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avatar+1491 

Just a conceptual clarification question...

 

lf l have to find the area between two curves, say... uh... um...

 

f(x)=-x^2+4x+2

g(x)=x-2

 

a = uh... 0 and b = hmmm... how about 3?

 

Would l just subtract the integrations of each equation? lf so, which one would be subtracted from the other? l'm leaning towards:

 

\(\int_{0}^{3}(f(x))-(g(x))\)

 

Due to the area of g(x), clearly smaller then f(x)'s. (l used the graph both functions make to justify this)

 

l appreciate any clarification or contributions towards my efforts. You don't need to answer the question if don't have to. l just wanted to know which gets subtracted from what.

 Dec 8, 2016
 #1
avatar+26364 
+5

Area Between Curves.

 

Formula:

\(\begin{array}{|rcll|} \hline A = \displaystyle |~ \int \limits_{a}^{b} ~ (~f(x)-g(x)~)\ dx ~| \\ \hline \end{array}\)

 

 

laugh

 Dec 8, 2016

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