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# hw9 - with the lower limit replaced by 0 and(b the integral...

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MAE294B/SIO203B: Methods in Applied Mechanics Winter Quarter 2010 http://maecourses.ucsd.edu/mae294b Homework IX Due March 11, 2010. 1 Evaluate the integrals Z - sin 2 x x 2 d x and Z - sinh 2 x x 2 d x . 2 Evaluate the integral Z - d x x 2 + 2 x + 2 by closing the contour with a large semicircle in the complex plane. Now evaluate (a) the integral
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Unformatted text preview: with the lower limit replaced by 0 and (b) the integral with log z in the numerator and the lower limit replaced by 0. [Hint: you will have to use a different contour.] 3 Evaluate the integral Z ∞ 1 log x 2-1 x 2 + 1 d x . 4 Evaluate the integral-Z ∞ tan x x d x . 1...
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