Interactive application Educational WIP
Interactive
Overview · selected highlights

Integral Atlas · A guide to tricky integrals

A work-in-progress notebook for studying tricky integrals. Start with a worked example, identify the useful move and inspect a contour when it helps explain the argument. Integral Bee supplied the original puzzle; the focus is now on a smaller set of reusable ideas.

Choose a path through a difficult integral
DeformIntegrateExplain
Brochure →Open project ↗
  1. ∫

    Recognize the structure

    Look for symmetry, a useful substitution or a parameter worth varying.

  2. ⇒

    Follow the argument

    Read a worked route with the conditions that make each step legal.

  3. ∮

    See the construction

    Inspect contours, branch cuts and separate boundary contributions.

  4. ↔

    Check the idea

    Try the same move on a related example and track the assumptions it needs.

The reusable lesson is how to choose a method and justify it. Educational · work in progress.

The arcsine-weight study pairs its Beta-integral substitution with a lens-shaped contour view.
The arcsine-weight study pairs its Beta-integral substitution with a lens-shaped contour view.
Integral problem library with technique search, difficulty and mathematical-family filters.
Integral problem library with technique search, difficulty and mathematical-family filters.
A Joukowski contour with its mapping identity and boundary integral contributions.
A Joukowski contour with its mapping identity and boundary integral contributions.