Google
Câu hỏi: Cho $\int\limits_{0}^{2}{f\left( x \right)\text{d}x}=3$ và $\int\limits_{0}^{2}{g\left( x \right)\text{d}x}=7$, khi đó $\int\limits_{0}^{2}{\left[ f\left( x \right)+3g\left( x \right) \right]\text{d}x}$ bằng
A. 16.
B. $-18$.
C. 24.
D. 10.
Ta có: $\int\limits_{0}^{2}{\left[ f\left( x \right)+3g\left( x \right) \right]\text{d}x}=\int\limits_{0}^{2}{f\left( x \right)\text{d}x}+\int\limits_{0}^{2}{3g\left( x \right)\text{d}x}=\int\limits_{0}^{2}{f\left( x \right)\text{d}x}+3\int\limits_{0}^{2}{g\left( x \right)\text{d}x}=3+3.7=24$.
Vậy $\int\limits_{0}^{2}{\left[ f\left( x \right)+3g\left( x \right) \right]\text{d}x}=24$.
A. 16.
B. $-18$.
C. 24.
D. 10.
Ta có: $\int\limits_{0}^{2}{\left[ f\left( x \right)+3g\left( x \right) \right]\text{d}x}=\int\limits_{0}^{2}{f\left( x \right)\text{d}x}+\int\limits_{0}^{2}{3g\left( x \right)\text{d}x}=\int\limits_{0}^{2}{f\left( x \right)\text{d}x}+3\int\limits_{0}^{2}{g\left( x \right)\text{d}x}=3+3.7=24$.
Vậy $\int\limits_{0}^{2}{\left[ f\left( x \right)+3g\left( x \right) \right]\text{d}x}=24$.
Đáp án C.