Аннотация:The purpose of this report is to demonstrate searching the first integral of motion by the method of normal form. For the object of this demonstration, we have chosen the Li\'{e}nard-like equation. We represented the equation as a dynamical system and parameterized it. We wrote down the conditions of the local integrability near stationary points and found parameter values at which these conditions are satisfied at all stationary points simultaneously. The system is integrable at solutions of these conditions.