1/[根号下(y^2+1)]对y积分怎么积啊请大侠给个思路别光给结果啊

Question

1/[根号下(y^2+1)]对y积分怎么积啊 请大侠给个思路 别光给结果啊

Answer 1

∫dy/√(1+y^2) y=tanu
=∫secudu
=ln|secu+tanu|=ln|√(1+y^2)+y|