23-November-2021 Homework:

    Part I: Compute the following indefinite integrals (Hint: one can use partial fraction decomposition for rational functions). (You must give some necessary steps, and cannot directly write down the answer.)

    1. hw231121 - 图1%5E2(x%2B4)%5E2%7D%20dx#card=math&code=%5Cdisplaystyle%5Cint%20%5Cfrac%7Bx%5E2%7D%7B%28x%2B2%29%5E2%28x%2B4%29%5E2%7D%20dx)

    2. hw231121 - 图2(x%2B2)%5E2(x%2B3)%5E3%7D%20dx#card=math&code=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7B1%7D%7B%28x%2B1%29%28x%2B2%29%5E2%28x%2B3%29%5E3%7D%20dx)

    3. hw231121 - 图3%5E3%7D%20dx#card=math&code=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7B1%7D%7B%28x%5E2%2B9%29%5E3%7D%20dx)

    Part II: Openstax Calculus textbook (volume 1):

    Page 613, EXERCISES 5.7, Problems No. 397, 398, 399, 400, 423, 424, 425, 426.

    Please write down the problem numbering. You must follow the original instructions of the textbook.

    Email your homework to: yqfeng@stu.edu.cn with subject “hw231121”. You can submit a picture or a scanned copy. Due date: Friday 3-December, 23:59 (GMT+8).