Math 125 Final Exam Part I 4 points each 5-1-06

Instr: K. W. Nicholson (Please Circle your answers!)

Differentiate

1. y = π²

2. y = 5csc 3x

3. y = tan x³

4. y = cot⁴ x²

5. y = csc (3/x)

6. y = sin (x / 4)

7. y = x⁴ sin 3x

8. y = ln (3x² - 5)

9. y = e^{cos x}

10.

11. y = log₆ 6 ^3x

12.

Integrate

1. ∫ 3 dy

2. ∫ x dx

3. ∫ sec 2x tan 2x dx

4. ∫ 4x³ dx

5.

6. ∫ (5x⁴ - 6x² + 8) dx

7.

8. ∫ cos 4x dx

9. ∫ 3e^2x dx

10.

11. ∫ tan² 3x dx

12.

13.