Halle F· dr, -yi +xj y x² + y2 donde F (x, y) = C* es la semicircunferencia x² + y? = 1 (y 2 0) orientada positivamente (v. figura 11.9) (ayuda: use la parametrización x = cos t, y = sen t 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Line integral in a vector field.

Halle
F· dr,
-yi +xj
y
x² + y2
donde F (x, y) =
C* es la semicircunferencia x² + y? = 1 (y 2 0)
orientada positivamente (v. figura 11.9) (ayuda: use la parametrización x = cos t,
y = sen t 0<ts ).
Sentido antihorario (+)
Figura 11.9. Ejercicio 11.10
Transcribed Image Text:Halle F· dr, -yi +xj y x² + y2 donde F (x, y) = C* es la semicircunferencia x² + y? = 1 (y 2 0) orientada positivamente (v. figura 11.9) (ayuda: use la parametrización x = cos t, y = sen t 0<ts ). Sentido antihorario (+) Figura 11.9. Ejercicio 11.10
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