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You approach it and never arrive.

Asymptote is a free online calculus game: a calculus practice game for derivatives, limits and integrals, with typed answers and a live mode for class. Newest guide: Area Under a Curve: Definite Integrals & Practice Problems.

Guides with practice problems: Chain rule · U-substitution · Implicit differentiation · Integration by parts · Product rule · Quotient rule · Power rule · L'Hôpital's rule · Related rates · All guides →
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How close can you get?

Calculus, typed out by hand. No multiple choice, no hints, no partial credit, no mercy. Five minutes against the clock, as long as you like against a curve that keeps getting worse, or one graph a day to name.

Play Sprint5 min

Try one. No account.

d2
dxd​[4x​+x22​]

Exact form, in terms of x. Simplify where you can.

So far

players
936players
countries
94countries
problems solved
53,932problems solved

More than a worksheet with a timer

Challenge a friend

Send them your exact problems

Finish a Sprint, send the link. They get the same problems, the same five minutes, and no account to make. Then it’s you against them, side by side.

You

16

Your friend

14

Squiggles

Everything you play earns dx

Open packs, collect all 36 calculus creatures. Some are one in ten thousand. Your first five packs are free.

Not found yet
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What you get out of it

Bragging rights

A title almost nobody holds, a league you climb against real people, and a card of your run to post. Everyone can see who is ahead.

Real practice

Typed answers, no multiple choice, no partial credit. After every run you see what you missed, the right answer, and whether it was the maths or the typing.

Numbers on yourself

Levels, streaks, personal bests and the hardest problem you have ever solved. Proof you are getting better, not a feeling.

Leagues

Every Monday you are put in a group of ten. Whatever you solve that week is your score; the top of the group moves up, the bottom drops. Ten leagues, and nobody has reached the last one yet.

For teachers

A live calculus game for your class

Put a code on the projector. Students join on their phones with a nickname, no accounts. Race, Teams or Gold Rush on limits, derivatives or integrals, then see which problems the class missed.

Host a class gameHow it works

New guide every day

Area Under a Curve: Definite Integrals & Practice Problems

The formula, the steps, worked examples, and three to try right there.

All calculus guides

Play Divergeno timer
Play Curvedaily graph

No account needed to play. New here? Forgotten the rules?

In class

The whole room, one race

Your teacher puts a code on the screen and everyone plays at once: Race, Teams, or Gold Rush, where the leader is never safe. Podium at the end.

Got a code? playasymptote.com/join

  • See this week's leagues →

    Two ways to play

    Sprint

    5 minutes. Three strikes. One problem at a time. A strong student lands 12 to 15. Be honest about which one you are.

    Diverge

    No clock. The difficulty climbs every three problems and it does not stop, ever. Your score is the deepest one you actually solved.

    Titles

    Undefined, Continuous, Differentiable, Convergent, Asymptotic. Earned by going deep, and yours for good once you have one.

    The top of the ladder

    12

    people have reached Asymptotic: solving a difficulty 19 problem, climbing there in a single run on three strikes.

    Every level, badge, streak, title and league place is earned by playing. None of them are for sale, and nobody can pay their way past you.

    990 of 1000 Founding Passes left

    Lifetime access, plus a badge nobody will ever be able to get again.

    See it

    Top levels

    all of it
    1. 1×[136×]blahdah✹⊤546,105XP
    2. 2[102×]Hunter_VIV✹408,964XP
    3. 3lim[100×]bccfcc✹⊤402,294XP
    4. 4lim[33+]Mathgineer✹⊤132,353XP
    5. 5[29+]Atiksh✹⇓116,378XP
    6. 6[28+]SergeyCs✹⊤112,515XP
    7. 7[23+]InfiniStar0331✹⊤95,300XP
    8. 8[17+]space618✹∫70,200XP

    Curve Sprint, all time

    all of it
    1. 1lim[100×]bccfcc✹⊤24named
    2. 2[23+]InfiniStar0331✹⊤15named
    3. 3[2+]craig3141◎≫13named
    4. 4[12+]12_eta✹⚑13named
    5. 5[28+]SergeyCs✹⊤13named

    Sprint, all time

    all of it
    1. 1lim[100×]bccfcc✹⊤69solved
    2. 2×[136×]blahdah✹⊤33solved
    3. 3[13+]cone✹⊤25solved
    4. 4[16+]Vincent0705✹⋙25solved
    5. 5[12+]12_eta✹⚑25solved