *(1+x^(1/3)) dx 3. integration of (x(x-2)/((x-1)^3) dx . Thanks a lot i appreciate it
    for the first one, set your denominator to another variable and do your substitution rule..

    for the second one, set u = 1 = x^{1/3}..

    for the third one,
    \int \frac{x(x-2)}{(x-1)^3} = \int \frac{x^2-2x}{(x-1)^3} = \int \frac{x^2-2x + 1 - 1}{(x-1)^3}

    \int \frac{(x-1)^2 - 1}{(x-1)^3} and you can separate them..
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  3. #3
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    thanks alot
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