Evaluate the line integral Z C xy ds, where C is given by the line y = ln x, 1 ≤ x ≤ e. [7] The answers to only som

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Evaluate the line integralZCxy ds,where C is given by the line y = ln x, 1 ≤ x ≤ e. [7]The answers to only some of the questions will be marked. You are advised to do all the questionssince those you leave might be the ones that will be marked.(a) (Sections 3.2,13.3,13.7,14.3,14.6,14.7)Consider the integralZ 1−1Z √1−x201 − y2dy dx.i. Sketch the region of integration. (3)ii. Give a geometric interpretation of the above integral by using a 3-dimensional sketch.(4)iii. Transform the above integral to a double integral with polar coordinates (Do notevaluate the integral).