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