grandes-ecoles 2024 Q3

grandes-ecoles · France · mines-ponts-maths2__psi Indefinite & Definite Integrals Convergence and Evaluation of Improper Integrals
Show that the function $\varphi : t \longmapsto \frac{1}{\sqrt{t}}$ is integrable on $]0,1[$, then show that the function $\varphi$ belongs to $\mathscr{D}_{0,1}$.
Show that the function $\varphi : t \longmapsto \frac{1}{\sqrt{t}}$ is integrable on $]0,1[$, then show that the function $\varphi$ belongs to $\mathscr{D}_{0,1}$.