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Evaluate the definite integrals int0^(...

Evaluate the definite integrals `int_0^(pi)(sin^2(x/2)-cos^2(x/2))dx`

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`int_(0)^(pi)(sin^(2).(x)/(2)-cos^(2).(x)/(2))dx`
` =-int_(0)^(pi)(cos^(2).(x)/(2)-sin^(2).(x)/(2))dx=-int_(0)^(pi)cos x dx`
`=-[sin x]_(0)^(pi) =-[sin pi-sin0]=0`
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