Fractional Integral

Calculus Level 4

\[ \large \int_0^1 \{ nx \} ^{1/3} \, dx \]

The integral above has a closed form when \(n\) is a positive integer, find this closed form.

Give your answer to 2 decimal places.

\[ \]

Notation: \( \{ \cdot \} \) denotes the fractional part function.

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