Integral of secx | Calculus 1

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We integrate sec(x) using a little trick, multiplying by (secx+tanx)/(secx+tanx) in order to enable using u-substitution with u = secx+tanx. From there, it's a standard change of variables integral! #apcalculus #calculus1

Integrating secant(x) using longer method:

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Some other antiderivatives (suppressing the additive constant) are arsinch(tan x), artanh(sin x), and, obviously, the inverse Gudermannian function.

tomkerruish