Câu hỏi: Tìm nguyên hàm của hàm số $f\left( x \right)={{x}^{2021}}$ trên $\mathbb{R}.$
A. $\int{f\left( x \right)dx=\dfrac{{{x}^{2022}}}{2022}.}$
B. $\int{f\left( x \right)dx=2021{{x}^{2020}}+C.}$
C. $\int{f\left( x \right)dx=\dfrac{{{x}^{2022}}}{2022}+C.}$
D. $\int{f\left( x \right)dx=\dfrac{{{x}^{2021}}}{2021}+C.}$
A. $\int{f\left( x \right)dx=\dfrac{{{x}^{2022}}}{2022}.}$
B. $\int{f\left( x \right)dx=2021{{x}^{2020}}+C.}$
C. $\int{f\left( x \right)dx=\dfrac{{{x}^{2022}}}{2022}+C.}$
D. $\int{f\left( x \right)dx=\dfrac{{{x}^{2021}}}{2021}+C.}$
Ta có: $\int{f\left( x \right)dx=\int{{{x}^{2021}}dx=\dfrac{{{x}^{2022}}}{2022}+C.}}$
Đáp án C.