∫1/根号x*sec^2(1-根号x)dx

问题描述:

∫1/根号x*sec^2(1-根号x)dx

∫1/根号x*sec^2(1-根号x)dx
=2∫sec^2(1-根号x)d(√x)
=-2∫sec^2(1-根号x)d(1-√x)
=-2tan(1-√x)+c