Choose an integration method

Answer Key - Grade 12 Math Worksheet

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

1. 1.

   Ari picks a method and finds ∫ xe^(x²) dx. Which is it?

   • (x²/2)e^(x²) + C
   • (1/2)e^(x²) + C
   • e^(x²) + C
2. 2.

   Bo picks a method and finds ∫ sec²(3x) dx. Which is it?

   • (1/3) tan(3x) + C
   • 3 tan(3x) + C
   • 6 sec²(3x) tan(3x) + C
3. 3.

   Esme picks a method and finds ∫ x/(x² + 4) dx. Which is it?

   • (1/2) ln(x² + 4) + C
   • ln(x² + 4) + C
   • (x²/4) arctan(x/2) + C
4. 4.

   Jun picks a method and finds ∫ cos(4x) dx. Which is it?

   • 4 sin(4x) + C
   • −4 sin(4x) + C
   • (1/4) sin(4x) + C
5. 5.

   Kira evaluates ∫ from 0 to ln 3 of e^(2x) dx. What is it?

   4
6. 6.

   Milo evaluates ∫ from 0 to ln 5 of e^(2x) dx. What is it?

   12
7. 7.

   Pia evaluates ∫ from 0 to π/6 of 6 sin(2x) dx. What is it?

   3/2
8. 8.

   Ren evaluates ∫ from 0 to π/6 of 10 sin(2x) dx. What is it?

   5/2
9. 9.

   Tala evaluates ∫ from 0 to π/9 of 12 sin(3x) dx. What is it?

   2
10. 10.

    Zee evaluates ∫ from 0 to π/15 of 20 sin(5x) dx. What is it?

    2