Let R be the region between the curve y = 5/x^2/3 and the x axis on the interval [2, ?[the graph is givena) The surface of the region R corresponds to the following improper integralDetermine if this improper integral converges or diverges. If it converges, find its valueIf it converges, find its value exact. Your answer must be well justified.b) Let S be the solid obtained by rotating the region R around the x axis. Give an expression for the approximate volume ?V (x) of the thin slice of S that lies between x and x + ?x, where its thickness ?x is assumed to be small.c) Give an improper integral that calculates the total volume of the solid S and determine if it converges or diverges. If it converges, find the exact volume of the solid S. Your answer must be well justified and use the appropriate mathematical notation.