SOLVE THIS DEFINITE INTEGRAL
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All x satisfying the inequality (cot⁻¹ x)² –7(cot⁻¹ x) + 10 > 0, lie in the interval:
(A) (–[infinity], cot5) ∪ (cot4, cot2) (B) (cot2, [infinity])
(C) (–[infinity], cot5) ∪ (cot2, [infinity]) (D) (cot5, cot4)
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