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Property 20

\(S_1=\displaystyle\int\limits_a^b f(x)\cdot dx\)
\(S_2=\displaystyle\int\limits_c^d f^{-1}(x)\cdot dx\)
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\(\Rightarrow\displaystyle\int\limits_{1}^{4} f(x)\,dx+\displaystyle\int\limits_{2}^{5} f^{-1}(x)\,dx=?\)

What is the square unit of the shaded area in the given graph?

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