Download the App!

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

Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on $ [0, 1] $.

$ \displaystyle \lim_{n \to \infty} \sum_{i = 1}^n \biggl( \frac{i^4}{n^5} + \frac{i}{n^2} \biggr) $

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$$\frac{7}{10}$$

02:32

Frank Lin

Calculus 1 / AB

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Integration

Missouri State University

Campbell University

Harvey Mudd College

Baylor 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.

00:52

Evaluate the limit by firs…

01:02

02:51

00:37

01:26

Express the given limit of…

01:07

01:51

Calculate$$\lim _{n \r…

okay, We know that Delta acts. In other words, changing axes. One of her on and a zero knew the formula for Delta X's B minus over end. So Bemis here, over, and somebody we know A is zero, which gives us one of her and therefore we know the hostage equivalent to one. Therefore, what we know is that we have the integral from zero 21 of X the fourth plus ax detox integrate increase the exploited by one divide by the new exponents increase to divide by two. Our solution is seven tons.

View More Answers From This Book

Find Another Textbook

01:49

ruchi cover 3km in 45min. how much distance in metres does she cover in 94.8…

write the pythagorean triplet hose greatest member is 29.please answer t…

02:02

A man earns 18,000 per month. His income increased in the ratio 12:13 . Fin…

Which ordered pair (a, b) is a solution to the given system of linear equati…

00:56

find the profit % if s.p is 150 and profit is 25?

Verify commutativity of addition of rational numbers for -11/5 and 4/7.

01:54

Prove that sin (π/4+ x) + sin (π/4 – x) = √2 cos x.