Khẳng định nào dưới đây đúng?
$\displaystyle\displaystyle\int x^{\tfrac{1}{3}}\mathrm{~d}x=x^{\tfrac{4}{3}}+C$ | |
$\displaystyle\displaystyle\int x^{\tfrac{1}{3}}\mathrm{~d}x=\dfrac{3}{4} x^{\tfrac{4}{3}}+C$ | |
$\displaystyle\displaystyle\int x^{\tfrac{1}{3}}\mathrm{~d}x=x^{\tfrac{2}{3}}+C$ | |
$\displaystyle\displaystyle\int x^{\tfrac{1}{3}}\mathrm{~d}x=\dfrac{3}{2} x^{\tfrac{2}{3}}+C$ |
Chọn phương án B.
Ta có $\displaystyle\int x^{\tfrac{1}{3}}\mathrm{~d}x=\dfrac{1}{\dfrac{1}{3}+1}x^{\tfrac{1}{3}+1}+C=\dfrac{3}{4}x^{\tfrac{4}{3}}+C$.