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Problem

Find the most general antiderivative of the funct…

01:04

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Problem 4 Medium Difficulty

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

$ f(x) = 6x^5 - 8x^4 - 9x^2 $


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03:51

KZ

Kyle Zolkin

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Related Topics

Derivatives

Differentiation

Volume

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Volume - Intro

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.

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Problem 79

Video Transcript

this problem our goal is to take the general anti derivative of the function. The function given to us is ethel Becks equals six X. to the 5th. Mhm. Mhm. Right. It's eight X to the 4th. It's -9 x squid. And this is what we end up getting as a result. Then um we want to take the anti derivative, this big F of X. We take the anti derivative of each individual portion six X to the fifth. That's going to become extra the six. So six X To the 6th divided by six. That's just X to the 6th. And we have minus, we act to the four or eight X to the fifth because we raised the power and then we divide that by five and then we have minus nine X. Cubed. We raise that over three. I was just going to give us three X. Cute. And lastly we have to add the general constant. And this will be our final anti derivative.

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Related Topics

Derivatives

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Video Thumbnail

06:14

Review

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.

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