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ExploreCalculusIntegration and accumulation of change

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Calculus

Integration and accumulation of change

  • Exploring accumulations of change
  • Approximating areas with Riemann sums
  • Riemann sums, summation notation, and definite integral notation
  • The fundamental theorem of calculus and accumulation functions
  • Interpreting the behavior of accumulation functions involving area
  • Applying properties of definite integrals
  • The fundamental theorem of calculus and definite integrals
  • Finding antiderivatives and indefinite integrals: basic rules and notation: reverse power rule
  • Finding antiderivatives and indefinite integrals: basic rules and notation: common indefinite integrals
  • Finding antiderivatives and indefinite integrals: basic rules and notation: definite integrals
  • Integrating using substitution
  • Integrating functions using long division and completing the square
  • Using integration by parts
  • Integrating using linear partial fractions
  • Evaluating improper integrals

Small-group help sessions in "Integration and accumulation of change"

Register for a session to review this topic with a small group of learners.

Calculus · series session

Integration and accumulation of change

1

Arhan J

0
5/10

Calculus · series session

Integration and accumulation of change

I will be explaining integration as a substitute for repeated addition with examples. I will also show how integration is related to instantaneous changes.

Sahana S

0
1/15

Calculus · series session

Integration and accumulation of change

In this session, I will be deriving formulas of integration of some common curves. Then, I will be showing formulas for integration of some common functions. Lastly, we will do some problems related to it. Please note that I will be covering uni-variate calculus and not multi-variate calculus.

Sahana S

0
1/15

Calculus · series session

Integration and accumulation of change

I will be covering common integration methods (i.e. , integration by substitution, integration by partial fractions and integration by parts). Then, we will do some problems related to each method.

Sahana S

0
1/15

Calculus · series session

Integration and accumulation of change

We will learn something other than derivatives, integrals! These can sometimes be beasts, but they are super fun to solve!

Sam F and Isahi S

0
14/20

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