- #1

- 3

- 0

F(x, y, z) = y i + x j + z^2 k

S is the helicoid (with upward orientation) with vector equation r(u, v) = ucos(v)i + usin(v)j + v k, 0 ≤ u ≤ 3, 0 ≤ v ≤ 3π.

∫∫S f*dS=∫∫D F*(r_u x r_v)dA

i got int[0,3] and int[0,3pi] usin(v)^2-ucos(v)^2+uv^2dvdu

i do not know how to integrate this(yeah, shame on me) and i don't know if this integral is correct