To calculate : The area of the region enclosed by the given line and curve.
Answer to Problem 20E
The required area is
Explanation of Solution
Given information :
The line and curve are:
Calculation :
Draw the graph of the given line and curve.
For calculating the area enclosed by the graphs first we need to calculate the points where the points intersect.
The curves intersect at three points:
Because of the absolute value sign, break the integral up at
The area can be divided into three parts
First,
Second,
Third,
Hence, the total area is the sum of the above three areas.
Therefore, the required area is
Chapter 7 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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