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