Math notes/Calculus III/Vector CalculusStokes’ Theorem — Cheat sheetCHEAT SHEET · FREELessonCheat sheet →Unit cheat sheet →Save as PDF ↓Choose “Save as PDF” in the print dialog.On this pageCore ruleWatch forCore rule∮∂SF⋅dr=∬S(∇×F)⋅n dS.\oint_{\partial S}\mathbf F\cdot d\mathbf r=\iint_S(\nabla\times\mathbf F)\cdot\mathbf n\,dS.∮∂SF⋅dr=∬S(∇×F)⋅ndS. Watch forUse the right-hand rule. Integrate curl, not the original field, across the surface.← PREVIOUS LESSONThe Divergence TheoremNEXT LESSON →Calculus III: Engineering Checkpoint