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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 5.2, Problem 47E

To determine

**To list:** The following integral in the increasing order.

(A)

(B)

(C)

(D)

(E)

Expert Solution

The increasing order of the integral function is

**Given:**

The graph of the function *f* is shown in Figure 1.

**Calculation:**

Plot the graph of the function *f* as shown below:

Refer the figure 1.

Consider the area under the graph are

The area *x*-axis.

The area

The area

The area

The first smallest value among the integral is

The area denoted by *f*.

The second smallest area under the plot is

The value of

The value of

The third smallest area under the plot is

This is the difference of maximum positive area and maximum negative area.

The largest area under the plot is

The area denoted by *f*.

The second largest area under the plot is

Refer to the Figure 1.

Thus, the area denoted by

Show the area in the increasing order as follows:

Therefore, the increasing order of integral is