Eng
+1-480-493-0093

1.2.1 Appendix

Let us integrate an arbitrary function from to .

(A1)

Defining as

(A2)

where – average value of a function on the interval from to , . Then equation (A1) can be rewritten as

(A3)

Considering a Taylor series expansion of the integrand (A3) in and neglecting and higher order members, we get

(A4)

The second term in (A4) vanishes upon integration, therefore (A4) can be expressed as

(A5)

where the correction factor is

(A6)