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Evaluate : int(sin^(2)x)/((1+cosx)^(2))d...

Evaluate : `int(sin^(2)x)/((1+cosx)^(2))dx`.

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`int(sin^(2)x)/((1+cosx)^(2))dx=int((sinx)/(1+cosx))^(2)dx=int[(2sin(x//2)cos(x//2))/(2cos^(2)(x//2))]^(2)dx`
`=inttan^(2)(x//2)dx=int("sec"^(2)(x)/(2)-1)dx`
`=intsec^(2)(x//2)dx-intdx=2tan(x//2)-x+C`.
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