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(Solved): (5) Use a "known" power series to approximate the following integral accurate to six decimal digits ...
(5) Use a "known" power series to approximate the following integral accurate to six decimal digits \( \left(10^{-6}\right) \). (Note: \( \exp (u)=e^{u} \).) \[ \int_{0}^{0.2} \exp \left(-x^{2}\right) d x \]