Category
Calculus
Limits, derivatives, integrals, and the estimates in between.
Calculus measures change and accumulation, and competition problems use it more sparingly, and more sharply, than a coursework set does.
These cover limits, differentiation and its applications, definite and indefinite integrals, and series. Many can be shortened dramatically by a symmetry or a substitution spotted early — the brute-force route usually works too, just slowly.
Latest problems
47 problems
Evaluating an Infinite Series with Roots
1667
13
Extracting a Bernoulli Number
1717
26
Higher-Order Derivative of a Product at a Point
1313
21
Inverse Laplace Transform of a Rational Function
1450
23
Limit of a Function Defined by a Limit
1633
15
Limit of a Series Ratio
1500
14
Line Integral Along an Elliptical Arc
1333
12
Maximum Rate of Change of a Multivariable Function
1277
15
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