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Evaluate sec3θ dθ

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I=sec3θ dθ=sec θsec2 θ dθtan θ(sec θ tan θ) dθ=sec θ tan θ(sec2 θ1)sec θ dθ=sec θ tan θ1+ln|sec θ+tan θ|I=12[sec θ tan θ]+12 ln |sec θ tan θ|+c

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