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Chapter 4: Q. 14 (page 385)

Repeat Exercise 13 for the function $f$ shown above at the right, on the interval $[- 2, 2] .$

Short Answer

Expert verified

Part (a)

Part (b) $\int_{- 2}^{- 1.5} (f (x) - g (x)) d x + \int_{- 1.5}^{0.5} (g (x) - f (x)) d x + \int_{0.5}^{2} (f (x) - g (x)) d x$

Step by step solution

Part (a) Step 1. Calculation

The rectangles can be drawn as

Part (b) Step 1. Calculation

The given graph is

The area can be calculated as:

$\int_{- 2}^{- 1.5} (f (x) - g (x)) d x + \int_{- 1.5}^{0.5} (g (x) - f (x)) d x + \int_{0.5}^{2} (f (x) - g (x)) d x$

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Repeat Exercise 13 for the function fshown above at the right, on the interval[-2,2].

Short Answer

Step by step solution

Part (a) Step 1. Calculation

Part (b) Step 1. Calculation

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Repeat Exercise 13 for the function $f$ shown above at the right, on the interval $[- 2, 2] .$