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Find $ f $.

$ f'(t) = 4/(1 + t^2) $, $ \quad f(1) = 0 $

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Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Missouri State University

Harvey Mudd College

University of Nottingham

Boston College

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.

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$ f&#x…

Okay, so we're being asked to find F and were given a promise to use people there for over one plus two squared and the effort one zero. So let's get right into it. So we're checking the integral are for over one foot two squared. Oh, no, thanks. Oh, one plus two square DT. We can pull out a common factor for injected into your one over one foot. He's squared DJ, and this is going to be equal to four Casian and worse, or tea for some constant C. And that's it. That is our function. And so now we're told that half of one s so it's good unplugging ones of four ten in words of one plus C is equal to zero. So they're mean. Well, tell members of one's private forces before Ty over four or the fourth cancel and it will be prosecuted because zero and C is equal to negative. Hi. So that means our function after Max, it is going to be going to four tangent and worse off key. This is I'm sorry again turned t minus pi, and that is our function

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