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[EUS] Kalkulatu   eremuak egindako lana A puntutik B puntura doan emandako...

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[EUS] Kalkulatu E with rightwards arrow on top eremuak egindako lana A puntutik B

puntura doan emandako ibilbidean zehar, erloju-orratzen aurkako

noranzkoan (positiboan).

[CAS]

Calcular el trabajo

realizado por el campo

E with rightwards arrow on top desde el punto A

hasta el

punto

B

a lo largo del camino indicado en sentido inverso a

las agujas del reloj (positivo).

E with rightwards arrow on top equals open parentheses fraction numerator x y over denominator x squared plus y squared end fraction comma fraction numerator x over denominator x squared plus y squared end fraction close parentheses

A equals left parenthesis 3 comma 1 right parenthesis comma space B equals left parenthesis 1 comma 1 right parenthesis

left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 1

Laguntza / Ayuda:

  • Agindu erabilgarriak / comandos útiles: Integrate, NIntegrate, integral subscript a superscript b left parenthesis... right parenthesis d x

  • Funtzio eskalar baten lerro integrala / Integral curvilínea de una función escalar:
 integral subscript C f left parenthesis x comma y right parenthesis d l equals integral subscript a superscript b f left square bracket x left parenthesis t right parenthesis comma y left parenthesis t right parenthesis right square bracket space square root of x apostrophe left parenthesis t right parenthesis squared plus y apostrophe left parenthesis t right parenthesis squared end root d t
  • Funtzio bektorial baten lerro integrala / Integral curvilínea de una función vectorial:
integral subscript C P left parenthesis x comma y right parenthesis d x plus Q left parenthesis x comma y right parenthesis d y equals integral subscript a superscript b open curly brackets P left square bracket x left parenthesis t right parenthesis comma y left parenthesis t right parenthesis right square bracket space x apostrophe left parenthesis t right parenthesis plus Q left square bracket x left parenthesis t right parenthesis comma y left parenthesis t right parenthesis right square bracket space y apostrophe left parenthesis t right parenthesis space close curly brackets d t

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