INTEGRATION - created from Mind Map

Page 1

STEP 1:SIMPLIFY

STEP 2: SIMPLE SUBSTITUTION

STEP 3:SIMPLE SUBSTITUTION DO NOT WORK

STEP 4: TRY AGAIN !

TRIGO IDENTITY

HYPERBOLIC IDENTITY

SEPARATING FRACTION

MULTIPLY BY A FORM OF 1

ELIMINATING SQUARE ROOT

TRIGO INTEGRAL

High power of sinx and cos x

reduction formula

FIND U

dU/dx

substitute

quadratic function at denominator

cannot factorize

ʃ ( _ +_ )² dx

different angle

numerator >denominator

Polynomial x trigo func/ exponential/logarithm

numerator not differential coefficient of the denominator

TYPE 1: INFINITE LIMITS OF INTEGRATION

TYPE 2 : INTEGRAND BECOME INFINITE

COMPLETING THE SQUARE

TRIGONO IDENTITIES

IMPROPER FRACTION

INTEGRATION BY PARTS

PARTIAL FRACTION

TRIGONOMETRIC SUBSTITUTION

IMPROPER INTEGRAL

if the erlier technique does not work