Eating calories burned??

My understanding of it is that the calories you burn in exercise are "extra". If you're following the MFP recommended calorie allowance then you're going to loose weight, if you don't eat back your exercise calories you're body could go into starvation mode and you can say goodbye to weight loss.
If you're not eating less calories than you normally would, I would suggest not eating back your exercise calories... Good job on your success so far! Keep it up.

The way i understood it, is if you burn to many cal per day your body gose into a starvation mode were you will actualy gain more weight in the long run. i excercise and burn around 500-900 a day so i eat at least 75% of what i burned off, im still at around 2 1/2 lb weight loss per week. anything more according to dietistions is to much and can be unhealthy.

Wow thats a huge amount of weight to lose in the first week! well done!

First of all, welcome to MFP. I am learning alot with this post of yours, so thanks for posting it!

I recently asked my doctor this exact question and he said not to add the exercise calories. There is lots of debate on this but I do not add mine and I am fine. I have recently upped my calories from 1200 to 1500 on advice of my doc. Good luck on your journey!

Unless you also explained that MFP creates a built in deficit, without any accounting for exercise, and exercising therefor increases that deficit, then he likely didn't understand what you meant (a common misunderstanding by docs/dietitians who aren't familiar with MFP.)

MFP is different than many calorie counters/weight loss programs, or the way that many trainers set up a plan. Most doctors and dietitians also set up plans this way (or simply don't account for anything other than VERY light exercise using a stable cal goal.)
These other plans take your “intended exercise” and use that to create a deficit, keeping your daily cal goal static. Therefore, with other plans, you would not replace calories you burn through exercise. MFP is different and you CANNOT compare them, unless you’re prepared to do some calculations to get apples vs. apples and not apples vs. oranges.

MFP was designed with the idea that many people can't exercise regularly, or at all, due to physical limitations or time. They also recognized that most people set up an exercise plan with good intentions, but as we all know, what’s planned is not necessarily what actually happens every day. So they built the site to allow for weight loss with or without exercise, and keep that loss relatively stable, regardless of exercise.

MFP creates a BUILT IN CALORIE DEFICIT, based on your loss per week goal, regardless of exercise. So when you log exercise, cals are added back in to keep that deficit stable. If you don't replace those cals, you've made your deficit larger than you (presumably) intended. A larger deficit does not necessarily mean faster/more weight loss; it is usually unhealthy and unsustainable and most often backfires, leading to feelings of deprivation, binges, irregular blood sugar levels, lack of energy, slower metabolism, loss of muscle mass, quitting, and weight regain.