Find the distance traveled by a particle with position $( x , y ) = \left( \cos ^ { 2 } t , \cos t \right)$ as t varies in the time interval $[ 0,4 \pi ]$ . Compare with the length of the curve.

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The Answer of Find the distance traveled by a particle with position $( x , y ) = \left( \cos ^ { 2 } t , \cos t \right)$ as t varies in the time interval $[ 0,4 \pi ]$ . Compare with the length of the curve.

Find the Distance Traveled by a Particle with Position (x,y)=(cos⁡2t,cos⁡t)( x , y ) = \left( \cos ^ { 2 } t , \cos t \right)(x,y)=(cos2t,cost)

Find the Distance Traveled by a Particle with Position $( x , y ) = \left( \cos ^ { 2 } t , \cos t \right)$