((sinx)^3-(sinx)^5)^1/2dx.定积分 上限派,下限0
问题描述:
((sinx)^3-(sinx)^5)^1/2dx.定积分 上限派,下限0
答
∫(上限pi,下限0) [(sinx)^3-(sinx)^5]^(1/2) dx=∫(上限pi,下限0) [(sinx)^3 *(1-(sinx)^2)]^(1/2) dx=∫(上限pi,下限0) [(sinx)^3 *(cosx)^2]^(1/2) dx=∫(上限pi/2,下限0) [(sinx)^3 *(cosx)^2]^(1/2) dx+∫(上限...