Consider the function f(x) = e^(x^2) (ln(1+x)) for 0 < x < 1

a) Determine the first 3 non-zero terms in the Maclaurin series.

b) Given that 0 <= f^2(x) <= 20 for all 0 < x < 1, what is the maximal error we would make in approximating the integral e^(x^2) (ln(1+x)) from 0 to 0.5 by the integral x from 0 to 0.5

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