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	Các bình luận về: Cho hàm số \(f(x) = \left\{ {\begin{array}{*{20}{l}}{{x^2} + x + 1}&#038;{{\rm{ khi }}x \ge 0}\\{2x &#8211; 3}&#038;{{\rm{ khi }}x &#060; 0}\end{array}} \right.\). Biết \(I = \int\limits_0^{\frac{\pi }{2}} {f(2\sin x &#8211; 1)\cos x\;dx}&#160; + \int\limits_e^{{e^2}} {\frac{{f\left( {\ln x} \right)}}{x}dx}&#160; = \frac{a}{b}\) với \(\frac{a}{b}\) là phân số tối giản. Giá trị của tích \(a + b\) bằng	</title>
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