Problem type
Integral from the definition with upper and lower sums
- What it solves
- Show from the definition that an increasing polynomial is Riemann integrable on an interval, and compute the integral exactly by trapping the area between lower and upper sums over n equal pieces.
- Subject
- Real Analysis
- Topic
- The integral, built from nothing
- Also called
- Riemann sum, upper and lower sums, Darboux, integral from first principles
- Free example
- Read the complete worked example