1
Calculer \(f(a) = \int_{t=0}^{+\infty} e^{-t^2}\cos(at)\,d t\).
2
Soit \(g(a) = \int_{t=0}^{+\infty} e^{-t^2}\frac{\sin(at)}t\,d t\) ; calculer \(\lim_{a\to+\infty} g(a)\).
Calculer \(f(a) = \int_{t=0}^{+\infty} e^{-t^2}\cos(at)\,d t\).
Soit \(g(a) = \int_{t=0}^{+\infty} e^{-t^2}\frac{\sin(at)}t\,d t\) ; calculer \(\lim_{a\to+\infty} g(a)\).