$3.)$ Let $F(x)={\displaystyle \underset{0}{\overset{x}{}}}{e}^{-t^2}dt.$ Of the following which is the best approximation of $F(1)?$

a$.)0\mathrm{.}333$

b$.)0\mathrm{.}724$

c$.)0\mathrm{.}747$

d$.)1\mathrm{.}457$

e$.)1\mathrm{.}676$