Cho \(\int\limits_{2}^{3}{f(x)\text{d}x}=-2\) . Tính \(I=\int\limits_{-\frac{3}{2}}^{-1}{f(-2x)\text{d}x}\) ?

* Hướng dẫn giải

\(I=\int\limits_{-\frac{3}{2}}^{-1}{f\left( -2x \right)\text{d}x}=-\frac{1}{2}\int\limits_{-\frac{3}{2}}^{-1}{f\left( -2x \right)\text{d}\left( -2x \right)}=-\frac{1}{2}\int\limits_{3}^{2}{f\left( x \right)\text{d}x}=-1.\)