Pumping water problems are Calculus 2 work problems with changing force and changing lift distance. This Woody Calculus lesson develops the complete slice method and solves a cylindrical-tank example step by step.
Line integrals are one of the core ideas in Calculus 3 and vector calculus. Learn what line integrals measure, how vector fields interact with paths, why direction matters, and when different paths from the same start to the same end can produce different work.