Chapter 6.1, Problem 10SWU

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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In Exercises 7–10, find the area of the region bounded by the graphs of *f* and *g*.

To determine

**To calculate:** The area of the region bounded by the graphs of

Explanation

**Given Information:**

The functions are

**Formula used:**

If *f* and *g* are continuous on *x* in *f, g*,

**Calculation:**

Consider the function,

Let

Now, in order to plot the graph choose some values for

So, put

Now, put

Now, put

The required table is shown below,

So, its graph appears as follows:

Consider the second function,

Let

For

For

It represents a straight line passing through points.

x |
0 | 1 |

y |
-1 | 0 |

To plot them together, calculate the point of intersection of

Equating the *y* of both the equation and solve for *x*,

Equating each of the factor to zero, the values *x* are

For

For

For

Thus, the point of the intersection are

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