Sub-Concept Explorer

Engine for deep topics — detect needed micro-concepts and suggest short videos that unlock the whole concept.

Intelligence Widget · Micro-concept engine

Learn the whole topic by unlocking the right sub-concepts

When a chapter is deep, dozens of micro-concepts hide inside. The explorer ranks what you truly need and suggests small videos for each — so the full concept finally clicks.

4

Topics

4

Must-watch

0/6

Watched

Engine result

Whole-topic goal: Solve mixed indefinite/definite integrals under exam timing.

Suggested watch path

Critical micro-videos first — these are the ones really needed before the whole concept sticks.

  1. 1

    u-Substitution

    Micro: Spot the inner function in 60s

    Must watch
  2. 2

    Integration by Parts

    Micro: LIATE pick + one worked twin

    Must watch
  3. 3

    Partial Fractions

    Micro: Linear & quadratic factor split

    Highly needed
  4. 4

    Trigonometric Integrals

    Micro: Odd/even power decision tree

    Highly needed
  5. 5

    Definite Integral Properties

    Micro: f(a−x) and king property

    Helpful
  6. 6

    Area under Curves

    Micro: Sketch → limits → integrate

    Helpful

Why the engine ranked this

  • Bottlenecks first: Micro-concepts that unlock many others score highest.
  • Exam-critical cues: Items that commonly break full-topic questions are tagged Must watch.
  • Small videos only: ~1–2 min micro lessons — enough to fill the gap, then return to the whole chapter.
  • Coverage: 0/6 micro-videos completed for this topic.

Suggested micro-videos for Integration Techniques

u-Substitution

Micro: Spot the inner function in 60s

Most composite integrals collapse only after a correct substitution choice.

Need score 96 · mastery 62%

Integration by Parts

Micro: LIATE pick + one worked twin

Required when product of unlike functions appears (x·ln x, x·e^x).

Need score 94 · mastery 45%

Partial Fractions

Micro: Linear & quadratic factor split

Rational functions in JEE/Board papers often need decomposition first.

Need score 88 · mastery 78%

Trigonometric Integrals

Micro: Odd/even power decision tree

Powers of sin/cos need identities — a frequent exam trap micro-skill.

Need score 85 · mastery 58%

Definite Integral Properties

Micro: f(a−x) and king property

Saves time; whole-topic speed depends on property shortcuts.

Need score 80 · mastery 70%

Area under Curves

Micro: Sketch → limits → integrate

Application layer — only after core techniques are stable.

Need score 72 · mastery 55%