∵∫√(x^2-1)dx=x√(x^2-1)-∫xd[√(x^2-1)]=x√(x^2-1)-∫x[x/√(x^2-1)]dx=x√(x^2-1)-∫[(x^2-1+1)/√(x^2-1)]dx=x√(x^2-1)-∫√(x^2-1)dx-∫[1/√(x^2-1)...
∵∫√(x^2-1)dx=x√(x^2-1)-∫xd[√(x^2-1)]=x√(x^2-1)-∫x[x/√(x^2-1)]dx=x√(x^2-1)-∫[(x^2-1+1)/√(x^2-1)]dx=x√(x^2-1)-∫√(x^2-1)dx-∫[1/√(x^2-1)...