Vector Integrals and Theorems - Part 1 Starter Quiz

Let C be the triangular path connecting the points (0, 0), (2, 2) and (0, 2) in the counter clock wise direction then is equal to______.

Evaluate + (3x²-8y²) dx, where curve is bounded by x=0, y=0 and x+y=1

If f(x, y) = e^xy – x² + y³ and c is the curve shown below, Then is

The value of integral where c is the curve x²+y²=1 and z=y² is

By using Green’s theorem to compute the line integral for (xy² + x²) dx + (4x – 1) dy where is shown below.

If a vector function and S is the surface of the solid bounded by z = 6 – 2x² – 2y² and the plane z = 0, So the value of is _____.