Primitive of Secant Function/Also presented as

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Primitive of Secant Function: Also presented as

Some sources present this result as the primitive of the reciprocal of the cosine function:

\(\ds \int \dfrac {\d x} {\cos x}\) \(=\) \(\ds \ln \size {\sec x + \tan x} + C\)
\(\ds \int \dfrac {\d x} {\cos x}\) \(=\) \(\ds \ln \size {\map \tan {\frac x 2 + \frac \pi 4} } + C\)


Sources