Discussion
The definite integral \( \displaystyle\int_{a}^{b} f(x)\,dx \) is defined as the limit of
Answer: D
The Riemann definition partitions the interval, forms \( \sum f(x_{i})\,\Delta x_{i} \), and takes the limit as the largest width tends to zero. That the result equals \( F(b) - F(a) \) is the content of the fundamental theorem, a proved connection rather than the definition itself
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