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Math Help - Urgent help :<

  1. #1
    Junior Member Lonehwolf's Avatar
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    Urgent help :<

    How to solve

    integration of { 1/*root*(x^2+2x+2) } dx
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  2. #2
    o_O
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    Complete the square to get: \int \frac{1}{\sqrt{x^2+2x+2}} \ dx \ = \ \int \frac{1}{\sqrt{\left(x+1\right)^2 +1}} \ dx

    With a u-sub, recognize: \int \frac{1}{\sqrt{u^2 + a^2}} \ du = \text{sinh}^{-1} \left(\frac{u}{a}\right) + C
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  3. #3
    Junior Member Lonehwolf's Avatar
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    life saver Or more like reputation saver
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