Evaluate the line integral, where C is the given curve. integral C x^2dx+y^2dy, C consists of the arc of the circle x^2+y^2=4 from (2, 0) to (0, 2) followed by the line segment from (0, 2) to (4, 3)

Evaluate the line integral, where C is the given curve. Integral C (y+z)dx+(x+z)dy+(x+y)dz, C consists of line segments from (0,0,0) to (1,0,1) and from (1,0,1) to (0,1,2)

Evaluate the line integral, where C is the given curve. Integral C xsinyds, C is the line segment from (0, 3) to (4, 6)

Evaluate the line integral, where C is the given curve.

$$\int_C x e^{y z} d s .$$

$C$ is the line segment from $(0, 0, 0)$ to $(1, 2, 3)$.

Evaluate the line integral directly integral through C x^2*y^2dx+xydy, C consists of the arc of the parabola y=x^2 from (0, 0) to (1, 1) and the line segments from (1, 1) to (0, 1) and from (0, 1) to (0, 0)

Evaluate the line integral, where C is the given curve. Integral through C(x^2*y^3-x^1/2)dy C is the arc of the curve y=x^1/2 from (1, 1) to (4, 2)

Evaluate the line integral, where C is the given curve. Integral C xyz ds, C: x=2 sin t, y=t, z=-2cos t, 0<=t<=pi

Evaluate the line integral

$$\int_{c}xyds$$

where $c$ is the given curve

$$c:x=t^{2},~y=2t,~0\leq t\leq 5$$

Evaluate the line integral, where C is the given curve. integral through C (x^2+y^2+z^2)ds, C: x=1, y=cos2t, z=sin2t, 0<=t<=2pi

Find the work done by the force field $\mathbf{F}$ in moving an object from $P$ to $Q$.

$$\mathbf{F}(x, y)=2y^{3/2} \mathbf{i} + 3x\sqrt{y} \mathbf{j}; \quad P(1, 1), \quad Q(2, 4)$$

Evaluate the integral ∫_c (2x -y) dx + (x + 3y) dy along the path C. C: line segments from (0, 0) to (3, 0) and (3, 0) to (3, 3)

Evaluate the line integral $\int_Cxe^{yz}~ds,$ where the given curve $C$ is the line segment from (0, 0, 0) to (1, 2, 3).

Evaluate the line integral, where C is the given curve. integral through C ydx+zdy+xdz, C: x=t^1/2, y=t, z=t^2, 1<=t<=4

Evaluate the line integral by directly method closed integral through C xydx+x^2*y^3dy C is the triangle with vertices (0, 0), (1, 0), and (1, 2)