bac-s-maths 2023 Q1

bac-s-maths · France · bac-spe-maths__centres-etrangers_j2 1 marks Integration by Parts Multiple-Choice Primitive Identification
Let $f$ be the function defined on $\mathbb{R}$ by $f(x) = x \mathrm{e}^{x}$.
A primitive $F$ on $\mathbb{R}$ of the function $f$ is defined by:
A. $F(x) = \frac{x^{2}}{2} \mathrm{e}^{x}$
B. $F(x) = (x - 1) \mathrm{e}^{x}$
C. $F(x) = (x + 1) \mathrm{e}^{x}$
D. $F(x) = \frac{2}{x} \mathrm{e}^{x^{2}}$.
B. $F(x) = (x - 1) \mathrm{e}^{x}$
Let $f$ be the function defined on $\mathbb{R}$ by $f(x) = x \mathrm{e}^{x}$.\\
A primitive $F$ on $\mathbb{R}$ of the function $f$ is defined by:\\
A. $F(x) = \frac{x^{2}}{2} \mathrm{e}^{x}$\\
B. $F(x) = (x - 1) \mathrm{e}^{x}$\\
C. $F(x) = (x + 1) \mathrm{e}^{x}$\\
D. $F(x) = \frac{2}{x} \mathrm{e}^{x^{2}}$.