解:cos^2x=(1+cos2x)/2,

所以∫cos^2x dx

=∫(1+cos2x)/2dx

=x/2+sin2x/4+C,C为积分常数。

∫cos^2xdx

=∫(1+cos2x)dx/2

=∫(1+cos2x)d2x/4

=(1/4)∫[d2x+cos2xd2x]

=(1/4){2x+sin2x+c1}

=x/2+(sin2x)/4+c

=1/2*cos^2x d2x

cos^2x=(1+cos2x)/2

∴∫ cos^2x dx=∫ (1+cos2x)/2 dx

=(1/4) ∫ (1+cos2x) d2x

=(2x+sin2x+C)/4

cos^2x分之dx等于?cos^2x分之dx等于?