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	Các bình luận về: Cho hàm số \(f(x) = \left\{ {\begin{array}{*{20}{l}}{2{x^3} &#8211; x}&#038;{{\rm{ khi }}x \ge 1}\\{ &#8211; 3x + 2}&#038;{{\rm{ khi }}x &#060; 1}\end{array}} \right.\). Biết \(I = \int\limits_{\frac{\pi }{4}}^{\frac{\pi }{3}} {\frac{{f\left( {\tan x} \right)}}{{{{\cos }^2}x}}} dx + \int\limits_0^{\sqrt {\sqrt e&#160; &#8211; 1} } {\frac{{x.f\left( {\ln \left( {{x^2} + 1} \right)} \right)}}{{{x^2} + 1}}} dx = \frac{a}{b}\)với \(\frac{a}{b}\) là phân số tối giản. Giá trị của tổng \(a + b\) bằng	</title>
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