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