Download the App!

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

Question

Answered step-by-step

Find the most general antiderivative of the function. (Check your answers by differentiation.)

$ f(x) = \dfrac{2x^4 + 4x^3 - x}{x^3} $, $\quad x > 0 $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Carson Merrill

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

01:46

Fahad Paryani

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Campbell University

Harvey Mudd College

Baylor University

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

01:41

Find the most general anti…

01:29

01:07

01:20

01:34

01:37

01:42

01:24

01:11

0:00

02:00

00:53

01:09

00:54

this problem were given a function. Um It will be in our best interest to divide out that X cubed first before we actually evaluated. So we're going to have is f of X equals two acts plus or. And we can separate all these parts of the fraction, so we get two X plus four minus one over x squared. But I'm going to write one over X squared X to the negative tube. So here's our graph. When we find the anti derivative after backs we get two. X is going to give us x squared Plus four since this is a constant, we would just write this as four acts for the anti derivative and then here we have minus X to the when we have a negative two, we add one in the exponents X. The negative one divided by a negative one is going to give us plus X to the negative one. Or we could also write that as one over X and we just have to add our constant and this is the final answer.

View More Answers From This Book

Find Another Textbook