grandes-ecoles 2018 Q8

grandes-ecoles · France · centrale-maths1__pc Standard Integrals and Reverse Chain Rule Convergence and Estimation of Improper Integrals

Show that, for any natural integer $p$, the function $x \mapsto x^{2p} \exp\left(-x^{2}\right)$ is integrable on $\mathbb{R}$.

Show that, for any natural integer $p$, the function $x \mapsto x^{2p} \exp\left(-x^{2}\right)$ is integrable on $\mathbb{R}$.