Compute the following path integral

(sinz)dx+(cosz)dy(xy)1/3dz

Where is parametrized by

()=cos3i^+sin3j^+k^,027

Some note may useful:

Jot. do to t : [ to , t. ] = f (oct . > > - f (oct . ) ) . ( ( * ) + y (+ ) + z 't > dt = [ fxex' (t ) + tyy' c+ ) + $z z " ctidadt d de J ( 8 (t ) )