BASIC SUBSTITUTION - is
used to eliminate one of the
variable by replacement
COMPLETING THE SQUARE - when we
do not see a possible substitution or
when we have quadratic function at
denominator
TRIGONOMETRIC IDENTITES - when we
have summation of two terms power to
two or when we have different angle
IMPROPER FRACTION - When degree of
numerator is less than degree of
denominator and using long division
method
SEPARATING FRACTIONS - is used
when the fraction can be separated
MULTIPLYING BY A FORM OF 1 - to put
the integral into a form that is easier
to integrate
ELIMINATING SQUARE ROOTS - When we
have functions in a square roots
INTEGRATIONBY PARTS- when the
integrand is a polynomial multiply by
trigonometric functions / exponential
/ logarithm
INTEGRATION OF RATIONAL
FUNCTIONS BY PARTIAL FRACTIONS -
when degree of numerator is less
than denominatorand when both
numerator and denominator are
polynomial functions
TRIGONOMETRIC INTEGRALS &
TRIGONOMETRIC SUBSTITUTION - to
replace variable of integration by a
trigonometric function
IMPROPER INTEGRALS - when one or
both limits of integration are infinity