# Moving Dot P on a Plane

Calculus Level pending

The coordinates of a dot $$P$$ moving on the x-y plane at time $$t$$ is given by: $x = \int_0^t\theta \cos\theta\ d\theta \text{ and } y = \int_0^t\theta \sin \theta\ d\theta.$ What is the distance traveled by $$P$$ in the interval $$0 \leq t \leq 20$$?

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