3. Note. The following integral formulas may be useful for this question: i) | In(x) dx = x ln(x) – x + C x In? (x) – 2x In(x) + 2x + C (Here, In (x) = (In(x))?) Let R be the region bounded by y = e",...

Extracted text: 3. Note. The following integral formulas may be useful for this question: i) | In(x) dx = x ln(x) – x + C x In? (x) – 2x In(x) + 2x + C (Here, In (x) = (In(x))?) Let R be the region bounded by y = e", the y-axis and the horizontal line y = e2. Calculate the volume of the solid obtained by rotating R around the following axes. (a) The y-axis (b) The x-axis Further, set up, but do not calculate an integral that calculates the volume of the solid obtained by rotating the above defined area around the following axes: (c) y = e? (d) The vertical line x = 3