Question

Evaluate ∫cvector (F.dr)⋅ where vector F = x2i + y2j + z2k and C is given by x = cost, y = sint, z = t, 0 ≤ t ≤ π.

Answer 1

Vector F = x2i + y2j + z2k

Here, x = cost ⇒ dx = – sintdt

y = sint ⇒ dy = costdt

z = t ⇒ dz = dt