Line Integrals

Question

Question

Evaluate the line integral ∫Cx2zds, where C is the line segment from (0,3,1) to (8,7,6). I managed to calculate but it was wrong.

math calculus

Answer 1

Answer #1

<----Ifthe case is like this

taking integral over x first:

where xis from 0 to 8;

Then:

taking integral over y:

Then:

zy where y is from 3 to 7;

Then:

The answer is 35840/3= 11946,67

answered by: Emma-

Answer 2

Similar Homework Help Questions

Problem 1. (16.2 Line Integrals) Evaluate the line integral Jc xeids, where C is the line segment from (0,0,0) to (1.2,3).(t,at,3t) Problem 1. (16.2 Line Integrals) Evaluate the line integra...

Problem 1. (16.2 Line Integrals) Evaluate the line integral Jc xeids, where C is the line segment from (0,0,0) to (1.2,3).(t,at,3t) Problem 1. (16.2 Line Integrals) Evaluate the line integral Jc xeids, where C is the line segment from (0,0,0) to (1.2,3).(t,at,3t)
Problem 1 Evaluate the line integral / x2 ds, where C is the line segment from...

Problem 1 Evaluate the line integral / x2 ds, where C is the line segment from (3,0) to (0,4) in the xy-plane.
1. Evaluate the complex integral: ∫C [zRe(z) − z¯Im(z)]dz, where C is the line segment joining...

1. Evaluate the complex integral: ∫C [zRe(z) − z¯Im(z)]dz, where C is the line segment joining −1 to i. (z¯ = z bar) 2. Evaluate the complex integral: ∫ C [iz^2 − z − 3i]dz, where C is the quarter circle with centre the origin which joins −1 to i.

Consider the line integral Sc xy dx + (x - y) dy where is the line...

Consider the line integral Sc xy dx + (x - y) dy where is the line segment from (4, 3) to (3,0). Find an appropriate parameterization for the curve and use it to write the integral in terms of your parameter. Do not evaluate the integral.
Evaluate the line integral | * dr + 2diu + g? ds. 22 dx + x?...

Evaluate the line integral | * dr + 2diu + g? ds. 22 dx + x? dy + y2 dz, where C is the line segment from (1,0,0) to (4,1,2).
SCalcET8 16.2.015. Evaluate the line integral, where C is the given curve.

SCalcET8 16.2.015. Evaluate the line integral, where C is the given curve. ∫c z2 dx + x2 dy + y2 dz, C is the line segment from (1, 0, 0) to (3, 1, 4)

Evaluate the line integral, where C is the given curve. Sc xyz2 ds C is the...

Evaluate the line integral, where C is the given curve. Sc xyz2 ds C is the line segment from (-1,3,0) to (1,4, 1). 63V6 20 Need Help? Read It Talk to a Tutor
please respond with explanations for each step. thank you Problem 4 Evaluate the line integrals (a) (10 points) y da...

please respond with explanations for each step. thank you Problem 4 Evaluate the line integrals (a) (10 points) y da 2ax dy, where C is the curve r(t) (2t + 1) i+ 3t2 j, 0t 1. (b) (10 points) (ryz) ds, where C is the line segment from the point (2, 1,0) to the point (4,3,6) (c) (10 points) F.dr,where F is the vector field F(x, y) = yi - rj and C is the curve given by r(t) t2i+...
Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of...

Evaluate the line integral. fr de x² dx + y²dy, where C is the arc of the circle x2 + y2 = 4 from (2,0) to (0,2) followed by the line segment from (0, 2) to (4,3).

I need help with this. Thank you for your time. MTH705 Problems 4.... 4.3 Evaluate the...

I need help with this. Thank you for your time. MTH705 Problems 4.... 4.3 Evaluate the line integral, ds where C is given by: x = t3, y = t4, 13ts 2 4.4 Evaluate the line integral, x?dx+y?dy where C is the line segment from (0,1) to (5,4) ype here to search O