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Exercise 2: Complete these example in order to work on the next exercise A) Carefully read through/work through Example 4 in Section 7.1 of the

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Exercise 2: Complete these example in order to work on the next exercise A) Carefully read through/work through Example 4 in Section 7.1 of the textbook (on page 514). Something interesting happens in this example. You have to apply Parts twice, but then after applying Parts the second time the integral that remains that you still need to work is a constant multiple of the original integral! You can then "solve for" the original integral to complete the probEem. Use this same approach to compute the integral below: [675 sin(3:c) dz B) Use Integration by Parts to evaluate the integral below, letting u = ln(cosm) and do = sinm dm. [sine - ln(cos w) dw C) Region R is bounded by the curves given below: y=eh, w=0, w=3, and y=0 Sketch the region (which you should be able to do without a graphing device but which you can check using Geogebra). Then use the method of cylindrical shells to nd the volume generated by rotating region R about the y-axis. (Hint: The integral you'll need to compute will require integration by parts!)

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