I stopped smoking cigarettes about 2-3 weeks ago, i did a urine drug test with quest diagnostics will my urine test positive for nicotine/ cotinine?

Urine nicotine: Data show that urine can still test positive for 10 to 15 days, and even 20 days in some. Urine can test positive for 20-25 days for cotinine.

Possibly: “When someone stops using tobacco & nicotine products, it can take more than 2 weeks for the blood level of cotinine to drop to the level that a non-tobacco user would have & several weeks more for the urine level to decrease to a very low concentration.” REF: http://labtestsonline.org/understanding/analytes/nicotine/tab/test/