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[itex]\int_{C}^{} f(s) \text{d}s = \int_{a}^{b} f(\gamma(t))\|\gamma'(t)\| \text{d}t[/itex]

Unfortunately he hasn't explained this topic very well. I understand what's going on with a line integral but have these few questions:

- What is the 'ds' on the left hand side?

- How do we determine what gamma is?