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Câu hỏi: Cho hàm số $f\left( x \right)=-3{{x}^{2}}+1.$ Trong các khẳng định sau, khẳng định nào đúng?
A. $\int{f\left( x \right)\text{d}x=3{{x}^{3}}-x+C.}$
B. $\int{f\left( x \right)\text{d}x=-{{x}^{3}}+x-C.}$
C. $\int{f\left( x \right)\text{d}x=\dfrac{1}{3}{{x}^{3}}+x+C.}$
D. $\int{f\left( x \right)\text{d}x=-3{{x}^{3}}-C.}$
A. $\int{f\left( x \right)\text{d}x=3{{x}^{3}}-x+C.}$
B. $\int{f\left( x \right)\text{d}x=-{{x}^{3}}+x-C.}$
C. $\int{f\left( x \right)\text{d}x=\dfrac{1}{3}{{x}^{3}}+x+C.}$
D. $\int{f\left( x \right)\text{d}x=-3{{x}^{3}}-C.}$
Ta có: $\int{f\left( x \right)\text{d}x}=\int{\left( -3{{x}^{2}}+1 \right)\text{d}x}=-{{x}^{3}}+x-C$.
Đáp án B.