∫sin²√xdx 等于多少

∫sin²√xdx 等于多少
∫sin²√xdx 等于多少

∫sin²√xdx 等于多少
∫sin²√xdx
=(1/2)∫(1-cos2√x)dx
=x/2-(1/2)∫√xcos(2√x)d(2√x)
=x/2-(1/2)∫√xdsin(2√x)
=x/2-(1/2)√xsin(2√x)+(1/2)∫sin(2√x)d√x
=x/2-(1/2)√xsin(2√x)+(-1/4)cos(2√x)+C