calculus-2-assignment-2.pdf - Jacobs University Bremen Prof...

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Jacobs University Bremen Fall Semester 2017 Prof. Dr. T. Preusser Calculus II Assignment Sheet 2. Due: Nov 13, 2017 Problem 4 [10 Points]: Find the most general anti-derivative: a) Z ✓ 3 3 p x + 3 3 p x dx b) Z x 3 + x 2 - x x 3 / 2 dx Problem 5 [10 Points]: Consider the problem of calculating the area bounded by the curve y = x 2 , the x -axis, and the lines x = a and x = b : Use a regular partition of [ a, b ] into n sub-intervals, Let x i be the right-hand endpoint of each sub-interval, Estimate A b a for 4 , 8 , 16 and 32 sub-intervals,
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