(Product)*(summation) under integral?

Calculus Level 4

Solve:\(\large\displaystyle\int _{ 0 }^{ 1 }{ \left( \prod _{ r=1 }^{ n }{ (x+r) } \right) \sum _{ k=1 }^{ n }{ \frac { 1 }{ x+k } \text{d}x } } \)