The discussion revolves around finding the volume of a solid formed by rotating a region in the xy-plane, specifically bounded by the curves x = 0 and x = y - y², about the y-axis. The subject area pertains to calculus, particularly the application of the washer or disk method for volume calculation.
The discussion is progressing with participants verifying steps and confirming the boundaries of integration. Some guidance has been provided regarding the need to specify these boundaries, and there is acknowledgment of the correct approach being used.
Participants are working under the constraints of homework guidelines, which may limit the extent of assistance provided. The need for clarity on integration limits is a point of focus in the discussion.
It is correct, but you need to include the boundaries of integration. What are they?dan38 said:Homework Statement
Just need to verify that my working is correct ^^
Need to find the volume given by the region of the xy-plane that is bounded by the curves
x = 0 and x = y − y2 .
Rotated about y-axis
Homework Equations
The Attempt at a Solution
I used the disk method.
V = pi * ∫ (y-y^2)^2 dy
Since outer radius is the curve and inner is y = 0