Letf\left(x, y,z\right)=x^3y^2+y^3z^2+\sin\left( x+y\right)\cos\left(x+z\right)f ( x , y , z ) = x 3 y 2 + y 3 z 2 + sin ⁡ ( x + y ) cos ⁡ ( x + z ). determine the line integral of f\left(x, y,z\right)f ( x , y , z ) with respect to arc length over the curve r\left(t\right)=\left(\cos\left(2\p i t\right),\sin\left(2\pi t\right),t\right)r ( t ) = ( cos ⁡ ( 2 π t ) , sin ⁡ ( 2 π t ) , t ) where t ranges from 0 to 1.