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Câu hỏi: Tích phân $\int\limits_{1}^{2}{{{e}^{3x-1}}dx}$ bằng:
A. $\dfrac{1}{3}\left( {{e}^{5}}-{{e}^{2}} \right).$
B. $\dfrac{1}{3}{{e}^{5}}-{{e}^{2}}.$
C. ${{e}^{5}}-{{e}^{2}}$.
D. $\dfrac{1}{3}\left( {{e}^{5}}+{{e}^{2}} \right).$
A. $\dfrac{1}{3}\left( {{e}^{5}}-{{e}^{2}} \right).$
B. $\dfrac{1}{3}{{e}^{5}}-{{e}^{2}}.$
C. ${{e}^{5}}-{{e}^{2}}$.
D. $\dfrac{1}{3}\left( {{e}^{5}}+{{e}^{2}} \right).$
Ta có $\int\limits_{1}^{2}{{{e}^{3x-1}}dx}=\dfrac{1}{3}{{e}^{3x-1}}|_{1}^{2}=\dfrac{1}{3}\left( {{e}^{5}}-{{e}^{2}} \right)$.
Đáp án A.