Relationship between CDF and PDF

In terms of areas

A CDF can be drawn from a PDF as follows :

Area accumulated by $f_X(\theta )$ up to point $c$ equals $F_X(c)$.

Mathematically

The PDF is simply the derivative of the CDF:

$$f_X(x)=F_X^{\prime }(x)=\frac{d}{dx}{F}_X(x)$$

The CDF is then the integral of the PDF:

$$F_X(x)={\int }_{-\infty }^x{f}_X(t),dt$$