Answer
The units for the integral are $~~newtons\times meters,~$ which are $~~joules$
Work Step by Step
When we have an integral $\int_{a}^{b}f(x)~dx$, then the units of measurement when we evaluate the integral are the product of the units for $f(x)$ and the units for $x$.
Consider the following integral:
$\int_{0}^{100}f(x)~dx$
The units for $f(x)$ are $~newtons~$ and the units for $x$ are $~meters~$. Therefore, the units for the integral are $~~newtons\times meters$, which are $~~joules$