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Integral Form of Anti-Derivatives

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Problems 1

Let aaa be a real constant, and define the integral function F(x)=∫ax(2t−2) dtF(x) = \int_a^x (2^t - 2)\,dtF(x)=∫ax(2t−2)dt. Suppose aaa is such that F(2016)=2017F(2016) = 2017…