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The Area of a Region R Is Given by the Iterated

question 26

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The area of a region R is given by the iterated integrals 02x16dydx+2404x16dydx\int _ { 0 } ^ { 2 x } 16 d y d x + \int _ { 2 } ^ { 4 } \int _ { 0 } ^ { 4 - x } 16 d y d x Switch the order of integration and show that both orders yield the same area. What is this area?


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