# 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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**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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