Câu hỏi: Biết
A. $2{{e}^{x}}+4{{x}^{2}}+C.B. \)"> \dfrac{1}{2}{{e}^{2x}}+4{{x}^{2}}+C.C. \)"> {{e}^{2x}}+8{{x}^{2}}+C.D. \)"> \dfrac{1}{2}{{e}^{2x}}+2{{x}^{2}}+C.
A. $2{{e}^{x}}+4{{x}^{2}}+C.
Ta có \)">\int{f\left( 2x \right)dx}=\dfrac{1}{2}\int{f\left( 2x \right)d2x}=\dfrac{1}{2}F\left( 2x \right)=\dfrac{1}{2}{{e}^{2x}}+4{{x}^{2}}+C.$
Đáp án B.