求∫sin√xdx的不定积分
问题描述:
求∫sin√xdx的不定积分
答
令√x=t
∫sin√xdx
=2∫tsintdt
=-2∫tdcost
=-2tcost+2∫costdt
=-2tcost+2sint+C
=-2√xcos√x+2sin√x+C