1 / 10

Integration by Substitution

Integration by Substitution. Objectives. Students will be able to Calculate an indefinite integral requiring the method of substitution. Integration by Substitution . Please note that g is continuous and differentiable and f ( u ) is continuous at all points u in the range of g .

kedma
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

  2. Objectives Students will be able to • Calculate an indefinite integral requiring the method of substitution.

  3. Integration by Substitution Please note that g is continuous and differentiable and f(u) is continuous at all points u in the range of g.

  4. Example 1 Evaluate the indefinite integral

  5. Example 2 Evaluate the indefinite integral

  6. Example 3 Evaluate the indefinite integral

  7. Example 4 Evaluate the indefinite integral

  8. Example 5 Evaluate the indefinite integral

  9. Example 6 Evaluate the indefinite integral

  10. Example 7 The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the function a. Find the total revenue function if the revenue from 115 gadgets is $45,581. b. How many gadgets must be sold for a revenue of at least $45,000?

More Related