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Calculus/double integral

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Expert: Alon Mandes - 5/3/2010


Question
Let R1 denote the rectangle [0, 5] × [–4, 4], R2 the rectangle [0, 5] × [0, 4], and R3 the rectangle [–5, 0] × [–4, 0].
Suppose that the ∫∫R2 f(x,y)dA = 10 and that ∫∫R3 f(x,y)dA = 24 and that f(–x,y) = –f(x,y) for all (x,y).
Evaluate ∫∫R1 f(x,y)dA.

Totally stuck on this one! Any help gratefully received! thanks.

Answer
∫∫ f(x,y)dA = ∫∫ f(x,y)dA + ∫∫ f(x,y)dA = ∫∫ f(x,y)dA - ∫∫ f(x,y)dA = ∫∫ f(x,y)dA + ∫∫ f(x,y)dA
R1            R2           -R3            R2            R3            R2            R3

=10+24=34

Alon.

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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