Final Answer
Step-by-step Solution
Specify the solving method
The trinomial $x^4+6x^2+9$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve problems step by step online.
$\Delta=b^2-4ac=6^2-4\left(1\right)\left(9\right) = 0$
Learn how to solve problems step by step online. Find the integral int((x^2+x+3)/(x^4+6x^2+9))dx. The trinomial x^4+6x^2+9 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. We can solve the integral \int\frac{x^2+x+3}{\left(x^{2}+3\right)^{2}}dx by applying integration method of trigonometric substitution using the substitution.