Part 6

integration

• 6.1

  The definite integral

  An integral is a limit of sums. Watching the rectangles converge is the fastest way to believe that, and to see which rule converges fastest.

  6 min
• 6.2

  The Fundamental Theorem

  Differentiation and integration are inverse operations. That is the theorem, and it is why nobody computes a Riemann sum by hand twice.

  5 min
• 6.3

  Substitution

  The chain rule run backwards. Recognising when it applies is most of the skill; executing it is bookkeeping.

  5 min