To calculate: The
Answer to Problem 15E
The value of the integral
Explanation of Solution
Given:
The integral is
Concept used:
If a nonnegative function
Formula used:
The area of the semicircle is as follows:
Calculation:
In the given integral, the integrand function is
The equation of circle for the semicircle
Comparing this with the standard equation of circle
Now draw the graph of
It can be seen that the area under a line from
Use the formula of the semicircle to obtain the area of the semicircle, where radius is 3.
Therefore, by the concept the value of the integral is equal to the area of the circle.
The value of the integral
Conclusion:
Thus, thevalue of the integral
Chapter 6 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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