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In the language of Calculus, the area between two curves is essentially a difference of integrals. The applications of this calculation range from macroeconomic tax models to signal analysis.

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If \(a\) and \(b\) are coprime positive integers, and \(\frac{S_2}{S_1}=\frac{a}{b}\)and \(a+b=925\), what is \(m\)?

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