How do you integrate $y = \frac{x}{x^{2} + 1}$ $y=x/(x^2+1)$ using the quotient rule?

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Answer 1 · 2016-10-20T06:50:09

Do you mean Differentiate?

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

$(x'(x^2+1)-(x^2+1)'(x))/(x^2+1)^2$ = $(x^2+1-3x)/(x^2+1)^2$

$y'$ = $(x^2-3x+1)/(x^4+2x^2+1)$

How do you integrate y=x/(x^2+1)y=xx2+1y=x/(x^2+1) using the quotient rule?