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**4.5 Integration by Substitution**

Outside Function Derivative of Inside Function Inside Function

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Official Description Problem

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**4.5 Integration by Substitution**

Composite Function? Derivative of Inside Function? Substitution

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

We do not need change of variables!

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

GOTO (f)

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

You can change the bounds and keep everything in terms of u! Change of Variables

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**4.5 Integration by Substitution**

Change of Variables Differential of x?

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**4.5 Integration by Substitution**

Odd FCTN Even FCTN

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**4.5 Integration by Substitution**

Even or Odd??

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**4.5 Integration by Substitution**

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**4.5 Integration by Substitution**

WAY

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Taylor and Maclaurin Series Lesson 9.10. Convergent Power Series Form Consider representing f(x) by a power series For all x in open interval I Containing.

Taylor and Maclaurin Series Lesson 9.10. Convergent Power Series Form Consider representing f(x) by a power series For all x in open interval I Containing.

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