242sugprob12 - X n =1 ( x-7) n n . 3 7. Express the...

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Math 242 Suggested lab/discussion problems, Nov 22 1. Evaluate the integral Z cos x · (1 + sin 2 x ) dx . 2. Evaluate the integral Z sin 3 x cos x dx . 1
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3. Evaluate the integral Z 1 0 e arctan x 1 + x 2 dx . 4. Does the series X n =1 2 n n ! ( n + 2)! converge or diverge? 2
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5. Does the series X n =1 sin(1 /n ) n converge or diverge? 6. Find the interval of convergence of the power series
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Unformatted text preview: X n =1 ( x-7) n n . 3 7. Express the indenite integral Z x 1-x 8 dx as a power series. 8. Draw the graph of the parametric curve dened by x = t +ln t , y = t-ln t , where 0 < t < . (Hint: Find dy dx , and consider special values of t .) 4...
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242sugprob12 - X n =1 ( x-7) n n . 3 7. Express the...

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