Difficult# Approximate an Integral Using a Series

APCALC-HJWJ1G

Find the first three non-zero terms of a power series for ${ e }^{ { x }^{ 2 } }$ centered at $0$ and use them to estimate the given integral $\int _{ 0 }^{ 1 }{ { e }^{ { x }^{ 2 } } } dx$.