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

Short Answer

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