Question

Evaluate the line integral, where C is the given curve. Integral over C of x^5*y*sqrt(z) dz. C: x = t^4, y = t, z = t^2, 0 =%3C t =%3C 1.

Answer 1

Curve C1: Parameterise C1 by r(t)=(x(t),y(t) = ( cost, sin t), where 0 ≤ t ≤ π/2 and F = (x2, −xy ) and dr = (dx ... (y2)dx+(x)dy, where C is the is the arc of the parabola x = 4 ...

Answer 2

Evaluate the line integral, where C is the given curve. Integral over C of x^5*y*sqrt(z) dz. C: x = t^4, y = t, z = t^2, 0 =% 3C t =%3C 1. - 6896612.