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Câu hỏi: . Nguyên hàm của hàm số $f\left( x \right)=\sqrt{3x+2}$ là
A. $\dfrac{2}{3}(3x+2)\sqrt{3x+2}+C$
B. $\dfrac{1}{3}(3x+2)\sqrt{3x+2}+C$
C. $\dfrac{2}{9}(3x+2)\sqrt{3x+2}+C$
D. $\dfrac{3}{2}\dfrac{1}{\sqrt{3x+2}}+C$
A. $\dfrac{2}{3}(3x+2)\sqrt{3x+2}+C$
B. $\dfrac{1}{3}(3x+2)\sqrt{3x+2}+C$
C. $\dfrac{2}{9}(3x+2)\sqrt{3x+2}+C$
D. $\dfrac{3}{2}\dfrac{1}{\sqrt{3x+2}}+C$
$\int{\sqrt{3\text{x}+2}d\text{x}}=\int{{{\left( 3\text{x}+2 \right)}^{\dfrac{1}{2}}}d\text{x}}=\dfrac{2}{3}.\dfrac{1}{3}{{\left( 3\text{x}+2 \right)}^{\dfrac{3}{2}}}+C$.
Đáp án C.