# Daily Integral

> A new calculus puzzle every day. Solve Easy, Medium, or Hard integrals with full step-by-step solutions, plus daily logic, physics, and LilyPath challenges. Built by two Sydney founders, used in 190+ countries.

Daily Integral is a daily-puzzle platform for people who choose maths. Every day at midnight Sydney time (AEST), new problems unlock across Integrals, Derivatives, Limits, Logic, LilyPath, and Engineering (Mechanics, Quantum, Electric). Every puzzle ships with a full worked solution. The site also includes Modulo (an AI-assisted LaTeX document editor), Locus (an AI maths tutor), and a Calculator suite.

For long-form context, see /llms-full.txt.

## Daily puzzles
- [Daily Integral (Beginner)](https://dailyintegral.com/play/beginner): Gentle warm-up integration problem for newcomers.
- [Daily Integral (Easy)](https://dailyintegral.com/play/easy): Standard substitution and integration-by-parts practice.
- [Daily Integral (Medium)](https://dailyintegral.com/play/medium): Multi-step integrals requiring strategy selection.
- [Daily Integral (Hard)](https://dailyintegral.com/play/hard): Competition-level integrals with clever tricks.
- [Daily Derivative (Easy)](https://dailyintegral.com/play/derivatives/easy): Chain, product, and quotient rule drills.
- [Daily Derivative (Medium)](https://dailyintegral.com/play/derivatives/medium): Implicit, logarithmic, and higher-order derivatives.
- [Daily Derivative (Hard)](https://dailyintegral.com/play/derivatives/hard): Challenging differentiation puzzles.
- [Daily Limit](https://dailyintegral.com/play/limits): A new limit problem each day, indeterminate forms and L'Hopital practice.
- [Daily Logic](https://dailyintegral.com/play/logic): Deductive reasoning and lateral-thinking puzzles.
- [Daily Mechanics](https://dailyintegral.com/play/mechanics): Newtonian mechanics challenges (forces, kinematics, energy).
- [Daily Quantum](https://dailyintegral.com/play/quantum): Waves, light, and modern physics problems.
- [Daily Electric](https://dailyintegral.com/play/electric): Circuits and electromagnetism problems.
- [LilyPath (Easy)](https://dailyintegral.com/play/lilypath/easy): Guide a frog across lilypads using vector tiles.
- [LilyPath (Medium)](https://dailyintegral.com/play/lilypath/medium): Larger pond with trickier tile arrangements.
- [LilyPath (Hard)](https://dailyintegral.com/play/lilypath/hard): Expert routing puzzles.

## Tools
- [Modulo](https://dailyintegral.com/modulo): AI-assisted LaTeX document editor with collaboration.
- [Locus](https://dailyintegral.com/locus): AI maths tutor with full step-by-step solving via a SymPy compute engine.
- [Calculator hub](https://dailyintegral.com/calculator): Index of every Daily Integral calculator.
- [Integral calculator](https://dailyintegral.com/calculator/integral-calculator): Definite and indefinite integration with worked steps.
- [Derivative calculator](https://dailyintegral.com/calculator/derivative-calculator): Symbolic differentiation with worked steps.
- [Limit calculator](https://dailyintegral.com/calculator/limit-calculator): One-sided and two-sided limits.
- [Algebra calculator](https://dailyintegral.com/calculator/algebra-calculator): Solve, simplify, and rearrange algebraic expressions.
- [Simplify calculator](https://dailyintegral.com/calculator/simplify-calculator): Reduce expressions to canonical form.
- [Expand calculator](https://dailyintegral.com/calculator/expand-calculator): Expand products, powers, and polynomials.

## Hubs
- [Homepage](https://dailyintegral.com/): Today's puzzles and entry points to every mode.
- [Archive](https://dailyintegral.com/archive): Browse and replay every past daily problem.
- [Pricing](https://dailyintegral.com/pricing): Plus, Premium, and Ultra subscription tiers.
- [About Us](https://dailyintegral.com/about-us): Founders' story, mission, and timeline.

## Optional
- [Careers](https://dailyintegral.com/careers): Current open roles at Daily Integral.
- [Daily Calculus hub](https://dailyintegral.com/daily-calculus): Calculus daily modes grouped together.
- [Daily Engineering hub](https://dailyintegral.com/daily-engineering): Mechanics, Quantum, Electric grouped together.
- [Daily Logic hub](https://dailyintegral.com/daily-logic-games): Logic-style daily games grouped.
- [Daily Brain Games hub](https://dailyintegral.com/daily-brain-games): All non-calculus daily games.
- [LilyPath hub](https://dailyintegral.com/lilypath): LilyPath landing page with rules and difficulty picker.
- [Full knowledge file](https://dailyintegral.com/llms-full.txt): Long-form, single-file knowledge dump for AI assistants.