,

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

Set-Builder Notation:

is continuous on .

is continuous

The average value of function over the interval is defined as .

Substitute the actual values into the formula for the average value of a function.

The integral of with respect to is .

Evaluate at and at .

Simplify.

Anything raised to is .

Multiply by .

Multiply by .

Add and .

Apply the distributive property.

Combine and .

Combine and .

Move the negative in front of the fraction.

Find the Average Value of the Function f(x)=e^x , [0,5]