Coordinates of the centroid of the lamina - problem with finding limits

[Matthias85]

1. The problem statement, all variables and given/known data
The question asks me to find the coordinates of the centroid of a uniform lamina enclosed by curve y=1-x^2.
X axis and Y axis are in the 1st quadrant.

Can you please tell me how to work out the limit for this equation?

[tiny-tim]

Hi Matthias85! :wink:

Show us what method you're using, and where you're stuck, and then we'll know how to help! :smile:

[Matthias85]

Thanks for quick reply.
I am not using any method as I have no idea how to workout limits.

Previous question gave me limits, this says that x-axis and y-axis are in the 1st quadrant instead.

[tiny-tim]

The question asks me to find the coordinates of the centroid of a uniform lamina enclosed by curve y=1-x^2.
X axis and Y axis are in the 1st quadrant.
Previous question gave me limits, this says that x-axis and y-axis are in the 1st quadrant instead.

ah, no, that doesn't make sense :redface:

i think it must mean "the region under y=1-x2 and in the first quadrant" (so its other two edges are the x and y axes) …

so the limits are from x (or y) = 0 to where that curve crosses the axis :wink: