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If overset(1)underset(0)int(sint)/(1+t)d...

If `overset(1)underset(0)int(sint)/(1+t)dt=alpha`, then the value of the integral `overset(4pi)underset(4pi-2)int("sin"(t)/(2))/(4pi+2-t)dt` in terms of `alpha` is given by

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