# Single-Function Properties Exercises

### Example 1

Assuming that

evaluate the following expression.

### Example 2

Assuming that

evaluate the following expression.

*
*

### Example 3

Assuming that

and that *f* (*x*) is an even function,

find the following integral.

*
*

### Example 4

Assuming that

and that *f* ( *x* ) is an even function,

find the following integral.

- .

*
*

### Example 5

Assuming that

and that *f* is an odd function,

what is

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*