Evaluate the line integral S. 4x²ds, where C is the line segment from (-2, –1) to (0,–1) followed by the (0, –1) to (1,2).

Q: Compute the line integral 는 (J Where c is the part of Aheecrele xh ayt=g in the first quadrent from…

A: We will evaluate the given line integral.

Q: If C is the line segment from (6, 1) to, (0,0), find the value of the line integral: S(5y i+ x) • dr…

A:

Q: Please solve the line integral Se F · dĩ In where: F = y²i+2r(y+1)j Is along 2 unique paths from the…

A:

Q: Evaluate the line integral along the given path: 1. So ry ds, where C : r(t) = 4ti + 3t²j, 0 < t <…

A:

Q: Calculate the following line integral where C is the straight line from (1,2) to (4,7). S xy ds C

A: The given integral is I=∫Cxy4 ds where C is the straight line from (1,2) to (4,7). We have to find…

Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

A:

Q: Evaluate the line integral along the given paths. | xy ds (a) C: line segment from (0, 0) to (5, 4)…

A: We need to evaluate,                          . For (a), .

Q: Evaluate the line integral xyz ds where C is the line segment joining the points (1, – 1, 1) to (1,…

A:

Q: Evaluate the line integral -ydx + xdy along the curve C: = = 21x from (21, 21) to (0,0). %3D NOTE:…

A:

Q: Evaluate the given line integral. | (y, -x) · dR, where C consists of the uppder part of x2 + y? = 1…

A:

Q: Evaluate the line integral, where C is the given curve. (x + 8y) dx + x2 dy, C consists of line…

A:

Q: Find the line integral of F(x, y, z) = x³i + yj+ zk along th the origin to the point (3, 2, 6). F.…

A: See the details solution in below

Q: use the Fundamental Theorem of line Integrals to evaluate F. dR, where F (*.y) = < y. - X and C is…

A:

Q: 1. Evaluate the line integral of E-xa, -y a, along the segment P; to P; of the circular path as…

A:

Q: Evaluate the line integral of x^3(z)ds, where C is the line segment from (0,8,2) to (7,4,6).

A:

Q: Compute each of the following line integrals. (a) / x ds, where C is the portion of the parabola…

A: We have to find the value of ∫Cxds where C is the portion of the parabola from 0,0 to 1,1,followed…

Q: Evaluate the given line integral. I (y, –x) · dR, where C consists of 4y = x² from (-2, 1) to %3D C…

A: Line integration of the function

Q: Evaluate the line integral, where C is the given curve. (x + 9y) dx + x² dy, C consists of line…

A: To evaluate the line integral, consider the curveC1 consisting of the line segment from0,0to9,1. The…

Q: Evaluate the line integral Say dx +z dy, where C is the line segment from (-1, 1, 2) to (2, 3, 1).

A: Evaluate the line integral ydx +zdy where C is the line segment from (-1,1,2) to (2,3,1). Here i…

Q: Evaluate the line integral given in the figure below

A: Given question is belongs to the vector calculus and from the line integration we have to integrate…

Q: Use the Fundamental Theorem of Line Integrals to calculate d exactly. 7-7+4y²f arqund the top of the…

A: Given

Q: 2. Evaluate the given line integral, (x – y, y) · dR, where C is the line segment from (0, 1) to…

A:

Q: Find the line integral of f(x,y,z) = -x+y+z over the straight-line segment from (1, 2, 3) to (0, −1,…

A:

Q: 3. Compute the line integral of F(x, y) consisting of the line segment from (T,0) to (2, 5),…

A:

Q: Evaluate the given integral where C is the directed line segment that joins the point 1 to the point…

A: The given problem is to evaluate the given path integral over given path of line segment joining…

Q: Evaluate the line integral |-ydx + xdy along the curve C : y² = 24x from (24, 24) to (0, 0).

A:

Q: Find the line integral of F =9xy*ï +(x² + 3),yj over the path L.

A:

Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: 3) Show that the line integral is independent of path and then evaluate the integral: S. sin y dx +…

A:

Q: If C is the line segment from (6,3) to, (0,0), find the value of the line integral: Se(by? i+ 3z) -…

A:

Q: Find the line integral of f(x,y,z) = -x + y+z over the straight-line segment from (1, 2, 3) to (0,…

A:

Q: 1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

A: Given  ∫C(-y,x-y).dR→ where C is upper part of circle  x2+y2=4 from (-2,0) to (2,0).   Note-As per…

Q: 2. Evaluate the given line integral, (-y,x – y) · dR, where C is the line segment from (1,0) to…

A:

Q: Show that the line integral is independent of path and evaluate the integral. integral C…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 sts 1.

A:

Q: 2. Evaluate the given line integral, (-y, x – y) · dR, where C is the line segment from (2,0) to (0,…

A: Using parametric equation, line integration is evaluated.

Q: Evaluate the integral a sin y ds where C is the line segment from (0, 3) to (4,6),

A:

Q: 15. Evaluate the line integral J.(3xy* - 6xy ]dx + (4x°y³ - 3x?) dy, where C is any path from (1,2)…

A:

Q: Evaluate the line integral IF.då over the path C to Q (2,4) from P(0,) where F(xy) = 2xy2 + 3y f 131…

A: According to question, Given function, F→x, y = 2xy2 i^ +3y j^,We have to calculate line integral…

Q: Find the line integral along the given path C. Ju- |(x- y)dx, where C: x = t, y = 5t + 6, for 0 sts2…

A:

Q: 5, find the line integrals along the given path C. In 13. | (x – y) dx, where C: x = 1, y = 21 + 1,…

A:

Q: Evaluate the line integral along the curve C. S-s - ydx + xdy, C: y² = 3x from (3,3) to (0,0) O 4 O…

A:

Q: Evaluate the line integral along the given path. (4x-7y)ds C:r = 7ti+6tj, 0 ≤ y ≤8 O-454/85 O-444√85…

A:

Q: Find the line integral of C in two ways; A) Directly. B) Using Green's theorem. C eata formed by the…

A:

Q: Show that the following line integral is path independent and evaluate its value. Show the details…

A: We have  I=∫(0,0)(3,5) cosh(x23+y25)(10xdx+6ydy)apply Green's…

Q: Evaluate the given line integral. | (y, -x) dR, where C consists of 4y = x² from (-2, 1) to (2, 1)…

A:

Q: Show that the following line integral is path independent and evaluate its value. Show the details…

A: Given the line integral,  I=∫0,03,2coshx23+y248xdx+6ydyI=∫0,03,28xcoshx23+y24dx+6ycoshx23+y24dy We…