Two useful integrals involving generalised Marcum Q-function

This reported work focuses on two useful integrals involving the generalised Marcum Q-function, i.e. Q_m(a√x,b) and Q_m(a,b√x), which usually arise in the performance analysis in the radar and communication societies. Closed-form solutions, in terms of the confluent hypergeometric function, are derived and validated by comparing with A.H. Nuttall´s results and simulations.