Volume of Solid (Washer Method)

[dan38]

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

 

[ehild]

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

It is correct, but you need to include the boundaries of integration. What are they?

ehild

 

[dan38]

oh yeah, 1 and 0 would the terminals right?
sorry

 

[ehild]

Yes.

ehild