# Properties of the definite integral

7 videos

1 skill

As with any other mathematical operation, studying the properties of definite integrals will be a way of kicking the tires and getting a feel for how they work. Not only will this sharpen your understanding of integrals, but it will help to make computations easier down the road.

### Integrating scaled version of function

VIDEO
5:21 minutes

### Integrating sums of functions

VIDEO
6:46 minutes

If you know the integrals of two functions, what is the integral of their sum?

### Definite integral over a single point

VIDEO
2:31 minutes

What happens when the bounds of your integral are the same?

### Breaking up integral interval

VIDEO
3:06 minutes

By subdividing the stretch of numbers where you are integrating, you can break up an integral.

### Definite integral of shifted function

VIDEO
4:26 minutes

When you shift a function, what happens to its integral?

### Switching bounds of definite integral

VIDEO
4:37 minutes

What happens when you swap the bounds on an integral?

### Examples leveraging integration properties

VIDEO
6:22 minutes

Watch how some integral properties can actually be used.