This video demonstrates that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent. See how to solve vector-field integrals with this free video calculus lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

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