• The Antiderivative
• as an area
• as a Riemann sum
• the Fundamental Theorem of Calculus
• rules for calculating integrals

The integral: as a Riemann sum

	3 + 5 + 7 + 9 + 11 = summation from i = 0 to 4 of (3 + 2i) © Dorothy Wallace
	The definite integral © Dan Sloughter 2000
	© Dorothy Wallace
	Approximate area under a curve by adding areas of rectangles © Dorothy Wallace
	What integral equals the limit as n approaches ∞ of the summation from i = 0 to n of (1 + (2i/n)2) © Dorothy Wallace
	Sigma Notation © Dorothy Wallace