Putnam 1992 A2

Define $C(\alpha)$ to be the coefficient of $x^{1992}$ in the power series about $x=0$ of $(1 + x)^\alpha$. Evaluate $$\int_0^1 \left( C(-y-1) \sum_{k=1}^{1992} \frac{1}{y+k} \right) dy.$$