Use Series to Approximate the Definite Integral to Within the Indicated

Use series to approximate the definite integral to within the indicated accuracy. $$\int _ { 0 } ^ { 05 } x ^ { 2 } e ^ { - x ^ { 2 } } d x \quad \mid \text { error } \mid < 0.001$$

A) $0.0354$
B) $0.0125$
C) $0.0625$
D) $0.1447$
E) $0.2774$

Correct Answer:

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