   Chapter 6.3, Problem 1CP ### 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

# Checkpoint 1Use the Trapezoidal Rule with n = 4 to approximate ∫ 0 1 e 2 x d x .

To determine

The value of the integral 01e2xdx for n=4 by Trapezoidal Rule approximation.

Explanation

Given Information:

The definite integral is 01e2xdx for n=4.

Formula used:

The approximate value of integral abf(x)dx for n equal subdivision of closed interval [a,b] by Trapezoidal Rule is,

abf(x)dx(ba2n)[f(x0)+2f(x1)+2f(x2)+2f(x3)++f(xn)]

Calculation:

Consider the definite integral 01e2xdx.

Since the number of equal subdivision is 4 and the lower and upper limit of the integral are 0 and 1 respectively.

n=4a=0b=1

The width of each subinterval is,

104=14

The end points of subintervals for the calculated width,

x0=0,x1=14,x2=12,x3=34,x4=1

The value function f(xi)=xi2 for corresponding width is shown below

### 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

#### Find more solutions based on key concepts 