Shared across all four courses, the applications of integration extend beyond finding areas under curves to a range of practical contexts. Students calculate areas enclosed between curves and the x-axis where f(x) may be positive or negative, and areas between two curves. In AA HL and AI HL, volumes of revolution about the x- and y-axes are also addressed. In AI SL, the trapezoidal rule provides a numerical alternative for estimating areas when an exact analytic result is not available.
Start here
Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.
Video lessons
Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.
Take the mock exams
It’s time to put your knowledge to the test with our mock exams — the closest experience you’ll get to the real IB Math exams. Note: read the instructions on taking mock exams here.
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