Problem 1478 (difficulty: 5/10)

Is there any measurable function \(\displaystyle f:\R\to [0,\infty)\), whose integral over any interval is \(\displaystyle +\infty\)?

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government