Main content
Unit 1: Integrals review
2,600 possible mastery points
Mastered
Proficient
Familiar
Attempted
Not started
Quiz
Unit test
About this unit
Review what integrals are and basic ways of calculating them.
Learn سیکھیے
Practice مشق
- Accumulation of changeGet 3 of 4 questions to level up!
Learn سیکھیے
Practice مشق
- 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 سیکھیے
Practice مشق
- Summation notationGet 3 of 4 questions to level up!
Practice مشق
- Riemann sums in summation notationGet 3 of 4 questions to level up!
Practice مشق
- 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 560 Mastery points
Learn سیکھیے
- No videos or articles available in this lesson
Practice مشق
- 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!
Practice مشق
- Interpreting the behavior of accumulation functionsGet 3 of 4 questions to level up!
Practice مشق
- 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 560 Mastery points
Practice مشق
- 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 سیکھیے
Practice مشق
- 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 480 Mastery points
Learn سیکھیے
Practice مشق
- 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 سیکھیے
- No videos or articles available in this lesson
Practice مشق
- 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 480 Mastery points
Up next for you:
Level up on all the skills in this unit and collect up to 2,600 Mastery points!