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Integral of secant cubed

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The integral of secant cubed is a frequent and challenging indefinite integral of elementary calculus. Integral of sec³x is as follows: ∫ sec 3 ⁡ x d x = 1 2 d d x sec ⁡ x + 1 2 ∫ sec ⁡ x d x + C = 1 2 sec ⁡ x tan ⁡ x + 1 2 ∫ sec ⁡ x d x + C = 1 2 ( sec ⁡ x tan ⁡ x + ln ⁡ | sec ⁡ x + tan ⁡ x | ) +…

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