求大神解一下这两道题
求大神给这两道高数题答案极其详解,谢谢
解:1题,∵∫(0,π/2)lnsinxdx=∫(0,π/4)lnsinxdx+∫(π/4,π/2)lnsinxdx,对后一个积分,设x=π/2-t,则有∫(π/4,π/2)lnsinxdx=∫(0,π/4)lncostdt,∴∫(0,π/2)lnsinxdx=∫(0,π/4)(lnsinx+.
求大神讲解一下这两道题,多谢多谢!!!学渣一枚
求大神给这两道高数题答案极其详解,谢谢
解:1题,∵∫(0,π/2)lnsinxdx=∫(0,π/4)lnsinxdx+∫(π/4,π/2)lnsinxdx,对后一个积分,设x=π/2-t,则有∫(π/4,π/2)lnsinxdx=∫(0,π/4)lncostdt,∴∫(0,π/2)lnsinxdx=∫(0,π/4)(lnsinx+.
求大神讲解一下这两道题,多谢多谢!!!学渣一枚