The interval in which \( f(x)=\int_{0}^{x}\left\{(t+1)\left(e^{t}-1\right)(t-2)(t+4)\right\} d t \) increases and decreases
(a) increases on \( (-\infty,-4) \cup(-10) \cup(2, \infty) \) and decreases on \( (-4,-1) \cup(0,2) \)
(b) increases on \( (-\infty,-4) \cup(-1,2) \) and decreases on \( (-4,-1) \cup(2, \infty) \)
(c) increases on \( (-\infty,-4) \cup(2, \infty) \) and decreases on \( (-4,2) \)
(d) increases on \( (-4,-1) \cup(0,2) \) and decreases on \( (-\infty,-4) \cup(-10) \cup(2, \infty) \)
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