Analysis is a word that is also often used when taking a critical approach to something. It could be that you look at some evidence and if you think it is good quality, you may choose to include that in your essay or writing to help support your argument. When you have analysed different sets of evidence you may synthesize all the ideas gathered from multiple sources bringing together the relevant information into a different argument or idea.
To evaluate something or someone, you think and consider it or them in order to make a judgment about it/them; this could be as simple as how good or bad they are. When you critically evaluate something or someone you consider how judgments vary from different perspectives and how some judgments are stronger than others. This often means creating an objective, reasoned argument for your overall case, based on the evaluation from different perspectives.
Taking a critical approach when you are studying involves constantly asking questions and keeping an open mind.