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Here is where I keep my piles of extra practice problems, being gathered over time for my calculus students. If you are in need of extra practice (as most of us are) in your general calculus topics, this just might be for you. For those problems that don't have answers, please refer to WolframAlpha. For example, you can ask it to solve things like "d/dx ln(x)", or "int 1/(x^2 + 1) dx", or "lim x to 0, e^x/x".

Trigonmetric functions

Fun with trig functions.

Limits:

Existence of limits.
Evaluating limits when x -> 0
Evaluating limits when x -> a
Evaluating limits when x -> infinity
Evaluating limits with trigonometric functions

Functions and their graphs

Where is a function continuous?
Properties of graphs
Basic graphs
Graphing polynomials

Derivatives and integrals

Derivatives, implicit differentiation, and basic differential equations
Tangent lines
More derivatives and some u-sub integrals
Basic integrals and u-sub (hints and answers)
Integrals possibly requiring integration by parts, trigonometric substitution, and partial fractions decomposition (hints)
More assorted integrals, and a strategy for integration

 

 

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Thanks to Arun Ram for the compilation of many of these problems.