Concept explainers
If
where
To evaluate:
Answer to Problem 1P
Solution:
Explanation of Solution
1) Concept:
i. If
Then
ii.
2) Given:
The region
3) Calculation:
We have to evaluate the integral
where
The region of
Divide the region
From the figure, see that
where,
Therefore,
By concept (ii),
Therefore,
Therefore,
Expand the sum:
Now find the area of each region
From the figure,
Therefore,
Also
From the figure, see that
Therefore,
Therefore,
Therefore,
Therefore,
Conclusion:
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Chapter 15 Solutions
Calculus (MindTap Course List)
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