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Chapter 4: Q 21. (page 339)

Your calculator should be able to approximate the area between a graph and the x-axis. Determine how to do this on your particular calculator, and then, in Exercise, use the method to approximate the signed area between the graph of each function f and the x-axis on the given interval [a, b].
$f (x) = \sqrt{x - 1}, [a, b] = [2, 3]$

Short Answer

Expert verified

Area is equal to 1.219

Step by step solution

01

Step 1.Given information

$f (x) = \sqrt{x - 1}, [a, b] = [2, 3]$

02

Step 2. Explanation

Consider the function $f (x) = \sqrt{x - 1}, [a, b] = [2, 3]$

Area $= \int_{2}^{3} \sqrt{x - 1}$

$= {[\frac{{(x - 1)}^{\frac{1}{2} + 1}}{\frac{1}{2} + 1}]}_{2}^{3} = 1.219$

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