q2-sect7-F-2011

q2-sect7-F-2011 - PRINT Your Name: Quiz 2 — August 26,...

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Unformatted text preview: PRINT Your Name: Quiz 2 — August 26, 2011 – Section 7 – 10:10 – 11:00 Remove everything from your desk except a pencil or pen. Circle your answer. Show your work. coherent. CHECK your answer. The quiz is worth 5 points. Find Your work should be correct and sin3 x cos2 xdx. Answer: Save one sin x. Convert the remaining sin2 x into cosines using sin2 x + cos2 x = 1. The original problem is equal to (1 − cos2 x) cos2 x sin xdx. Let u = cos x. It follows that du = − sin xdx. The original problem is equal to − (1 − u2 )u2 du = − =− (u2 − u4 )du = −(u3 /3 − u5 /5) + C cos3 x cos5 x − 3 5 +C . Check: The derivative of the proposed answer is −(cos2 x(− sin x) − cos4 x(− sin x)) = cos2 x sin x(1 − cos2 x) = cos2 x sin3 x ...
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