If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains ***.kastatic.org** and ***.kasandbox.org** are unblocked.

Main content

AP Calc:

CHA (BI)

, CHA‑4 (EU)

, FUN (BI)

, FUN‑5 (EU)

, FUN‑6 (EU)

, LIM (BI)

, LIM‑5 (EU)

, LIM‑6 (EU)

Not feeling ready for this? Check out Get ready for AP® Calculus.

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)Learn

Practice

Left & right Riemann sumsGet 3 of 4 questions to level up!

Over- and under-estimation of Riemann sumsGet 3 of 4 questions to level up!

Midpoint & trapezoidal sumsGet 3 of 4 questions to level up!

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)Learn

Practice

Summation notationGet 3 of 4 questions to level up!

Riemann sums in summation notationGet 3 of 4 questions to level up!

Definite integral as the limit of a Riemann sumGet 3 of 4 questions to level up!

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

AP Calc:

FUN (BI)

, FUN‑5 (EU)

, FUN‑5.A (LO), FUN‑5.A.1 (EK), FUN‑5.A.2 (EK)Learn

Practice

Functions defined by definite integrals (accumulation functions)Get 3 of 4 questions to level up!

Finding derivative with fundamental theorem of calculusGet 3 of 4 questions to level up!

Finding derivative with fundamental theorem of calculus: chain ruleGet 3 of 4 questions to level up!

AP Calc:

FUN (BI)

, FUN‑5 (EU)

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

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.A (LO), FUN‑6.A.1 (EK), FUN‑6.A.2 (EK)Learn

Practice

Finding definite integrals using area formulasGet 3 of 4 questions to level up!

Finding definite integrals using algebraic propertiesGet 3 of 4 questions to level up!

Definite integrals over adjacent intervalsGet 3 of 4 questions to level up!

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

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)Learn

Practice

The fundamental theorem of calculus and definite integralsGet 3 of 4 questions to level up!

Antiderivatives and indefinite integralsGet 3 of 4 questions to level up!

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

AP Calc:

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.C (LO), FUN‑6.C.1 (EK), FUN‑6.C.2 (EK)Learn

Practice

Reverse power ruleGet 3 of 4 questions to level up!

Reverse power rule: negative and fractional powersGet 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!

AP Calc:

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.C (LO), FUN‑6.C.1 (EK), FUN‑6.C.2 (EK)Learn

Practice

Indefinite integrals: eˣ & 1/xGet 3 of 4 questions to level up!

Indefinite integrals: sin & cosGet 3 of 4 questions to level up!

AP Calc:

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.B (LO), FUN‑6.C (LO)Learn

Practice

Definite integrals: reverse power ruleGet 3 of 4 questions to level up!

Definite integrals: common functionsGet 3 of 4 questions to level up!

Definite integrals of piecewise functionsGet 3 of 4 questions to level up!

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

AP Calc:

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.D (LO), FUN‑6.D.1 (EK), FUN‑6.D.2 (EK)Learn

Practice

𝘶-substitution: defining 𝘶Get 3 of 4 questions to level up!

𝘶-substitution: indefinite integralsGet 3 of 4 questions to level up!

𝘶-substitution: definite integralsGet 3 of 4 questions to level up!

AP Calc:

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.D (LO), FUN‑6.D.3 (EK)Learn

Practice

Integration using long divisionGet 3 of 4 questions to level up!

Integration using completing the squareGet 3 of 4 questions to level up!

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

AP Calc:

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.E (LO), FUN‑6.E.1 (EK)Learn

Practice

Integration by partsGet 3 of 4 questions to level up!

Integration by parts: definite integralsGet 3 of 4 questions to level up!

AP Calc:

FUN (BI)

, FUN‑6 (EU)

, FUN‑6.F (LO), FUN‑6.F.1 (EK)Practice

Integration with partial fractionsGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑6 (EU)

, LIM‑6.A (LO), LIM‑6.A.1 (EK), LIM‑6.A.2 (EK)Learn

Practice

Improper integralsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 400 Mastery points

Up next for you:#### Unit test

Level up on all the skills in this unit and collect up to 3400 Mastery points!AP® is a registered trademark of the College Board, which has not reviewed this resource.