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Express the Integral 02x24(xy2+x)dydx\int _ { 0 } ^ { 2 } \int _ { x ^ { 2 } } ^ { 4 } \left( x y ^ { 2 } + x \right) d y d x

Question 165

Essay

Express the integral 02x24(xy2+x)dydx\int _ { 0 } ^ { 2 } \int _ { x ^ { 2 } } ^ { 4 } \left( x y ^ { 2 } + x \right) d y d x as an equivalent integral with the order of integration reversed.

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