Помогите, пожалуйста, найти интеграл
int 1/(e^(2x) - 1)^(1/2) dx

int 1/(e^(2x) - 1)^(1/2) dx =
= | (e^(2x) - 1)^(1/2) = t, e^(2x) = t^2 + 1, x = 1/2 * ln (t^2 + 1),
dx = 1/2 * 1/(t^2 + 1) * 2t dt = t/(t^2 + 1) dt | =
= int 1/t * t/(t^2 + 1) dt = int dt/(1 + t^2) = arctg t + C =
= | t = (e^(2x) - 1)^(1/2) | = arctg ((e^(2x) - 1)^(1/2)) + C