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Definite Integration

JEE Main 2023 (Online) 1st February Morning Shift

INTEGER+4 / -12023

Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be a differentiable function such that \(f^{\prime}(x)+f(x)=\int_\limits{0}^{2} f(t) d t\). If \(f(0)=e^{-2}\), then \(2 f(0)-f(2)\) is equal to ____________.

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