Second Moment of Area Example 2

The video tutorial explains how to solve a second moment of area problem for a triangle about the X-axis using the double integral method. It begins with an introduction to the problem and the formula, followed by setting up the double integral. The tutorial then determines the limits of integration and evaluates the integrals step-by-step, concluding with the final calculation and result.

What is the equation of the line used in the problem, and how is it derived?

What is the final answer for the second moment of area about the X axis for the triangle?

How would the answer change if the order of integration was switched?