# Riemann Sums area under graph?

**Question description**

1. Consider the region between the graph of f(x) = 4 − x^ 2 and the x-axis for 0 ≤ x ≤ 2. You will be approximating the area of this region. Find an underestimate and overestimate for this area using n = 4 intervals. Sketch the graphs of f(x) and the approximating rectangles on the axis below and label endpoints.

2. Find the exact value of the following integral by interpreting in terms of areas. Graph too!. ∫(7 for top) (0 for bottom) |x − 3| dx

Consider the region between the graph of f(x) = 1 x and the x-axis on the interval [1, 5]. Sketch the region and write the correct form of Riemann Sum using right endpoints and n intervals.

Change in x=

xi=

A=

And two expressions to represent the value of the area. Forms are limit of Riemann Sum and definite integral.

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