SalasSV_08_03_ex

# SalasSV_08_03_ex - 8.3 POWERS AND PRODUCTS OF TRIGONOMETRIC FUNCTIONS 467 EXERCISES 8.3 Calculate the integral 1 3 0 sin x dx/6 3/8 39 cos 4x dx 2

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8.3 POWERS AND PRODUCTS OF TRIGONOMETRIC FUNCTIONS ± 467 EXERCISES 8.3 Calculate the integral. 1. ± sin 3 xdx . 2. ± π/ 8 0 cos 2 4 . 3. ± 6 0 sin 2 3 . 4. ± cos 3 . 5. ± cos 4 x sin 3 . 6. ± sin 3 x cos 2 . 7. ± sin 3 x cos 3 . 8. ± sin 2 x cos 4 . 9. ± sec 2 π . 10. ± csc 2 2 . 11. ± tan 3 . 12. ± cot 3 . 13. ± π 0 sin 4 . 14. ± cos 3 x cos 2 . 15. ± sin 2 x cos 3 . 16. ± 2 0 cos 2 x sin 3 . 17. ± tan 2 x sec 2 . 18. ± cot 2 x csc 2 . 19. ± sin 2 x sin 2 . 20. ± 2 0 cos 4 . 21. ± sin 6 . 22. ± cos 5 x sin 5 . 23. ± 2 6 cot 2 . 24. ± tan 4 . 25. ± cot 3 x csc 3 . 26. ± tan 3 x sec 3 . 27. ± sin 5 x sin 2 . 28. ± sec 4 3 . 29. ± sin 5 / 2 x cos 3 . 30. ± sin 3 x cos x dx . 31. ± tan 5 3 . 32. ± cot 5 2 . 33. ± 1 / 3 1 / 6 sin 4 (3 π x ) cos 3 (3 π x ) dx . 34. ± 1 / 2 0 cos ( π x ) cos ( π 2 x ) dx . 35. ± 4 0 cos 4 x sin 2 . 36. ± ( sin 3 x sin x ) 2 dx . 37. ± tan 4 x sec 4 . 38. ± cot 4 x csc 4 . 39. ± sin ( 1 2 x ) cos (2 x ) dx . 40. ± 2 π 0 sin 2 ax dx , a ±= 0. 41. ± 4 0 tan 3 x sec 2 . 42. ± 2 4 csc 3 x cot . 43. ± 6 0 tan 2 2 . 44. ± 3 0 tan x sec 3 / 2 . 45. Find the area of the region R bounded by the graph of f ( x ) = sin 2 x and the x -axis, x [0, π ]. 46. The region bounded by the graph of f ( x ) = cos x and the x -axis, x [ 2, 2], is revolved about the x -axis. Find the volume of the resulting solid.

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## This note was uploaded on 10/12/2010 for the course MATH 12345 taught by Professor Smith during the Spring '10 term at University of Houston - Downtown.

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SalasSV_08_03_ex - 8.3 POWERS AND PRODUCTS OF TRIGONOMETRIC FUNCTIONS 467 EXERCISES 8.3 Calculate the integral 1 3 0 sin x dx/6 3/8 39 cos 4x dx 2

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