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

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Question

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

Sum

Solution

 = `int  1/("x"^2 + 8"x" + 20)` dx


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


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

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2014-2015 (October)

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