Find the area of the region bounded by the graphs of the given equations. \[ y=13 x, y=x^{2} \] The area is (Type an integer or a simplified fraction.)

Step 1 ：We are given two equations, \(y=13x\) and \(y=x^{2}\). We are asked to find the area of the region bounded by the graphs of these equations.

Step 2 ：The area between two curves is given by the integral of the absolute difference of the two functions over the interval where they intersect.

Step 3 ：First, we need to find the points of intersection of the two curves. This can be done by setting the two equations equal to each other and solving for x.

Step 4 ：Setting \(13x = x^{2}\), we find that the points of intersection are 0 and 13.

Step 5 ：The absolute difference of the two functions is \(|13x - x^{2}|\).

Step 6 ：We will integrate the absolute difference of the two functions over the interval defined by the points of intersection, which is from x=0 to x=13.

Step 7 ：The integral represents the area between the two curves from x=0 to x=13. We need to evaluate this integral to find the area.

Step 8 ：Evaluating the integral, we find that the area is approximately 366.17 square units.

Step 9 ：Final Answer: The area of the region bounded by the graphs of the given equations is \(\boxed{366.17}\) square units.