求不定积分∫sin(x/2)dx

问题描述:

求不定积分∫sin(x/2)dx

∫sin(x/2)dx =2*∫sin(x/2)dx/2=-4cos(x/2)+c

∫sin(x/2)dx ===2∫sin(x/2)d(x/2)
==2{-cos(x/2)}+c==-2cos(x/2)+c

∫sin(x/2)dx
=2∫sin(x/2)d(x/2)
=-2cos(x/2)+C