Evaluate definite integrals

Answer Key - Grade 12 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Esme evaluates ∫ from 1 to 3 of (4x + 1) dx. What is it?

   18
2. 2.

   Jun evaluates ∫ from 1 to 2 of (6x − 2) dx. What is it?

   7
3. 3.

   Kira evaluates ∫ from 2 to 4 of (2x + 5) dx. What is it?

   22
4. 4.

   Luz evaluates ∫ from −1 to 1 of (8x + 3) dx. What is it?

   6
5. 5.

   Which line correctly starts ∫ from 1 to 3 of 2x dx, for Milo?

   • [x²] from 1 to 3 = 1 − 9
   • [x²] from 1 to 3 = 9 − 1
   • [2] from 1 to 3 = 2 − 2
6. 6.

   Which line correctly starts ∫ from 1 to 2 of 3x² dx, for Noah?

   • [6x] from 1 to 2 = 12 − 6
   • [x³] from 1 to 2 = 8 − 1
   • [x³] from 1 to 2 = 1 − 8
7. 7.

   Which line correctly starts ∫ from 0 to π/2 of cos x dx, for Ren?

   • [sin x] from 0 to π/2 = 0 − 1
   • [−sin x] from 0 to π/2 = −1 − 0
   • [sin x] from 0 to π/2 = 1 − 0
8. 8.

   Pia evaluates ∫ from 0 to 4 of x³ dx. What is it?

   64
9. 9.

   Esme evaluates ∫ from 0 to 6 of x³ dx. What is it?

   324
10. 10.

    Jun evaluates ∫ from 0 to 3 of x³ dx. What is it?

    81/4