Integration Techniques

Methods Everyone Should Know

Here is a checklist of integration methods you can use to win the Integration Bee:

Basic techniques:

Integrals of powers and of trigonometric functions.
Substitution.
Integration by parts.
Partial fraction decomposition.
Trigonometric substitutions.

Tricky stuff:

Integrals of powers of trigonometric functions.
Integrals of hyperbolic functions.
Completing the square.
Elimination of radicals by substitution.
Substituting the tangent of a half-angle.

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