bac-s-maths 2023 Q1

bac-s-maths · France · bac-spe-maths__metropole-sept_j1 1 marks Standard Integrals and Reverse Chain Rule Reverse Chain Rule Antiderivative (MCQ)
Consider the function $f$ defined on $\mathbb{R}$ by $$f(x) = x\mathrm{e}^{x^2-3}$$ One of the antiderivatives $F$ of the function $f$ on $\mathbb{R}$ is defined by: a. $F(x) = 2x\mathrm{e}^{x^2-3}$ b. $F(x) = \left(2x^2+1\right)\mathrm{e}^{x^2-3}$ c. $F(x) = \frac{1}{2}x\mathrm{e}^{x^2-3}$ d. $F(x) = \frac{1}{2}\mathrm{e}^{x^2-3}$
Consider the function $f$ defined on $\mathbb{R}$ by
$$f(x) = x\mathrm{e}^{x^2-3}$$
One of the antiderivatives $F$ of the function $f$ on $\mathbb{R}$ is defined by:\\
a. $F(x) = 2x\mathrm{e}^{x^2-3}$\\
b. $F(x) = \left(2x^2+1\right)\mathrm{e}^{x^2-3}$\\
c. $F(x) = \frac{1}{2}x\mathrm{e}^{x^2-3}$\\
d. $F(x) = \frac{1}{2}\mathrm{e}^{x^2-3}$