Evaluate definite integrals

Answer Key - Grade 12 Math Worksheet - Challenge Me

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

1. 1.

   Esme evaluates ∫ from 0 to 2 of (eˣ + 3) dx. Round to the nearest hundredth. What is it?

   12.39
2. 2.

   Jun evaluates ∫ from 0 to 0.5 of (eˣ + 4) dx. Round to the nearest hundredth. What is it?

   2.65
3. 3.

   Luz evaluates ∫ from 0 to 1.5 of (eˣ + 6) dx. Round to the nearest hundredth. What is it?

   12.48
4. 4.

   Noah evaluates ∫ from −1 to 1 of x⁵ dx. Which is right?

   • ∫ from −1 to 1 of x⁵ dx = 1/3
   • ∫ from −1 to 1 of x⁵ dx = 1/6
   • ∫ from −1 to 1 of x⁵ dx = 0
5. 5.

   Ren evaluates ∫ from −π to π of sin x dx. Which is right?

   • ∫ from −π to π of sin x dx = 2
   • ∫ from −π to π of sin x dx = 4
   • ∫ from −π to π of sin x dx = 0
6. 6.

   Zee evaluates ∫ from −3 to 3 of x dx. Which is right?

   • ∫ from −3 to 3 of x dx = 0
   • ∫ from −3 to 3 of x dx = 9/2
   • ∫ from −3 to 3 of x dx = 9
7. 7.

   Tala needs ∫ from 0 to b of 4x dx = 18, with b > 0. What is b?

   3
8. 8.

   Pia needs ∫ from 0 to b of 6x dx = 75, with b > 0. What is b?

   5
9. 9.

   Esme needs ∫ from 0 to b of 8x dx = 64, with b > 0. What is b?

   4
10. 10.

    Jun needs ∫ from 0 to b of 10x dx = 20, with b > 0. What is b?

    2