6.1 & 6.4 an overview of the area problem area
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Evaluating Definite Integrals by Substitution
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Transcript of 6.1 & 6.4 an overview of the area problem area
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Evaluating Definite Integrals by Substitution
![Page 2: 6.1 & 6.4 an overview of the area problem area](https://reader035.fdocuments.in/reader035/viewer/2022081519/558960bfd8b42a4d718b4707/html5/thumbnails/2.jpg)
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](https://reader035.fdocuments.in/reader035/viewer/2022081519/558960bfd8b42a4d718b4707/html5/thumbnails/3.jpg)
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](https://reader035.fdocuments.in/reader035/viewer/2022081519/558960bfd8b42a4d718b4707/html5/thumbnails/4.jpg)
How about recalculating limits of
integration?1/2 2 I I
![Page 5: 6.1 & 6.4 an overview of the area problem area](https://reader035.fdocuments.in/reader035/viewer/2022081519/558960bfd8b42a4d718b4707/html5/thumbnails/5.jpg)
Practice Time!!!
![Page 6: 6.1 & 6.4 an overview of the area problem area](https://reader035.fdocuments.in/reader035/viewer/2022081519/558960bfd8b42a4d718b4707/html5/thumbnails/6.jpg)
More!!!