How do you integrate a force with a scalar function to find the total work done?

[Alia Al-Hajri]

Homework Statement

Assalam Alikum
Hi everybody… a work done by a force=( x²+2xy) in a distance from..pt O =(0,0) to pt P=(1,1)

Homework Equations

Evaluate the total work?

The Attempt at a Solution

I know the solution is by integrate the force from (0,0) to (1,1)
But how that will be?

 

[eczeno]

since your force is not conservative, the work will depend on the path you take from (0,0) to (1,0). the work will be the line integral of F over that path.

W = $$/int _C F ds$$

where C is the path.

 

[Alia Al-Hajri]

Thanks...but I'm afraid that I did't get your idea!
I mean how do you know that the force is not conservative?

 

[eczeno]

well, really, i did not look carefully enough. the force needs to be a vector function, you have given a scalar function.

 

[Alia Al-Hajri]

So...you said that I can not integrate with a force has scalar function..!
Thanks allot