# Indefinite integral as anti-derivative

8 videos
3 skills
You are very familiar with taking the derivative of a function. Now we are going to go the other way around--if I give you a derivative of a function, can you come up with a possible original function. The symbol which we'll use to denote the anti-derivative will see strange at first, but it will all come together in a few tutorials when we see the connection between areas under curves, integrals and anti-derivatives.

### Antiderivatives and indefinite integrals

VIDEO 3:43 minutes

### Indefinite integrals of x raised to a power

VIDEO 5:48 minutes

### Antiderivative of x^-1

VIDEO 7:35 minutes

### Basic trig and exponential antiderivatives

VIDEO 4:04 minutes

### Antiderivative of hairier expression

VIDEO 6:16 minutes

### Finding antiderivatives

PRACTICE PROBLEMS

### Visually determining antiderivative

VIDEO 4:27 minutes

### Graphs of indefinite integrals

VIDEO 4:06 minutes

### Graphs of antiderivatives

PRACTICE PROBLEMS
Identify the graphs of antiderivatives

### Velocity and position from acceleration

VIDEO 8:32 minutes

### Finding the constant of integration

PRACTICE PROBLEMS