Cho \(\displaystyle\int\limits_{-1}^2f(x)\mathrm{\,d}x=5\) và \(\displaystyle\int\limits_0^2f(x)\mathrm{\,d}x=2\). Tính \(I=\displaystyle\int\limits_{-1}^0f(x)\mathrm{\,d}x\).
![]() | \(I=7\) |
![]() | \(I=-3\) |
![]() | \(I=3\) |
![]() | \(I=1\) |
Chọn phương án C.
\(\begin{eqnarray*}
&\displaystyle\int\limits_{-1}^2f(x)\mathrm{\,d}x&=\displaystyle\int\limits_{-1}^0f(x)\mathrm{\,d}x+\displaystyle\int\limits_0^2f(x)\mathrm{\,d}x\\
\Leftrightarrow&5&=I+2\\
\Leftrightarrow&I&=3.
\end{eqnarray*}\)