Can i get more calculus help? 10 points
Favorites|Homepage
Subscriptions | sitemap
HOME > > Can i get more calculus help? 10 points

Can i get more calculus help? 10 points

[From: ] [author: ] [Date: 12-06-01] [Hit: ]
......
find the volume of the solid formed by revolving the region in quadrant 1 bounded by the y=(16-x^2)^1/2
the axais and the y axis about the y aixis

evaluate
S2xcosx dx

-
V = ∫ πx² dy
y = √(16 - x²) <==> x² = 16 - y²
y(0) = 4


V = ∫ πx² dy
V = ∫ π(16 - y²) dy = 16π - ⅓ y³ from y = 0 to y = 4
V = 128π / 3
----------------

∫ 2xCosx dx
use ∫udv = uv - ∫vdu

u = 2x, <==> du = 2 dx
dv = Cosx, <==> v = Sinx

∫udv = uv - ∫vdu
∫2xCosx dx
= 2xSinx - ∫2Sinx dx
= 2xSinx + 2Cosx + C
= 2 (xSinx + Cosx) + C
1
keywords: help,more,Can,points,10,get,calculus,Can i get more calculus help? 10 points
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .