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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

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.

Ask a homework question - tutors are online