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) = \dfrac{1}{5} - \dfrac{2}{x} $
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
01:07
Fahad Paryani
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 9
Antiderivatives
Derivatives
Differentiation
Volume
Oregon State University
Baylor University
University of Michigan - Ann Arbor
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.
01:03
Find the most general anti…
01:34
01:20
01:11
02:00
01:19
00:48
01:29
01:37
0:00
02:29
So for this problem, we want to produce the most general anti derivative of the function And the function that we're given is 1/5 -2 over X. So f of x. because 1 5th -2 over X. And we want to remember that one over X, the anti derivative of that is going to be the natural log of X. So what this is going to give us is 1/5 x minus two times the natural log of the absolute value of acts. All right. There is going to be our final answer, but we want to remember that there is going to be a constant classy. Um and we just know that X cannot equal zero. So it's this right here where X cannot equal zero is supposed to be our final function. If we took a crime of X and chose a different value of C, we see that this is the exact same graph given to us.
View More Answers From This Book
Find Another Textbook
02:30
the poles of height 18 cm and 7 m are erected on the ground. a wire of lengt…
03:01
Solve the que find square root of 28.9 up to two decimal places
00:54
The flavours of ice-creams is given in percentages , Chocolate - 60%, Vanill…
01:30
a car takes 3.5 hours to cover 210 km. how much time will it take to cover 9…
01:55
What single percentage change is equivalent to a 9% decrease followed by a 1…
01:22
Find the radius of a sphere with a volume of 972π cubic millimeters.
01:04
there is a playground of dimensions 60 m * 45 m. in two corners of the groun…
01:46
02.write the polynomial the product and sum of whose zeroes are -9/2 and3/2 …
01:13
write each of the following in the from of ax +by +c =0 and find the value o…
The G.C.D. of two numbers is 12 and their L.C.M. is 240. If one of the numbe…