The Standard Model (SM) of particle physics is currently the best theory to describe the interactions between elementary particles and their properties. The observation of CP violation in a variety of weak processes in the quark sector — allowing an absolute distinction of particles and antiparticles — is well explained by the SM (through so-called Cabibbo-Kobayashi-Maskawa ansatz). CP violation is one of the necessary conditions for baryogenesis and might be the key to explain the matter-antimatter asymmetry in the universe. This dissertation presents the search for CP violation in the doubly Cabibbo suppressed (DCS) D+ → π−π+K+ decay, using data collected by LHCb from 2016-2018 of pp collisions with a centre of mass energy of 13 TeV, corresponding to an integrated luminosity of 5.6 fb1. The goal of this analysis is the implementation of a model-independent technique to perform a statistical comparison between the phase space, called Dalitz Plot (DP), of particle and antiparticle decay channel, searching for local differences in the distribution of events between the two DPs. First, a selection process was executed to remove background contributions from other charm decays, as well as a multivariate analysis using machine learning algorithms to reduce combinatorial background levels. After the selection, a final sample of ¨6M signal candidates was obtained, which is nowadays the largest sample ever obtained for a DCS D+ decay channel, allowing an outstanding sensitivity for CPV search. This is the first CPV search in the studied decay channel. This analysis is performed blinded, meaning that there is no actual result for the signal region at this first stage and in order to guarantee that there are no nuisance asymmetries, from production and detection effects, tests were performed using the background region, the control channel D+ → K−π+π+ and the Monte Carlo simulated sample.