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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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