In Problems 1-5, let R be the region bounded by y =JE, y = 1, and x = 4. Each problem will describe a solid generated by rotating R about an axis. Wlite an integral expression that can be used to nd the volume of the solid (do not evaluate}. '1} The solid is generated by rotating R about the xaxis. 2} The solid is generated by rotating R about the yaxis. 3} The solid is generated by rotating R about y = 1. at} The solid is generated by rotating R about I = 2. 5} The solid is generated by rotating R about y = 3. In Problems 11-15. let R be the region bounded by the lines y = Ex 4, y = E. and x = 2_ Each problem will describe a solid generated by rotating R about an axis. Find the volume of that solid {you Q evaluate these problems]. 1 1] The solid is generated by rotating R about the x-axis. 12] The solid is generated by rotating R about the y-axis. 13] The solid is generated by rotating R about I = 2. 14] The solid is generated by rotating R about y = 3. In Problems 6-10, let R be the region bounded by y = x' + 1 and y = x + 1.Each problem will describe a solid generated by rotating R about an axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 6) The solid is generated by rotating R about the y-axis. 7) The solid is generated by rotating R about the x-axis. 8) The solid is generated by rotating R about x = 1. 9) The solid is generated by rotating R about y = 2. 10) The solid is generated by rotating R about x = -3