Question 2: (1 point) Find the area of the region bounded by the curves $y=x^{2}$ and $y=x$.

Step 1 ：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 2 ：First, we need to find the points of intersection of the two curves. This can be done by setting \(y=x^{2}\) equal to \(y=x\) and solving for \(x\).

Step 3 ：The points of intersection are at \(x=0\) and \(x=1\).

Step 4 ：The absolute difference of the two functions is \(|x - x^{2}|\). However, since \(x^{2} \leq x\) for \(0 \leq x \leq 1\), we can simplify this to \(x - x^{2}\).

Step 5 ：The area between the curves \(y=x^{2}\) and \(y=x\) is given by the integral of the absolute difference of the two functions over the interval where they intersect.

Step 6 ：The integral of this function over the interval \([0, 1]\) is \(1/6\).

Step 7 ：Final Answer: The area of the region bounded by the curves \(y=x^{2}\) and \(y=x\) is \(\boxed{\frac{1}{6}}\).