# 3

Let's begin by defining and plotting the function involved in this problem :

> f := 1/(16+w^2);

> plot( f, w=0..4, 0..0.1, title=`Function for problem 3` );

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The average value of f over the interval [ 0, 4 ] is given by the following expression :

> avgval := 1/4 * Int( f, w=0..4 );

The value of this expression is :

> f_avg := value( avgval );

To obtain an approximate numeric value for the average value the evalf command can be used :

> evalf( f_avg );

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Going Further