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Calculus Level 2

If \(\displaystyle \int _{ 0 }^{ 10 }{ f\left( x \right)dx } = 5\), then find the value of

\[\large\ \sum _{ k = 1 }^{ 10 }{ \int _{ 0 }^{ 1 }{ f\left( k - 1 + x \right)dx } } \]

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