STRATEGY OF INTEGRATION

STRATEGY OF INTEGRATION

1. BASIC SUBSTITUTION - is used to eliminate one of the variable by replacement

2. COMPLETING THE SQUARE - when we do not see a possible substitution or when we have quadratic function at denominator

3. TRIGONOMETRIC IDENTITES - when we have summation of two terms power to two or when we have different angle

4. IMPROPER FRACTION - When degree of numerator is less than degree of denominator and using long division method

5. SEPARATING FRACTIONS - is used when the fraction can be separated

6. MULTIPLYING BY A FORM OF 1 - to put the integral into a form that is easier to integrate

7. ELIMINATING SQUARE ROOTS - When we have functions in a square roots

8. INTEGRATIONBY PARTS- when the integrand is a polynomial multiply by trigonometric functions / exponential / logarithm

9. INTEGRATION OF RATIONAL FUNCTIONS BY PARTIAL FRACTIONS - when degree of numerator is less than denominatorand when both numerator and denominator are polynomial functions

10. TRIGONOMETRIC INTEGRALS & TRIGONOMETRIC SUBSTITUTION - to replace variable of integration by a trigonometric function

11. IMPROPER INTEGRALS - when one or both limits of integration are infinity