MATH 125 Final: MATH 125 UWashington Quiz125FinalW16

• School: UW
• Department: Mathematics
• Course: MATH 125
• Professor: All

Document Summary

Ta"s name: turn off all cell phones, pagers, radios, mp3 players, and other similar devices, this exam is closed book. You may use one 8. 5 11 sheet of handwritten notes (both sides ok). Please make sure that your exam is complete. Page 1 of 10: evaluate the following inde nite integrals. (a) (5 points) z sin(x)pcos(x) dx (b) (5 points) z p3 2x x2 dx. Page 2 of 10: evaluate the following de nite integrals. (a) (5 points) z . 1 x x2 + 2x + 10 dx. Page 3 of 10: (10 points) consider the region in the xy-plane formed by a rectangle of height 4 and width 3 and a half-disk of radius 2 centered at (3, 0), as shown in the gure. Compute x, the x-component of the centroid of the region. 4. (a) (5 points) does the improper integral z 2. If yes, to what? (b) (5 points) does the improper integral z .