∫(T-sinT)(1-cosT)2 dT 怎么做? 需要详细步骤 谢谢...
展开全部
∫(T-sinT)(1-cosT)^2dT
=∫T[1-2cost+cos^2(T) ]dT-∫sinT(1-cosT)^ dT
=∫T[1-2cost+(1+cos2T)/2]dT-∫(1-cosT)^2 d(1-cosT)
=3T/2-2∫TdsinT+1/4∫Tdsin2T-(1-cosT)^3/3
=3T/2-(1-cosT)^3/3-2TsinT+2∫sinTdT+Tsin2T/4-1/4∫sin2TdT
=3T/2-(1-cosT)^3/3-2TsinT-2cosT+Tsin2T/4+1/8cos2T+C
=∫T[1-2cost+cos^2(T) ]dT-∫sinT(1-cosT)^ dT
=∫T[1-2cost+(1+cos2T)/2]dT-∫(1-cosT)^2 d(1-cosT)
=3T/2-2∫TdsinT+1/4∫Tdsin2T-(1-cosT)^3/3
=3T/2-(1-cosT)^3/3-2TsinT+2∫sinTdT+Tsin2T/4-1/4∫sin2TdT
=3T/2-(1-cosT)^3/3-2TsinT-2cosT+Tsin2T/4+1/8cos2T+C
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
