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Approximate the Function f(x)=ex2f(x)=e^{-x^{2}} With a Taylor Polynomial of Degree 6 00.6ex2dx\int_{0}^{0.6} e^{-x^{2}} d x

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Approximate the function f(x)=ex2f(x)=e^{-x^{2}} with a Taylor polynomial of degree 6.Use this to estimate the value of 00.6ex2dx\int_{0}^{0.6} e^{-x^{2}} d x to 5 decimal places.


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