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WA9 - Robert E Goode MAT-231-GS004 Mentor Dr Paoletti...

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Robert E Goode MAT-231-GS004 Mentor: Dr. Paoletti 10/29/2011 Writing Assignment #9 Section 5.4 (10,14,18,28,32,38,40), Section 5.5 (14,30,52,62,88,92,102,106,110), Section 5.7 (6,8,20,30,54) Section 5 .4 (10,14,18,28,32,38,40) 10. ᶋ(3x 2 +5x-4)dx = x 3 +5x 2 /2 – 4x = 27 +45/2-12 = 38 14. ᶋ(u-1/u 2 )du = u 2 /2 +1/u = ½-1 = -2 18. ᶋ√(2/x)dx = √2ᶋx -1/2 dx = [√2(2)x 1/2 = 8-2√2 28 ᶋ1-sin 2 θ/cos 2 θ dθ = ᶋdθ = π/4 32. ᶋ(X+1)/x dx = ᶋ(1+1/x)dx = [X+lnx] = (5+ln5) – (1+ln 1) = 4 +ln 5 38. ᶋ(cosx -1/x)dx = [sinx-lnx] = [sin(2e) – ln(2e)] – [sin€ - ln(e)] = sin (2e) – sin € -ln 2 40. A= ᶋ(1-x 4 )dx = [x-1/5 (X) 5 ] = 8/5 Section 5.5 (14,30,52 ,56,62,88,92,102,106,110) 14.

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ᶋx(4X 2 +3) 2 dx = 1/8ᶋ(4x 2 +3) 2 (8x)dx = 1/8[(4x 2 +3) 3 /3] + C = ((4x 2 +3) 3 /24) + C check d/dx[(4x 2 +3) 3 /24 +C] = 3(4x 2 +3) 2 (8x)/24 = x (4x 2 +3) 2 30. ᶋ(t+2t 2 /√t)dt = ᶋ(t 1/2 +2t 3/2 )dt = 2/3t 3/2 +4/5t 5/2 +C = 2/15 t 3/2 (5+6t)+C check: d/dt[2/3t 3/2
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WA9 - Robert E Goode MAT-231-GS004 Mentor Dr Paoletti...

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