Find the area of the curve r^2 = 3-4cos^2∅, symmetrical to origin and Ox.
1
Expert's answer
2021-05-07T12:32:16-0400
Given, the curve r2 = 3-4cos2∅, symmetrical to origin.
Area of region above the origin=
=21∫6π65πr2d∅=21∫6π65π3−4cos2∅d∅=21∫6π65π3−421−cos2∅d∅=21∫6π65π1+cos2∅d∅=21[∅+2sin2∅]6π65π=21[65π−43−6π−43]=21[32π−23]=0.614square units
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