grandes-ecoles 2020 Q13

grandes-ecoles · France · x-ens-maths2__mp Indefinite & Definite Integrals Convergence and Evaluation of Improper Integrals
Show that $$\lim _ { a \rightarrow + \infty } \int _ { 0 } ^ { a } \left| \sin \left( x ^ { 2 } \right) \right| \mathrm { d } x = + \infty$$
Show that
$$\lim _ { a \rightarrow + \infty } \int _ { 0 } ^ { a } \left| \sin \left( x ^ { 2 } \right) \right| \mathrm { d } x = + \infty$$