The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as indicated in the figure.Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.)

2Solution or ExplanationClick to View SolutionThe region bounded by the curves is rotated about the x-axis. Use Simpson's Rulewith n= 8 to estimate the volume of the resulting solid. (Round your answer to one decimal place.)7.0 7.0 cubic unitsSolution or ExplanationClick to View Solutiony= 2e−3/x, y= 0, x= 1, and x= 5

Math 125 HW_6C[3/21/2012 1:35:06 AM]Solve the following integrals. (a) = + C(b) = (c) = (d) = + C(e) = (f) = + C(g) = (h) = (i) = xdxx2+1e−dx4x0dx154−x20dx}x5−xdx81x+x1/31sec2(7x) tan4(7x) dxdx525 − x20x− 2dx50x2− 6x+ 8 dx40

Math 125 HW_6C[3/21/2012 1:35:06 AM](c) partial fractionsintegration by parts inverse trig substitutionsubstitution with u= x225x2sin(3x) dxinverse trig substitutionintegration by parts partial fractions

7.12/14 points| Previous AnswersFor each of these integrals, choose the method that will work best on the integral. You do not have to compute the integrals. (a) (d) dx4x2− 25partial fractionsintegration by partssubstitution with u= x225substitution with u= xdx4x2− 25

C

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(b) (c) partial fractionsintegration by parts inverse trig substitutionsubstitution with u= x225x2sin(3x) dxinverse trig substitutionintegration by parts partial fractions

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