Study Guide

# Definite Integrals Topics

### Left-Hand Sum

We have formulas to find areas of shapes like rectangles, triangles, and circles (pi, anyone?)....

### Right-Hand Sum

There is much debate about who is more awesome...right-handers or south-paws. Would you want...

### Comparing Right- and Left-Hand Sums

Left Hand Sums and Right Hand Sums give us different approximations of the area under of a curve....

### Midpoint Sum

We're driving along from right coast to the left coast, and now it's time to take a rest stop at...

### Trapezoid Sum

All of these summations are starting to feel like Rube Goldberg Machines. Granted, Rube Goldberg...

### Comparison of Sums

You'll probably get asked to compare the accuracy of different types of sums. Here are the main...

### Definite Integrals of Non-Negative Functions

When f is a non-negative function and a < b, the area between the graph of f and the...

### Definite Integrals of Real-Valued Functions

When we're integrating a non-negative function from a to b, the integral

### Properties of Definite Integrals

There are a lot of useful rules for how to combine integrals, combine integrands, and play with...

### Average Value

We know how to take the average of a group of numbers: add all the numbers and divide by how...

### In the Real World

Remember all that stuff about left-hand sums and right-hand sums? That's why your calculator...

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