令t=√x,
∫sin√xdx
=∫sintdt^2
=2∫tsintdt
=-2∫tdcost
=-2(tcost-∫costdt)(分部积分)
=-2(tcost-sint)
=-2(√xcos√x-sin√x)
∫sin√xdx如何求解这个积分?
令t=√x,
∫sin√xdx
=∫sintdt^2
=2∫tsintdt
=-2∫tdcost
=-2(tcost-∫costdt)(分部积分)
=-2(tcost-sint)
=-2(√xcos√x-sin√x)