Yes, ANALYSE is a Scrabble word!

Letter values in Scrabble US: A 1, N 1, A 1, L 1, Y 4, S 1, E 1.

Is it a valid word?

ANALYSE is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

consider in detail and subject to an analysis in order to discover essential features or meaning
break down into components or essential features
make a mathematical, chemical, or grammatical analysis of; break down into components or essential features
subject to psychoanalytic treatment

Also: break down, take apart.

Not playable in Scrabble US: PSYCHOANALYSE.