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Câu hỏi: Nếu $\int_{-1}^{3}{f\left( x \right)dx=2023}$ thì $\int_{-1}^{3}{\left[ 2f\left( x \right)+x \right]dx}$ bằng
A. $16188$.
B. $4050$.
C. $16192$.
D. $8096$.
A. $16188$.
B. $4050$.
C. $16192$.
D. $8096$.
Ta có: $\int_{-1}^{3}{\left[ 2f\left( x \right)+x \right]dx}=2\int_{-1}^{3}{f\left( x \right)dx}+\int_{-1}^{3}{xdx}=2.2023+4=4050$.
Đáp án B.