Question is as follows:
Evaluate the Surface Integral.
S is the surface with parametric equations x = u2, y = usin(5w), z = ucos(5w), 0 ≤ u ≤ 1, 0 ≤ w ≤ π/(10).
I attempted it using the formula
This gave me \int \int (usin(5w)ucos(5w))*sqrt((-5u(sin(5w))^2 - 5u(cos(5w))^2)^2+(10usin(5w))^2+(10ucos(5w))^2)
(sorry was too long for image).
I then evaluated this with respect to the given limits and got (5^(3/2))/10which is incorrect.
Is there an easier way to do this or did I make a silly mistake somewhere?