Double integrals over rectangles Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/double-integrals-over-rectangles/quiz/

1. 1

   Double integral of xy over 0 ≤ x ≤ 2, 0 ≤ y ≤ 1

   Answer: ____________________

2. 2

   Double integral of 6 over 0 ≤ x ≤ 2, 0 ≤ y ≤ 3

   Answer: ____________________

3. 3

   Double integral of 3y² over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2

   Answer: ____________________

4. 4

   Double integral of y over 0 ≤ x ≤ 3, 0 ≤ y ≤ 2

   Answer: ____________________

5. 5

   Double integral of x + 1 over 0 ≤ x ≤ 2, 0 ≤ y ≤ 4

   Answer: ____________________

6. 6

   Double integral of x² y over 0 ≤ x ≤ 3, 0 ≤ y ≤ 2

   Answer: ____________________

7. 7

   Double integral of xy² over 1 ≤ x ≤ 3, 0 ≤ y ≤ 3

   Answer: ____________________

8. 8

   Find the volume under z = 4 − x − y over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2.

   Answer: ____________________

9. 9

   Find the volume under z = 6 − 2x − y over 0 ≤ x ≤ 1, 0 ≤ y ≤ 2.

   Answer: ____________________

10. 10

    Double integral of 3x² y² over −1 ≤ x ≤ 1, 0 ≤ y ≤ 2

    Answer: ____________________