Plot (int_{0}^{t}(x+t)^{2} e^{-(2 t-x)} d x) versus (1 leq t leq 3). Add grid and label.

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Plot \(\int_{0}^{t}(x+t)^{2} e^{-(2 t-x)} d x\) versus \(1 \leq t \leq 3\). Add grid and label.

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