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Câu hỏi: Tìm họ nguyên hàm $F\left( x \right)=\int{{{\left( 2x+1 \right)}^{3}}dx}$.
A. $F\left( x \right)=\dfrac{1}{2}{{\left( 2x+1 \right)}^{4}}+C$.
B. $F\left( x \right)=\dfrac{1}{4}{{\left( 2x+1 \right)}^{4}}+C$.
C. $F\left( x \right)=\dfrac{1}{8}{{\left( 2x+1 \right)}^{4}}+C$.
D. $F\left( x \right)={{\left( 2x+1 \right)}^{4}}+C$.
A. $F\left( x \right)=\dfrac{1}{2}{{\left( 2x+1 \right)}^{4}}+C$.
B. $F\left( x \right)=\dfrac{1}{4}{{\left( 2x+1 \right)}^{4}}+C$.
C. $F\left( x \right)=\dfrac{1}{8}{{\left( 2x+1 \right)}^{4}}+C$.
D. $F\left( x \right)={{\left( 2x+1 \right)}^{4}}+C$.
Ta có: $F\left( x \right)=\int{{{\left( 2x+1 \right)}^{3}}dx}=\dfrac{1}{8}{{\left( 2x+1 \right)}^{4}}+C$
Đáp án C.