Question

Investigate the maxima and minima for the function f(x) =∫(2(t – 1)(t – 2)³ + 3(t – 1)² (t – 2)²)dt for t ∈ [1, x]

Answer 1

Given

Here, x = 1 is the point of maxima, x = 7/5 is the point of minima and x = 2 is the point of inflection.