abstract: I will explain the integrability-based method to compute three-point functions in the so-called SU(2)-sector of N=4 SYM at strong coupling. Owing to the AdS/CFT correspondence, such computation can be performed by evaluating the area of the string worldsheet in $AdS_3 \times S^3$ spacetime plus the boundary terms which originate from the vertex operators. The resultant expression we get is unexpectedly similar to the one obtained in the gauge theory at weak coupling.