1 / 7

Integration by Substitution

Integration by Substitution. If you cannot see the answer for integral by inspection, then the method of substitution is deployed. Example 1. Make dx the subject. Replace 2 x – 1 by u and write dx in terms of du. This was an easy question, you could have done it by inspection.

mahola
Télécharger la présentation

Integration by Substitution

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Integration by Substitution If you cannot see the answer for integral by inspection, then the method of substitution is deployed. Example 1 Make dx the subject Replace 2x – 1 by u and write dx in terms of du This was an easy question, you could have done it by inspection.

  2. Integration by substitution Example 2 Use the substitution u = sin x Make dx the subject This was also an easy question, you could have done it by inspection.

  3. Integration by substitution Integrals which are not so obvious. Example 3 Use the substitution u = x - 4 However, this integral can be found by using partial fractions.

  4. Integration by substitution Substitute x = u2 Example 4

  5. Integration by substitution Example 5 Substitute u2 = x + 1

  6. Integration by substitution Example 6 Substitute x = (u – 4)/3

  7. Integration by substitution Substitute x = 2sin u Example 7

More Related