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Câu hỏi: Cho hàm số $f\left( x \right)={{e}^{2x}}$. Khẳng định nào sau đây đúng?
A. $\int{f\left( x \right)\text{d}x}={{e}^{2x}}+C$.
B. $\int{f\left( x \right)\text{d}x}=2{{e}^{2x}}+C$.
C. $\int{f\left( x \right)\text{d}x}=\dfrac{1}{2}{{e}^{2x}}+C$.
D. $\int{f\left( x \right)\text{d}x}=\dfrac{{{e}^{2x+1}}}{2x+1}+C$.
A. $\int{f\left( x \right)\text{d}x}={{e}^{2x}}+C$.
B. $\int{f\left( x \right)\text{d}x}=2{{e}^{2x}}+C$.
C. $\int{f\left( x \right)\text{d}x}=\dfrac{1}{2}{{e}^{2x}}+C$.
D. $\int{f\left( x \right)\text{d}x}=\dfrac{{{e}^{2x+1}}}{2x+1}+C$.
Áp dụng công thức $\int{{{\text{e}}^{ax+b}}\text{d}x}=\dfrac{1}{a}{{e}^{ax+b}}+C$.
Suy ra $\int{f\left( x \right)\text{d}x}=\dfrac{1}{2}{{e}^{2x}}+C$.
Suy ra $\int{f\left( x \right)\text{d}x}=\dfrac{1}{2}{{e}^{2x}}+C$.
Đáp án C.