1

Let:

Find the an antiderivative

Example

2)( xxf

)(xF

Let:

Find an antiderivative

Example

nxxf )(

)(xF

A function is called an

antiderivative of if

DEFINITION

)(xF

)(xf

)()(' xfxF Can we find another one??

2

F091

Sec4.9: ANTIDERIVATIVES

F092

5

)( :Find xF

6

F101

Sec4.9: ANTIDERIVATIVES

The graph of a function is given in Figure 3. Make a rough sketch ofan antiderivative , given that F(0)=2.

Sec4.9: ANTIDERIVATIVES

11

F101

12

F101