SampleMT1-2 - -1 dx . 4. Determine how large must we choose...

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Practice Midterm Exam #2 1. Evaluate the integral ± x 2 ( x + 1) 3 dx. 2. Evaluate the integral ± x 1 + x + x dx. 3. Determine whether each of the improper integrals is convergent or divergent. Evaluate the integrals which are convergent (a) ± 1 - 1 x + 1 3 x 4 dx . (b) ± 2 x x 2
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Unformatted text preview: -1 dx . 4. Determine how large must we choose n to evaluate 3 / 4 ln(cos x ) dx with an error less than 0 . 0004 using midpoint approximation. 5. Find the arclength of the curve y = x 3 6 + 1 2 x , 1 x 2....
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