HOW TO USE "TEXT PUZZLES"

  • Study the information below.
    Words highlighted in light grey are potential puzzle pieces.
  • Type in a percentage and click the button to create a puzzle.
  • Click on an empty box to see the correct answer.
  • REFRESH the page to start over.
What percent of the puzzle pieces would you like to choose?  

Connection between
AREA and ANTIDERIVATIVES
(low level of precision)


Let f be continuous on [a,b]  (and assume f0 for this motivation).

Let A(x) denote the area under the graph of f on [a,x].

It's plausible that A is an antiderivative for f, since for small Δx,

A (x) A(x+Δx)-A(x)Δx f(x)Δx Δx = f(x) .

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