Question

\[If F(x)= \int\limits_{}^{}e ^{x}(x-1)(x-2) dx\] then F decreases in
a. \[(-\infty,-2)\]
b. \[(2,\infty)\]
c. (-2,-1)
d. (1,2)
explain by solving.

Answer 1

when e^x(x−1)(x−2) > 0, the integral will be increasing; and when e^x(x−1)(x−2) < 0, the integral will be decreasing