Suppose the Points $x_{0}, x_{1}, \ldots, x_{n}$ Are Equally Spaced And $\alpha$

question 65

True/False

Suppose the points $x_{0}, x_{1}, \ldots, x_{n}$ are equally spaced and $\alpha$$=$$x_{0}$$<$$x_{1}$$\text { < }$ ... $<$$x_{n}$$=b$ .
Is $\sum_{i=0}^{n-1}\left(\frac{f\left(x_{i}\right)+f\left(x_{i+1}\right)}{2}\right) \Delta x$ the formula (in terms of f and the $x_{i}$ 's)for the midpoint Riemann sum approximation to $\int_{a}^{b} f(x) d x$ ?

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