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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