I'm just writing to say this is a common condition. My wife has had panic attacks for several years, probably stress from our children ...

... and a number of people I've met have had them, so I think this is becoming an increasingly common condition.
I am a 43 year old male who has been having many of the same anxiety symptoms (racing pulse, dizziness, fear of dying or going crazy, tingling, chest and abdominal pain, etc.) as the people above. I have panic attacks or near attacks (extreme anxiety) for a little more than a year, with two trips to the ER before I finally started taking Xanax to stop the attacks. I've had lots of tests and there is apparently nothing physically wrong with me, except for whatever is causing the anxiety.
Anyway, I sometimes get weakness, dizziness, and shakiness after exercise and it was stressing me out and making me afraid to exercise. Xanax somehow helps get rid of the skaking and other symptoms. I just returned from shoveling snow for an hour and had the shakiness, weird sensations, and anxiety for the first time in a week or so due to exercise. My blood pressure and pulse are normal, close to ideal, while this is happening. The symptoms slowly subsided, but I'm working so I took a Xanax to be sure.
I'm very independent and against taking pills to solve your problems, but the ER visits convinced me I needed help while I work on whatever inside me is causing the underlying anxiety. Often a little Xanax helps a lot. For me, the smallest dose (.25mg) or even half that has a noticeable effect. You may want to see your doctor and give it a try.