ry I = dA. + y? donde R es la región del plano XY, dada por R= R1U R2, y represent ada en la gráfica adjunt a. R R2 Al transformar la integral anterior aplicando el cambio de vari able a coordenad as polares se obtiene: p/6 picos(0) cos e sen e CL /2 cos e sen 0 A) I= drde + drde cos(0) pd cos(0) r cos e sen 6 drde + =/3 r cos e sen e drde A cos(0) B) I = CL. /3 rAcos(@) =/2 cos 0 sen e cos 0 sen e C) I = drde + drde 12 4 cos(@) A cos(0) 피2 r cos 0 sen 0 drde + /6 D) I = r cos 0 sen e drde J4 cos(0)

ry I = dA. + y? donde R es la región del plano XY, dada por R= R1U R2, y represent ada en la gráfica adjunt a. R R2 Al transformar la integral anterior aplicando el cambio de vari able a coordenad as polares se obtiene: p/6 picos(0) cos e sen e CL /2 cos e sen 0 A) I= drde + drde cos(0) pd cos(0) r cos e sen 6 drde + =/3 r cos e sen e drde A cos(0) B) I = CL. /3 rAcos(@) =/2 cos 0 sen e cos 0 sen e C) I = drde + drde 12 4 cos(@) A cos(0) 피2 r cos 0 sen 0 drde + /6 D) I = r cos 0 sen e drde J4 cos(0)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.5: Polar Coordinates

Problem 97E

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