1. Integration 1.1. Purpose Integrate a signal. 1.2. Description The trapezoidal rule is used to integrate the whole signal: \[\int_{a}^{b} f(x)\, dx \approx \frac{1}{2} \sum_{k=1}^{N} \left( x_{k+1} - x_{k} \right) \left( f(x_{k+1}) + f(x_{k}) \right)\] 1.3. Input Any equidistant or non-equidistant signal (see Signal Types ). 1.4. Output The integrated signal.