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Use Series to Approximate the Definite Integral to Within the Indicated

Question 65

Multiple Choice

Use series to approximate the definite integral to within the indicated accuracy. ∫005x2e−x2dx∣ error ∣<0.001\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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