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Câu hỏi: Nếu $\int\limits_{0}^{1}{f\left( x \right)dx=3}$ thì $\int\limits_{0}^{1}{\left[ f\left( x \right)-3{{x}^{2}} \right]dx}$ bằng
A. $1$.
B. $2$.
C. $3$.
D. $4$.
A. $1$.
B. $2$.
C. $3$.
D. $4$.
Ta có : $\int\limits_{0}^{1}{\left[ f\left( x \right)-3{{x}^{2}} \right]dx}=\int\limits_{0}^{1}{f\left( x \right)dx-}\int\limits_{0}^{1}{3{{x}^{2}}dx}=3-{{x}^{3}}\left| \begin{aligned}
& 1 \\
& 0 \\
\end{aligned} \right.=3-1=2$.
& 1 \\
& 0 \\
\end{aligned} \right.=3-1=2$.
Đáp án B.