grandes-ecoles 2011 QI.A

grandes-ecoles · France · centrale-maths1__psi Reduction Formulae Prove Convergence or Determine Domain of Convergence of an Integral

Show that the function $t \rightarrow e^{-t} t^{x-1}$ is integrable on $]0, +\infty[$ if, and only if, $x > 0$.

Show that the function $t \rightarrow e^{-t} t^{x-1}$ is integrable on $]0, +\infty[$ if, and only if, $x > 0$.