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Câu hỏi: Cho hàm số $f\left( x \right)={{e}^{x}}-\sin x$. Khẳng định nào dưới đây đúng?
A. $\int{f\left( x \right)\text{d}x={{e}^{x}}+\cos x+C}$.
B. $\int{f\left( x \right)\text{d}x={{e}^{x}}-\cos x+C}$.
C. $\int{f\left( x \right)\text{d}x=\dfrac{1}{2}{{e}^{2x}}+\cos x+C}$.
D. $\int{f\left( x \right)\text{d}x=\dfrac{1}{2}{{e}^{2x}}-\cos x+C}$.
A. $\int{f\left( x \right)\text{d}x={{e}^{x}}+\cos x+C}$.
B. $\int{f\left( x \right)\text{d}x={{e}^{x}}-\cos x+C}$.
C. $\int{f\left( x \right)\text{d}x=\dfrac{1}{2}{{e}^{2x}}+\cos x+C}$.
D. $\int{f\left( x \right)\text{d}x=\dfrac{1}{2}{{e}^{2x}}-\cos x+C}$.
Ta có $\int{f\left( x \right)\text{d}x=\int{\left( {{e}^{x}}-\sin x \right)\text{d}x}={{e}^{x}}+\cos x+C}$.
Đáp án A.
