quizsoln12 - c 4 x cos x dx(Hint Use integration by parts...

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Name:___________________________ Math 155 Quiz 12 28 November 2006 Instructions : This quiz is closed book and closed notes. You may use a calculator. Label your answers and SHOW ALL WORK! Calculate the following integrals 1. x 3 - 3 x 2 + 4 ° dx Rewrite: x 3 - 3 x - 2 + 4 ( ) dx = x 4 4 + 3 x - 1 + 4 x + c 2. e x + 1 x - p ° dx = e x + ln x - px + c 3. x x 2 - 4 dx (Hint: Use substitution and show your work) u = x 2 - 4 du = 2 xdx Rewrite: 1 2 2 x x 2 - 4 dx = 1 2 1 u
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Unformatted text preview: c 4. x cos( x ) dx (Hint: Use integration by parts and show your work) u = x dv = cos( x ) dx du = dx v = sin( x ) = x sin( x ) -sin( x ) dx = x sin( x ) + cos( x ) + c EXTRA CREDIT (2 pts) Evaluate the following integral x e x dx Rewrite: xe-x dx u = x dv = e-x dx du = dx v = -e-x = -xe-x + e-x dx = -xe-x-e-x + c...
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