Integration Techniques

Integration Techniques

1. Integration through Substitution

   • 1) Locate the exponent. 2) Substitute the parenthesis for "u". 3) Derivative "u" and solve for dx. 4) Replace dx in the equation. 5) Cancel if you have to. 6) Integrate the equation and "u". 7) Replace "u" for its value.
     • Example

2. Integration of Trigonometric Functions

   • Integration of Trigonometric Functions with higher powers
     • To solve, only one way is possible (it is necessary to choose one and try to solve) :
   • Trigonometric Identities
   • Algebraic manipulation

3. Integration of Logarithms

   • Formula :
   • Use "u" in the denominator, to cancel the numerator and solve.

4. Integration of Exponential Functions

   • Integration of Exponential Functions different from "e"
     • Formula:
     • Where "a" is a constant
       • Substitute exponent by "u" and solve.
   • Formula:
   • Substitute exponent by "u" and solve.

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