Evaluar

Question

<blockquote> <p>Evaluar <span class="math-container">%-%-%$</span></p> </blockquote> <hr> <p><span class="math-container">\begin{align*} I_n:&=\frac{(-1)^n}{n!}\int_0^n\prod_{k=1}^{n}(x-k){\rm d}x=\frac{(-1)^n}{n!}\int_0^n\prod_{k=1}^{n}(n-k-x){\rm d}x\\&=\frac{(-1)^n}{n!}\int_0^n\prod_{k=0}^{n-1}(k-x){\rm d}x=\frac{1}{n!}\int_0^n\prod_{k=0}^{n-1}(x-k){\rm d}x\\ &=\int_0^n\binom{x}{n}{\rm d}x, \end--------------------------------------------------------------------------------</span></p> <p>pero es difícil seguir adelante.</p>