Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 30 days

Continue

Input your name and email to request the answer

Like

Report

Using the left endpoint with $n=4,$ approximate the area of the region bounded by $f(x)=4-x^{2},$ and the $x$ -axis for $x$ between -2 and $2,$ see Figure 18.

10

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 4

Approximation of Areas

Integrals

Baylor University

Idaho State University

Boston College

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

03:00

Use the Midpoint Rule with…

02:50

02:12

01:43

03:19

02:11

03:26

No transcript available

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:18

Use the properties of logarithms to find the derivative. Hint: It might be e…

01:11

01:56

Determine the equation of the tangent line at the given $x$ -coordinate.…

01:58

Evaluate the given integral and check your answer.$$\int \sqrt{x} d x$$<…

05:31

Find the partial derivatives with respect to (a) $x$ and (b) $y$.$$f(x, …

01:59

Use the method of Lagrange multipliers to optimize $f$ as indicated, subject…

01:48

Find and classify, using the second partial derivative test, the critical po…

03:11

02:29

01:35

Use the properties about odd and even functions to evaluate the given integr…