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