Solution of the Variable Costs Strategy Cost Integral

Starting with eq. 16:

eq. 16a:

now since:

then substituting for p(x) into eq. 16a:

eq16 a(i):

integrating eq. 16a(i) by parts:

and since exp(- 0 / V) = 1:

multiplying through by -V and rearranging:

and finally, factoring to get our answer:

eq. 16b: