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>