Math 1042 - Test 2 Review

Math 1042 - Test 2 Review - Math 1042 Section 7.3 3....

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Section 7.3 3. Evaluate the integral sin 3 θ cos 2 θ dθ . Do not use reduction formulas. 7. Find the area of the shaded region in Figure 1 . FIGURE 1 Graph of y = cos 3 x In Exercises 9–33, evaluate the integral. Do not use reduction formulas. 10. cos 2 θ sin 2 θ 17. tan 2 t dt 23. cos 4 (3 x ) dx 27. sin 4 (3 x ) dx 29. sec 7 t dt 32. tan 3 θ sec 3 θ 33. tan 5 x sec 4 x dx 61. Find the volume of the solid obtained by revolving y = sin x for about the x -axis. Section 7.4 In Exercises 1–3, evaluate the integral by following the steps. 1. (a) Show that the substitution x = 3 sin θ transforms I into and evaluate I in terms of θ . (b) Evaluate I in terms of x . 2. (a) Show that the substitution transforms the integral I into and evaluate I in terms of θ . (b)
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This note was uploaded on 06/05/2009 for the course 1 1 taught by Professor 1 during the Spring '09 term at Adventista de las Antillas.

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Math 1042 - Test 2 Review - Math 1042 Section 7.3 3....

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