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Homework Help: Finding Integralsany help please!

  1. Sep 14, 2013 #1
    Hi, can anyone help please as I'm getting tied up in knots...

    1. The problem statement, all variables and given/known data

    Integrate (5x^2 + √x - 4/x^2) dx

    2. Relevant equations

    I think this is differentiating by parts...

    3. The attempt at a solution

    So far I've got to: 5x^3 / 3 + 2x^3/2 / 3 + 4 / x +c

    I can't think how I can make it any tidier so any tips would be really appreciated!
  2. jcsd
  3. Sep 14, 2013 #2


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    Two questions for you:

    (1) What is:
    [tex]\int( f(x) + g(x)) dx[/tex]
    (2) What is:
    [tex]\int x^k dx[/tex]
  4. Sep 14, 2013 #3


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    Homework Helper

    Question (3): What is 'differentiating by parts'?
  5. Sep 14, 2013 #4

    Ray Vickson

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    Because you do not use parentheses, I cannot figure out whether you mean
    [tex] (1) \; \int \left(5 x^2 + \sqrt{x} - \frac{4}{x^2} \right) \, dx \leftarrow \text{ what you wrote}[/tex]
    [tex] (2) \; \int \left( 5 x^2 + \sqrt{x - \frac{4}{x^2}} \right) \, dx [/tex]
    [tex] (3) \;\int \left(5 x^2 - \frac{ \sqrt{x-4}}{x^2} \right)\, dx [/tex]
    [tex] (4) \;\int \left(5 x^2 - \sqrt{ \frac{x-4}{x^2} } \right)\, dx [/tex]
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