Question

integrate from 0 to 1 for [x/(x^2 +2)^2]

Answer 1

\[\large \int\limits\frac{x}{(x^{2}+2)^{2}} \]
It's a u- substitution.
Let \(u = x^2+2\) => \(\frac{du}{2x} \)

Answer 2

\[\frac{du}{2}=xdx\]

Answer 3

Not \[\frac{du}{2x}\] :)

Answer 4

Derivative of x^2 is 2x.. it is du/2x