Final answer:
Stress incontinence is the medical term for the specific type of urinary incontinence caused by coughing.
Step-by-step explanation:
The medical term for the specific type of urinary incontinence caused by coughing is stress incontinence. Stress urinary incontinence is characterized by the leakage of small amounts of urine with activities that increase abdominal pressure, such as coughing, sneezing, or lifting. It is usually caused by the loss of support of the urethra, commonly due to stretching of pelvic floor muscles during childbirth.