# Chap7evenanswers(1) - cos 2 x . 46. Use a trigonometric...

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. MATH 1042 Chapter 7 Even Homework Answers Section 7.2 4) 1 4 x sin (4 x ) + 1 16 cos (4 x ) + C 6) x tan - 1 x - 1 2 ln | 1 + x 2 | + C 12) - 1 3 x 2 cos (3 x + 1) + 2 9 x sin (3 x + 1) + 2 27 cos (3 x + 1) + C 24) x cos - 1 x - 1 - x 2 + C 50) π 4 - ln 2 2 56) Algebraic manipulation (write as a sum of powers of x ) Section 7.3 2. - cos x + 2 cos 3 x 3 - cos 5 x 5 + C 10. 1 8 θ - 1 32 sin (4 θ ) + C 26. - cos 499 y 499 + cos 501 y 501 + C 32. sec 5 θ 5 - sec 3 θ 3 + C 36. tan 9 x 9 + tan 7 x 7 + C 38. tan x + C 52. 8 3 Section 7.4 2. x 2 - 2 2 x + C 4. 1 16 tan - 1 ( x/ 2) + x 8( x 2 + 4) + C 6. π 12 - 3 8 44. Trigonometric method: let u = sin x (or cos x ) and use sin 2 x = 1 -
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Unformatted text preview: cos 2 x . 46. Use a trigonometric substitution with 2 x = sec θ . 48. Use a u-substitution with u = x/ 3 or a trigonometric substitution with x = 3 sin θ . 50. Use integration by parts with u = ln x and dv = dx . 54. π 4 Section 7.6 28. x + ln | x | -3 ln | x + 1 | + C 30. 2 ln | x-1 | + 1 2 ln ( x 2 + 1)-3 tan-1 x + C...
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## This note was uploaded on 04/19/2011 for the course MATH 1042 taught by Professor Dr.z during the Spring '08 term at Temple.

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