Differential moment of inertia

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kyu
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Homework Statement



since it's asking us to find the moment of inertia with respect to y-axis, why did they draw the differential element to x-axis?

Homework Equations





The Attempt at a Solution



because of the initial problem.. i don't know how to start.. so

dA = x dy
I(y) = x^2 (x dy)
 

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since it's asking us to find the moment of inertia with respect to y-axis, why did they draw the differential element to x-axis?
... they show an element width dy and length x at position y=x^3.
How would you do it?