Evaluate the integral by making an appropriate change of variables. ∬(x - 2y)/(3x - y) dA , where R is the parallelogram enclosed by the lines x - 2y = 0 , x - 2y = 4 , 3x - y = 1 , and 3x - y = 8 | Numerade

Transforming a double integral to obtain constant limits Sometimes a multiple integral with variable limits can be changed into one with constant limits. By changing the order of integration, show that ∫0^1 f(x)(∫0^x g(x-y) f(y) d y) d x =∫0^1 f(y)(∫y^1 g(x-y) f(x) d x) d y =(1)/(2)∫0^1∫0^1 g(|x-y|) f(x) f(y) d x d y | Numerade