Find the intervals in which `f(x) = int_(0)^(x){e^(t) - 1)(t+1)(t-2)(t+4)`. dt increases and decreases. Also find the points of local maxima and local minima of (x).

Answer

f(x) increases in `(-oo, -4) cup (-1, 0) cup (2, oo)`, decreases in `(-4, -1) cup (0, 2)`. f(x) has local maxima at x = -4.0; local minima at x = -1, 2