1+x-x^2=5/4-(x-1/2)^2letx-1/2 = (√5/2)sinudx =(√5/2)cosu du∫dx/√(1+x-x^2)=∫(√5/2)cosu du/[(√5/2)cosu]=∫ du=u +C=arcsin[(2x-1)/√5] + C