To Find:
To find the area of the propeller shaped regions by curve
Answer to Problem 37E
The area of the propeller shaped regions by curve and line is
Explanation of Solution
Given information:
The given function is
The red curve is the graph of
Now we have to solve the equations for
Now find the point of intersection by equating the above two equations,
From the graph, the region below the x-axis has the same area as the region above the x-axis.
Hence, the integral runs from
Therefore, the area of the propeller shaped regions are
Therefore, the area of the propeller shaped regions by curve and line is
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
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