Find the indefinite integral. (Use C for the constant of integration. ) H dx x2 - 4x + 7Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C for the constant of integration.) x3 In(x) dx; u = In(x), dv = x' dxFind the indefinite integral using integration by parts with the given choices of u and dv. (Use C for the constant of integration.) x cos 2x dx; U = X, dv = cos 2x dx\fUse a graphing utility to graph the region bounded by the graphs of the equations. Then find the area of the region analytically. (Round your answer to three decimal places.) y = 2xe'x :I ,y=0,x=7