Forming Infinitives Construct in Hebrew:

According to wikipedia:

The infinitive of a verb is its basic form with or without the particle to: therefore, do and to do, be and to be, and so on are infinitives

My interpretation is it the action form of a verb. I.E. to do, to run, to live, to love

The same forms can be used for the other construct prefixes: ב,כ,ל,מ

Here are the patterns to form gerunds in Hebrew:

Binyan feeling pattern Notes example root example
פָּעָל Root לִפְעֹל Remember the dagesh qal in the ע if needed after a shva ספר לִסְפֹּר
פִּעֵّל  Intensive לְפַעֵל Dagesh forte in ע ספר לְסַפֵּר
הִפְּעִיל Causative לְהַפְעִיל Remember the dagesh  qal in the ע if needed after a shva כתב לְהַכְתִּיב
הִתְפַּעֵّל Reflexive לְהִתְפַּעֵל dagesh foret in ע Remember the dagesh qal in the פ if needed after a shva כתב לְהִתְכַּתֵּב
נִפְעַל Passive לְהִפַָּעֵל dagesh in פ Due to the removal of the נ כנס לְהִכָּנֵס