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Find the area inside the lemniscate r^2=150cos(2theta) and outside the circle r=5sqrt(3).

Please I really need help.

  • Math -

    find 0<α<π/4 where the curves intersect

    Then, by symmetry,

    a = 8∫[0,α] 1/2 (R^2-r^2) dθ
    where R=150cos2θ and r=5√3

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