STRATEGY OF INTEGRATION

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calculus
intan_syahirah97
Mind Map by intan_syahirah97, updated more than 1 year ago
intan_syahirah97
Created by intan_syahirah97 about 8 years ago
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STRATEGY OF INTEGRATION
  1. BASIC SUBSTITUTION - is used to eliminate one of the variable by replacement
    1. COMPLETING THE SQUARE - when we do not see a possible substitution or when we have quadratic function at denominator
      1. TRIGONOMETRIC IDENTITES - when we have summation of two terms power to two or when we have different angle
        1. IMPROPER FRACTION - When degree of numerator is less than degree of denominator and using long division method
          1. SEPARATING FRACTIONS - is used when the fraction can be separated
            1. MULTIPLYING BY A FORM OF 1 - to put the integral into a form that is easier to integrate
              1. ELIMINATING SQUARE ROOTS - When we have functions in a square roots
                1. INTEGRATIONBY PARTS- when the integrand is a polynomial multiply by trigonometric functions / exponential / logarithm
                  1. INTEGRATION OF RATIONAL FUNCTIONS BY PARTIAL FRACTIONS - when degree of numerator is less than denominatorand when both numerator and denominator are polynomial functions
                    1. TRIGONOMETRIC INTEGRALS & TRIGONOMETRIC SUBSTITUTION - to replace variable of integration by a trigonometric function
                      1. IMPROPER INTEGRALS - when one or both limits of integration are infinity
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