Average value for a function over its entire domain

[Saeed.z]

As we know , the average value of a function

over

is :

i wanted to calculate the average value of a function over its entire domain ( e.g

)

firstly, i divided the interval into 2 intervals

&

and calculated the F_avg for each ,,, is my way correct ? thanks !

 

[sunjin09]

yes, then you'll need to average the two averages.

 

[Saeed.z]

^

thanks !

but if we assumed t= infinity and take the limit so it'd be :

is it correct ? thanks again !