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Câu hỏi: Cho $u\left( x \right)$ là hàm số có đạo hàm liên tục trên $\mathbb{R}$, khi đó
A. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=2u\left( x \right)+C$.
B. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=3{{\left[ u\left( x \right) \right]}^{3}}+C$.
C. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=\dfrac{1}{2}{{\left[ u\left( x \right) \right]}^{2}}+C$.
D. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=\dfrac{1}{3}{{\left[ u\left( x \right) \right]}^{3}}+C$.
$\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=\int{{{\left[ u\left( x \right) \right]}^{2}}du}=\dfrac{1}{3}{{\left[ u\left( x \right) \right]}^{3}}+C$.
A. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=2u\left( x \right)+C$.
B. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=3{{\left[ u\left( x \right) \right]}^{3}}+C$.
C. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=\dfrac{1}{2}{{\left[ u\left( x \right) \right]}^{2}}+C$.
D. $\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=\dfrac{1}{3}{{\left[ u\left( x \right) \right]}^{3}}+C$.
$\int{{{\left[ u\left( x \right) \right]}^{2}}.u'\left( x \right)dx}=\int{{{\left[ u\left( x \right) \right]}^{2}}du}=\dfrac{1}{3}{{\left[ u\left( x \right) \right]}^{3}}+C$.
Đáp án D.