[verb て-form] + みる
てみる means "try ~ and see". It goes after the て-form of a verb: you do the action to find out what it is like, or whether it works. As a helper verb, みる is written in hiragana, not ×見る.
With てみる the action gets done, and the point is what you find out. ようとする is trying to do something that may not come off.
If the action never happened, てみる is wrong.
みる changes like any る-verb. Three forms come up all the time: てみたい "want to try", てみて "try it", and てみたら "when I tried".