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Math Help - [SOLVED] Integral with complex roots

  1. #1
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    [SOLVED] Integral with complex roots

    I have the following integral

    \int\frac{4x+7}{x^2+6x+14}

    Now I know there is a "trick" to finding part of the denominator as long as the roots are negative. You just take 1/2 of B^2.

    So in this example it would be (x+3)^2. But I also know that you need to tack a +5 to the end. How was this +5 found, is there some kind of trick?
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  2. #2
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    Never mind I got it. You just take the new b and square that value. then subtract it from the original c. So before +14 for c. and the new b was 3 so s^2 is 9 and 14 - 9 = 5.
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