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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

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Integration and accumulation of change

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