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Registration Deadline February 27, 2026!
What type of problems/topics are going to show up?
Competitors should expect problems based on standard integration techniques from a typical Calculus I–II (AP Calculus AB/BC) curriculum. Some more challenging problems may appear, especially toward the end of the competition, which may extend slightly beyond the standard material.
Integration Techniques & Problem Types
Problem/topic types include, but are not limited to, the following:
Basic Antiderivatives
U-Substitution (Basic Substitution)
Integration by Parts (IBP)
Tabular / Repeated IBP
Trigonometric Integrals
Trigonometric Substitution
Partial Fractions Decomposition
Integration Using Special Algebraic Manipulations
Infinite / Nested Expressions
Improper Integrals
Advanced / Creative Substitutions
Other Integration Techniques (These will not make up the majority of problems):
Piecewise or special-function integrals (floor, ceiling, max/min functions)
Series-based approaches (Taylor or Maclaurin expansions)
Symmetry and transformation methods (even/odd functions, variable shifts, King’s/Queen’s Rule, invariance, etc.)
Hyperbolic functions (rare; may not appear in the actual competition)
Additional Topics and Techniques to Review (Outside of direct integration):
Trigonometric identities (power-reduction, double-angle, inverse functions, trig substitution, etc.)
Algebraic methods (polynomial long division, factoring, completing the square)
Quick mental math and pattern recognition
Sample Problems
Qualifying Examination Questions PDF (Released)
2026_Integration_Bee_Qualifying_Examination (1) (1).pdfQualifying Examination Answers and Explanations PDF (Released)
2026_Integration_Bee_Qualifying_Examination_Answer_Key (2) (1).pdfPage updated
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