find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 3π/2
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The arc length of a polar curve r=f(θ) between θ=a and θ=b is given by the integral L=∫ba√r2+(drdθ)2dθ. In the following video, we derive this formula and use it to compute the arc length of a cardioid.
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