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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)
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#### 0

Possible mastery points

The definite integral is an important tool in calculus. It calculates the area under a curve, or the accumulation of a quantity over time. Riemann sums allow us to approximate integrals, while the fundamental theorem of calculus reveals how they connect to derivatives.

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)

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 560 Mastery points

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

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

## Applying properties of definite integrals

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.A (LO)
,
FUN‑6.A.1 (EK)
,
FUN‑6.A.2 (EK)

#### Quiz 2

Level up on the above skills and collect up to 560 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

#### Quiz 3

Level up on the above skills and collect up to 160 Mastery points

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.C (LO)
,
FUN‑6.C.1 (EK)
,
FUN‑6.C.2 (EK)

AP Calc:
FUN (BI)
,
FUN‑6 (EU)
,
FUN‑6.C (LO)
,
FUN‑6.C.1 (EK)
,
FUN‑6.C.2 (EK)

## 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)

### Practice

#### Quiz 4

Level up on the above skills and collect up to 720 Mastery points

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

#### Quiz 5

Level up on the above skills and collect up to 400 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!
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