Primitive of Cosecant Function/Also presented as
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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