I always draw a sketch...this makes things clear...
The volume of an arbitrary shell is given by:
Hence:
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.x = 5 + y^{2}, x = 0, y = 1, y = 2
I am unsure how to tackle this one.
I tried rearranging the above equation to y^2=x-5 and the obtaining the necessary x values at the above y values, these were 9 and 6. So then i did the integral from 9 to 6 of pi multiplied by x-5 and this came out to be incorrect.