Evaluate the following definite integrals. Show all of your work. 1. x+2-5e)dx xxzx-Se* 2. Sxx-xx-54-*ax (x-zx-se)...
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Evaluate the following definite integrals. Show all of your work. 1. x+2-5e)dx xxzx-Se* 2. Sxx-xx-54-*ax (x-zx-se) xxxzx-sexdy x-zax-sexax. (+) dx 3.14 ** dx (200(1x1)+44) se -592474 zen (14)+44-((111) = 4NT) (Men(2)+4 Evaluate each of the following indefinite integrals. Show all of your work. 63. [(5cosx 3sinx)dx Sscus (x) dx-535IN (r)dx sin(x)-5(x)dx SSIN (X) + 3 cus(x). 4.7xxdx $5. 7 x S x x x x x 7xx.xxxx 7 x 5 x 7 x ax +2 secx)dx Zarzan (x) + Szec (x) ax 2 arc tan(x)+2tan (x) ssin(x) + 3 cos (x) + C 7 x 3xx 3x + C (4)(4)(4) GRAPH 6. Determine the area between the curve y-x-6x+8 and the x-axis on the interval [0,4]. Sketch a graph of the region involved and show all of your work. So" (x-6x+) x So (x-6x+8)x -52" (x-6x+8) x (/3-3x+8x) (x/3 - 3x + 8) / 2. 7. Determine the value from the graph shown. You may assume that the middle section is a semicircle and the left and right portions of the graph are line segments. a) f(x)dx 5- 28(x) = ((1)) - 2 b) f(x)dx dr S fax) ax = (x)) = 1/ c) f(x)dx S- F(x) ar=-((*)(4)) = -4 d) f(x)dx x + 5% f(x) ax + S f ( x ) ax So f(x) dx = 5, 26 f(x) axt. =27 + ( ) 4 = 6.78) e) Determine the total area between the curve y-f(x) on the interval [-6, 5]. 27+(14=14.78) Evaluate the following definite integrals. Show all of your work. 1. x+2-5e)dx xxzx-Se* 2. Sxx-xx-54-*ax (x-zx-se) xxxzx-sexdy x-zax-sexax. (+) dx 3.14 ** dx (200(1x1)+44) se -592474 zen (14)+44-((111) = 4NT) (Men(2)+4 Evaluate each of the following indefinite integrals. Show all of your work. 63. [(5cosx 3sinx)dx Sscus (x) dx-535IN (r)dx sin(x)-5(x)dx SSIN (X) + 3 cus(x). 4.7xxdx $5. 7 x S x x x x x 7xx.xxxx 7 x 5 x 7 x ax +2 secx)dx Zarzan (x) + Szec (x) ax 2 arc tan(x)+2tan (x) ssin(x) + 3 cos (x) + C 7 x 3xx 3x + C (4)(4)(4) GRAPH 6. Determine the area between the curve y-x-6x+8 and the x-axis on the interval [0,4]. Sketch a graph of the region involved and show all of your work. So" (x-6x+) x So (x-6x+8)x -52" (x-6x+8) x (/3-3x+8x) (x/3 - 3x + 8) / 2. 7. Determine the value from the graph shown. You may assume that the middle section is a semicircle and the left and right portions of the graph are line segments. a) f(x)dx 5- 28(x) = ((1)) - 2 b) f(x)dx dr S fax) ax = (x)) = 1/ c) f(x)dx S- F(x) ar=-((*)(4)) = -4 d) f(x)dx x + 5% f(x) ax + S f ( x ) ax So f(x) dx = 5, 26 f(x) axt. =27 + ( ) 4 = 6.78) e) Determine the total area between the curve y-f(x) on the interval [-6, 5]. 27+(14=14.78)
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