4.5 Integration by Substitution

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Presentation transcript:

4.5 Integration by Substitution Outside Function Derivative of Inside Function Inside Function

Official Description Problem

4.5 Integration by Substitution Composite Function? Derivative of Inside Function? Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution We do not need change of variables!

4.5 Integration by Substitution

4.5 Integration by Substitution GOTO (f)

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution

4.5 Integration by Substitution You can change the bounds and keep everything in terms of u! Change of Variables

4.5 Integration by Substitution Change of Variables Differential of x?

4.5 Integration by Substitution Odd FCTN Even FCTN

4.5 Integration by Substitution Even or Odd??

4.5 Integration by Substitution

4.5 Integration by Substitution WAY