If the finite region bounded by the curve [itex] y = \text{e}^{x} +1 [/itex], the y-axis and the line [itex] x = \ln2 [/itex] is rotatated around the x-axis by [itex] 360^{\circ} [/itex] show that the volume of the solid formed is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \frac{\pi}{2} (7 + \ln4 ) [/tex]

I did the intergral and got:

[tex] V = \pi \left[ (\text{e}^{4} + 2\text{e}^{2} +1) - (1 + 2 + 1) \right] [/tex]

But I can't see how I can manipulate it to get the required answer. Any help would be much appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Volumes of revolution

**Physics Forums | Science Articles, Homework Help, Discussion**