Can someone help out?

I tried to invoke Green's theorem but couldn't as Green's theorem is valid for 2D vector fields and here I have a 3D vector field.

Can someone help ?

#Calculus #Green'sTheorem

Easy Math Editor

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Comments

by stokes theorem you would be able to convert this line integral into surface integral by the means of taking curl of line integral ie curl= cross product of vectors

Bhavesh Chanchlani - 5 years, 8 months ago

Use Calvin Stokes Theorem maybe?

@Jake Lai , any ideas?

Agnishom Chattopadhyay - 5 years, 9 months ago

Stokes is for Surface integrals while here I have a line.

@Calvin Lin Please help

Rajdeep Dhingra - 5 years, 9 months ago

use stokes theorem for converting line to surface integral

Bhavesh Chanchlani - 5 years, 8 months ago

Can you do it and show ? I tried.

Rajdeep Dhingra - 5 years, 8 months ago

is there any relation between x,yand z are given like in some parametric form or any boundary condition

Bhavesh Chanchlani - 5 years, 8 months ago

@aryan goyat Bhaiya , I want to improve my physics. Please tell how to do it. Anything regarding books , problem books , websites , videos , contest problems etc. I want to clear NSEP this year and may it to OCSC atleast.

Rajdeep Dhingra - 5 years, 3 months ago

i think there is no place better than brilliant to improve your physics ,you can try mechanics problems by Deepanshu Gupta,Mvs Saketh,Ronak Agarwal as no can teach physics better than questions. i would also suggest you to complete irodov before NSEP , it will definately help and the next thing out in physics is to never give up in any kind of question , the more you think about it more good you become.I myself has now decided that i will weekly post one question with the title "Physics is Cool" and would try to post question from every topic ,each question carrying a new concept.

aryan goyat - 5 years, 3 months ago

Thanks, Any theory book would definitely help.

Rajdeep Dhingra - 5 years, 3 months ago

@Rajdeep Dhingra – though i don prefer reading physics but still i have seen people admiring hcv ,resnik and haliday,physics galaxy.

aryan goyat - 5 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$