1 / 5

Integral Calculus Techniques and Applications Test

This test focuses on integral calculus techniques and applications, including finding slopes, locating tangents, integrating by parts and using trigonometric identities and substitutions. It also covers volume calculations using different methods and calculating arc length along a curve.

jmarino
Download Presentation

Integral Calculus Techniques and Applications Test

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. y x University of MemphisDept Mathematical SciencesHonors Mathematics IISpring 2012Dwiggins TEST # 2 Techniques and Applicationsof Integral Calculus Give the values of the slope at the point where the curve crosses itself.

  2. Honors Math II Test # 2 page two The above graph should have two vertical tangents, three horizontal tangents, and a cusp. Use whatever method you choose to find the location of the horizontal tangents.

  3. Honors Math II Test # 2 page three # 3. (a) Integrate by Parts: (i) (ii) (iii) (b) Use Tabular Integration: (v) (iv)

  4. (i) (ii) (iv) (v) Honors Math II Test # 2 page four # 4. Find antiderivatives for each of the following: (a) Use trig identities: (iii) (b) Use trig substitutions:

  5. Honors Math II Test # 2 page five # 5. Let D be the plane region bounded by the x-axis, the graph y = x3/2, and the line x = 4. (a) Use the disc method to calculate the volume obtained when D is revolved about the x-axis. (b) Use the shell method to calculate the same volume as in part (a). (c) Use any method to calculate the volume obtained when D is revolved about the y-axis. (d) Calculate the arclength along the curve C: x = 1 + 3t2 , y = 4 + 2t3 , 0 <t< 1.

More Related