Câu hỏi: Cho hàm số $f\left( x \right)={{e}^{2x}}+\sin 3x$. Khẳng định nào sau đây đúng?
A. $\int{f\left( x \right) \text{d}x=\dfrac{{{e}^{2x}}}{2}-\dfrac{\cos 3x}{3}+C}$.
B. $\int{f\left( x \right) \text{d}x={{e}^{2x}}-\cos 3x+C}$.
C. $\int{f\left( x \right) \text{d}x=\dfrac{{{e}^{2x}}}{2}+\dfrac{\sin 3x}{3}+C}$.
D. $\int{f\left( x \right) \text{d}x={{e}^{2x}}-\dfrac{1}{3}\cos 3x+C}$.
A. $\int{f\left( x \right) \text{d}x=\dfrac{{{e}^{2x}}}{2}-\dfrac{\cos 3x}{3}+C}$.
B. $\int{f\left( x \right) \text{d}x={{e}^{2x}}-\cos 3x+C}$.
C. $\int{f\left( x \right) \text{d}x=\dfrac{{{e}^{2x}}}{2}+\dfrac{\sin 3x}{3}+C}$.
D. $\int{f\left( x \right) \text{d}x={{e}^{2x}}-\dfrac{1}{3}\cos 3x+C}$.
Ta có $\int{f\left( x \right) \text{d}x=\dfrac{{{e}^{2x}}}{2}-\dfrac{\cos 3x}{3}+C}$ .
Đáp án A.