Question: Let f(x) = x + e - 1, and let f-(x) denote the inverse function of f(x). 1+e 1/the Then the integral f(x) dx

Let f(x) = x + e - 1, and let f-(x) denote the inverse function of f(x). 1+e 1/the Then the integral f(x) dx evaluates to ko+ke+ke+...+ kne", where ko, k, ... , kn are rational numbers and e 2.718 is Euler's number. If the sum ko + ki + k2 + ... + kn can be expressed as , where A and B are coprime positive integers, what is A + B + n?
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