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Unformatted text preview: a the x-axis b the y-axis 3 (10 marks) a Find i csc 6 θdθ. b Find i-3-4 dx ( x 2-4) 3 / 2 . 4 (10 marks) The plot of r = cos( θ/ 2) is given in ±gure 1. Find the area of the shaded region. 5 (5 marks) Give the formula/algorithm for integration by parts, for both a de±nite and inde±nite integral that admit this form of manipulation. Justify why the algorithm is correct. 1 Figure 1: Polar curve r = cos( θ/ 2) . 2...
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- Spring '10
- Math, polar curve, Michael Lindstrom