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

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

Ic

Calculus · series session

#### Integration and accumulation of change

1

AJ

Arhan J

0

5/10

Ic

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.

SS

Sahana S

0

1/15

Ic

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.

SS

Sahana S

0

1/15

Ic

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.

SS

Sahana S

0

1/15

Ic

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!

IS

SF

Sam F and Isahi S

0

14/20

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