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Its Good to be Back

##\int_{x_i}^{x_f} F(x) \, dx=\int_{x_i}^{x_f} ma \, dx##.

If ##F## is a variable force then how can we write ##ma##?

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From Resnik, Fundamentals of physics: Consider a particle of mass m, moving along an x-axis and acted on by a net force F(x) that is directed along that axis. The work done on the particle by this force as the particle moves from position ##x_i## to position ##x_f## is given byFrom Resnik, Fundamentals of physics

##\int_{x_i}^{x_f} F(x) \, dx=\int_{x_i}^{x_f} ma \, dx##.

If ##F## is a variable force then how can we write ##ma##?