JEE Advance - Mathematics (1988 - No. 29)
Investigate for maxima and minimum the function
$$$f\left( x \right) = \int\limits_1^x {\left[ {2\left( {t - 1} \right){{\left( {t - 2} \right)}^3} + 3{{\left( {t - 1} \right)}^2}{{\left( {t - 2} \right)}^2}} \right]} dt$$$
f(x) has a minimum at x = 1
f(x) has a maximum at x = 1
f(x) has a minimum at x = 7/5
f(x) has a maximum at x = 7/5
f(x) has no extrema