Grade 12 · Algebra & functions

Standard antiderivatives practice

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
Sample questions

Try 3 for free

Question 1easy

Evaluate: exdx\displaystyle\int e^x \, dx.

exdx=ex+C\int e^x \, dx = e^x + C.

Question 2easy

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

1xdx=lnx+C\int \dfrac{1}{x} \, dx = \ln|x| + C.

Question 3easy

Evaluate: sec2xdx\displaystyle\int \sec^2 x \, dx.

sec2xdx=tanx+C\int \sec^2 x \, dx = \tan x + C.

Drill it inside a game.

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