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State Fubini's theorem.

Short Answer

Expert verified

Ans: Then Fubini's theorem states asRf(x,y)dA=cdabf(x,y)dxdy=abcdf(x,y)dydx

Step by step solution

01

Step 1. Given information: 

Fubini's theorem.

02

Step 2. Stating Fubini's theorem:

Fubini's theorem states that a double integral can be computed using iterated integrals, which means the order of integration can be switched for which the order chosen is easier to evaluate. Let a<band c<dbe real numbers, let R be the rectangle defined by R={(x,y)axband cyd}and let f(x,y)be continuous on R. Then Fubini's theorem states as

Rf(x,y)dA=cdabf(x,y)dxdy=abcdf(x,y)dydx

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