if the quest is like this:
Show that double integral over R ( r2 sin(theta)) dr d(theta), where R is the region bounded by the semicircle r=2acos(theta), ABOVE THE INITIAL LINE...
? theta varies from...?
finally after 1st integration I got the value as
integral of___ to ___...
Homework Equations
integral 0 to pi/2 ((cos^n)x dx),
integral 0 to pi/2 ((sin^m)x dx),
integral 0 to pi/2 ((sin^m)x * (cos^n)x dx),
condition: when m,n odd; m,n even , m even n odd n so on...
The Attempt at a Solution
ans hints:
(m-1)/(m+n) * (m-3)/(m+n-2) ....
sorry but thanks for letting me know...I was in a hurry and i...am.
thts why I didnt try explain my soln...
from my next doubt onwards i'll b trying to follow the writing rules of this forum...
Thanks Again
ag:smile:
9) evaluate teriple integral over V, fn=> xy dx dy dz, where V is the solid tetrahedron with vertices(0,0,0),(1,0,0),(0,2,0) and (0,0,3)
10) evaluate triple integral over V fn>x dx dy dz, where V is the paraboloid x=4(y^2)+4(z^2) and the plane x=4...
Can I please have the figures...
5)what about a question given to find the volume of a hyperboloid?
please try to illustrate it with examples...
6)semicircle over an initial line's theta varies from ____ to _____?
7) what about a paraboloid??
8)triple integral over B fn=>xy(z2) dx dy dz where B is the rectangular box...
next:
please teach me how to draw a parabola if its eqn is given as:
...y2=2x+6
...x2=y+1
if u can't tell me in detail...please just try to give it just in 2-3 lines...Once i knew well to draw all these...but now i can't recollect those...
Integrals-please check out...
Q
1)double integral over[ (0 to a/sq.root 2),(y to sq.root of (a2-y2)] fn->log(x2+y2)dxdy &a>0
2)int (0to pi/2) d(theta) int(0 to a sin theta) dr int(0 to (a2-r2)/a) r dz
3)evaluate triple integral over V funtion=> z dx dy dz, where V is the solid...