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By change of Variables, let x+5= to Note that the denominator can be written as follows x+10X +50 = x^+ 10x +25+25 x+lox+50 (x+5575² = (x+5)+5² 1 x*+10x+50 dx = dx dx = dt Hence the integral becomes dt +45) By standard result It that it = I tan (+ 2) + c By comparison a=5, hence s tat si dt = - tani' (+ 5) + c I tant (x+5) + c where is an integration Constant.
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