Calculus 5e_Part211

Recall that an integral xab f x d x can be expressed

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Unformatted text preview: below the axis and above the curve. Thus, part (b) says the integral is 0 because the areas cancel. (a) ƒ even, j ƒ dx=2 j ƒ dx 1–6 a 0 u y a 0 f u so Equation 9 gives f x dx a y f x dx a u (b) If f is odd, then f y a y 9 s sx u 1 u 2 3x 3 4 dx 2 1 20 2x 2 3x 1 5 dy dx y 12. y 14. 4x x 3 2y yx 10. dx dx 2x 8. y 16. y 18. yy 2 x3 5 9 dx x 6 dx 2 x x2 1 x x2 1 2 dx 1 5t 4 dx 2.7 dt sin s s s s s s s s t dt 3 s2y 4 1 dy S ECTION 5.5 THE SUBSTITUTION RULE 19. 21. 23. 25. 27. 29. 31. 33. y sin 22. dx ye x sin z 26. d 28. e x dx s1 y s1 24. 6 y cos 55. y 6 y 57. tan x dx x2 y1 30. dz z3 dx 32. y x ln x 2 34. y scot x csc x dx x3 y sx sin 1 y 1 ye cos t dx 61. ax b 2bx 2 ex x c dx 1 cos x dx x2 y sin x dx cos2x 35. y cot x d x 36. y 37. y sec3x tan x dx 38. y sx 3 1 y y y 69. dx y 65. d y 3 0 2 60. e4 2 62. 1 dx 64. y 66. y 68. y 70. y dx x a 2 3 x sx 2 0 s 1 2 a 2 dx s a s 0 s s s 2 2 0 3 x2 xe y 2x dx x sln x 4 0 2x y dx x sx e y 421 dx 2 0 0 3 s1 1 y 58. sin d cos2 13 0 s 56. e1 x dx x2 2 y...
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This note was uploaded on 12/27/2013 for the course MATHEMATIC 135 taught by Professor Lam during the Fall '07 term at University of Toronto- Toronto.

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