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Câu hỏi: Trong các mệnh đề dưới đây, mệnh đề nào sai?
A. $\int{\left[ f\left( x \right)+g\left( x \right) \right]dx}=\int{f\left( x \right)dx}+\int{g\left( x \right)dx}$.
B. $\int{{f}'\left( x \right)dx}=f\left( x \right)+C$.
C. $\int{\left[ f\left( x \right)-g\left( x \right) \right]dx}=\int{f\left( x \right)dx}-\int{g\left( x \right)dx}$.
D. $\int{kf\left( x \right)dx}=k\int{f\left( x \right)dx}. \forall k\in \mathbb{R}$.
A. $\int{\left[ f\left( x \right)+g\left( x \right) \right]dx}=\int{f\left( x \right)dx}+\int{g\left( x \right)dx}$.
B. $\int{{f}'\left( x \right)dx}=f\left( x \right)+C$.
C. $\int{\left[ f\left( x \right)-g\left( x \right) \right]dx}=\int{f\left( x \right)dx}-\int{g\left( x \right)dx}$.
D. $\int{kf\left( x \right)dx}=k\int{f\left( x \right)dx}. \forall k\in \mathbb{R}$.
Câu D sai, vì $\int{kf\left( x \right)dx}=k\int{f\left( x \right)dx}. \forall k\ne 0$.
Đáp án D.