Calculus › Section J · Infinite series › Topic J.3
The integral test and p-series
Most series have no closed-form sum at all, so the real question is a yes-or-no one: does the running total settle? The integral test answers it by turning series into an area you already know how to measure.
In this topic
- When you cannot find the sum
- The integral test
- Why it works: rectangles under a curve
- p-series
- Worked example: a logarithmic series
- Remainders: how good is a partial sum?
- Worked example: bounding a tail
- Common mistakes to avoid
- Key takeaways
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Standards: 10 (BC)