Riemann Sum

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A Riemann sum is an estimate, using rectangles, of the area under a curve. A definite integral is defined as a limit of Riemann sums.

Riemann sum is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.


Definite Integral: A definite integral is an integral with upper and lower limits.

Classroom Articles on Calculus I (Up to College Level)

  • Calculus
  • Indefinite Integral
  • Chain Rule
  • Inflection Point
  • Continuous Function
  • Integral
  • Critical Point
  • Intermediate Value Theorem
  • Derivative
  • Limit
  • Discontinuity
  • Maximum
  • Extreme Value Theorem
  • Mean-Value Theorem
  • First Derivative Test
  • Minimum
  • Fundamental Theorems of Calculus
  • Newton's Method
  • Implicit Differentiation
  • Second Derivative Test