∫cos^2(x/2)dx

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∫cos^2(x/2)dx
∫cos^2(x/2)dx

∫cos^2(x/2)dx
cos(2x)= 2cos^2(x)-1
cos^2(x)= [1+cos(2x)]/2
同理cos^2(x/2)= [1+cos(x)]/2
∫cos^2(x/2)dx= ∫[1+cos(x)]/2 dx =∫1/2 dx + ∫cos(x)/2 dx
= x/2 + sin(x)/2 + C

cos^2(x/2)dx=(1+cosx)/2*dx
因为sinx的导数等于cosx
所以所求导数是x/2+sinx/2+c;

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