integration by substitution n.
Skip this Video
Loading SlideShow in 5 Seconds..
Integration by Substitution PowerPoint Presentation
Download Presentation
Integration by Substitution

Loading in 2 Seconds...

  share
play fullscreen
1 / 7
Download Presentation

Integration by Substitution - PowerPoint PPT Presentation

mahola
376 Views
Download Presentation

Integration by Substitution

- - - - - - - - - - - - - - - - - - - - - - - - - - - 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