Textbook ExpertVerified Tutor
10 Dec 2021
Given information
The given expression is 
liters / minute
Step-by-step explanation
Step 1.
Given function liters / minute
liters / minuteSince the we have an equation for the rate of oil leakage, we can find the area under the 
curve from 0 to 60 minutes to find the total amount leaked. Since the 
graph is on a (Liters/minute) vs. (minutes) plane, finding the area under the curve will cause the minutes to cancel, leaving only 
(Liters), which is what we want.
curve from 0 to 60 minutes to find the total amount leaked. Since the graph is on a (Liters/minute) vs. (minutes) plane, finding the area under the curve will cause the minutes to cancel, leaving only (Liters), which is what we want.So, we can find the area under the curve by evaluating:
curve by evaluating:
Now, we can solve by setting up a simple substitution:
Let 
When 
and when 
then 
and when then 
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 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- 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
- Problem 58
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67
- Problem 68
- Problem 69
- Problem 70
- Problem 71
- Problem 72a
- Problem 72b