# How do you integrate y=x/(x^2+1) using the quotient rule?

##### 1 Answer
Oct 20, 2016

Do you mean Differentiate?

#### Explanation:

To integrate you might be able to use partial fraction but differentiation using the quotient rule will give you:

$\frac{x ' \left({x}^{2} + 1\right) - \left({x}^{2} + 1\right) ' \left(x\right)}{{x}^{2} + 1} ^ 2$=$\frac{{x}^{2} + 1 - 3 x}{{x}^{2} + 1} ^ 2$

$y '$=$\frac{{x}^{2} - 3 x + 1}{{x}^{4} + 2 {x}^{2} + 1}$