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Unformatted text preview: Exercises UF Calculus Set 34 1. Evaluate the indefinite integrals. Use identities in (e) and (f). (a) Z 5- 2 x 3 d x (b) Z x (2 + x ) 2 d x (c) Z (2 + x ) 2 x 2 d x (d) Z e x + e- x e 2 x d x (e) Z [sin( x ) + cos( x )] 2 d x (f) Z 1 + cos 2 ( x ) d x 2. Respond as directed in regard to the tables featured below. (a) The first table represents the velocity v of a particle moving in a straight line, measured at 10-second intervals. Sketch the points given. Use rectangles to estimate the displacement AND total distance of the particle over the first 120 seconds using (1) 3 subintervals of equal width and the midpoint for sample points. (2) 6 subintervals of equal width and the right endpoints for sample points. (b) The second table represents the rate r at which the price of a certain company stock is changing. Sketch the points given. Use rectangles to estimate the change in the stock price over the first 96 hours using (1) 4 subintervals of equal width and the midpoint for sample points. (2) 8 subintervals of equal a width and the right endpoints for samplesample points....
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