Given polar curves C₁: upper half of the circle r = 4cose C₂: petal of rose r = cos(40) above the polar axis that is symmetric about the TU NI: 2 axis Note that in the first quadrant, C₁ and C₂ intersect at the point with polar coordinates P P (√5 -1,25). 4 Prove algebraically that the pole is also a point of intersection of C1 and C2. Set up (but do not evaluate) the integral(s) equal to the area of the shaded region.

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