Transcription of Section 15.3 Double integrals inpolar coordinates.
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Section 15.3 Double integrals inpolar coordinates.
Section integrals in polar choose a point in the plane that is called thepole(or origin) and labeledO. Then we draw a ray (half-line)starting atOcalled thepolar axis. This axis is usually drown horizontally to the right and corresponds to thepositivex-axis in Cartesian any point in the plane, letrbe the distance fromOtoPand let be the angle (in radians) betweenthe polar axis and the lineOP. Then the pointPis represented by the ordered pair (r, ) andr, are use the convention that an angle is positive if measured in the counterclockwise direction from the polar axisand negative in the clockwise direction.
Section 15.3 Double integrals inpolar coordinates. We choose a point in the plane that is called the pole(or origin) and labeled O. Then we draw a ray (half-line)
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