
begehren
to desire
To have a strong, intense longing for someone or something; to very much want to possess or achieve something or someone.
Er begehrte sie vom ersten Augenblick an.
He desired her from the very first moment.
to desire / request
Loading your saved state.

to desire
To have a strong, intense longing for someone or something; to very much want to possess or achieve something or someone.
Er begehrte sie vom ersten Augenblick an.
He desired her from the very first moment.

to request
In a formal or legal context, to demand or apply for something.
Die Klägerin begehrte mit ihrer Klage einen hohen Schadensersatz.
In her lawsuit, the plaintiff requested a large amount of damages.
The prefix 'be-' is inseparable. It remains firmly attached to the verb stem in all sentence forms and is not placed at the end of the sentence.
Sie hat nichts anderes begehrt als ein Leben in Frieden.
She desired nothing other than a life in peace.
'Begehren' (to desire/request) is a transitive verb and always needs a direct object in the accusative. One always desires or requests 'etwas' (something) or 'jemanden' (someone).
Was begehrst du von mir?
What do you want from me?
'Begehren' (to desire/request) is a word of elevated, formal style. For strong desire, it is often used poetically or literarily, while in the sense of 'fordern' (to demand) it occurs in administrative and legal language.
Der Romanheld begehrte nur noch Rache für den Verrat.
The hero of the novel desired nothing but revenge for the betrayal.
to apply for
Both words can refer to a formal request for approval. Beantragen describes the official application as a procedure, whereas begehren requests the approval itself in formal language. Beantragen is suitable for a normal application to an authority; begehren is possible in formal demands.

Die Familie begehrt in ihrem Schreiben die Genehmigung für den Umbau.
In its letter, the family formally requests approval for the remodeling.
Die Familie beantragt bei der Behörde eine Genehmigung für den Umbau.
The family is applying to the authorities for approval to remodel the building.