化简求值:1/2ln(2x+2√(x^2-1))+ln(√(x+1)-√(x-1)) 2x
问题描述:
化简求值:1/2ln(2x+2√(x^2-1))+ln(√(x+1)-√(x-1)) 2x
答
=1/2ln(x+1+x-1+2√(x^2-1))+ln(√(x+1)-√(x-1))
=ln(√(x+1)+√(x-1)) +ln(√(x+1)-√(x-1))
=ln[(x+1)-(x-1)]
=ln21/2ln(x+1+x-1+2√(x^2-1))从这一步,到:ln(√(x+1)+√(x-1))这是怎么来的……里面正是完全平方公式呀