* Consider the function $f(x) = x^x$ and assume that $f(0) = 1$. Using an appropriate established MacLaurin series, and term by term integration, derive an infinite series expression for the integral $I = \int_0^1 f(x)dx$
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The MacLaurin series for f(x) = x is given by: f(x) = x = x^1/1! + 0*x^2/2! + 0*x^3/3! + ... Show more…
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