Calculus II Sprint: Integrals and Series: Integrals Game for Grades 11‑college

Run laps of antiderivatives, substitution, areas, volumes, improper integrals and series.

A Calculus II practice sprint for college students and advanced high school students. Freshly generated questions cover antiderivatives, definite integrals, u-substitution, integration by parts, trig integrals, area between curves, volumes by disks, improper integrals, average value, geometric and finite series, convergence of series, Maclaurin coefficients and radius of convergence. Choose Integration Basics, Calculus II or Honors, play timed (pace bar, three lives) or untimed (12 questions, no clock), and read a worked explanation after every miss. All questions are original and every answer is checked in code; not affiliated with or endorsed by any testing organization.

Play Calculus II Sprint: Integrals and Series

Free. No signup. About 8 minutes per round.

Artwork for the math game Calculus II Sprint: Integrals and Series
Grade 11 Grade 12 College integrals antiderivatives u-substitution integration by parts area between curves volumes of revolution improper integrals infinite series geometric series Taylor series radius of convergence calculus

Practice questions are original. SAT, ACT and other test names belong to their owners; MathSchools is not affiliated with or endorsed by them.

What you practise

Calculus II Sprint: Integrals and Series gives students repeated, low-pressure practice with integrals, antiderivatives, u-substitution, integration by parts, area between curves, volumes of revolution, improper integrals, infinite series, geometric series, Taylor series, radius of convergence, and calculus. It is written for grades 11-college, with levels that let younger and older players start at the right difficulty. Every question is generated fresh, so a replay is never the same, and a wrong answer shows the correct one so the round teaches as well as tests.

How it plays

Controls: Pick Timed or Untimed, then a level. Tap an answer or press 1-4. On a type-in question, type a whole number, a fraction like 29/3 or a decimal and press Enter. After a miss, press Enter or the Next button. P or Esc pauses (timed), M mutes.

It works with a keyboard, a trackpad or a touch screen, so it runs on school Chromebooks, tablets and phones.

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