Apply Stoke’s theorem and evaluate

4.C] Apply Stoke’s theorem to evaluate ∬ π‘π‘’π‘Ÿπ‘™ 𝐹⃗ βˆ™ 𝑛̂𝑑𝑠 , where 𝐹⃗ = (π‘₯2+𝑦2)π‘–Μ‚βˆ’ 2π‘₯𝑦𝑗̂, taken around the rectangle bounded by the lines π‘₯ = Β±π‘Ž, 𝑦 = 0, 𝑦 = b.

Answer:-

4.C] Apply Stoke’s theorem to evaluate ∬ π‘π‘’π‘Ÿπ‘™ 𝐹⃗ βˆ™ 𝑛̂𝑑𝑠 , where 𝐹⃗ = (π‘₯2+𝑦2)π‘–Μ‚βˆ’ 2π‘₯𝑦𝑗̂, taken around the rectangle bounded by the lines π‘₯ = Β±π‘Ž, 𝑦 = 0, 𝑦 = b.

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