In academic writing, we talk about how we should try to write actively rather than passively. To craft clear, active sentences, many writers will have to use we at one point or another. Some writers try to avoid this completely, citing a misconstrued notion that avoiding we lends objectivity to your paper. Actually, we can be used in almost any academic paper to great effect.
Have you ever thought that we doesn’t always mean you and me?
You’ve probably heard of The Royal We (“We are not amused”), but there are a number of other non-traditional uses of we, one of which defends our use in academic writing.
The author’s we
The practice common in scientific literature of referring to a generic third person by we (instead of one or the informal you)
Ex: By adding three and five, we obtain eight.
Ex: We are thus led also to a definition of “time” in physics. — Albert Einstein
Here, “we” can refer to “the reader and the author”, since the author often assumes that the reader knows certain principles or previous theorems for the sake of brevity. This saves the author from needing to explicitly write out every step of a method or mathematical proof.
One of the purposes of the author’s we, according to the OED, is “to secure an impersonal style and tone, or to avoid the obtrusive repetition of I.”
To make this sound even more academic, use its latin name: pluralis modestiae.