求不定积分∫xcos(x^2)dx

求不定积分∫xcos(x^2)dx
求不定积分∫xcos(x^2)dx

求不定积分∫xcos(x^2)dx
∫xcos(x^2)dx
=∫cos(x^2)(xdx)
=∫cos(x^2)(d(x^2)/2)
=(1/2)∫cos(x^2)d(x^2)
=(1/2)sin(x^2)+C

∫xcos(x^2)dx=1/2∫cos(x^2)dx^2=1/2sin(x^2)+C

∫xcos(x^2)dx=1/2∫cos(x^2)dx^2=1/2sin(x^2)+C

∫xcos(x^2)dx
=1/2∫cos(x^2)dx^2
=1/2sinx^2+C