- 帮忙看看这道题答案是w/(w^2+p^2),可是我都算快有100
- 答案是w/(w^2+p^2) , 可是我都算快有100遍了 ，怎么算都是等于w/(w^2+1/p^2) 谁能给说明下哪算错啦！非常感谢啊！！！！！！！！！！！估计不是答案错了
- 设m=
∫e^(-pt)sinwtdt=-(1/p)∫sinwtde^(-pt)
=-(1/p)e^(-pt)sinwt+(1/p)∫e^(-pt)dsinwt
=-(1/p)e^(-pt)sinwt-(w/p^2)∫coswtde^(-pt)
=-(1/p)e^(-pt)sinwt-(w/p^2)e^(-pt)coswt+(w/p^2)∫e^(-pt)dcoswt
=-(1/p)e^(-pt)sinwt-(w/p^2)e^(-pt)coswt-(w^2/p^2)∫sinwte^(-pt)dt
(1+w^2/p^2)∫=-(1/p)e^(-pt)sinwt-(w/p^2)e^(-pt)coswt
(1+w^2/p^2)∫→w/p^2
∫=w/(p^2+w^2)
原答案正确
要注意∫e^(-pt)dt=-(1/p)∫de^(-pt),
可能这里的分母p丢了.
供参考.