grandes-ecoles 2020 Q13

grandes-ecoles · France · x-ens-maths-b__mp_cpge Indefinite & Definite Integrals Convergence and Evaluation of Improper Integrals
Show that $$\lim_{a \rightarrow +\infty} \int_0^a |\sin(x^2)| \mathrm{d}x = +\infty$$
Show that
$$\lim_{a \rightarrow +\infty} \int_0^a |\sin(x^2)| \mathrm{d}x = +\infty$$