Consider the definite integral: [fun] (11 [a] Sketch the region whose net area is represented by this integral. lb) Estimate the value of the definite integral using 3 rectangles; use the right-hand endpoints to compute the rectangle heights. lc) 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 {bl and (a). [e] Use the Product Rule to verify that: ilxlnx x] = In: [1'] Use the result in part (e) to find the exact value of the integral using the Fundamental Theorem of Calculus. please solve on a paper, if possible