The Integral: Adding Up Infinitely Many Slices

An integral adds up infinitely many tiny pieces. The area under a curve, the distance from a speed graph, the volume of an odd-shaped tank: all the same operation. This video builds the idea from rectangles and shows it meeting the derivative halfway.

You'll see why integration undoes differentiation and how that is used to compute real quantities.

In this video

• Area under a curve from rectangles
• Distance from a speed graph
• The fundamental theorem, in pictures
• Integrals in engineering calculations