   Chapter 4.2, Problem 33E

Chapter
Section
Textbook Problem

# The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.(a) ∫ 0 2 f ( x ) d x (b) ∫ 0 5 f ( x ) d x (c) ∫ 5 7 f ( x ) d x (d) ∫ 0 9 f ( x ) d x To determine

a)

To evaluate:

The given integral by interpreting it in terms of  thearea.

Explanation

Concept:

A definite integral can be interpreted as a net area, that is, difference of the areas abf(x)dx=A1-A2

where A1 is the area of region above x- axis and below the graph of f, and A2 is the area of region below x- axis and above the graph of f.

Given:

02f(x)dx

Calculations:

To find the area under the curve, from the points 0 to 2, means to calculate the area of the shaded region as shown in the figure below.

From the graph, A1 is the area of atrapezoid

To determine

b)

To evaluate:

The given integral by interpreting it in terms of area

To determine

c)

To evaluate:

The given integral by interpreting it in terms of area.

To determine

d)

To evaluate:

The given integral by interpreting it in terms of area.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 516, evaluate the given quantity. log4164

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Problems 45-51, solve each system of equations. 48.

Mathematical Applications for the Management, Life, and Social Sciences

#### Which is the graph of ?

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Find for x = 3t2 + 1, y = t6 + 6t5. t4 + 5t3 4t3 + 15t2

Study Guide for Stewart's Multivariable Calculus, 8th

#### Graph: f(x)=x39x.

College Algebra (MindTap Course List) 