3. Note. The following integral formulas may be useful for this question: i) In(x) de = rln(r) - r + C 1) ( In? (x) do = zin?(2) - 2x In(z) + 2x + C (Here, In? (z) = (In(z))?) 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 r-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 = e2 (d) The vertical line x = 3