Question

Find the centroid of the region in the first quadrant bounded by the given curves.

Answer 1

\[y = x^3, x = y^3\]

Answer 2

any thoughts ?

Answer 3

Find the area in order to set up the integration from a to b, but no idea on how to find them algebraically by setting them equal to each other.

Answer 4

If you the points of intersection, it will give you your bounds. Try substituting the second equation so you can find the y-intersection and then you can rule out answers given that it's in the first quadrant

Answer 5

did you sketch the region ?

Answer 6

No, my graphing skills are very bad, if I were to sketch this -- start sketching this by plotting points?

Answer 7

yes, just a few. for
y= x^3
try x=0, ½, 1