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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Originally Posted by dmac 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: $\displaystyle \begin{aligned} \frac{2x-5}{x^2+2x+2} &= \frac{2x+2}{x^2+2x+2} - \frac{7}{x^2+2x+1+1}\\ &= \frac{2x+2}{x^2+2x+2} - \frac{7}{(x+1)^2+1} \end{aligned}$ Which are two straightforward integrals.
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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