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Evaluate : Int 1/(X^2 + 8x + 20) Dx - Mathematics and Statistics

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Question

Evaluate : `int 1/(x^2 + 8x + 20)` dx

Sum

Solution

Let I = `int 1/(x^2 + 8x + 20)` dx

        = `int 1/(x^2 + 8x + 16 + 4)` dx

        = `int 1/((x +4)^2 + 2^2)` dx

        = `1/2 tan^(-1) ((x + 4)/2) + c`

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2013-2014 (October)

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