Give up= no longer try to meet a goal Give in= allow an opponent of your opinion or will to have their way I more often say give up than give in.

The meaning is very similar but the grammar is different. I can give up trying to climb a mountain, or I can give in to the mountain. I can give up fighting someone, or I can give in to someone in a fight. I can give up staying awake, or I can give in to sleep.

blue song "one love" there is a line on its lyric : " I don't wanna give up I don't wanna give in ..." so i think u can use both in the same time .. CMIIW :)