Primitive of Cosecant Function/Also presented as

Primitive of Cosecant Function: Also presented as

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

\(\ds \int \dfrac {\d x} {\sin x}\) \(=\) \(\ds \ln \size {\tan \frac x 2} + C\)
\(\ds \int \dfrac {\d x} {\sin x}\) \(=\) \(\ds -\ln \size {\csc x + \cot x} + C\)
\(\ds \int \dfrac {\d x} {\sin x}\) \(=\) \(\ds \ln \size {\csc x - \cot x} + C\)


Sources

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