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Q42Section C (Section C)42 of 60

Turning point of an integral function

Let f(x)=∫−1x2−2xet2−t dtf(x)=\int_{-1}^{x^2-2x} e^{t^2-t}\,dt for all x∈Rx\in\mathbb{R}. If ff is decreasing on (0,m)(0,m) and increasing on (m,∞)(m,\infty), then the value of mm is equal to __________ (answer in integer)

Numerical answer: type the number (no options).

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