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Evaluating Definite Integrals by Substitution

6.1 & 6.4 an overview of the area problem area

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Page 1: 6.1 & 6.4 an overview of the area problem area

Evaluating Definite Integrals by Substitution

Page 2: 6.1 & 6.4 an overview of the area problem area

Two Methods for Making Substitutions in Definite

Integrals

• “Conveniently” ignore the limits of integration and revisit them at the end of the process.

• Recalculate the limits in the very beginning so you don’t have to revisit them at the end.

Page 3: 6.1 & 6.4 an overview of the area problem area

1/2 2 I I

Let’s see how does that works without

recalculating limits of integration.

Page 4: 6.1 & 6.4 an overview of the area problem area

How about recalculating limits of

integration?1/2 2 I I

Page 5: 6.1 & 6.4 an overview of the area problem area

Practice Time!!!

Page 6: 6.1 & 6.4 an overview of the area problem area

More!!!