1 + cosx / 1 - cosx answer ?
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1-cosx=2sin^2(x/2)
1+cosx=2cos^2(x/2)
int(1-cosx )/(1+cosx)
int(2sin^2(x/2))/(2cos^2(x/2))
cancel 2 and 2,we get
int(tan^2(x/2))
int(sec^2(x/2))
int(tan^2(x/2)-1)
2tan(x/2)-x+c
1+cosx=2cos^2(x/2)
int(1-cosx )/(1+cosx)
int(2sin^2(x/2))/(2cos^2(x/2))
cancel 2 and 2,we get
int(tan^2(x/2))
int(sec^2(x/2))
int(tan^2(x/2)-1)
2tan(x/2)-x+c
spongy:
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