Five each

Five Each is an innovative grid division puzzle inspired by another very similar type of puzzle.
Rules: Place all the given tetrominos at least once into the grid,without overlapping.Every placed figure should contain atleast one of the given numbers.Figures can be rotated or reflected.Numbers contained in all figures of every different shape must add up to 5.Some cell borders may already be given. This introductory puzzle is a bit on the harder side, but logically solvable.