If the displacements are allowed to approach zero, then the number of terms in the sum increases... VIDEO
If the displacements are allowed to approach zero, then the number of terms in the sum increases without limit, but the sum approaches a definite value equal to the area under the curve in given figure.
What is the net work done by varying force \( F(x) \) from position \( x_{i} \) to \( x_{f} \) ?
(a) \( \int_{x_{f}}^{x_{i}} F(x) d x \)
(b) \( \int_{0}^{x_{f}} F(x) d x \)
(c) \( \int_{x_{i}}^{x_{f}} F(x) d x \)
(d) \( \int_{x_{i}}^{0} F(x) d x \)
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