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Calculate the Iterated Integral ∫01(∫01(x3+y2+xy)dy)\int _ { 0 } ^ { 1 } \left( \int _ { 0 } ^ { 1 } \left( x ^ { 3 } + y ^ { 2 } + x y \right) d y \right)

Question 55

Short Answer

Calculate the iterated integral ∫01(∫01(x3+y2+xy)dy)\int _ { 0 } ^ { 1 } \left( \int _ { 0 } ^ { 1 } \left( x ^ { 3 } + y ^ { 2 } + x y \right) d y \right) dx.
Enter just a reduced fraction of form ab\frac { a } { b } .

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