Math 126 Test 1 5 points each October 9, 1997

Differentiate

1.

2. f = sin(3+2x)

3. f = cos x^1/3

4. f = sec²(5-2x)

5. y = sin 8

6. y = tan²(cos(sec 6x³))

Integrate

7. º 3xy dx

8. º (x⁴ - 3) x³ dx

9. º cos 3x dx

10. º x sec 5x² dx

11.

12.

13.

14.

15. º sin² 5x dx

16.

17.

Find the area of the region bounded by:

18. y = x² - 5x + 4 and y = - (x-1)².

19. x = y² and y = x²

20. x = y³ - y² and x - y + 3 = 0