Word Count : 149

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To approximate the integral \[ I = \int_{0}^{0.1}(1+x)^{1/2}dx \] numerically using a polynomial, let's proceed step by step: ### Step 1: Approximate \( (1+x)^{1/2} \) Using a Taylor Series We use the Taylor series expansion of \( ___ ____ ____ ________ ____ _______ ________ __________.
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