To calculate: The area of the region
Answer to Problem 12RE
The area of the region is
Explanation of Solution
Given information:
Calculation:
To find the area of the region which is enclosed by the sinusoidal curves
The sketch of these graphs will help us to more easily spot a given problem.
Let’s sketch the graphs into Desmos. Further by entering the code, which see in the red rectangle below, mark the required region with the color.
By observing the given picture, notice that our area is bounded above with the curve
Let’s find the area of the green region.
Area of the region is represented as
It is not difficult to solve those integrals but for the second integral it need the substitution.
Using the substitution
Therefore,
Substitute the above integral in the formula
Area of the region equals
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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