Question: (a) Sketch the region whose net area is represented by this integral. (b) Estimate the value of the definite integral using 3 rectangles; use the

(a) Sketch the region whose net area is represented by this integral. (b) Estimate the value of the definite integral using 3 rectangles; use the right-hand endpoints to compute the rectangle heights. (c) Estimate the value of the definite integral using 3 rectangles; use the left-hand endpoints to compute the rectangle heights. (d) Estimate the value of the definite integral by averaging your answers from parts (b) and (c). (e) Use the Product Rule to verify that: :7: [xlnx x] = but (f) Use the result in part (e) to find the exact value of the integral using the Fundamental Theorem of Calculus. \f

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