Very Very hard INTEGRATION
Posted: Wed Feb 21, 2018 6:27 pm
Define $C(\alpha)$ to be the coefficient of $x^{1992}$ in the power series about $x=0$ of $(1+x)^{\alpha}$.Evaluate
$\int^1_0$ ($C$($-y-1$)$\sum_{k=1}^{1992} \dfrac {1}{y+k} $ )$dy$
Problem Source
$\int^1_0$ ($C$($-y-1$)$\sum_{k=1}^{1992} \dfrac {1}{y+k} $ )$dy$
Problem Source