Region R is bounded by curve y=x^2 , y=1/x and the line x=1/2 . Calculate the volume of the solid formed by rotating region R through 360 degree about
a) the x-axis
b) the y-axis
Region R is bounded by curve y=x^2 , y=1/x and the line x=1/2 . Calculate the volume of the solid formed by rotating region R through 360 degree about
a) the x-axis
b) the y-axis
My problem is where is the region R in the graph?
a.) Around the x-axis, we have the bounds as because .
Note that here.
So
b.) I'd break it up into two integrals. Note that the functions are now and
intersects at
intersects at
intersects at
So we have
Last edited by redsoxfan325; May 6th 2009 at 10:58 AM.
Reason: I made a stupid mistake
Region R is bounded by curve y=x^2 , y=1/x and the line x=1/2 . Calculate the volume of the solid formed by rotating region R through 360 degree about
a) the x-axis
b) the y-axis
Yeah, it should be . I fixed my above post. My only excuse is that it was late at night when I answered you, but still unexcusable. Sorry if I made you waste your time.