Nếu $\displaystyle\displaystyle\int\limits_0^1f(x)\mathrm{~d}x=2$ và $\displaystyle\displaystyle\int\limits_1^3f(x)\mathrm{~d}x=5$ thì $\displaystyle\displaystyle\int\limits_0^3f(x)\mathrm{~d}x$ bằng
| $10$ | |
| $3$ | |
| $7$ | |
| $-3$ |
Chọn phương án C.
$\begin{aligned}\displaystyle\int\limits_0^3f(x)\mathrm{d}x&=\displaystyle\int\limits_0^1f(x)\mathrm{d}x+\displaystyle\int\limits_1^3f(x)\mathrm{d}x\\ &=2+5=7.\end{aligned}$