MAC 2312 Midterm: MAC2312 F97 Test 1

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31 Jan 2019
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Instructions: write your answers on the answer sheets, not on this paper. To receive credit, you must show all work: find the following integrals. 4 x ex + sin x dx (a) z 2. X (b) z sin4 8x cos 8x dx (c) z 1 (d) z 1 (e) z. 1 + cos2 x t + 1 dx dt. 0 f (x) dx, where f (x) =(1 + x. 2x 4px3 5 : determine the intervals on which f (x) = x2 ln x is increasing and decreasing. Find and classify all local maxima and minima.

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