Question
Set up the definite integral that gives the area of the region.$$\begin{aligned}&f(x)=x^{2}-4 x+3 \\&g(x)=-x^{2}+2 x+3\end{aligned}$$
Step 1
This is done by setting the two functions equal to each other and solving for x: $$ x^{2}-4x+3=-x^{2}+2x+3 $$ Solving this equation gives us the points of intersection, which are x = 0 and x = 3. Show more…
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