设t=lnx,
dx=e^tdt, sin(lnx)=∫sint*e^tdt=sint*e^t-∫cost*e^tdt=sint*e^t-[e^tcost+∫sint*e^tdt]
=sint*e^t-e^tcost-∫sint*e^tdt
sinlnx的不定积分急求答案,帮忙回答下
设t=lnx,
dx=e^tdt, sin(lnx)=∫sint*e^tdt=sint*e^t-∫cost*e^tdt=sint*e^t-[e^tcost+∫sint*e^tdt]
=sint*e^t-e^tcost-∫sint*e^tdt