RadiationX
May6-05, 12:27 PM
I had the following question on my final exam today and i was wondering if i did it correctly:
Let y=\ln{x}\ bounded by x=eand the x-axis. Create a solid of revonution by revolving the are of R about the the line x=-1.
(a) use the cylindrical shell method.
(b) use the washer method
to find the volume of R.
We didn't have to evaluate the integrals. we just had to set them up
are my ansewers below correct? thx in advance.
\pi\int_{0}^{1}{(e^y + 1)^2-1^2}dy
\2\pi\int_{1}^e\ln{x}(x +1)dx
Let y=\ln{x}\ bounded by x=eand the x-axis. Create a solid of revonution by revolving the are of R about the the line x=-1.
(a) use the cylindrical shell method.
(b) use the washer method
to find the volume of R.
We didn't have to evaluate the integrals. we just had to set them up
are my ansewers below correct? thx in advance.
\pi\int_{0}^{1}{(e^y + 1)^2-1^2}dy
\2\pi\int_{1}^e\ln{x}(x +1)dx