The points of intersection of the cardioid r = 1 + sin and the spiral loop

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The points of intersection of the cardioid r = 1 + sin θ and the spiral loop r = 2θ, -π/2 ≤ θ ≤ π / 2, can't be found exactly. Use a graphing device to find the approximate values of θ at which they intersect. Then use these values to estimate the area that lies inside both curves.
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