MATH 41 Final: MATH 41 Stanford 09Finalsol

• School: Stanford University
• Department: MATH - Mathematics
• Course: MATH 41
• Professor: All

Document Summary

Directions: complete all of the following to the best of your ability. If you do not understand a question, please let me know; i may be able to assist you. You will be graded primarily on the method you use, not your nal answer. Each question is broken up across two pages. You can use any space to answer any part. Be sure to label your work so it can be graded appropriately: the following questions have to do with the integral z . 1 ln(x) x3 dx (a) evaluate z ln(x) x3 dx (b) suppose your answer from part (a) is. Explain how to use this answer to understand if the integral z . 1 ln(x) x3 dx is convergent or divergent. ln x 4x. Use this idea along with the comparison test to determine if z ln(x) x3 dx is convergent or a divergent. Remember, your answer must include sentences: consider the following integral.