Greens Theorem for negatively orientated curve

[thrillhouse86]

Hey All,

in vector calculus we learned that greens theorem can be used to solve path integrals which have positive orientation. Can you use greens theorem if you have negative orientation by 'pretending' your path has positive orientated and then just negating your answer ?

Regards,
THrillhouse

 

[HallsofIvy]

yes, the only change "negative orientation" instead of "positive orientation" makes on the integral is a change in sign. If you allow for that, there is no problem.