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Câu hỏi: Tìm nguyên hàm của hàm số $f\left( x \right)=x\sqrt{x}$
A. $\int{x\sqrt{x}dx}=\dfrac{2}{5}{{x}^{2}}\sqrt{x}+C.$
B. $\int{x\sqrt{x}dx}=\dfrac{2}{5}x\sqrt{x}+C.$
C. $\int{x\sqrt{x}dx}=\dfrac{1}{2}{{x}^{2}}\sqrt{x}+C.$
D. $\int{x\sqrt{x}dx}=\dfrac{3}{2}\sqrt{x}+C.$
A. $\int{x\sqrt{x}dx}=\dfrac{2}{5}{{x}^{2}}\sqrt{x}+C.$
B. $\int{x\sqrt{x}dx}=\dfrac{2}{5}x\sqrt{x}+C.$
C. $\int{x\sqrt{x}dx}=\dfrac{1}{2}{{x}^{2}}\sqrt{x}+C.$
D. $\int{x\sqrt{x}dx}=\dfrac{3}{2}\sqrt{x}+C.$
$\int{x\sqrt{x}dx}=\int{{{x}^{\dfrac{3}{2}}}dx}=\dfrac{2}{5}{{x}^{\dfrac{5}{2}}}+C=\dfrac{2}{5}{{x}^{2}}\sqrt{x}+C$
Đáp án A.