Eat,Split,Substitute,Repeat

Calculus Level 4

\[\large\displaystyle\int _{ 0 }^{ n }{f( x )\, dx } =1729\]
Evaluate \[\large\displaystyle\sum _{ k=1 }^{ n }{ \int _{ 0 }^{ 1 }{ f\left( k-1+x \right) dx } } \]

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