Textbook ExpertVerified Tutor
6 Jan 2022
Given information
A particle that moves along a straight line has velocity 
meters per second after 
seconds.
Step-by-step explanation
Step 1.
The second Fundamental theorem of calculus:
If 
is the antiderivative of 
, then we can write
is the antiderivative of , then we can write
So, the first step is to find the general antiderivative of 
, which is
, which is
formula for the integration by parts
To evaluate 
, we will integrate by parts
, we will integrate by parts
Substitute this back in (Equation 1), to get
Since is antiderivative of , the displacement in the first seconds is given by
is antiderivative of , the displacement in the first seconds is given by
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 34
- Problem 35a
- Problem 35b
- Problem 36a
- Problem 36b
- Problem 36c
- Problem 37a
- Problem 37b
- Problem 38
- Problem 38
- Problem 39
- Problem 40
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46a
- Problem 46b
- Problem 46c
- Problem 46d
- Problem 47
- Problem 48a
- Problem 48b
- Problem 48c
- Problem 48c
- Problem 48d
- Problem 48e