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.
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