Some Choices Are Better Than Others Evaluate sin x cos2 x dx in two ways. First use u =

Chapter 5, Problem 78

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Some Choices Are Better Than Others Evaluate sin x cos2 x dx in two ways. First use u = sin x to show that sin x cos2 x dx = u 1 u2 du and evaluate the integral on the right by a further substitution. Then show that u = cos x is a better choice.

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