Concours Mines-Ponts: mathématiques 2 MP
A rather interesting analysis problem that studies the Wallis function: \[ \begin{alignat*}{1} f:]-1,+\infty[&\to\mathbb{R}^{+*}\\ x&\mapsto \int_0^{\frac{\pi}{2}}(\sin t)^x \mathrm{d} t \end{alignat*} \] which is a generalization of the well-known integrals with integer exponent.
Representation of \(f\) the Wallis function:
Interactive representation of \(f\) the Wallis function:
Solutions to the Maths 2 test on May 3 in the MP concours Mines-Ponts 2023:
Problem set:
