# Math Help - Trig Substitution Integral

1. ## Trig Substitution Integral

Need help with integrating: 1/((x^2-6x+11)^2)

2. $\int \frac{1}{(x^2-6x+11)^2}dx$

First, complete the square in the denominator:
$\int \frac{1}{(x^2-6x+9+2)^2}dx=\int \frac{1}{((x-3)^2+2)^2}dx$

Take 2 common factor: $\frac{1}{4} \int \frac{1}{((\frac{x-3}{\sqrt{2}})^2+1)^2}dx$

Now sub $\frac{x-3}{\sqrt{2}} = \tan{\theta}$ and continue.