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Algebra
Question

Evaluate \(I = \int _ { 0 } ^ { 1 } e ^ { - x ^ {...

Evaluate \(I = \int _ { 0 } ^ { 1 } e ^ { - x ^ { 2 } } d x\) , by the Taylor's formula method of Example \(4\) , to within an error of \(10 ^ { - 4 }\) .

Answer

\(\left. \begin{array} { l } { I \approx 0.74684 \text { with error less than } 10 ^ { - 4 } ; \text { seven terms of } } \\ { \text { the series are needed. } } \end{array} \right.\)

Solution
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