Fundamental theorem of calculus

Stokes’s theorem

Let be an oriented piecewise-smooth surface bounded by a positively oriented, piecewise smooth, simple closed curve . If is a vector field differentiable in then calculus

Note that the left hand side is equivalent to the circulation integral .¹

Practice problems

• 2016. Calculus, pp. 1179–1180 (§16.9 exercises)

---

develop | en | sembr | review

Footnotes

1. 2016. Calculus, p. 174 ↩