Definite integrals and area Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus/definite-integrals-and-area/quiz/

1. 1

   Evaluate ∫ from 1 to 3 of (2x + 1) dx

   Answer: ____________________

2. 2

   Evaluate ∫ from 0 to 3 of 2x dx

   Answer: ____________________

3. 3

   Evaluate ∫ from 0 to 1 of (x² + 1) dx

   Answer: ____________________

4. 4

   Evaluate ∫ from −1 to 1 of (x² + 2) dx

   Answer: ____________________

5. 5

   Evaluate ∫ from 2 to 4 of (x − 1) dx

   Answer: ____________________

6. 6

   Find the area under y = x² from x = 0 to x = 3.

   Answer: ____________________

7. 7

   Find the area under y = x² + 1 from x = 1 to x = 2.

   Answer: ____________________

8. 8

   Find the area between y = 4 − x² and the x-axis.

   Answer: ____________________

9. 9

   Find the area between y = 1 − x² and the x-axis.
   1. A) area = 43 square units
   2. B) area = 0 square units
   3. C) area = −43 square units
   4. D) area = 1 square units

10. 10

    Find the area between y = −x² + 4x and the x-axis.

    Answer: ____________________