Let $ f(x)=|x-2| $ and $ g(x)=f(f(x)), x \in[0,4] $. Then $ \int_{0}^{3}(\mathrm{~g}(\mathrm{x})-\mathrm{f}(\mathrm{x})) \mathrm{dx} $ is equal to: [JEE Main 2020, 4 Sep (Shift 1)]

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Let \( f(x)=|x-2| \) and \( g(x)=f(f(x)), x \in[0,4] \). Then \( \int_{0}^{3}(\mathrm{~g}(\mathrm{x})-\mathrm{f}(\mathrm…

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