26-5-7

Find the moment of inertia of a plate covering the region bounded by x = -1, x = 1, y = 0 and y= 1 with respect to x axis.

Basic equation

Ix = k integral (x^2 * y)

x^2 * 1

= x^2

Integrate x^2:

1/3x^3

so the answer is k * 1/3x^3

and we would plug 1 into x?

the book answer is 2/3k... any hints? thanks.