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21.2 Integration Map

Integration using Fundamental Theorem

Polynomials, inverse powers, exponents, trigonometric functions.

Integration by Parts

Logs, trig functions times polynomials, exponents times polynomials, powers of secant.

Trigonometric Formulae Reductions

Polynomials in trigonometric functions.

Inverse Trigonometric Substitutions

Completing the Square

Partial Fractions

All rational functions.

The Substitution z = tan(x/2)

Rational functions in sinx, cosx