In this video I go over an integral trig identity and solve for the integral of sec(x) or secant(x) and show that it is equal to ln|sec(x) + tan(x)| + C. In the proof I use a clever technique of multiplying the top and bottom of the integral by sec(x) + tan(x) and then use the substitution rule to simplify the integral.

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Trigonometry Identity: Integral of sec(x)

Proof: