Cho hàm số \(f\left( x \right) = \left\{ \begin{array}{l}3{x^2} + 2\;{\rm{khi}}\;x \le 1\\8x - 3\
Giải thích
\(\int\limits_{ - 2}^2 {f\left( x \right){\rm{d}}x} = \int\limits_{ - 2}^1 {f\left( x \right){\rm{d}}x} + \int\limits_1^2 {f\left( x \right){\rm{d}}x} \)\( = \int\limits_{ - 2}^1 {\left( {3{x^2} + 2} \right){\rm{d}}x} + \int\limits_1^2 {\left( {8x - 3} \right){\rm{d}}x} \)
\( = \left. {\left( {{x^3} + 2x} \right)} \right|_{ - 2}^1 + \left. {\left( {4{x^2} - 3x} \right)} \right|_1^2\)\( = 15 + 9 = 24\). Chọn B.