Question
Sketch and find the area of the plane region bounded by the given curves.$$y=x, \quad y=x^{2}$$
Step 1
We do this by setting the two equations equal to each other, i.e., $x = x^{2}$. Factoring out an $x$, we get $x(x - 1) = 0$. Using the zero product property, we find that the curves intersect at $x = 0$ and $x = 1$. Show more…
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