Let R be the region bounded by the curves y = e , y = 0, x = 0, and x = In 4. (a) Draw a picture and shade the region R. (b) Calculate the volume of the solid obtained by rotating R about the line y...

Extracted text: Let R be the region bounded by the curves y = e , y = 0, x = 0, and x = In 4. (a) Draw a picture and shade the region R. (b) Calculate the volume of the solid obtained by rotating R about the line y -2. Write your answer as a reduced fraction (possibly involving T).