JEE Advance - Mathematics (2000 - No. 31)
Let $$f\left( x \right) = \int {{e^x}\left( {x - 1} \right)\left( {x - 2} \right)dx.} $$ Then $$f$$ decreases in the interval
$$\left( { - \infty ,2} \right)$$
$$\left( { - 2, - 1} \right)$$
$$\left( {1,2} \right)$$
$$\left( {2, + \infty } \right)$$