Let Iy be the moment of inertia about the y-axis of the region in Exercise 35. Show that

Data from in Exercise 35

Let A be the area and x̄ the x-coordinate of the centroid of a region R that is bounded by a piecewise smooth, simple closed curve C in the xy-plane. Show that

Transcribed Image Text:

$x dy - x²y dx = ly. ¼ f x³² y = − f x ²y dx = 1 f x³² d y − x dy 3 4 C