In mathematics, an absolutely integrable function is a function whose absolute value is integrable, meaning that the integral of the absolute value over the whole domain is finite. In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction. The numerator and the denominator can be any function. The domain of the rational function is real value.
I want to know is there any example for absolute integrable rational function in real value which is not a piecewise function?