Trig substitution Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/trig-substitution/quiz/

1. 1

   Integrate ∫ 1/(x²√(4 − x²)) dx

   Answer: ____________________

2. 2

   Integrate ∫ 1/(x²√(9 − x²)) dx

   Answer: ____________________

3. 3

   Integrate ∫ 1/(x² + 4)^3/2 dx

   Answer: ____________________

4. 4

   Integrate ∫ 1/(x² + 9)^3/2 dx

   Answer: ____________________

5. 5

   Evaluate ∫ from 0 to 3 of √(9 − x²) dx
   1. A) 7.07
   2. B) −7.07
   3. C) 70.7
   4. D) 0.707

6. 6

   Evaluate ∫ from 0 to 2 of √(4 − x²) dx

   Answer: ____________________

7. 7

   Integrate ∫ 1/(x²√(16 − x²)) dx

   Answer: ____________________

8. 8

   Integrate ∫ 1/(x²√(25 − x²)) dx

   Answer: ____________________

9. 9

   Integrate ∫ 1/(x² + 16)^3/2 dx

   Answer: ____________________

10. 10

    Evaluate ∫ from 0 to 4 of √(16 − x²) dx

    Answer: ____________________