Unformatted text preview: SECTION number as well as your TA’s name. Otherwise, your homework will be easily got lost due to the size of the class. 1. Estimate the minimum number of subintervals needed to approximate the integral Z 2 sin ( x + 1) dx with an error of magnitude less than 104 by (a) the Trapezoidal Rule and (b) Simpson’s Rule. 2. Evaluate the improper integral Z 1 t + 1 √ t 2 + 2 t dt 3. Determine whether the integral Z ∞ 1 dx √ 2 x 3 + 10 x5 is divergent or convergent. Justify your answers. 1...
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 Spring '08
 Vershynin
 Calculus, TA, Riemann integral, Henstock–Kurzweil integral, Section number TA

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