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Math Help - Another integral

  1. #1
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    Another integral

    mmk so heres a indefinite integral. (2x-5)/(x^2+2x+2) I know I need to complete the square but im not sure as to what I do from there
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  2. #2
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    Quote Originally Posted by dmac View Post
    mmk so heres a indefinite integral. (2x-5)/(x^2+2x+2) I know I need to complete the square but im not sure as to what I do from there
    By simple algebraic manipulations:
    \begin{aligned}<br />
\frac{2x-5}{x^2+2x+2} &= \frac{2x+2}{x^2+2x+2} - \frac{7}{x^2+2x+1+1}\\<br />
&= \frac{2x+2}{x^2+2x+2} - \frac{7}{(x+1)^2+1}<br />
\end{aligned}

    Which are two straightforward integrals.
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  3. #3
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    thank you very much that helps so much! Its just hard to see that. guess I need to practice more! tyvm
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