Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Find the most general antiderivative of the function. (Check your answers by differentiation.)
$ f(x) = (x - 5)^2 $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Carson Merrill
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
02:41
Kyle Zolkin
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 9
Antiderivatives
Derivatives
Differentiation
Volume
Harvey Mudd College
Baylor University
University of Michigan - Ann Arbor
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.
01:20
Find the most general anti…
01:34
01:19
01:29
02:00
02:29
02:10
01:37
0:00
01:09
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.
View More Answers From This Book
Find Another Textbook
01:06
' Consider the function f and its graph given to the right. Find …
02:42
' use synthetic division2x3_x+1 X + 4BX+hxzXx+3 Xt3'
02:20
' William earns $13 an hour working at a movie theater. Last week he …
03:27
' CONCEPT CHECK Identify the parts of each expression. Choose from th…
02:24
' Simplify the following. Then classify each result as either rational …
02:13
' a bus holds 36 people and 72 people are going on a trip '
00:51
' Section 2.1 26. Explain the words coefficient and constant. Introdu…
02:31
' Section 2.1 Introduction to Variables 103 26. Explain the words coe…
01:30
' What is the average (arithmetic mean) of 8, 7, 7, 5 3 2 and 2? 3^4/…
12:08
'Concepts of Algebra...Show the work Find using special patterns: 16x^…
