Main content

# Unit: Accumulation and Riemann sums

#### 0

### About this unit

The definite integral represents the area under the graph of a function between two vertical lines. Sometimes this area isn't found so easily, but we can always estimate it using simpler shapes like rectangles. In fact, the formal definition of the definite integral is based on these approximations, which are called Riemann sums.### Learn

### Practice

- Finding definite integrals using area formulasGet 3 of 4 questions to level up!
- Definite integral by thinking about the function's graphGet 3 of 4 questions to level up!

### 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!

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

### Learn

### Practice

- Summation notation introGet 3 of 4 questions to level up!
- 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 320 Mastery points

### Learn

### Practice

- Using multiple properties of definite integralsGet 3 of 4 questions to level up!
- Definite integrals over adjacent intervalsGet 3 of 4 questions to level up!
- Finding definite integrals using algebraic propertiesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

Up next for you:

Level up on all the skills in this unit and collect up to 1300 Mastery points!