Question

11. (7pts) Set up an expression for | 2*3z* dr as a limit of sums. (That is, set up the infinite Riemann sum.) You do not have to evaluate the sum! 12. (10pts)Find the area between the curves f(x) = -2x and g(x) = x2 + 7x + 6. 13. (10pts) Find the volume of the solid obtained by rotating the region bounded by y = Væ+3, x = 4, and y = 0 about the x-axis.

Answer 1

h a) We disim indefinitu integral of fas as follows Sflus de - s fund clim ( xo E f (th) slimo na f(o4 (1.01)] S falda clim 2 Ef (th) k=1 n V K-1 Nowe, 3 f(x) = 24, 3X² 5 243.13 da - elimo Ž $24.3. (1) x x ² (kx) K=1 clim X 24 3 no K=1 4 ka 3 clim 3.2 h-o 2 E KE) (12) f(x) = -2X g(x) = x² + 7X+6 = (1 + 3) +6-49 - (+ )2-3 N L 37 -37 y=-22

intersecting boint of fexs e gix) 6 - 2 ) 9046 기 : -95681-20 21 -957 1457 22 A. M S s dy day 3 -95714 ~9457 x - x²-72-6 ) da -9-VSA 2 -947 2 - - 1 - 2 -9-555 2 -17 -9457 94V5F 13 -94ST 2 2. 2 -9-15 1-05 3 9VSJ 6 + 2 2 2 2 3 J (2 J - (94 D -- 4 | 원 + - 9457 ] - [ 14 (2) () + () + 3 (3)(g)] - ( 4 - [ 37] [12) + () 6 6V5A 2. 1 9 ㅏ + 55 4955 +3

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