Nếu \(\int\limits_{2}^{3}{f\left( x \right)dx}=5\) và \(\int\limits_{2}^{3}{g\left( x \right)dx}=-1\) thì \(\int\limits_{2}^{3}{\left[ f\left( x \right)-g\left( x \right)+2x \righ...

* Hướng dẫn giải

\(\begin{array}{l} \int\limits_2^3 {\left[ {f\left( x \right) - g\left( x \right) + 2x} \right]dx} = \int\limits_2^3 {f\left( x \right)dx} - \int\limits_2^3 {g\left( x \right)dx} + \int\limits_2^3 {2xdx} \\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 5 + 1 + {x^2}|_2^3 = 6 + 5 = 11 \end{array}\)