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} _____ _______ ____ ______ _________ _________ ________ ____.
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___ _______ ___ ____ ____ _____ _________ ________ __________.
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___ _____ _________ ___ _______.
______ ______ __________ _________ _________ _____ _____ ____.
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_________ _______ _____.
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