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 7 days

Continue

Input your name and email to request the answer

Like

Report

Approximate the indicated area by connecting succesive $y^{-}$ values on the curve by a straight line, resulting in trapezoids.Use $n=4$ trapezoids to estimate the area of the region in Exercise 10.

10

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 4

Approximation of Areas

Integrals

Missouri State University

Baylor University

University of Nottingham

Idaho State University

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.

02:31

Approximate the area of th…

01:27

Consider the boundaries of…

01:44

Use the Midpoint Rule with…

00:55

01:38

No transcript available

View More Answers From This Book

Find Another Textbook

01:33

Evaluate the given integral and check your answer.$$\int 2 t^{7} d t$$

02:46

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

04:40

Find (a) $f_{x x}(x, y),$ (b) $f_{y y}(x, y),$ (c) $f_{x y}(x, y),$ and $f_{…

01:01

$f(x, y, z)=100 \sqrt{x+2 y-3 z},$ determine (a) $f(5,4,0)$, (b) $f(42,-4,-3…

01:21

Linearize the given function.$$f(x, y)=x^{4}+y^{4}+16 x y \text { near }…

02:04

Evaluate the given integral.$$\int \frac{e^{2 x}}{\left(e^{2 x}+1\right)…

01:15

Evaluate the given definite integral.(a) $\int_{a}^{b} \frac{1}{x} d x$<…

02:54

Solve the given differential equation.$$\frac{d y}{d x}=\frac{4 e^{x}}{y…

03:10

Evaluate $\int_{R} \int f(x, y) d A$ for $R$ and $f$ as given.(a) $f(x, …