On-line Math 21

3.3.3  Integrals of hyperbolic functions

Reading the derivative formulas for hyperbolic functions backwards gives formulas for their integrals, such as

ó õ sinhx dx = coshx+c, ó õ coshx dx = sinhx+c, ó õ sech2x dx = tanhx+c.

In addition, there are formulas for integals of sech x or tanhx as well:

ó õ tanhx dx = ln( coshx) +c ó õ sech x dx = arctan(sinhx)+c.

Actually, that last one is a surprise.

Copyright (c) 2000 by David L. Johnson.