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Problem

Find the most general antiderivative of the funct…

02:29

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Problem 6 Medium Difficulty

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

$ f(x) = (x - 5)^2 $


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02:41

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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06:14

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Watch More Solved Questions in Chapter 4

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Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
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Problem 16
Problem 17
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Problem 20
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Problem 24
Problem 25
Problem 26
Problem 27
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Problem 33
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Problem 36
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Problem 38
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Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
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Problem 60
Problem 61
Problem 62
Problem 63
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Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
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Problem 72
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Problem 74
Problem 75
Problem 76
Problem 77
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Problem 79

Video Transcript

So for this problem here were given the function F of X equals x minus five squared. But I would advise that you foil this. So that would give you X squared minus 10. It's plus 25. And the reason why I advise this is because now you have three separate terms that you can take the anti derivative of rather than having um some power involved with parentheses in terms inside. So this makes it much simpler. And now we want to find the anti derivative. So this is going to give us X cubed over three, is going to give us a negative 10 X squared over two, which is negative five X squared. And then 25 a constant is just gonna give us 25 x. Then we add the constancy at the end of this. Then we can take crime effects with any constancy. And we see that it's the same graph as the original fx function. So we solve this correctly.

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Related Topics

Derivatives

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Video Thumbnail

06:14

Review

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