determine distribution function from density function The variable $\xi$ has the following density function:
$$f(x)=\begin{cases}x/50&0<x<10\\
0&else\end{cases}$$ 
How do I determine its distribution function?

The definition of the Cumulative Distribution Function (CDF) follows as :
$$F_X(x) = P\{X\leq x\} = \int_{-\infty}^xf_X(x)dx =\int_{-\infty}^xf(s)ds =\int_{0}^{x}\frac{s}{50}ds$$
