Question: 5. Consider the integral / cosx sin x dx. (a) Using the substitution u = sin x, show that / cosa sin x dx =

 5. Consider the integral / cosx sin x dx. (a) Using

5. Consider the integral / cosx sin x dx. (a) Using the substitution u = sin x, show that / cosa sin x dx = = NIK - sin'x + C. (b) Using the substitution u = cost, show that / cosa 1 cos x sin x dx = - cos' x + C. 2 (c) Explain why, although these answers look different, they are really the same

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