SampleMT1-3 - ± ∞ e dx x(ln x 2 4 Evaluate the integral...

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Practice Midterm Exam #3 1. Find the partial fraction decomposition of the function x + 1 x 2 ( x 2 + 1) . 2. Evaluate ± x - 3 e 1 x dx. 3. Determine whether the integral is convergent or divergent. Evaluate it if it is convergent.
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Unformatted text preview: ± ∞ e dx x (ln x ) 2 . 4. Evaluate the integral ± (cos 4 x-sin 4 x ) dx. 5. Find the surface area of the surface of revolution about x-axis for y = sin x , 0 ≤ x ≤ π ....
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