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Câu hỏi: Cho hàm số $y=f\left( x \right), y=g\left( x \right)$ liên tục trên $\mathbb{R}.$ Khẳng định nào sau đây là sai?
A. $\int{\left[ f\left( x \right)-g\left( x \right) \right]\text{d}x}=\int{f\left( x \right)\text{d}x}-\int{g\left( x \right)\text{d}x}.$
B. $\int{kf\left( x \right)\text{d}x}=k\int{f\left( x \right)\text{d}x}$ ( $k$ là hằng số và $k\ne 0$ ).
C. $\int{\left[ f\left( x \right).g\left( x \right) \right]\text{d}x}=\int{f\left( x \right)\text{d}x}.\int{g\left( x \right)\text{d}x}.$
D. $\int{\left[ f\left( x \right)+g\left( x \right) \right]\text{d}x}=\int{f\left( x \right)\text{d}x}+\int{g\left( x \right)\text{d}x}.$
A. $\int{\left[ f\left( x \right)-g\left( x \right) \right]\text{d}x}=\int{f\left( x \right)\text{d}x}-\int{g\left( x \right)\text{d}x}.$
B. $\int{kf\left( x \right)\text{d}x}=k\int{f\left( x \right)\text{d}x}$ ( $k$ là hằng số và $k\ne 0$ ).
C. $\int{\left[ f\left( x \right).g\left( x \right) \right]\text{d}x}=\int{f\left( x \right)\text{d}x}.\int{g\left( x \right)\text{d}x}.$
D. $\int{\left[ f\left( x \right)+g\left( x \right) \right]\text{d}x}=\int{f\left( x \right)\text{d}x}+\int{g\left( x \right)\text{d}x}.$
Ta có: $\int{\left[ f\left( x \right).g\left( x \right) \right]\text{d}x}=\int{f\left( x \right)\text{d}x}.\int{g\left( x \right)\text{d}x}.$
Đáp án C.