In this video, I present the fundamental theorem for line integrals, which basically says that if a vector field ha antiderivative, then the line integral is very easy to calculate. This illustrates why conservative vector fields are so important! I also provide a proof of the FTC, which uses... the chen lu!!! Finally, I show why we need the condition P_y = Q_x to check if a vector field is conservative. Enjoy!
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Fundamental Theorem of line integrals
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