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**Vector calculus ---line integral**

## Homework Statement

If vector F(r)= (x^2)y

**i**+ 2yz

**j**+ 9(z^2)x

**k**, find ∫ vector

**F**dot vector d

**r**between (0,0,0) and (1,2,3)

## Homework Equations

## The Attempt at a Solution

If I want to find work done, then I just use

**F**dot d

**r**in this case , in F act in the direction of r, then I will get the answer in term of x y z, then substitute x=1, y=2, z=3 to get the work done.

But for this case, it didnt say it is work done, so still have to do ∫

**F**dot d

**r**, ∫Fdx

**i**+∫Fdy

**j**+∫Fdz

**k**, then ∫Fdx

**i**from x=0 to x=1 by keeping y and z constant, then what should I substitute to my y and z ?

Please help.

Thank you.

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