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

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!

Learn

Practice

Summation notationGet 3 of 4 questions to level up!

Learn

Practice

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

Learn

Practice

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

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!

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

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!

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!

Level up on the above skills and collect up to 600 Mastery points

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!

Integrating trig functionsGet 5 of 7 questions to level up!

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 600 Mastery points

Up next for you:#### Unit test

Level up on all the skills in this unit and collect up to 2600 Mastery points!