Double Integral

Thread Starter

susi

Joined Jun 4, 2004
31
Hello , I am facing lil problem in solving this:
If anyone help , it would be great..Well the problem is abt
evaluating double integral.

Q: Evaluate:

∫ ∫ [xy/ √ (x^2+y^2+1)]dA


over the rectangle R=(x,y):0 ≤ x ≤ 2,0 ≤ y ≤ 2
also draw the double integral is independent of order of integration.
 

haditya

Joined Jan 19, 2004
220
lets integrate 1st wrt to x

2 2
∫ ∫ xy dx dy/ √ (x^2+y^2+1)
0 0

put x^2+y^2+1=t

2 y^2+1
0.5 ∫ ∫ dt ydy/ √ t
0 y^2+5


then its quite easy to solve
the terms are seperable

i d hav typed it buts kinda difficult to type these integrals
 
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