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Card 12 / 12:
iterated integral
for a function f ( x , y ) over the region R is ∫ a b ∫ c d f ( x , y ) d x d y = ∫ a b [ ∫ c d f ( x , y ) d y ] d x , ∫ c d ∫ b a f ( x , y ) d x d y = ∫ c d [ ∫ a b f ( x , y ) d x ] d y , where a , b , c , and d are any real numbers and R = [ a , b ] × [ c , d ]
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