Question

integration of dx ÷ x²-6x+13

Answer 1

$\int{} \dfrac{dx}{(x {}^{2} - 6x + 13)} \\ \\ \int{} \dfrac{dx}{( {(x - 3)}^{2} + {2}^{2} )} \\ \\ Using \: identity \: , \: we \: get \: - \\ \\ \: \:\boxed{ { \dfrac{1}{2} \: { \tan}^{ - 1} \frac{(x - 3)}{2} } \: + \: C}$