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Câu hỏi: Tìm họ nguyên hàm của hàm số $f\left( x \right)=3x-\sin x$.
A. $\int{f\left( x \right)}\text{d}x=3{{x}^{2}}+\cos x+C$.
B. $\int{f\left( x \right)}\text{d}x=\dfrac{3{{x}^{2}}}{2}-\cos x+C$.
C. $\int{f\left( x \right)}\text{d}x=\dfrac{3{{x}^{2}}}{2}+\cos x+C$.
D. $\int{f\left( x \right)}\text{d}x=3+\cos x+C$.
A. $\int{f\left( x \right)}\text{d}x=3{{x}^{2}}+\cos x+C$.
B. $\int{f\left( x \right)}\text{d}x=\dfrac{3{{x}^{2}}}{2}-\cos x+C$.
C. $\int{f\left( x \right)}\text{d}x=\dfrac{3{{x}^{2}}}{2}+\cos x+C$.
D. $\int{f\left( x \right)}\text{d}x=3+\cos x+C$.
Ta có $\int{f\left( x \right)}\text{d}x=\int{\left( 3x-\sin x \right)}\text{d}x=\dfrac{3{{x}^{2}}}{2}+\cos x+C$.
Đáp án C.