why has the engine begun revving up between 1st and 2nd gear and then goes back to normal?

What is your question?

this started about 2 weeks ago, each time after I put the car into drive and begin driving the engine rev's up in what seems going from 1st to 2nd gear. It is now, on occasion also started revving up from stop signs and red lights. I have a small oil leak that is going to be looked for very soon.

What makes this problem better or worse?

Does not matter if car is cold or hot

How long has your 2003 Mitsubishi Outlander had this problem?

about 2 weeks