<p>\(100\int_0^1 \{x\} dx\), where \(\{x\}\) denotes the fractional part of \(x\)</p>
Step-by-Step Solution
Key Concept: The fractional part function equals the identity function on [0,1), allowing direct integration.
<p>For $x \in [0,1)$, $\{x\} = x$. Therefore, $\int_0^1 \{x\} dx = \int_0^1 x dx = \frac{x^2}{2}\big|_0^1 = \frac{1}{2}$. Thus $100 \times \frac{1}{2} = 50$.</p>
Correct Answer: D