Find the exact coordinates of the centroid for the region bounded by the curves x=5-y^ 2 and x=0
I am not sure about this one because it uses dy instead of dx i think.
I tried to set it up like this
x= [0.5∫(5-y^2)^2 dy from -5 to 5]/[ ∫(5-y^2)dy from y=-5 to 5]
This does not give me the right answer, can anyone help? I have no trouble solving it if it gives me a region bounded by y=x (for example), but i think that the centre of mass in y-variable means that Mx and My are reversed?
Very confused, thanks for any help you can give