Highlights of Calculus - Big Picture: Integrals

The second half of calculus looks for the distance traveled even when the speed is changing. Finding this "integral" is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance. I know the speed at each moment of my trip, so how far did I go? View the complete course at: http://ocw.mit.edu/highlights-of-calculus Chapters 00:00 Outline 00:24 Function (2) is the Derivative of Function (1); Function (1) is the Integral of Function (2) 01:53 Plan A: Recognize Function (2) as a known slope 10:35 Example: Finding Function (1) using Algebra 13:20 Example: Finding Function (1) using Calculus 17:48 Plan B: Integral = Function (1) = Area under graph (2) License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Subtitles are provided through the generous assistance of Jimmy Ren.