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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:
[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.
[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.
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