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Câu hỏi: Khẳng định nào sau đây đúng?
A. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x={{3.6}^{x}}+C$.
B. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x={{3.6}^{x+1}}+C$.
C. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x=\dfrac{{{3.6}^{x}}}{\ln 6}+C$.
D. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x=\dfrac{{{3.6}^{x+1}}}{x+1}+C$.
A. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x={{3.6}^{x}}+C$.
B. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x={{3.6}^{x+1}}+C$.
C. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x=\dfrac{{{3.6}^{x}}}{\ln 6}+C$.
D. $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x=\dfrac{{{3.6}^{x+1}}}{x+1}+C$.
Ta có $\int{{{2}^{x}}{{.3}^{x+1}}}\text{d}x=3\int{{{2}^{x}}{{.3}^{x}}}\text{d}x=3\int{{{6}^{x}}}\text{d}x=\dfrac{{{3.6}^{x}}}{\ln 6}+C$
Đáp án C.