Main content

# Integrals

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

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!

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 600 Mastery points

Learn

Practice

Trigonometric substitutionGet 3 of 4 questions to level up!

Learn

Practice

Integration by partsGet 3 of 4 questions to level up!

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

Practice

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

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

Up next for you:

Level up on all the skills in this unit and collect up to 3700 Mastery points!