Cho $ f\left( x \right) $ và $ g\left( x \right) $ là các hàm số liên tục bất kì trên đoạn $ \left[ a;b \right] $ . Mệnh đề nào sau đây đúng ?
A. $ \int\limits_{a}^{b}{\left| f\left( x \right)-g\left( x \right) \right|\text{d}x=\int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}}} $ .
B. $ \int\limits_{a}^{b}{\left( f\left( x \right)-g\left( x \right) \right)\text{d}x=\left| \int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}} \right|} $ .
C. $ \int\limits_{a}^{b}{\left( f\left( x \right)-g\left( x \right) \right)\text{d}x=\int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}}} $ .
D. $ \left| \int\limits_{a}^{b}{\left( f\left( x \right)-g\left( x \right) \right)} \right|\text{d}x=\int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}} $ .
A. $ \int\limits_{a}^{b}{\left| f\left( x \right)-g\left( x \right) \right|\text{d}x=\int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}}} $ .
B. $ \int\limits_{a}^{b}{\left( f\left( x \right)-g\left( x \right) \right)\text{d}x=\left| \int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}} \right|} $ .
C. $ \int\limits_{a}^{b}{\left( f\left( x \right)-g\left( x \right) \right)\text{d}x=\int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}}} $ .
D. $ \left| \int\limits_{a}^{b}{\left( f\left( x \right)-g\left( x \right) \right)} \right|\text{d}x=\int\limits_{a}^{b}{f\left( x \right)\text{d}x-\int\limits_{a}^{b}{g\left( x \right)\text{d}x}} $ .
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