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Find $ f $.

$ f'(x) = (x + 1)/\sqrt{x} $, $ \quad f(1) = 5 $

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02:07

Wen Zheng

00:50

Amrita Bhasin

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Missouri State University

University of Nottingham

Idaho State University

Boston College

Lectures

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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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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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So for this problem we are given the F prime of X is equal to X plus one. It's good, divided by the square root of acts. So based on that, we know that F of X is equal to. Um If we view this as X to the one half right here And then we distribute, we end up getting X to the 1/2 Times X. So that's X to the 3/2ves Plus X to the one House. So I'm interviewed in that way when I take the anti derivative because that's going to be much easier, it'll give me and 3/5 X to the 5/3 and then it'll give me plus two thirds X to the three house. If it's in mind now we have class C. And when X equals one, so we get three fist plus two thirds 3 50 plus two thirds is 1.26 repeating. Instead we get five. So that means that We have 5-. Yes. Does that mean c. is equal to five 0666666. Which gives us this value right here, they're finally answer

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