Standard antiderivatives. Game on.

Standard antiderivatives is a grade 12 math skill: recall and apply standard antiderivatives to evaluate basic integrals. Below are 3 practice questions with answers and step-by-step explanations, drawn from the 5 standard antiderivatives problems our math games drill.

5 questions in the bank
Kickoff

3 plays. No signup.

Warm-upeasy

Evaluate: ∫ex dx\displaystyle\int e^x \, dx.

∫ex dx=ex+C\int e^x \, dx = e^x + C.

Mid-gameeasy

Evaluate: ∫1x dx\displaystyle\int \dfrac{1}{x} \, dx.

∫1x dx=ln⁡∣x∣+C\int \dfrac{1}{x} \, dx = \ln|x| + C.

Buzzer beatereasy

Evaluate: ∫sec⁡2x dx\displaystyle\int \sec^2 x \, dx.

∫sec⁡2x dx=tan⁡x+C\int \sec^2 x \, dx = \tan x + C.

Overtime

2 more. Played, not assigned.

The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.

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More Grade 12 skills
Special limitsStandard derivativesPolar and rectangular conversionMaclaurin seriesTrig identitiesInverse trig domain and rangeDegree-radian conversionConvergence testsAll Grade 12 practice →

Drill it inside a game.

The free placement test finds your level, then every match serves standard antiderivatives questions at exactly the right difficulty.