Determine work done by electric field

[Baramos]

Homework Statement

Given electric field $\vec E = 6x^2\hat i +6y\hat j+4\hat z$ v/m
Find $V_{MN}$ if both M and N separate by M(2,6,-1) and N(-3,-3,2)

Homework Equations

The Attempt at a Solution

here i find $V_{MN}$ by
unit vector from N to M is $\frac 1 {\sqrt (115)}(5\hat i +9\hat j -3\hat k)$
so $V_{MN} = -\int \vec E \cdot \vec {dl} = \int \vec E \cdot \vec {\frac 1 {\sqrt 115}(5dx\hat i +9dy\hat j -3dz\hat k)}$
and then i find intregral with respect to x from -3 to 2
respect to y from -3 to 6
respect to z from 2 to -1
and my answer is -103.97 v but textbook solution is -139.0 v what i do wrong

 

[Orodruin]

You should not normalise $d\vec \ell$. You need to use the appropriate expression for the displacement vector, i.e., $d\vec \ell = \hat i dx + \hat j dy + \hat k dz$.