MTH 252H Midterm: MTH 252H - Term Test 2

• School: Oregon State University
• Department: Mathematics
• Course: MTH 252H
• Professor: All

Document Summary

Note: it is helpful to interpret the area formula: f(x)-g(x) is the length of a rectangle and, dx is its width. We sum (integrate) the areas of the rectangles (f(x)-g(x)) dx to obtain the area of the region. The formula for finding the area bounded by a region is derived from the limit of a riemann sums. As the (cid:374)u(cid:373)(cid:271)e(cid:396) of g(cid:396)id poi(cid:374)ts i(cid:374)(cid:272)(cid:396)eases, x approaches zero and these sums approach the area between the curves. This is also equivalent to the given formula above which can be modify depending on the axis (x-axis or y-axis) used to set-up the integral. Find the area of the region bounded by (cid:1877)=(cid:1876) and (cid:1877)= (cid:1876)(cid:2870) (cid:884). First step is to find the intersection of these graphs. We will use those points in choosing our boundaries. There are two methods that we can use to find those points: graphical method or algebraic method.