   Chapter 5, Problem 49RE ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Evaluating a Definite Integral using a Geometric Formula In Exercises 47–50, sketch the region whose area is represented by the definite integral. Then use a geometric formula to evaluate the integral. ∫ 0 4 ( 4 − x )   d x

To determine

To graph: The region whose area represent by definite integral 04(4x)dx and calculate integration by use of geometrical formula.

Explanation

Given Information:

The provided definite integral is 04(4x)dx.

Formula used:

The area of triangle:

Area of traingle=12(Lenght×height)

Area of function f(x) bound from x=a and x=b is given by

Area=abf(x)dx

Graph:

Consider the integration,

04(4x)dx

The integrand function f(x)=4x

Let x=4,

Substitute, 4 for x in f(x)=4x.

f(4)=44=0

Let x=0,

Substitute, 0 for x in f(x)=4x.

f(0)=40=4

Let x=0,

The following table represent coordinate of f(x)=4x

### 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 7-12, refer to the following figure. 8. What are the coordinates of point B?

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In problems 37-48, compute and simplify so that only positive exponents remain. 47.

Mathematical Applications for the Management, Life, and Social Sciences

#### Prove the idempotent law for conjunction, ppp.

Finite Mathematics for the Managerial, Life, and Social Sciences

#### Use the Taylor polynomial of degree 2 for centered at 1 to estimate . 1.250 1.255 1.265 1.270

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

#### True or False: The graph of x = 5 is a cylinder.

Study Guide for Stewart's Multivariable Calculus, 8th 