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The definition tag is used in situations where the question is either about how some term or concept is defined or where the validity of an answer depends on a subtle definition of some term or concept used in the question.

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Understanding the equation for Potential Energy

I am having a hard time understanding why Potential Energy can be calculated in the following way: $$ \Delta U = U_f - U_i = -\int_{x_i}^{x_f} F_x dx $$ In particular, I don't understand why there i …