grandes-ecoles 2016 QIII.D.1

grandes-ecoles · France · centrale-maths1__pc Central limit theorem
Let $f(x) = \mathrm{e}^{-\frac{1}{2}x^{2}}$. Using the results of question III.C.6), deduce the value of $\int_{-\infty}^{+\infty} f(x) \mathrm{d}x$. 
Let $f(x) = \mathrm{e}^{-\frac{1}{2}x^{2}}$. Using the results of question III.C.6), deduce the value of $\int_{-\infty}^{+\infty} f(x) \mathrm{d}x$.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.B.1 QI.B.2 QI.C.1 QI.C.2 QII.A QII.B.1 QII.B.2 QII.B.3 QII.C.1 QII.C.2 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C.1 QIII.C.2 QIII.C.3 QIII.C.4 QIII.C.5 QIII.C.6 QIII.D.1 QIII.D.2 QIII.D.3 QIII.E.1 QIII.E.2 QIII.F