## Very Very hard INTEGRATION

For college and university level advanced Mathematics
samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Very Very hard INTEGRATION

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

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: Very Very hard INTEGRATION

samiul_samin wrote:
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
Hint