Encyclopedia > List of integrals of area functions

  Article Content

List of integrals of area functions

The following is a list of Integrals (Antiderivative functions) of area functions[?]. For a complete list of Integral functions, please see Table of Integrals and List of integrals.

<math>\int\mathrm{arsinh}\,\frac{x}{c}\,dx = x\,\mathrm{arsinh}\,\frac{x}{c}-\sqrt{x^2+c^2}</math>

<math>\int\mathrm{arcosh}\,\frac{x}{c}\,dx = x\,\mathrm{arcosh}\,\frac{x}{c}-\sqrt{x^2-c^2}</math>

<math>\int\mathrm{artanh}\,\frac{x}{c}\,dx = x\,\mathrm{artanh}\,\frac{x}{c} + \frac{c}{2}\ln|c^2 - x^2| \qquad\mbox{(for }|x|<|c|\mbox{)}</math>

<math>\int\mathrm{arcoth}\,\frac{x}{c}\,dx = x\,\mathrm{arcoth}\,\frac{x}{c} + \frac{c}{2}\ln|x^2 - c^2| \qquad\mbox{(for }|x|>|c|\mbox{)}</math>

All Wikipedia text is available under the terms of the GNU Free Documentation License

  Search Encyclopedia

Search over one million articles, find something about almost anything!
  Featured Article
Wheatley Heights, New York

... $79,745. Males have a median income of $46,444 versus $34,000 for females. The per capita income for the town is $25,432. 4.8% of the population and 3.4% of families ar ...

This page was created in 36.3 ms