Worksheet_1.5 - Calculus II Spring 2009 Worksheet 1.5 Evaluate the integral 3 4 x sin(x dx 4 Solution Using the integration by parts formula b b

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Calculus II Spring 2009 Worksheet 1.5 Evaluate the integral Z 3 π 4 π 4 x sin ( x ) dx. Solution. Using the integration by parts formula Z b a udv = uv | b a - Z b a vdu one writes Z 3 π 4 π 4 x sin ( x ) dx = Z 3 π 4 π 4 x d dx ( - cos ( x )) dx = x ( - cos ( x )) | 3 π 4 π 4 - Z 3 π 4 π 4 ( - cos ( x )) · 1 dx = 3 π 4 ( - 1) ± - 1
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This note was uploaded on 02/09/2009 for the course MATH 1020 taught by Professor Ecker during the Spring '08 term at Rensselaer Polytechnic Institute.

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