MATH 127 Fall 2012
Practice Assignment (NOT FOR SUBMISSION)
Topics: Integration, area between curves, volumes of revolution
1. Evaluate the following integrals
4x ▯ 9x 2
x ▯ 3x + 2
(b) (3x + 1) dx
e ln(x ) + 1
(d) ▯cos (x) dx
2. Find the area of the indicated region.
(a) The region in the ▯rst quadrant bounded above by y = x and y = ▯3x + 4 and
bounded below by the x-axis.
(b) The region bounded below by y = e , bounded above by y = 4e , and x ▯ 0.