Unformatted text preview: or r ( x ) = 1(2) = 3. The area of a slice is A ( x ) = πR ( x ) 2πr ( x ) 2 = π ( x 2 + 2) 2π (3) 2 . (b) Find the limits of integration. The washers run from the xcoordinate of the intersection of y = x 2 with y = 1 in the ﬁrst quadrant, so from x = 1, to x = 4. (c) Find the volume of the region. The volume V is given by V = π Z 4 1 ( x 2 + 2) 29 dx = π x 5 54 x 3 35 x ! ± ± ± ± 4 1 = 1368 π 5 ....
View
Full Document
 Fall '10
 KIHYUNHYUN
 Calculus, Rotation, Region, Euclidean geometry

Click to edit the document details