Lesson Worksheet: Double Integrals over Rectangular Regions Mathematics
In this worksheet, we will practice evaluating a double integral over a rectangular region by using iterated integrals.
Q1:
What is the value of the double integral ?
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- B11
- C0
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Q2:
Fill in the blank: The value of is .
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- E
Q3:
Which of the following is the value of , where is a positive integer?
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Q4:
Evaluate , where .
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- E0
Q5:
Find the value of the double integral , rounded to the nearest two decimal places.
Q6:
Evaluate over the rectangle , where . Estimate your answer to the nearest two decimal places.
Q7:
For the function , find , where .
Q8:
Find the volume of a solid bounded from above by the function and bounded from below by the rectangle .
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Q9:
Evaluate the double integral of the function over the square shown in the figure.
Q10:
If , find the value of .
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- E
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