Question

1. (10 points) Determine whether the following improper integral is convergent or not 1+e- 270 s EXTRA CREDIT (2 points) Possibly drawing a picture, give a GEOMETRICAL INTERPRETATION of the improper integral above.

Answer 1

4 0% 1. 1 + % ร dre 2 3 % ง | ว Lodreu * * -C e 2 3 4 da 2. น 1 1 1, 4 12 (499)

dne Now , I = 2 sa z lim RAW Sh.ch [11.2001 1 lim Roya 21 43 R 드 a - lim > مااع Roo

Now, en f dre. In = 2. 3100 L -U & hore for . all 0 221 L 23134 Then , I, 20. 드 Therefore, I= 1,-1,- Hence, the above improper integral consergent, is not