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/highlightsofcalc...

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)

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Subtitles are provided through the generous assistance of Jimmy Ren.