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Câu hỏi: Cho hàm số $f\left( x \right)={{\text{e}}^{x}}+2x$. Khẳng định nào dưới đây đúng?
A. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}+{{x}^{2}}+C$.
B. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}+C$.
C. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}-{{x}^{2}}+C$.
D. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}+2{{x}^{2}}+C$.
A. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}+{{x}^{2}}+C$.
B. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}+C$.
C. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}-{{x}^{2}}+C$.
D. $\int{f\left( x \right)\text{d}x}={{\text{e}}^{x}}+2{{x}^{2}}+C$.
Ta có: $\int{f\left( x \right)\text{d}x}=\int{\left( {{\text{e}}^{x}}+2x \right)\text{d}x=}{{\text{e}}^{x}}+{{x}^{2}}+C$.
Đáp án A.