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Math Help - A few integrals..

  1. #1
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    A few integrals..

    A few integrals..-prob2.png
    A few integrals..-pron1.png

    I cannot figure these two out. If you could solve them, show me some work, and tell me which method you used to solve them, it would be greatly appreciated.
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  2. #2
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    Better yet, YOU show some work so that we know you have at least attempted them.

    The first you will need to long divide, then use Partial Fractions.

    The second you will need to use Partial Fractions.
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  3. #3
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    On the first i used long division, but I get stuck after that. How do I intergrate (7x+13)/(x^2+3x+2) How do I break that up into partial fractions? And I have no idea how to break the 2nd into partial fractions either.
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  4. #4
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    Start by factorising each denominator.
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  5. #5
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    Thanks bud. I got it now. I kepy trying to figure out how x^2+3x+2 would factor...for some reason I didn't see you could use (x+1)(x+2). But...it is 2:30AM...
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  6. #6
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    Quote Originally Posted by Bracketology View Post
    [snip]
    \displaystyle \int \frac{x + 4}{x^2 + 8x} \, dx =

    [snip]
    This is best done using the substitution u = x^2 + 8x. If you need more help, please show your work and say where yuo get stuck.
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