Double integrals over general regions Quiz

Name: ______________________   Date: __________   Score: ____ / 10

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

1. 1

   Double integral of x over the region between y = x² and y = x
   1. A) 0
   2. B) 1
   3. C) 112

2. 2

   Double integral of y over 0 ≤ x ≤ 1, x² ≤ y ≤ x

   Answer: ____________________

3. 3

   Double integral of x + y over 0 ≤ x ≤ 1, x² ≤ y ≤ x

   Answer: ____________________

4. 4

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

   Answer: ____________________

5. 5

   Double integral of 1 over the region between y = x and y = x²
   1. A) 0
   2. B) 1
   3. C) 16

6. 6

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

   Answer: ____________________

7. 7

   Double integral of x over the region between y = x² and y = 2x
   1. A) 43
   2. B) 2
   3. C) 0

8. 8

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

   Answer: ____________________

9. 9

   Double integral of x + 2y over the region between y = x² and y = 2 − x²
   1. A) 0
   2. B) −163
   3. C) 1
   4. D) 163

10. 10

    Double integral of 4xy over 0 ≤ x ≤ 1, x³ ≤ y ≤ x

    Answer: ____________________