Mathematics Differential Calculus Applications of Derivatives

Let f(x) = \(\int_1^xe^t(t+2)(t+3)\ dt\). The range in which f(x) is increasing is:

1
(- ∞, - 3) ⋃ (- 2, ∞)
2
(- 3, - 2)
3
(- ∞, 2) ⋃ (3, ∞)
4
(2, 3)

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