Cheating husband

I just found out that my husband of 13 years are cheating on me for the last 6 years! My first reaction is to leave him because i feel betrayed and disbelief. But he beg me stay and promise to stop his affair. For the sake of our children (10yo to 4 months), i decide to stay. But i couldnt cope with my anger, dissapointment, resentment, sadness, and all this lead to me having depression. Now i feel stuck and finding ways to cope this.