Main content

# Unit 6: Integrals

3,200 possible mastery points

Mastered

Proficient

Familiar

Attempted

Not started

Quiz

Unit test

### 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 560 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 560 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 480 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 480 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 480 Mastery points

Up next for you:

Level up on all the skills in this unit and collect up to 3,200 Mastery points!