Let f(x) be the continuous probability density function of a random variable x. The probability that $$ a < x \leq b,$$ is

A

$$ f(b - a) $$

B

$$ f(b) - f(a) $$

C

$$ \int_{a}^{b} f(x) dx $$

D

$$ \int_{a}^{b} xf(x) dx $$