Primitive of Secant Function/Also presented as

Primitive of Secant Function: Also presented as

Some sources present Primitive of Secant Function 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

  • 1976: K. Weltner and W.J. Weber: Mathematics for Engineers and Scientists ... (previous) ... (next): $6$. Integral Calculus: Appendix: Table of Fundamental Standard Integrals