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# CDF

Returns the area from zero to x under the beta density.
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C++

## CDF

 doubleCDF( double x double a double b )[inline]
The CDF of the Beta distribution is identical to the regularized beta function:

$CDF(x;&space;a,&space;b)&space;=&space;I(x;&space;a,&space;b)&space;=&space;\frac{B(x;&space;a,&space;b)}&space;{B(a,&space;b)}$

where $\inline&space;&space;B(x;&space;a,&space;b)$ is the incomplete beta function and $\inline&space;&space;B(a,&space;b)$ is the (complete) beta function.

An illustration is given below:
There is an error with your graph parameters for CDF with options x=0:1 a=2 b=1:5:5 .size=medium

Error Message:Function CDF failed. Ensure that: Invalid C++

### References

Cephes Math Library Release 2.8: June, 2000

### Parameters

 x a quantile in the range of 0<=x<=1 a first shape parameter, a >0 b second shape parameter, b >0
##### Source Code

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