求∫1/(e^x+e^-x)dx

问题描述:

求∫1/(e^x+e^-x)dx

∫[1/(e^x+e^-x)]dx
=∫[e^x/(e^2x+1)]
=∫[1/(e^2x+1)]d(e^x)
=arctan(e^x)+C.