设lnx=t,则当x=1时,t-0.当x=e^(π/2)时,t=π/2∴原式=∫(0,π/2)e^tsintdt （∫(0,π/2)表示从0到π/2积分）为了求解方便,设I=∫(0,π/2)e^tsintdt∵I=(e^tsintdt)|(0,π/2)-∫(0,π/2)e^tcostdt (应用分部积分)==>I...
