Applicare la formula: $a\ln\left(x\right)$$=\ln\left(x^a\right)$, dove $a=\arctan\left(x\right)$ e $x=x^2$

Simplify $\left(x^2\right)^{\arctan\left(x\right)}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\arctan\left(x\right)$