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# Unit: Integration and accumulation of change

AP Calc:
CHA (BI)
,
CHA‑4 (EU)
,
FUN (BI)
,
FUN‑5 (EU)
,
FUN‑6 (EU)
,
LIM (BI)
,
LIM‑5 (EU)
Not feeling ready for this? Check out Get ready for AP® Calculus.

#### 0

Possible mastery points

## Exploring accumulations of change

AP Calc:
CHA (BI)
,
CHA‑4 (EU)
,
CHA‑4.A (LO), CHA‑4.A.1 (EK), CHA‑4.A.2 (EK), CHA‑4.A.3 (EK), CHA‑4.A.4 (EK)

## Approximating areas with Riemann sums

AP Calc:
LIM (BI)
,
LIM‑5 (EU)
,
LIM‑5.A (LO), LIM‑5.A.1 (EK), LIM‑5.A.2 (EK), LIM‑5.A.3 (EK), LIM‑5.A.4 (EK)

## Riemann sums, summation notation, and definite integral notation

AP Calc:
LIM (BI)
,
LIM‑5 (EU)
,
LIM‑5.B (LO), LIM‑5.B.1 (EK), LIM‑5.B.2 (EK), LIM‑5.C (LO), LIM‑5.C.1 (EK), LIM‑5.C.2 (EK)

#### Quiz 1

Level up on the above skills and collect up to 700 Mastery points

## The fundamental theorem of calculus and accumulation functions

AP Calc:
FUN (BI)
,
FUN‑5 (EU)
,
FUN‑5.A (LO), FUN‑5.A.1 (EK), FUN‑5.A.2 (EK)

## Interpreting the behavior of accumulation functions involving area

AP Calc:
FUN (BI)
,
FUN‑5 (EU)
,
FUN‑5.A (LO), FUN‑5.A.3 (EK)

#### Quiz 2

Level up on the above skills and collect up to 700 Mastery points

## The fundamental theorem of calculus and definite integrals

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.B (LO), FUN‑6.B.1 (EK), FUN‑6.B.2 (EK), FUN‑6.B.3 (EK)
Practice
Antiderivatives and indefinite integralsGet 3 of 4 questions to level up!

#### Quiz 3

Level up on the above skills and collect up to 200 Mastery points

## Finding antiderivatives and indefinite integrals: basic rules and notation: reverse power rule

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.C (LO), FUN‑6.C.1 (EK), FUN‑6.C.2 (EK)
Practice
Reverse power ruleGet 3 of 4 questions to level up!
Reverse power rule: sums & multiplesGet 3 of 4 questions to level up!
Reverse power rule: rewriting before integratingGet 3 of 4 questions to level up!

## Finding antiderivatives and indefinite integrals: basic rules and notation: common indefinite integrals

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.C (LO), FUN‑6.C.1 (EK), FUN‑6.C.2 (EK)
Practice
Indefinite integrals: eˣ & 1/xGet 3 of 4 questions to level up!
Indefinite integrals: sin & cosGet 3 of 4 questions to level up!

## Finding antiderivatives and indefinite integrals: basic rules and notation: definite integrals

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.B (LO), FUN‑6.C (LO)

#### Quiz 4

Level up on the above skills and collect up to 900 Mastery points

## Integrating using substitution

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.C.3 (EK), FUN‑6.D (LO), FUN‑6.D.1 (EK)

## Integrating functions using long division and completing the square

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.D (LO), FUN‑6.D.3 (EK)
Practice
Integration using long divisionGet 3 of 4 questions to level up!
Integration using completing the squareGet 3 of 4 questions to level up!

#### Quiz 5

Level up on the above skills and collect up to 500 Mastery points

## Optional videos

Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 3000 Mastery points!