If A is the top half of a unit circle a^2+b^2 = 1, b ≥ 0 and this is oriented counterclockwise. Calculate ∫A  b^2 da − 3 db

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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 If A is the top half of a unit circle a^2+b^2 = 1, b ≥ 0 and this is oriented counterclockwise. Calculate ∫A  b^2 da − 3 db

(use the fact that  ∫sin^3 (a) da = 1/12 cos(3a) − 3/4 cos(a) + C ) 

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