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Find $ f $.

$ f"(x) = x^3 + \sinh x $, $ \quad f(0) = 1 $, $ \quad f(2) = 2.6 $

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$$f(x)=\frac{1}{20} x^{5}+\sinh (x)+1.81343 x+1$$

01:55

Wen Zheng

01:31

Amrita Bhasin

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Campbell University

University of Michigan - Ann Arbor

University of Nottingham

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.

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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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The first problem here, what we have is F double prime of X is equal to X cube Plus, sign eight x. Um Then when we take a five X or F prime of X, that's going to give us X to the 4th over four class or minus person Ajax. Then what we have is This is uh since f prime of two is 2.6, what we end up getting as a result is one 81343. Oh right. It 1343. Then when we take f of f this is going to be X to the 5th over 20 bus, sign each X class. Um one point this whole thing X. And then we know when we plug in zero, we get one. So that means that our constant is just one, then this will be our final answer.

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