Recall that the substitution x = a sec implies either x a (in which case

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Recall that the substitution x = a sec θ implies either x ≥ a (in which case 0 ≤ θ < π/2 and tan θ ≥ 0) or x ≤ -a (in which case π/2 < θ ≤ π and tan θ ≤ 0).

Show thatsecx + C = tan¬1 Vx² – 1 + C - secx + C = -tan Vx² – 1 + C if x > 1 if x < -1. dx xVx? .2 х

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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