Strategy for Integration

Strategy for Integration

1. Separating Fractions

   • Use this if the fraction can be separated and will result to a simpler intergrand

2. Integration By Parts

3. Basic Substitution

   • Indefinite Integral
   • Definite Integral
   • Natural Logarithm
   • Exponentiol Function
   • The general Exponentiol Function
   • Inverse Trigonometric Functions
   • Hyperbolic Functions
   • Inverse Hyperbolic Functions

4. Multiplying By A Form Of 1

   • This technique is used to mutiply the expression (the integrand) by some term divided by itself (which is the same thing as multiplying by a form of 1) in an effort to simplify expression (the integrand) to a expression that can be integrated

5. Completing The Square

   • Use when no substitution available
   • Use when we have quadratic function at denominator
     • Quadratic function cannot be factorize
     • Quadratic function is in the square root

6. Integration Of Rotational Functions by Partial Fractions

7. Improper Integrals

8. Eliminating Square Roots

   • Use when we have a trigonometric function in the square root
   • Use when the trigonometric functions can be simplified (by using trigonometric identities) to a squared trigonometric form so that the square root can be eliminated

9. Trigonometric Integrals and Trigonometric Substitutions

10. Improper Fractions

    • Use when we have improper fraction (degree of numerator greater and equal to degree at denominator

11. Trigonometric Identities

12. Table Of Integration Formulas

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