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Nếu $\int\limits_{-2}^{2}{f\left( x \right)\text{d}x=9}$ và...

Câu hỏi: Nếu $\int\limits_{-2}^{2}{f\left( x \right)\text{d}x=9}$ và $\int\limits_{1}^{2}{f\left( x \right)\text{d}x=2}$ thì $\int\limits_{-2}^{1}{f\left( x \right)\text{d}x}$ bằng
A. $7$.
B. $3$.
C. $11$.
D. $-7$.
Ta có $\int\limits_{-2}^{2}{f\left( x \right)\text{d}x=9}\Leftrightarrow \int\limits_{-2}^{1}{f\left( x \right)\text{d}x}+\int\limits_{1}^{2}{f\left( x \right)\text{d}x}=9\Leftrightarrow \int\limits_{1}^{2}{f\left( x \right)\text{d}x}=9-2\Leftrightarrow \int\limits_{1}^{2}{f\left( x \right)\text{d}x}=7$.
Đáp án A.
 

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