Nếu $\displaystyle\displaystyle\int\limits_{0}^{1}f(x)\mathrm{\,d}x=5$ và $\displaystyle\displaystyle\int\limits_{0}^{1}g(x)\mathrm{\,d}x=4$ thì $\displaystyle\displaystyle\int\limits_{0}^{1}\big[f(x)-g(x)\big]\mathrm{\,d}x$ bằng
$54$ | |
$20$ | |
$9$ | |
$1$ |
Chọn phương án D.
Ta có $\begin{aligned}[t]
\displaystyle\int\limits_{0}^{1}\big[f(x)-g(x)\big]\mathrm{\,d}x&=\displaystyle\int\limits_{0}^{1}f(x)\mathrm{\,d}x-\displaystyle\int\limits_{0}^{1}g(x)\mathrm{\,d}x\\
&=5-4=1.
\end{aligned}$